A
[dA99] Luca de Alfaro. Computing minimum and maximum reachability times in probabilistic systems. In CONCUR'99, Lecture Notes in Computer Science 1664, pages 66-81. Springer-Verlag, août 1999.
@inproceedings{concur1999-Alf,
  author =              {de Alfaro, Luca},
  title =               {Computing minimum and maximum reachability times in
                         probabilistic systems},
  editor =              {Baeten, Jos C. M. and Mauw, Sjouke},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'99)},
  acronym =             {{CONCUR}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1664},
  pages =               {66-81},
  year =                {1999},
  month =               aug,
}
[dA03] Luca de Alfaro. Quantitative Verification and Control via the Mu-Calculus. In CONCUR'03, Lecture Notes in Computer Science 2761, pages 102-126. Springer-Verlag, août 2003.
@inproceedings{concur2003-Alf,
  author =              {de Alfaro, Luca},
  title =               {Quantitative Verification and Control via the
                         Mu-Calculus},
  editor =              {Amadio, Roberto and Lugiez, Denis},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'03)},
  acronym =             {{CONCUR}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2761},
  pages =               {102-126},
  year =                {2003},
  month =               aug,
}
[AAB00] Aurore Annichini, Eugene Asarin et Ahmed Bouajjani. Symbolic Techniques for Parametric Reasoning about Counter and Clock Systems. In CAV'00, Lecture Notes in Computer Science 1855, pages 419-434. Springer-Verlag, juillet 2000.
@inproceedings{cav2000-AAB,
  author =              {Annichini, Aurore and Asarin, Eugene and Bouajjani,
                         Ahmed},
  title =               {Symbolic Techniques for Parametric Reasoning about
                         Counter and Clock Systems},
  editor =              {Emerson, E. Allen and Sistla, A. Prasad},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'00)},
  acronym =             {{CAV}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1855},
  pages =               {419-434},
  year =                {2000},
  month =               jul,
}
[AAB23] Shaull Almagor, Daniel Assa et Udi Boker. Synchronized CTL over One-Counter Automata. In FSTTCS'23, Leibniz International Proceedings in Informatics 284, pages 19:1-19:22. Leibniz-Zentrum für Informatik, décembre 2023.
@inproceedings{fsttcs2023-AAB,
  author =              {Almagor, Shaull and Assa, Daniel and Boker, Udi},
  title =               {Synchronized {CTL} over One-Counter Automata},
  editor =              {Bouyer, Patricia and Srinivasan, Srikanth},
  booktitle =           {{P}roceedings of the 43rd {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'23)},
  acronym =             {{FSTTCS}'23},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {284},
  pages =               {19:1-19:22},
  year =                {2023},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2023.19},
}
[AAD+06] Dana Angluin, James Aspnes, Zoë Diamadi, Michael J. Fischer et René Peralta. Computation in Networks of Passively Mobile Finite-State Sensors. Distributed Computing 18(4):235-253. Springer-Verlag, mars 2006.
@article{discomp18(4)-AADFP,
  author =              {Angluin, Dana and Aspnes, James and Diamadi, Zo{\"e}
                         and Fischer, Michael J. and Peralta, Ren{\'e}},
  title =               {Computation in Networks of Passively Mobile
                         Finite-State Sensors},
  publisher =           {Springer-Verlag},
  journal =             {Distributed Computing},
  volume =              {18},
  number =              {4},
  pages =               {235-253},
  year =                {2006},
  month =               mar,
  doi =                 {10.1007/s00446-005-0138-3},
}
[AAE05] Baruch Awerbuch, Yossi Azar et Amir Epstein. The price of routing unsplittable flow. In STOC'05, pages 57-66. ACM Press, mai 2005.
@inproceedings{stoc2005-AAE,
  author =              {Awerbuch, Baruch and Azar, Yossi and Epstein, Amir},
  title =               {The price of routing unsplittable flow},
  editor =              {Gabow, Harold N. and Fagin, Ronald},
  booktitle =           {{P}roceedings of the 37th {A}nnual {ACM} {S}ymposium
                         on the {T}heory of {C}omputing ({STOC}'05)},
  acronym =             {{STOC}'05},
  publisher =           {ACM Press},
  pages =               {57-66},
  year =                {2005},
  month =               may,
  doi =                 {10.1145/1060590.1060599},
}
[AAE+07] Dana Angluin, James Aspnes, David Eisenstat et Eric Ruppert. The computational power of population protocols. Distributed Computing 20(4):279-304. Springer-Verlag, mars 2007.
@article{discomp20(4)-AAER,
  author =              {Angluin, Dana and Aspnes, James and Eisenstat, David
                         and Ruppert, Eric},
  title =               {The computational power of population protocols},
  publisher =           {Springer-Verlag},
  journal =             {Distributed Computing},
  volume =              {20},
  number =              {4},
  pages =               {279-304},
  year =                {2007},
  month =               mar,
  doi =                 {10.1007/s00446-007-0040-2},
}
[AAG+15] Manindra Agrawal, S. Akshay, Blaise Genest et P. S. Thiagarajan. Approximate Verification of the Symbolic Dynamics of Markov Chains. Journal of the ACM 62(1):183-235. ACM Press, février 2015.
@article{jacm62(1)-AAGT,
  author =              {Agrawal, Manindra and Akshay, S. and Genest, Blaise
                         and Thiagarajan, P. S.},
  title =               {Approximate Verification of the Symbolic Dynamics of
                         {M}arkov Chains},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {62},
  number =              {1},
  pages =               {183-235},
  year =                {2015},
  month =               feb,
  doi =                 {10.1145/2629417},
}
[AAM06] Yasmina Abdeddaïm, Eugene Asarin et Oded Maler. Scheduling with timed automata. Theoretical Computer Science 354(2):272-300. Elsevier, mars 2006.
@article{tcs354(2)-AAM,
  author =              {Abdedda{\"\i}m, Yasmina and Asarin, Eugene and
                         Maler, Oded},
  title =               {Scheduling with timed automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {354},
  number =              {2},
  pages =               {272-300},
  year =                {2006},
  month =               mar,
}
[AB01] Carlos Areces et Patrick Blackburn. Bringing them all Together. Journal of Logic and Computation 11(5):657-669. Oxford University Press, octobre 2001.
@article{jlc11(5)-AB,
  author =              {Areces, Carlos and Blackburn, Patrick},
  title =               {Bringing them all Together},
  publisher =           {Oxford University Press},
  journal =             {Journal of Logic and Computation},
  volume =              {11},
  number =              {5},
  pages =               {657-669},
  year =                {2001},
  month =               oct,
}
[AB01] Eugene Asarin et Ahmed Bouajjani. Perturbed Turing machines and hybrid systems. In LICS'01, pages 269-278. IEEE Comp. Soc. Press, juin 2001.
@inproceedings{lics2001-AB,
  author =              {Asarin, Eugene and Bouajjani, Ahmed},
  title =               {Perturbed {T}uring machines and hybrid systems},
  booktitle =           {{P}roceedings of the 16th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'01)},
  acronym =             {{LICS}'01},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {269-278},
  year =                {2001},
  month =               jun,
}
[AB09] Sanjeev Arora et Boaz Barak. Computational Complexity: A Modern Approach. Cambridge University Press, 2009.
@book{AB09-CCMA,
  author =              {Arora, Sanjeev and Barak, Boaz},
  title =               {Computational Complexity: A~Modern Approach},
  publisher =           {Cambridge University Press},
  year =                {2009},
}
[ABB+16] José Bacelar Almeida, Manuel Barbosa, Gilles Barthe, François Dupressoir et Michael Emmi. Verifying Constant-Time Implementations. In USENIX Security'16, pages 53-70. Usenix Association, août 2016.
@inproceedings{usenixsec2016-ABBDE,
  author =              {Almeida, Jos{\'e} Bacelar and Barbosa, Manuel and
                         Barthe, Gilles and Dupressoir, Fran{\c c}ois and
                         Emmi, Michael},
  title =               {Verifying Constant-Time Implementations},
  editor =              {Holz, Thorsten and Savage, Stefan},
  booktitle =           {{P}roceedings of the 25th {USENIX} {S}ecurity
                         {S}ymposium ({USENIX} {S}ecurity'16)},
  acronym =             {{USENIX} {S}ecurity'16},
  publisher =           {Usenix Association},
  pages =               {53-70},
  year =                {2016},
  month =               aug,
}
[ABB+03] Luca Aceto, Patricia Bouyer, Augusto Burgueño et Kim Guldstrand Larsen. The Power of Reachability Testing for Timed Automata. Theoretical Computer Science 300(1-3):411-475. Elsevier, mai 2003.
@article{tcs300(1-3)-ABBL,
  author =              {Aceto, Luca and Bouyer, Patricia and Burgue{\~n}o,
                         Augusto and Larsen, Kim Guldstrand},
  title =               {The~Power of Reachability Testing for Timed
                         Automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {300},
  number =              {1-3},
  pages =               {411-475},
  year =                {2003},
  month =               may,
  doi =                 {10.1016/S0304-3975(02)00334-1},
}
[ABD+17] Ernst Althaus, Björn Beber, Werner Damm, Stefan Disch, Willem Hagemann, Astrid Rakow, Christoph Scholl, Uwe Waldmann et Boris Wirtz. Verification of linear hybrid systems with large discrete state spaces using counterexample-guided abstraction refinement. Science of Computer Programming 148:123-160. Elsevier, novembre 2017.
@article{scp148()-ABDDHRSWW,
  author =              {Althaus, Ernst and Beber, Bj{\"o}rn and Damm, Werner
                         and Disch, Stefan and Hagemann, Willem and Rakow,
                         Astrid and Scholl, Christoph and Waldmann, Uwe and
                         Wirtz, Boris},
  title =               {Verification of linear hybrid systems with large
                         discrete state spaces using counterexample-guided
                         abstraction refinement},
  publisher =           {Elsevier},
  journal =             {Science of Computer Programming},
  volume =              {148},
  pages =               {123-160},
  year =                {2017},
  month =               nov,
  doi =                 {10.1016/j.scico.2017.04.010},
}
[ABE00] Parosh Aziz Abdulla, Per Bjesse et Niklas Eén. Symbolic Reachability Analysis based on SAT Solvers. In TACAS'00, Lecture Notes in Computer Science 1785, pages 411-425. Springer-Verlag, mars 2000.
@inproceedings{tacas2000-ABE,
  author =              {Abdulla, Parosh Aziz and Bjesse, Per and E{\'e}n,
                         Niklas},
  title =               {Symbolic Reachability Analysis based on {SAT}
                         Solvers},
  editor =              {Graf, Susanne and Schwartzbach, Michael I.},
  booktitle =           {{P}roceedings of the 6th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'00)},
  acronym =             {{TACAS}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1785},
  pages =               {411-425},
  year =                {2000},
  month =               mar,
}
[ABF94] Amihood Amir, Gary Benson et Martin Farach. Let Sleeping Files Lie: Pattern Matching in Z-Comporessed Files. In SODA'94, pages 705-714. ACM Press, janvier 1994.
@inproceedings{soda1994-ABF,
  author =              {Amir, Amihood and Benson, Gary and Farach, Martin},
  title =               {Let Sleeping Files Lie: Pattern Matching in
                         {Z}-Comporessed Files},
  booktitle =           {{P}roceedings of the 5th {A}nnual {ACM}-{SIAM}
                         {S}ymposium on {D}iscrete {A}lgorithms ({SODA}'94)},
  acronym =             {{SODA}'94},
  publisher =           {ACM Press},
  pages =               {705-714},
  year =                {1994},
  month =               jan,
}
[ABG15] C. Aiswarya, Benedikt Bollig et Paul Gastin. An automata-theoretic approach to the verification of distributed algorithms. In CONCUR'15, Leibniz International Proceedings in Informatics 42, pages 340-353. Leibniz-Zentrum für Informatik, septembre 2015.
@inproceedings{concur2015-ABG,
  author =              {Aiswarya, C. and Bollig, Benedikt and Gastin, Paul},
  title =               {An automata-theoretic approach to the verification
                         of distributed algorithms},
  editor =              {Aceto, Luca and de Frutos{-}Escrig, David},
  booktitle =           {{P}roceedings of the 26th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'15)},
  acronym =             {{CONCUR}'15},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {42},
  pages =               {340-353},
  year =                {2015},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CONCUR.2015.340},
}
[ABG+08] S. Akshay, Benedikt Bollig, Paul Gastin, Madhavan Mukund et K. Narayan Kumar. Distributed Timed Automata with Independently Evolving Clocks. In CONCUR'08, Lecture Notes in Computer Science 5201, pages 82-97. Springer-Verlag, août 2008.
@inproceedings{ABGMN-concur08,
  author =              {Akshay, S. and Bollig, Benedikt and Gastin, Paul and
                         Mukund, Madhavan and Narayan Kumar, K.},
  title =               {Distributed Timed Automata with Independently
                         Evolving Clocks},
  editor =              {van Breugel, Franck and Chechik, Marsha},
  booktitle =           {{P}roceedings of the 19th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'08)},
  acronym =             {{CONCUR}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5201},
  pages =               {82-97},
  year =                {2008},
  month =               aug,
}
[ABK13] Shaull Almagor, Udi Boker et Orna Kupferman. Formalizing and Reasoning about Quality. In ICALP'13, Lecture Notes in Computer Science 7966, pages 15-27. Springer-Verlag, juillet 2013.
@inproceedings{icalp2013-ABK,
  author =              {Almagor, Shaull and Boker, Udi and Kupferman, Orna},
  title =               {Formalizing and Reasoning about Quality},
  editor =              {Fomin, Fedor V. and Freivalds, Rusins and
                         Kwiatkowska, Marta and Peleg, David},
  booktitle =           {{P}roceedings of the 40th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'13)~-- Part~{II}},
  acronym =             {{ICALP}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7966},
  pages =               {15-27},
  year =                {2013},
  month =               jul,
}
[ABK14] Shaull Almagor, Udi Boker et Orna Kupferman. Discounting in LTL. In TACAS'14, Lecture Notes in Computer Science 8413, pages 424-439. Springer-Verlag, avril 2014.
@inproceedings{tacas2014-ABK,
  author =              {Almagor, Shaull and Boker, Udi and Kupferman, Orna},
  title =               {Discounting in~{LTL}},
  editor =              {{\'A}brah{\'a}m, Erikz and Havelund, Klaus},
  booktitle =           {{P}roceedings of the 20th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'14)},
  acronym =             {{TACAS}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8413},
  pages =               {424-439},
  year =                {2014},
  month =               apr,
  doi =                 {10.1007/978-3-642-54862-8_37},
}
[ABK16] Shaull Almagor, Udi Boker et Orna Kupferman. Formally Reasoning about Quality. Journal of the ACM 63(3):24:1-24:56. ACM Press, septembre 2016.
@article{jacm63(3)-ABK,
  author =              {Almagor, Shaull and Boker, Udi and Kupferman, Orna},
  title =               {Formally Reasoning about Quality},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {63},
  number =              {3},
  pages =               {24:1-24:56},
  year =                {2016},
  month =               sep,
  doi =                 {10.1145/2875421},
}
[ABK+97] Eugene Asarin, Marius Bozga, Alain Kerbrat, Oded Maler, Amir Pnueli et Anne Rasse. Data-Structures for the Verification of Timed Automata. In HART'97, Lecture Notes in Computer Science 1201, pages 346-360. Springer-Verlag, mars 1997.
@inproceedings{hart1997-ABKMPR,
  author =              {Asarin, Eugene and Bozga, Marius and Kerbrat, Alain
                         and Maler, Oded and Pnueli, Amir and Rasse, Anne},
  title =               {Data-Structures for the Verification of Timed
                         Automata},
  editor =              {Maler, Oded},
  booktitle =           {{P}roceedings of the 1997 {I}nternational {W}orkshop
                         on {H}ybrid and {R}eal-Time {S}ystems ({HART}'97)},
  acronym =             {{HART}'97},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1201},
  pages =               {346-360},
  year =                {1997},
  month =               mar,
}
[ABK+03] Roy Armoni, Doron Bustan, Orna Kupferman et Moshe Y. Vardi. Resets vs. Aborts in Linear Temporal Logic. In TACAS'03, Lecture Notes in Computer Science 2619, pages 65-80. Springer-Verlag, avril 2003.
@inproceedings{tacas2003-ABKV,
  author =              {Armoni, Roy and Bustan, Doron and Kupferman, Orna
                         and Vardi, Moshe Y.},
  title =               {Resets {vs.} Aborts in Linear Temporal Logic},
  editor =              {Garavel, Hubert and Hatcliff, John},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'03)},
  acronym =             {{TACAS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2619},
  pages =               {65-80},
  year =                {2003},
  month =               apr,
}
[ABM99] Carlos Areces, Patrick Blackburn et Maarten Marx. A Road-Map on Complexity for Hybrid Logics. In CSL'99, Lecture Notes in Computer Science 1862, pages 307-321. Springer-Verlag, septembre 1999.
@inproceedings{csl1999-ABM,
  author =              {Areces, Carlos and Blackburn, Patrick and Marx,
                         Maarten},
  title =               {A Road-Map on Complexity for Hybrid Logics},
  editor =              {Flum, J{\"o}rg and Rodr{\'\i}guez{-}Artalejo, Mario},
  booktitle =           {{P}roceedings of the 13th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'99)},
  acronym =             {{CSL}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1862},
  pages =               {307-321},
  year =                {1999},
  month =               sep,
}
[ABM00] Carlos Areces, Patrick Blackburn et Maarten Marx. The Computational Complexity of Hybrid Temporal Logics. Logic Journal of the IGPL 8(5):653-679. Oxford University Press, septembre 2000.
@article{jigpl8(5)-ABM,
  author =              {Areces, Carlos and Blackburn, Patrick and Marx,
                         Maarten},
  title =               {The Computational Complexity of Hybrid Temporal
                         Logics},
  publisher =           {Oxford University Press},
  journal =             {Logic Journal of the IGPL},
  volume =              {8},
  number =              {5},
  pages =               {653-679},
  year =                {2000},
  month =               sep,
}
[ABM04] Rajeev Alur, Mikhail Bernadsky et Parthasarathy Madhusudan. Optimal Reachability for Weighted Timed Games. In ICALP'04, Lecture Notes in Computer Science, pages 122-133. Springer-Verlag, 2004.
@inproceedings{icalp2004-ABM,
  author =              {Alur, Rajeev and Bernadsky, Mikhail and Madhusudan,
                         Parthasarathy},
  title =               {Optimal Reachability for Weighted Timed Games},
  booktitle =           {{P}roceedings of the 31st {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'04)},
  acronym =             {{ICALP}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  pages =               {122-133},
  year =                {2004},
}
[ABO97] Eric Allender, Robert Beals et Mitsunori Ogihara. The Complexity of Matrix Rank and Feasible Systems of Linear Equations. Technical Report 97-40, Rutgers University, New Jersey, USA, septembre 1997.
@techreport{TR-DIMACS9740,
  author =              {Allender, Eric and Beals, Robert and Ogihara,
                         Mitsunori},
  title =               {The Complexity of Matrix Rank and Feasible Systems
                         of Linear Equations},
  number =              {97-40},
  year =                {1997},
  month =               sep,
  institution =         {Rutgers University, New Jersey, USA},
}
[Abr79] Karl Abrahamson. Modal Logic of Concurrent Nondeterministic Programs. In SCC'79, Lecture Notes in Computer Science 70, pages 21-33. Springer-Verlag, juillet 1979.
@inproceedings{scc1979-Abr,
  author =              {Abrahamson, Karl},
  title =               {Modal Logic of Concurrent Nondeterministic Programs},
  editor =              {Kahn, Gilles},
  booktitle =           {{P}roceedings of the International Symposium
                         Semantics of Concurrent Computation ({SCC}'79)},
  acronym =             {{SCC}'79},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {70},
  pages =               {21-33},
  year =                {1979},
  month =               jul,
}
[AC02] Jean-Pierre Aubin et Francine Catté. Bilateral Fixed-point and Algebraic Properties of Viability Kernels and Capture Basins of Sets. Technical Report 02-10, CeReMaDe, Université Paris 9, Paris, France, avril 2002.
@techreport{TR-Ceremade0210,
  author =              {Aubin, Jean-Pierre and Catt{\'e}, Francine},
  title =               {Bilateral Fixed-point and Algebraic Properties of
                         Viability Kernels and Capture Basins of Sets},
  number =              {02-10},
  year =                {2002},
  month =               apr,
  institution =         {CeReMaDe, Universit\'e Paris 9, Paris, France},
}
[ACD93] Rajeev Alur, Costas Courcoubetis et David L. Dill. Model-Checking in Dense Real-Time. Information and Computation 104(1):2-34. Academic Press, mai 1993.
@article{icomp104(1)-ACD,
  author =              {Alur, Rajeev and Courcoubetis, Costas and Dill,
                         David L.},
  title =               {Model-Checking in Dense Real-Time},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {104},
  number =              {1},
  pages =               {2-34},
  year =                {1993},
  month =               may,
}
[ACD+92] Rajeev Alur, Costas Courcoubetis, David L. Dill, Nicolas Halbwachs et Howard Wong-Toi. An Implementation of three algorithms for timing verification based on automata emptiness. In RTSS'92, pages 157-166. IEEE Comp. Soc. Press, décembre 1992.
@inproceedings{rts1992-ACDHW,
  author =              {Alur, Rajeev and Courcoubetis, Costas and Dill,
                         David L. and Halbwachs, Nicolas and Wong{-}Toi,
                         Howard},
  title =               {An Implementation of three algorithms for timing
                         verification based on automata emptiness},
  booktitle =           {{P}roceedings of the 13th {S}ymposium on {R}eal-Time
                         {S}ystems ({RTSS}'92)},
  acronym =             {{RTSS}'92},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {157-166},
  year =                {1992},
  month =               dec,
}
[ACH94] Rajeev Alur, Costas Courcoubetis et Thomas A. Henzinger. The Observational Power of Clocks. In CONCUR'94, Lecture Notes in Computer Science 836, pages 162-177. Springer-Verlag, août 1994.
@inproceedings{concur1994-ACH,
  author =              {Alur, Rajeev and Courcoubetis, Costas and Henzinger,
                         Thomas A.},
  title =               {The Observational Power of Clocks},
  editor =              {Jonsson, Bengt and Parrow, Joachim},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'94)},
  acronym =             {{CONCUR}'94},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {836},
  pages =               {162-177},
  year =                {1994},
  month =               aug,
}
[ACH97] Rajeev Alur, Costas Courcoubetis et Thomas A. Henzinger. Computing Accumulated Delays in Real Time Systems. Formal Methods in System Design 11(2):137-155. Kluwer Academic, août 1997.
@article{fmsd11(2)-ACH,
  author =              {Alur, Rajeev and Courcoubetis, Costas and Henzinger,
                         Thomas A.},
  title =               {Computing Accumulated Delays in Real Time Systems},
  publisher =           {Kluwer Academic},
  journal =             {Formal Methods in System Design},
  volume =              {11},
  number =              {2},
  pages =               {137-155},
  year =                {1997},
  month =               aug,
}
[ACH+93] Rajeev Alur, Costas Courcoubetis, Thomas A. Henzinger et Pei-Hsin Ho. Hybrid Automata: An Algorithmic Approach to the Specification and Verification of Hybrid Systems. In HSCC'92, Lecture Notes in Computer Science 736, pages 209-229. Springer-Verlag, 1993.
@inproceedings{hscc1992-ACHH,
  author =              {Alur, Rajeev and Courcoubetis, Costas and Henzinger,
                         Thomas A. and Ho, Pei-Hsin},
  title =               {Hybrid Automata: An Algorithmic Approach to the
                         Specification and Verification of Hybrid Systems},
  editor =              {Grossman, Robert L. and Nerode, Anil and Ravn,
                         Anders P. and Rischel, Hans},
  booktitle =           {{H}ybrid {S}ystems ({HSCC}'92)},
  acronym =             {{HSCC}'92},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {736},
  pages =               {209-229},
  year =                {1993},
}
[ACH+95] Rajeev Alur, Costas Courcoubetis, Nicolas Halbwachs, Thomas A. Henzinger, Pei-Hsin Ho, Xavier Nicollin, Alfredo Olivero, Joseph Sifakis et Sergio Yovine. The Algorithmic Analysis of Hybrid Systems. Theoretical Computer Science 138(1):3-34. Elsevier, 1995.
@article{tcs138(1)-ACHHHNOSY,
  author =              {Alur, Rajeev and Courcoubetis, Costas and Halbwachs,
                         Nicolas and Henzinger, Thomas A. and Ho, Pei-Hsin
                         and Nicollin, Xavier and Olivero, Alfredo and
                         Sifakis, Joseph and Yovine, Sergio},
  title =               {The Algorithmic Analysis of Hybrid Systems},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {138},
  number =              {1},
  pages =               {3-34},
  year =                {1995},
}
[ACJ+96] Parosh Aziz Abdulla, Kārlis Čerāns, Bengt Jonsson et Yih-Kuen Tsay. General Decidability Theorems for Infinite-State Systems. In LICS'96, pages 313-321. IEEE Comp. Soc. Press, juillet 1996.
@inproceedings{lics1996-ACJT,
  author =              {Abdulla, Parosh Aziz and {\v{C}}er{\={a}}ns,
                         K{\={a}}rlis and Jonsson, Bengt and Tsay, Yih-Kuen},
  title =               {General Decidability Theorems for Infinite-State
                         Systems},
  booktitle =           {{P}roceedings of the 11th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'96)},
  acronym =             {{LICS}'96},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {313-321},
  year =                {1996},
  month =               jul,
}
[ACM97] Eugene Asarin, Paul Caspi et Oded Maler. A Kleene Theorem for Timed Automata. In LICS'97, pages 160-171. IEEE Comp. Soc. Press, juin 1997.
@inproceedings{lics1997-ACM,
  author =              {Asarin, Eugene and Caspi, Paul and Maler, Oded},
  title =               {A {K}leene Theorem for Timed Automata},
  booktitle =           {{P}roceedings of the 12th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'97)},
  acronym =             {{LICS}'97},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {160-171},
  year =                {1997},
  month =               jun,
}
[ACS10] Tesnim Abdellatif, Jacques Combaz et Joseph Sifakis. Model-based implementation of real-time applications. In EMSOFT'10, pages 229-238. ACM Press, octobre 2010.
@inproceedings{emsoft2010-ACS,
  author =              {Abdellatif, Tesnim and Combaz, Jacques and Sifakis,
                         Joseph},
  title =               {Model-based implementation of real-time
                         applications},
  editor =              {Carloni, Luca P. and Tripakis, Stavros},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {E}mbedded {S}oftware ({EMSOFT}'10)},
  acronym =             {{EMSOFT}'10},
  publisher =           {ACM Press},
  pages =               {229-238},
  year =                {2010},
  month =               oct,
}
[ACZ+20] Jie An, Mingshuai Chen, Bohua Zhan, Naijun Zhan et Miaomiao Zhang. Learning One-Clock Timed Automata. In TACAS'20 (Part I), Lecture Notes in Computer Science 12078, pages 444-462. Springer-Verlag, avril 2020.
@inproceedings{tacas2020-ACZZZ,
  author =              {An, Jie and Chen, Mingshuai and Zhan, Bohua and
                         Zhan, Naijun and Zhang, Miaomiao},
  title =               {Learning One-Clock Timed Automata},
  editor =              {Biere, Armin and Parker, David},
  booktitle =           {{P}roceedings of the 26th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'20)~-- {P}art~{I}},
  acronym =             {{TACAS}'20 (Part~{I})},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {12078},
  pages =               {444-462},
  year =                {2020},
  month =               apr,
  doi =                 {10.1007/978-3-030-45190-5_25},
}
[AD89] André Arnold et Anne Dicky. An Algebraic Characterization of Transition System Equivalences. Information and Computation 82(2):198-229. Academic Press, août 1989.
@article{icomp82(2)-AD,
  author =              {Arnold, Andr{\'e} and Dicky, Anne},
  title =               {An Algebraic Characterization of Transition System
                         Equivalences},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {82},
  number =              {2},
  pages =               {198-229},
  year =                {1989},
  month =               aug,
}
[AD90] Rajeev Alur et David L. Dill. Automata For Modeling Real-Time Systems. In ICALP'90, Lecture Notes in Computer Science 443, pages 322-335. Springer-Verlag, juillet 1990.
@inproceedings{icalp1990-AD,
  author =              {Alur, Rajeev and Dill, David L.},
  title =               {Automata For Modeling Real-Time Systems},
  editor =              {Paterson, Mike},
  booktitle =           {{P}roceedings of the 17th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'90)},
  acronym =             {{ICALP}'90},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {443},
  pages =               {322-335},
  year =                {1990},
  month =               jul,
}
[AD94] Rajeev Alur et David L. Dill. A Theory of Timed Automata. Theoretical Computer Science 126(2):183-235. Elsevier, avril 1994.
@article{tcs126(2)-AD,
  author =              {Alur, Rajeev and Dill, David L.},
  title =               {A Theory of Timed Automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {126},
  number =              {2},
  pages =               {183-235},
  year =                {1994},
  month =               apr,
}
[AD09] Timos Antonopoulos et Anuj Dawar. Separating Graph Logic from MSO. In FoSSaCS'09, Lecture Notes in Computer Science 5504, pages 63-77. Springer-Verlag, mars 2009.
@inproceedings{fossacs2009-AD,
  author =              {Antonopoulos, Timos and Dawar, Anuj},
  title =               {Separating Graph Logic from~{MSO}},
  editor =              {de Alfaro, Luca},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'09)},
  acronym =             {{FoSSaCS}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5504},
  pages =               {63-77},
  year =                {2009},
  month =               mar,
}
[ADK+04] Elliot Anshelevich, Anirban Dasgupta, Jon Kleinberg, Éva Tardos, Tom Wexler et Tim Roughgarden. The Price of Stability for Network Design with Fair Cost Allocation. In FOCS'04, pages 295-304. IEEE Comp. Soc. Press, octobre 2004.
@inproceedings{focs2004-ADKTWR,
  author =              {Anshelevich, Elliot and Dasgupta, Anirban and
                         Kleinberg, Jon and Tardos, {\'E}va and Wexler, Tom
                         and Roughgarden, Tim},
  title =               {The Price of Stability for Network Design with Fair
                         Cost Allocation},
  booktitle =           {{P}roceedings of the 45th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'04)},
  acronym =             {{FOCS}'04},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {295-304},
  year =                {2004},
  month =               oct,
  doi =                 {10.1109/FOCS.2004.68},
}
[ADK+08] Elliot Anshelevich, Anirban Dasgupta, Jon Kleinberg, Éva Tardos, Tom Wexler et Tim Roughgarden. The Price of Stability for Network Design with Fair Cost Allocation. SIAM Journal on Computing 38(4):1602-1623. Society for Industrial and Applied Math., 2008.
@article{siamcomp38(4)-ADKTWR,
  author =              {Anshelevich, Elliot and Dasgupta, Anirban and
                         Kleinberg, Jon and Tardos, {\'E}va and Wexler, Tom
                         and Roughgarden, Tim},
  title =               {The~Price of Stability for Network Design with Fair
                         Cost Allocation},
  publisher =           {Society for Industrial and Applied Math.},
  journal =             {SIAM Journal on Computing},
  volume =              {38},
  number =              {4},
  pages =               {1602-1623},
  year =                {2008},
  doi =                 {10.1137/070680096},
}
[ADM04] Parosh Aziz Abdulla, Johann Deneux et Pritha Mahata. Multi-clock timed networks. In LICS'04, pages 345-354. IEEE Comp. Soc. Press, juillet 2004.
@inproceedings{lics2004-ADM,
  author =              {Abdulla, Parosh Aziz and Deneux, Johann and Mahata,
                         Pritha},
  title =               {Multi-clock timed networks},
  booktitle =           {{P}roceedings of the 19th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'04)},
  acronym =             {{LICS}'04},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {345-354},
  year =                {2004},
  month =               jul,
  doi =                 {10.1109/LICS.2004.1319629},
}
[ADM+09] Rajeev Alur, Aldric Degorre, Oded Maler et Gera Weiss. On Omega-Languages Defined by Mean-Payoff Conditions. In FoSSaCS'09, Lecture Notes in Computer Science 5504. Springer-Verlag, mars 2009.
@inproceedings{fossacs2009-ADMW,
  author =              {Alur, Rajeev and Degorre, Aldric and Maler, Oded and
                         Weiss, Gera},
  title =               {On Omega-Languages Defined by Mean-Payoff
                         Conditions},
  editor =              {de Alfaro, Luca},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'09)},
  acronym =             {{FoSSaCS}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5504},
  year =                {2009},
  month =               mar,
  doi =                 {10.1007/978-3-642-00596-1_24},
}
[ADO+05] Parosh Aziz Abdulla, Johann Deneux, Joël Ouaknine et James Worrell. Decidability and Complexity Results for Timed Automata via Channel Machines. In ICALP'05, Lecture Notes in Computer Science 3580, pages 1089-1101. Springer-Verlag, juillet 2005.
@inproceedings{icalp2005-ADOW,
  author =              {Abdulla, Parosh Aziz and Deneux, Johann and
                         Ouaknine, Jo{\"e}l and Worrell, James},
  title =               {Decidability and Complexity Results for Timed
                         Automata via Channel Machines},
  editor =              {Caires, Lu{\'\i}s and Italiano, Giuseppe F. and
                         Monteiro, Lu{\'\i}s and Palamidessi, Catuscia and
                         Yung, Moti},
  booktitle =           {{P}roceedings of the 32nd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'05)},
  acronym =             {{ICALP}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3580},
  pages =               {1089-1101},
  year =                {2005},
  month =               jul,
}
[AEL+01] Rajeev Alur, Kousha Etessami, Salvatore La Torre et Doron A. Peled. Parametric Temporal Logic for "Model Measuring". ACM Transactions on Computational Logic 2(3):388-407. ACM Press, juillet 2001.
@article{tocl2(3)-AELP,
  author =              {Alur, Rajeev and Etessami, Kousha and La{~}Torre,
                         Salvatore and Peled, Doron A.},
  title =               {Parametric Temporal Logic for {"}Model Measuring{"}},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {2},
  number =              {3},
  pages =               {388-407},
  year =                {2001},
  month =               jul,
}
[AFF+02] Roy Armoni, Limor Fix, Alon Flaisher, Rob Gerth, Boris Ginsburg, Tomer Kanza, Avner Landver, Sela Mador-Haim, Eli Singerman, Andreas Tiemeyer, Moshe Y. Vardi et Yael Zbar. The ForSpec Temporal Logic: A New Temporal Property-Specification Language. In TACAS'02, Lecture Notes in Computer Science 2280, pages 296-311. Springer-Verlag, avril 2002.
@inproceedings{tacas2002-AFFGGKLMSTVZ,
  author =              {Armoni, Roy and Fix, Limor and Flaisher, Alon and
                         Gerth, Rob and Ginsburg, Boris and Kanza, Tomer and
                         Landver, Avner and Mador{-}Haim, Sela and Singerman,
                         Eli and Tiemeyer, Andreas and Vardi, Moshe Y. and
                         Zbar, Yael},
  title =               {The {ForSpec} Temporal Logic: A New Temporal
                         Property-Specification Language},
  editor =              {Katoen, Joost-Pieter and Stevens, Perdita},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'02)},
  acronym =             {{TACAS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2280},
  pages =               {296-311},
  year =                {2002},
  month =               apr,
}
[AFF+03] Roy Armoni, Limor Fix, Alon Flaisher, Orna Grumberg, Nir Piterman, Andreas Tiemeyer et Moshe Y. Vardi. Enhanced Vacuity Detection in Linear Temporal Logic. In CAV'03, Lecture Notes in Computer Science 2725, pages 368-380. Springer-Verlag, juillet 2003.
@inproceedings{cav2003-AFFGPTV,
  author =              {Armoni, Roy and Fix, Limor and Flaisher, Alon and
                         Grumberg, Orna and Piterman, Nir and Tiemeyer,
                         Andreas and Vardi, Moshe Y.},
  title =               {Enhanced Vacuity Detection in Linear Temporal Logic},
  editor =              {Hunt, Jr, Warren A. and Somenzi, Fabio},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'03)},
  acronym =             {{CAV}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2725},
  pages =               {368-380},
  year =                {2003},
  month =               jul,
  doi =                 {10.1007/978-3-540-45069-6_35},
}
[AFH91] Rajeev Alur, Tómas Feder et Thomas A. Henzinger. The Benefits of Relaxing Punctuality. In PODC'91, pages 139-152. ACM Press, août 1991.
@inproceedings{podc1991-AFH,
  author =              {Alur, Rajeev and Feder, T{\'o}mas and Henzinger,
                         Thomas A.},
  title =               {The Benefits of Relaxing Punctuality},
  booktitle =           {{P}roceedings of the 10th {ACM} {S}ymposium on
                         {P}rinciples of {D}istributed {C}omputing
                         ({PODC}'91)},
  acronym =             {{PODC}'91},
  publisher =           {ACM Press},
  pages =               {139-152},
  year =                {1991},
  month =               aug,
}
[AFH94] Rajeev Alur, Limor Fix et Thomas A. Henzinger. Event-Clock Automata: A Determinizable Class of Timed Automata. In CAV'94, Lecture Notes in Computer Science 818, pages 1-13. Springer-Verlag, juin 1994.
@inproceedings{cav1994-AFH,
  author =              {Alur, Rajeev and Fix, Limor and Henzinger, Thomas
                         A.},
  title =               {Event-Clock Automata: A Determinizable Class of
                         Timed Automata},
  editor =              {Dill, David L.},
  booktitle =           {{P}roceedings of the 6th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'94)},
  acronym =             {{CAV}'94},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {818},
  pages =               {1-13},
  year =                {1994},
  month =               jun,
}
[AFH96] Rajeev Alur, Tómas Feder et Thomas A. Henzinger. The Benefits of Relaxing Punctuality. Journal of the ACM 43(1):116-146. ACM Press, janvier 1996.
@article{jacm43(1)-AFH,
  author =              {Alur, Rajeev and Feder, T{\'o}mas and Henzinger,
                         Thomas A.},
  title =               {The Benefits of Relaxing Punctuality},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {43},
  number =              {1},
  pages =               {116-146},
  year =                {1996},
  month =               jan,
}
[AFH99] Rajeev Alur, Limor Fix et Thomas A. Henzinger. Event-Clock Automata: A Determinizable Class of Timed Automata. Theoretical Computer Science 211(1-2):253-273. Elsevier, janvier 1999.
@article{tcs211(1-2)-AFH,
  author =              {Alur, Rajeev and Fix, Limor and Henzinger, Thomas
                         A.},
  title =               {Event-Clock Automata: A Determinizable Class of
                         Timed Automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {211},
  number =              {1-2},
  pages =               {253-273},
  year =                {1999},
  month =               jan,
  doi =                 {10.1016/S0304-3975(97)00173-4},
}
[dAF+03] Luca de Alfaro, Marco Faella, Thomas A. Henzinger, Rupak Majumdar et Mariëlle Stoelinga. The Element of Surprise in Timed Games. In CONCUR'03, Lecture Notes in Computer Science 2761, pages 142-156. Springer-Verlag, août 2003.
@inproceedings{concur2003-AFHMS,
  author =              {de Alfaro, Luca and Faella, Marco and Henzinger,
                         Thomas A. and Majumdar, Rupak and Stoelinga,
                         Mari{\"e}lle},
  title =               {The Element of Surprise in Timed Games},
  editor =              {Amadio, Roberto and Lugiez, Denis},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'03)},
  acronym =             {{CONCUR}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2761},
  pages =               {142-156},
  year =                {2003},
  month =               aug,
}
[dAF+05] Luca de Alfaro, Marco Faella, Thomas A. Henzinger, Rupak Majumdar et Mariëlle Stoelinga. Model checking discounted temporal properties. Theoretical Computer Science 345(1):139-170. Elsevier, novembre 2005.
@article{tcs345(1)-AFHMS,
  author =              {de Alfaro, Luca and Faella, Marco and Henzinger,
                         Thomas A. and Majumdar, Rupak and Stoelinga,
                         Mari{\"e}lle},
  title =               {Model checking discounted temporal properties},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {345},
  number =              {1},
  pages =               {139-170},
  year =                {2005},
  month =               nov,
}
[AFM+02] Tobias Amnell, Elena Fersman, Leonid Mokrushin, Paul Pettersson et Wang Yi. TIMES – A Tool for Modelling and Implementation of Embedded Systems. In TACAS'02, Lecture Notes in Computer Science 2280, pages 460-464. Springer-Verlag, avril 2002.
@inproceedings{tacas2002-AFMPY,
  author =              {Amnell, Tobias and Fersman, Elena and Mokrushin,
                         Leonid and Pettersson, Paul and Yi, Wang},
  title =               {TIMES~-- A~Tool for Modelling and Implementation of
                         Embedded Systems},
  editor =              {Katoen, Joost-Pieter and Stevens, Perdita},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'02)},
  acronym =             {{TACAS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2280},
  pages =               {460-464},
  year =                {2002},
  month =               apr,
}
[AG00] Carme Àlvarez et Raymond Greenlaw. A Compendium of Problems Complete for Symmetric Logarithmic Space. Computational Complexity 9(2):123-145. Birkhäuser, 2000.
@article{cc9(2)-AG,
  author =              {{\`A}lvarez, Carme and Greenlaw, Raymond},
  title =               {A Compendium of Problems Complete for Symmetric
                         Logarithmic Space},
  publisher =           {Birkh{\"a}user},
  journal =             {Computational Complexity},
  volume =              {9},
  number =              {2},
  pages =               {123-145},
  year =                {2000},
}
[AG11] Krzysztof Apt et Erich Grädel. Lectures in Game Theory for Computer Scientists. Cambridge University Press, 2011.
@book{AG-gt4cs11,
  author =              {Apt, Krzysztof and Gr{\"a}del, Erich},
  title =               {Lectures in Game Theory for Computer Scientists},
  publisher =           {Cambridge University Press},
  year =                {2011},
}
[AGG08] Xavier Allamigeon, Stéphane Gaubert et Éric Goubault. Inferring Min and Max Invariants Using Max-Plus Polyhedra. In SAS'08, Lecture Notes in Computer Science 5079, pages 189-204. Springer-Verlag, juillet 2008.
@inproceedings{sas2008-AGG,
  author =              {Allamigeon, Xavier and Gaubert, St{\'e}phane and
                         Goubault, {\'E}ric},
  title =               {Inferring Min and Max Invariants Using Max-Plus
                         Polyhedra},
  editor =              {Alpuente, Mar{\'\i}a and Vidal, Germ{\'a}n},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {S}ymposium on {S}tatic {A}nalysis ({SAS}'08)},
  acronym =             {{SAS}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5079},
  pages =               {189-204},
  year =                {2008},
  month =               jul,
}
[AGJ07] Thomas Ågotnes, Valentin Goranko et Wojciech Jamroga. Alternating-time Temporal Logics with Irrevocable Strategies. In TARK'07, pages 15-24. Juin 2007.
@inproceedings{tark2007-AGJ,
  author =              {{\AA}gotnes, Thomas and Goranko, Valentin and
                         Jamroga, Wojciech},
  title =               {Alternating-time Temporal Logics with Irrevocable
                         Strategies},
  editor =              {Samet, Dov},
  booktitle =           {{P}roceedings of the 11th {C}onference on
                         {T}heoretical {A}spects of {R}ationality and
                         {K}nowledge ({TARK}'07)},
  acronym =             {{TARK}'07},
  pages =               {15-24},
  year =                {2007},
  month =               jun,
}
[AGJ08] Thomas Ågotnes, Valentin Goranko et Wojciech Jamroga. Strategic Commitment and Release in Logics for Multi-Agent Systems (Extended abstract). Technical Report 08-01, Clausthal University of Technology, Germany, 2008.
@techreport{clausthal0801-AGJ,
  author =              {{\AA}gotnes, Thomas and Goranko, Valentin and
                         Jamroga, Wojciech},
  title =               {Strategic Commitment and Release in Logics for
                         Multi-Agent Systems (Extended abstract)},
  number =              {08-01},
  year =                {2008},
  institution =         {Clausthal University of Technology, Germany},
}
[AGK16] S. Akshay, Paul Gastin et Shankara Narayanan Krishna. Analyzing Timed Systems Using Tree Automata. In CONCUR'16, Leibniz International Proceedings in Informatics 59, pages 27:1-27:14. Leibniz-Zentrum für Informatik, août 2016.
@inproceedings{concur2016-AGK,
  author =              {Akshay, S. and Gastin, Paul and Krishna, Shankara
                         Narayanan},
  title =               {Analyzing Timed Systems Using Tree Automata},
  editor =              {Desharnais, Jules and Jagadeesan, Radha},
  booktitle =           {{P}roceedings of the 27th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'16)},
  acronym =             {{CONCUR}'16},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {59},
  pages =               {27:1-27:14},
  year =                {2016},
  month =               aug,
  doi =                 {10.4230/LIPIcs.CONCUR.2016.27},
}
[AGK17] Guy Avni, Shibashis Guha et Orna Kupferman. Timed Network Games. In MFCS'17, Leibniz International Proceedings in Informatics 84, pages 37:1-37:16. Leibniz-Zentrum für Informatik, août 2017.
@inproceedings{mfcs2017-AGK,
  author =              {Avni, Guy and Guha, Shibashis and Kupferman, Orna},
  title =               {Timed Network Games},
  editor =              {Larsen, Kim Guldstrand and Bodlaender, Hans L. and
                         Raskin, Jean-Fran{\c c}ois},
  booktitle =           {{P}roceedings of the 42nd {I}nternational
                         {S}ymposium on {M}athematical {F}oundations of
                         {C}omputer {S}cience ({MFCS}'17)},
  acronym =             {{MFCS}'17},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {84},
  pages =               {37:1-37:16},
  year =                {2017},
  month =               aug,
  doi =                 {10.4230/LIPIcs.MFCS.2017.37},
}
[AGK18] Guy Avni, Shibashis Guha et Orna Kupferman. Timed Network Games with Clocks. In MFCS'18, Leibniz International Proceedings in Informatics 117, pages 23:1-23:18. Leibniz-Zentrum für Informatik, août 2018.
@inproceedings{mfcs2018-AGK,
  author =              {Avni, Guy and Guha, Shibashis and Kupferman, Orna},
  title =               {Timed Network Games with Clocks},
  editor =              {Potapov, Igor and Spirakis, Paul G. and Worrell,
                         James},
  booktitle =           {{P}roceedings of the 43rd {I}nternational
                         {S}ymposium on {M}athematical {F}oundations of
                         {C}omputer {S}cience ({MFCS}'18)},
  acronym =             {{MFCS}'18},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {117},
  pages =               {23:1-23:18},
  year =                {2018},
  month =               aug,
  doi =                 {10.4230/LIPIcs.MFCS.2018.23},
}
[AGK+17] S. Akshay, Paul Gastin, Shankara Narayanan Krishna et Ilias Sarkar. Towards an Efficient Tree Automata Based Technique for Timed Systems. In CONCUR'17, Leibniz International Proceedings in Informatics 85, pages 39:1-39:15. Leibniz-Zentrum für Informatik, septembre 2017.
@inproceedings{concur2017-AGKS,
  author =              {Akshay, S. and Gastin, Paul and Krishna, Shankara
                         Narayanan and Sarkar, Ilias},
  title =               {Towards an Efficient Tree Automata Based Technique
                         for Timed Systems},
  editor =              {Meyer, Roland and Nestmann, Uwe},
  booktitle =           {{P}roceedings of the 28th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'17)},
  acronym =             {{CONCUR}'17},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {85},
  pages =               {39:1-39:15},
  year =                {2017},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CONCUR.2017.39},
}
[AGP+99] Karine Altisen, Gregor Gößler, Amir Pnueli, Joseph Sifakis, Stavros Tripakis et Sergio Yovine. A Framework for Scheduler Synthesis. In RTSS'99, pages 154-163. IEEE Comp. Soc. Press, décembre 1999.
@inproceedings{rts1999-AGPSTY,
  author =              {Altisen, Karine and G{\"o}{\ss}ler, Gregor and
                         Pnueli, Amir and Sifakis, Joseph and Tripakis,
                         Stavros and Yovine, Sergio},
  title =               {A Framework for Scheduler Synthesis},
  booktitle =           {{P}roceedings of the 20th {S}ymposium on {R}eal-Time
                         {S}ystems ({RTSS}'99)},
  acronym =             {{RTSS}'99},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {154-163},
  year =                {1999},
  month =               dec,
}
[AGS00] Karine Altisen, Gregor Gößler et Joseph Sifakis. A Methodology for the Construction of Scheduled Systems. In FTRTFT'00, Lecture Notes in Computer Science 1926, pages 106-120. Springer-Verlag, septembre 2000.
@inproceedings{ftrtft2000-AGS,
  author =              {Altisen, Karine and G{\"o}{\ss}ler, Gregor and
                         Sifakis, Joseph},
  title =               {A Methodology for the Construction of Scheduled
                         Systems},
  editor =              {Joseph, Mathai},
  booktitle =           {{P}roceedings of the 6th {F}ormal {T}echniques in
                         {R}eal-Time and {F}ault-Tolerant {S}ystems
                         ({FTRTFT}'00)},
  acronym =             {{FTRTFT}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1926},
  pages =               {106-120},
  year =                {2000},
  month =               sep,
}
[AH89] Rajeev Alur et Thomas A. Henzinger. A Really Temporal Logic. In FOCS'89, pages 164-169. IEEE Comp. Soc. Press, octobre 1989.
@inproceedings{focs1989-AH,
  author =              {Alur, Rajeev and Henzinger, Thomas A.},
  title =               {A Really Temporal Logic},
  booktitle =           {{P}roceedings of the 30th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'89)},
  acronym =             {{FOCS}'89},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {164-169},
  year =                {1989},
  month =               oct,
}
[AH92] Rajeev Alur et Thomas A. Henzinger. Logics and Models of Real Time: A Survey. In REX'91, Lecture Notes in Computer Science 600, pages 74-106. Springer-Verlag, 1992.
@inproceedings{rex1991-AH,
  author =              {Alur, Rajeev and Henzinger, Thomas A.},
  title =               {Logics and Models of Real Time: A~Survey},
  editor =              {de~Bakker, Jaco W. and Huizing, Cornelis and de
                         Roever, Willem-Paul and Rozenberg, Grzegorz},
  booktitle =           {{R}eal-{T}ime: {T}heory in {P}ractice, {P}roceedings
                         of {REX} {W}orkshop~1991 ({REX}'91)},
  acronym =             {{REX}'91},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {600},
  pages =               {74-106},
  year =                {1992},
  confyear =            {1991},
  confmonth =           {6},
}
[AH92] Rajeev Alur et Thomas A. Henzinger. Back to the Future: Towards a Theory of Timed Regular Languages. In FOCS'92, pages 177-186. IEEE Comp. Soc. Press, octobre 1992.
@inproceedings{focs1992-AH,
  author =              {Alur, Rajeev and Henzinger, Thomas A.},
  title =               {Back to the Future: Towards a Theory of Timed
                         Regular Languages},
  booktitle =           {{P}roceedings of the 33rd {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'92)},
  acronym =             {{FOCS}'92},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {177-186},
  year =                {1992},
  month =               oct,
}
[AH93] Rajeev Alur et Thomas A. Henzinger. Real-time Logics: Complexity and Expressiveness. Information and Computation 104(1):35-77. Academic Press, mai 1993.
@article{icomp104(1)-AH,
  author =              {Alur, Rajeev and Henzinger, Thomas A.},
  title =               {Real-time Logics: Complexity and Expressiveness},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {104},
  number =              {1},
  pages =               {35-77},
  year =                {1993},
  month =               may,
}
[AH94] Rajeev Alur et Thomas A. Henzinger. A Really Temporal Logic. Journal of the ACM 41(1):181-203. ACM Press, janvier 1994.
@article{jacm41(1)-AH,
  author =              {Alur, Rajeev and Henzinger, Thomas A.},
  title =               {A Really Temporal Logic},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {41},
  number =              {1},
  pages =               {181-203},
  year =                {1994},
  month =               jan,
}
[dAH00] Luca de Alfaro et Thomas A. Henzinger. Concurrent Omera-Regular Games. In LICS'00, pages 141-154. IEEE Comp. Soc. Press, juin 2000.
@inproceedings{lics2000-AH,
  author =              {de Alfaro, Luca and Henzinger, Thomas A.},
  title =               {Concurrent Omera-Regular Games},
  booktitle =           {{P}roceedings of the 15th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'00)},
  acronym =             {{LICS}'00},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {141-154},
  year =                {2000},
  month =               jun,
  doi =                 {10.1109/LICS.2000.855763},
}
[dAH01] Luca de Alfaro et Thomas A. Henzinger. Interface automata. In FSE'01, pages 109-120. ACM Press, septembre 2001.
@inproceedings{fse2001-AH,
  author =              {de Alfaro, Luca and Henzinger, Thomas A.},
  title =               {Interface automata},
  booktitle =           {{P}roceedings of the 9th {A}nnual {S}ymposium on
                         {F}oundations of {S}oftware {E}ngineering
                         ({FSE}'01)},
  acronym =             {{FSE}'01},
  publisher =           {ACM Press},
  pages =               {109-120},
  year =                {2001},
  month =               sep,
}
[AH02] Henrik Reif Andersen et Henrik Hulgaard. Boolean Expression Diagrams. Information and Computation 179(2):194-212. Academic Press, décembre 2002.
@article{icomp179(2)-AH,
  author =              {Andersen, Henrik Reif and Hulgaard, Henrik},
  title =               {Boolean Expression Diagrams},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {179},
  number =              {2},
  pages =               {194-212},
  year =                {2002},
  month =               dec,
  doi =                 {10.1006/inco.2001.2948},
}
[AHH96] Rajeev Alur, Thomas A. Henzinger et Pei-Hsin Ho. Automatic Symbolic Verification of Embedded Systems. IEEE Transactions on Software Engineering 22(3):181-201. IEEE Comp. Soc. Press, mars 1996.
@article{tse22(3)-AHH,
  author =              {Alur, Rajeev and Henzinger, Thomas A. and Ho,
                         Pei-Hsin},
  title =               {Automatic Symbolic Verification of Embedded Systems},
  publisher =           {IEEE Comp. Soc. Press},
  journal =             {IEEE Transactions on Software Engineering},
  volume =              {22},
  number =              {3},
  pages =               {181-201},
  year =                {1996},
  month =               mar,
}
[AHK97] Rajeev Alur, Thomas A. Henzinger et Orna Kupferman. Alternating-time Temporal Logic. In FOCS'97, pages 100-109. IEEE Comp. Soc. Press, octobre 1997.
@inproceedings{focs1997-AHK,
  author =              {Alur, Rajeev and Henzinger, Thomas A. and Kupferman,
                         Orna},
  title =               {Alternating-time Temporal Logic},
  booktitle =           {{P}roceedings of the 38th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'97)},
  acronym =             {{FOCS}'97},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {100-109},
  year =                {1997},
  month =               oct,
}
[AHK98] Rajeev Alur, Thomas A. Henzinger et Orna Kupferman. Alternating-time Temporal Logic. In COMPOS'97, Lecture Notes in Computer Science 1536, pages 23-60. Springer-Verlag, 1998.
@inproceedings{compos1997-AHK,
  author =              {Alur, Rajeev and Henzinger, Thomas A. and Kupferman,
                         Orna},
  title =               {Alternating-time Temporal Logic},
  editor =              {de Roever, Willem-Paul and Langmaack, Hans and
                         Pnueli, Amir},
  booktitle =           {{R}evised {L}ectures of the 1st {I}nternational
                         {S}ymposium on {C}ompositionality: {T}he
                         {S}ignificant {D}ifference ({COMPOS}'97)},
  acronym =             {{COMPOS}'97},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1536},
  pages =               {23-60},
  year =                {1998},
  confyear =            {1997},
  confmonth =           {9},
}
[dAH+98] Luca de Alfaro, Thomas A. Henzinger et Orna Kupferman. Concurrent Reachability Games. In FOCS'98, pages 564-575. IEEE Comp. Soc. Press, novembre 1998.
@inproceedings{focs1998-AHK,
  author =              {de Alfaro, Luca and Henzinger, Thomas A. and
                         Kupferman, Orna},
  title =               {Concurrent Reachability Games},
  booktitle =           {{P}roceedings of the 39th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'98)},
  acronym =             {{FOCS}'98},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {564-575},
  year =                {1998},
  month =               nov,
}
[AHK02] Rajeev Alur, Thomas A. Henzinger et Orna Kupferman. Alternating-time Temporal Logic. Journal of the ACM 49(5):672-713. ACM Press, septembre 2002.
@article{jacm49(5)-AHK,
  author =              {Alur, Rajeev and Henzinger, Thomas A. and Kupferman,
                         Orna},
  title =               {Alternating-time Temporal Logic},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {49},
  number =              {5},
  pages =               {672-713},
  year =                {2002},
  month =               sep,
  doi =                 {10.1145/585265.585270},
}
[dAH+07] Luca de Alfaro, Thomas A. Henzinger et Orna Kupferman. Concurrent Reachability Games. Theoretical Computer Science 386(3):188-217. Elsevier, novembre 2007.
@article{tcs386(3)-AHK,
  author =              {de Alfaro, Luca and Henzinger, Thomas A. and
                         Kupferman, Orna},
  title =               {Concurrent Reachability Games},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {386},
  number =              {3},
  pages =               {188-217},
  year =                {2007},
  month =               nov,
  doi =                 {10.1016/j.tcs.2007.07.008},
}
[AHK16] Guy Avni, Thomas A. Henzinger et Orna Kupferman. Dynamic Resource Allocation Games. In SAGT'16, Lecture Notes in Computer Science 9928, pages 153-166. Springer-Verlag, septembre 2016.
@inproceedings{sagt2016-AHK,
  author =              {Avni, Guy and Henzinger, Thomas A. and Kupferman,
                         Orna},
  title =               {Dynamic Resource Allocation Games},
  booktitle =           {{P}roceedings of the 9th {I}nternational {S}ymposium
                         on {A}lgorithmic {G}ame {T}heory ({SAGT}'16)},
  acronym =             {{SAGT}'16},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9928},
  pages =               {153-166},
  year =                {2016},
  month =               sep,
  doi =                 {10.1007/978-3-662-53354-3_13},
}
[AHK20] Guy Avni, Thomas A. Henzinger et Orna Kupferman. Dynamic Resource Allocation Games. Theoretical Computer Science 807:42-55. Elsevier, février 2020.
@article{tcs807()-AHK,
  author =              {Avni, Guy and Henzinger, Thomas A. and Kupferman,
                         Orna},
  title =               {Dynamic Resource Allocation Games},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {807},
  pages =               {42-55},
  year =                {2020},
  month =               feb,
  doi =                 {10.1016/j.tcs.2019.06.031},
}
[AHK+98] Rajeev Alur, Thomas A. Henzinger, Orna Kupferman et Moshe Y. Vardi. Alternating Refinement Relations. In CONCUR'98, Lecture Notes in Computer Science 1466, pages 163-178. Springer-Verlag, septembre 1998.
@inproceedings{concur1998-AHKV,
  author =              {Alur, Rajeev and Henzinger, Thomas A. and Kupferman,
                         Orna and Vardi, Moshe Y.},
  title =               {Alternating Refinement Relations},
  editor =              {Sangiorgi, Davide and de Simone, Robert},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'98)},
  acronym =             {{CONCUR}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1466},
  pages =               {163-178},
  year =                {1998},
  month =               sep,
}
[dAH+00] Luca de Alfaro, Thomas A. Henzinger et Freddy Y. C. Mang. The Control of Synchronous Systems. In CONCUR'00, Lecture Notes in Computer Science 1877, pages 458-473. Springer-Verlag, août 2000.
@inproceedings{concur2000-AHM,
  author =              {de Alfaro, Luca and Henzinger, Thomas A. and Mang,
                         Freddy Y. C.},
  title =               {The Control of Synchronous Systems},
  editor =              {Palamidessi, Catuscia},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'00)},
  acronym =             {{CONCUR}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1877},
  pages =               {458-473},
  year =                {2000},
  month =               aug,
}
[dAH+01] Luca de Alfaro, Thomas A. Henzinger et Freddy Y. C. Mang. The Control of Synchronous Systems, Part II. In CONCUR'01, Lecture Notes in Computer Science 2154, pages 566-582. Springer-Verlag, août 2001.
@inproceedings{concur2001-AHM,
  author =              {de Alfaro, Luca and Henzinger, Thomas A. and Mang,
                         Freddy Y. C.},
  title =               {The Control of Synchronous Systems, Part~{II}},
  editor =              {Larsen, Kim Guldstrand and Nielsen, Mogens},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'01)},
  acronym =             {{CONCUR}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2154},
  pages =               {566-582},
  year =                {2001},
  month =               aug,
}
[dAH+01] Luca de Alfaro, Thomas A. Henzinger et Rupak Majumdar. Symbolic Algorithms for Infinite-State Games. In CONCUR'01, Lecture Notes in Computer Science 2154, pages 536-550. Springer-Verlag, août 2001.
@inproceedings{concur2001-AHM2,
  author =              {de Alfaro, Luca and Henzinger, Thomas A. and
                         Majumdar, Rupak},
  title =               {Symbolic Algorithms for Infinite-State Games},
  editor =              {Larsen, Kim Guldstrand and Nielsen, Mogens},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'01)},
  acronym =             {{CONCUR}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2154},
  pages =               {536-550},
  year =                {2001},
  month =               aug,
}
[dAH+01] Luca de Alfaro, Thomas A. Henzinger et Rupak Majumdar. From Verification to Control: Dynamic Programs for Omega-Regular Objectives. In LICS'01, pages 279-290. IEEE Comp. Soc. Press, juin 2001.
@inproceedings{lics2001-AHM,
  author =              {de Alfaro, Luca and Henzinger, Thomas A. and
                         Majumdar, Rupak},
  title =               {From Verification to Control: Dynamic Programs for
                         Omega-Regular Objectives},
  booktitle =           {{P}roceedings of the 16th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'01)},
  acronym =             {{LICS}'01},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {279-290},
  year =                {2001},
  month =               jun,
}
[AHM+98] Rajeev Alur, Thomas A. Henzinger, Freddy Y. C. Mang, Shaz Qadeer, Sriram Rajamani et Serdar Taşiran. MOCHA: Modularity in Model Checking. In CAV'98, Lecture Notes in Computer Science 1427, pages 521-525. Springer-Verlag, juin 1998.
@inproceedings{cav1998-AHMQRT,
  author =              {Alur, Rajeev and Henzinger, Thomas A. and Mang,
                         Freddy Y. C. and Qadeer, Shaz and Rajamani, Sriram
                         and Ta{\c s}iran, Serdar},
  title =               {{MOCHA}: Modularity in Model Checking},
  editor =              {Hu, Alan J. and Vardi, Moshe Y.},
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                         Two~case studies},
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}
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}
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  editor =              {Amadio, Roberto and Lugiez, Denis},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'03)},
  acronym =             {{CONCUR}'03},
  publisher =           {Springer-Verlag},
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  editor =              {Morari, Manfred and Thiele, Lothar},
  booktitle =           {{P}roceedings of the 8th {I}nternational {W}orkshop
                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'05)},
  acronym =             {{HSCC}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3414},
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[ALM20] Étienne André, Didier Lime et Nicolas Markey. Language-preservation problems in parametric timed automata. Logical Methods in Computer Science 16(1). Janvier 2020.
Résumé

Parametric timed automata (PTA) are a powerful formalism to model and reason about concurrent systems with some unknown timing delays. In this paper, we address the (untimed) language- and trace-preservation problems: given a reference parameter valuation, does there exist another parameter valuation with the same untimed language, or with the same set of traces? We show that these problems are undecidable both for general PTA and for the restricted class of L/U-PTA, even for integer-valued parameters, or over bounded time. On the other hand, we exhibit decidable subclasses: 1-clock PTA, and 1-parameter deterministic L-PTA and U-PTA. We also consider robust versions of these problems, where we additionally require that the language be preserved for all valuations between the reference valuation and the new valuation.

@article{lmcs16(1)-ALM,
  author =              {Andr{\'e}, {\'E}tienne and Lime, Didier and Markey,
                         Nicolas},
  title =               {Language-preservation problems in parametric timed
                         automata},
  journal =             {Logical Methods in Computer Science},
  volume =              {16},
  number =              {1},
  year =                {2020},
  month =               jan,
  doi =                 {10.23638/LMCS-16(1:5)2020},
  abstract =            {Parametric timed automata (PTA) are a powerful
                         formalism to model and reason about concurrent
                         systems with some unknown timing delays. In~this
                         paper, we~address the (untimed) language- and
                         trace-preservation problems: given a reference
                         parameter valuation, does there exist another
                         parameter valuation with the same untimed language,
                         or with the same set of traces? We~show that these
                         problems are undecidable both for general PTA and
                         for the restricted class of L{\slash}U-PTA, even for
                         integer-valued parameters, or over bounded time.
                         On~the other~hand, we~exhibit decidable subclasses:
                         1-clock PTA, and 1-parameter deterministic L-PTA and
                         U-PTA. We~also consider robust versions of these
                         problems, where we additionally require that the
                         language be preserved for all valuations between the
                         reference valuation and the new valuation.},
}
[ALN+10] Natasha Alechina, Brian Logan, Nguyen Hoang Nga et Abdur Rakib. Resource-bounded alternating-time temporal logic. In AAMAS'10, pages 481-488. International Foundation for Autonomous Agents and Multiagent Systems, mai 2010.
@inproceedings{aamas2010-ALHNR,
  author =              {Alechina, Natasha and Logan, Brian and Nga, Nguyen
                         Hoang and Rakib, Abdur},
  title =               {Resource-bounded alternating-time temporal logic},
  editor =              {van der Hoek, Wiebe and Kaminka, Gal A. and
                         Lesp{\'e}rance, Yves and Luck, Michael and Sen,
                         Sandeep},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {A}utonomous {A}gents and
                         {M}ultiagent {S}ystems ({AAMAS}'10)},
  acronym =             {{AAMAS}'10},
  publisher =           {International Foundation for Autonomous Agents and
                         Multiagent Systems},
  pages =               {481-488},
  year =                {2010},
  month =               may,
}
[ALP01] Rajeev Alur, Salvatore La Torre et George J. Pappas. Optimal paths in weighted timed automata. In HSCC'01, Lecture Notes in Computer Science 2034, pages 49-62. Springer-Verlag, mars 2001.
@inproceedings{hscc2001-ALP,
  author =              {Alur, Rajeev and La{~}Torre, Salvatore and Pappas,
                         George J.},
  title =               {Optimal paths in weighted timed automata},
  editor =              {Di{~}Benedetto, Maria Domenica and
                         Sangiovani{-}Vincentelli, Alberto L.},
  booktitle =           {{P}roceedings of the 4th {I}nternational {W}orkshop
                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'01)},
  acronym =             {{HSCC}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2034},
  pages =               {49-62},
  year =                {2001},
  month =               mar,
  doi =                 {10.1007/3-540-45351-2_8},
}
[ALP04] Rajeev Alur, Salvatore La Torre et George J. Pappas. Optimal paths in weighted timed automata. Theoretical Computer Science 318(3):297-322. Elsevier, juin 2004.
@article{tcs318(3)-ALP,
  author =              {Alur, Rajeev and La{~}Torre, Salvatore and Pappas,
                         George J.},
  title =               {Optimal paths in weighted timed automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {318},
  number =              {3},
  pages =               {297-322},
  year =                {2004},
  month =               jun,
  doi =                 {10.1016/j.tcs.2003.10.038},
}
[ALR98] Eric Allender, Michael C. Loui et Kenneth W. Regan. Complexity Classes. In Mikhail J. Atallah (eds.), Handbook of Algorithms and Theory of Computation. CRC Press, novembre 1998.
@incollection{hatc1998-ALRa,
  author =              {Allender, Eric and Loui, Michael C. and Regan,
                         Kenneth W.},
  title =               {Complexity Classes},
  editor =              {Atallah, Mikhail J.},
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  publisher =           {CRC Press},
  pages =               {27.1-27.23},
  year =                {1998},
  month =               nov,
}
[ALR98] Eric Allender, Michael C. Loui et Kenneth W. Regan. Reducibility and Completeness. In Mikhail J. Atallah (eds.), Handbook of Algorithms and Theory of Computation. CRC Press, novembre 1998.
@incollection{hatc1998-ALRb,
  author =              {Allender, Eric and Loui, Michael C. and Regan,
                         Kenneth W.},
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  editor =              {Atallah, Mikhail J.},
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  publisher =           {CRC Press},
  pages =               {28.1-28.28},
  year =                {1998},
  month =               nov,
}
[ALR98] Eric Allender, Michael C. Loui et Kenneth W. Regan. Other Complexity Classes and Measures. In Mikhail J. Atallah (eds.), Handbook of Algorithms and Theory of Computation. CRC Press, novembre 1998.
@incollection{hatc1998-ALRc,
  author =              {Allender, Eric and Loui, Michael C. and Regan,
                         Kenneth W.},
  title =               {Other Complexity Classes and Measures},
  editor =              {Atallah, Mikhail J.},
  booktitle =           {Handbook of Algorithms and Theory of Computation},
  publisher =           {CRC Press},
  pages =               {29.1-29.24},
  year =                {1998},
  month =               nov,
}
[Alu91] Rajeev Alur. Techniques for Automatic Verification of Real-Time Systems. PhD thesis, Stanford University, 1991.
@phdthesis{phd-alur,
  author =              {Alur, Rajeev},
  title =               {Techniques for Automatic Verification of Real-Time
                         Systems},
  year =                {1991},
  school =              {Stanford University},
}
[Alu99] Rajeev Alur. Timed Automata. In CAV'99, Lecture Notes in Computer Science 1633, pages 8-22. Springer-Verlag, juillet 1999.
@inproceedings{cav1999-Alu,
  author =              {Alur, Rajeev},
  title =               {Timed Automata},
  editor =              {Halbwachs, Nicolas and Peled, Doron A.},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'99)},
  acronym =             {{CAV}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1633},
  pages =               {8-22},
  year =                {1999},
  month =               jul,
}
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@techreport{TR-inria4147,
  author =              {Amadio, Roberto and Lugiez, Denis and Vanack{\`e}re,
                         Vincent},
  title =               {On the Symbolic Reduction of Processes with
                         Cryptographic Functions},
  number =              {4147},
  year =                {2001},
  month =               mar,
  institution =         {INRIA},
}
[ALW89] Martín Abadi, Leslie Lamport et Pierre Wolper. Realizable and Unrealizable Specifications of Reactive Systems. In ICALP'89, Lecture Notes in Computer Science 372, pages 1-17. Springer-Verlag, juillet 1989.
@inproceedings{icalp1989-ALW,
  author =              {Abadi, Mart{\'\i}n and Lamport, Leslie and Wolper,
                         Pierre},
  title =               {Realizable and Unrealizable Specifications of
                         Reactive Systems},
  editor =              {Ausiello, Giorgio and Dezani{-}Ciancaglini,
                         Mariangiola and Ronchi{ }Della{~}Rocca, Simona},
  booktitle =           {{P}roceedings of the 16th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'89)},
  acronym =             {{ICALP}'89},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {372},
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}
[AM99] Eugene Asarin et Oded Maler. As Soon as Possible: Time Optimal Control for Timed Automata. In HSCC'99, Lecture Notes in Computer Science 1569, pages 19-30. Springer-Verlag, mars 1999.
@inproceedings{hscc1999-AM,
  author =              {Asarin, Eugene and Maler, Oded},
  title =               {As~Soon as Possible: Time Optimal Control for Timed
                         Automata},
  editor =              {Vaandrager, Frits and van Schuppen, Jan H.},
  booktitle =           {{P}roceedings of the 2nd {I}nternational {W}orkshop
                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'99)},
  acronym =             {{HSCC}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1569},
  pages =               {19-30},
  year =                {1999},
  month =               mar,
}
[AM01] Yasmina Abdeddaïm et Oded Maler. Job-Shop Scheduling Using Timed Automata. In CAV'01, Lecture Notes in Computer Science 2102, pages 478-492. Springer-Verlag, juillet 2001.
@inproceedings{cav2001-AM,
  author =              {Abdedda{\"\i}m, Yasmina and Maler, Oded},
  title =               {Job-Shop Scheduling Using Timed Automata},
  editor =              {Berry, G{\'e}rard and Comon, Hubert and Finkel,
                         Alain},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'01)},
  acronym =             {{CAV}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2102},
  pages =               {478-492},
  year =                {2001},
  month =               jul,
}
[AM02] Yasmina Abdeddaïm et Oded Maler. Preemptive Job-Shop Scheduling using Stopwatch Automata. In TACAS'02, Lecture Notes in Computer Science 2280, pages 113-126. Springer-Verlag, avril 2002.
@inproceedings{tacas2002-AM,
  author =              {Abdedda{\"\i}m, Yasmina and Maler, Oded},
  title =               {Preemptive Job-Shop Scheduling using Stopwatch
                         Automata},
  editor =              {Katoen, Joost-Pieter and Stevens, Perdita},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'02)},
  acronym =             {{TACAS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2280},
  pages =               {113-126},
  year =                {2002},
  month =               apr,
}
[AM04] Rajeev Alur et Parthasarathy Madhusudan. Decision Problems for Timed Automata: A Survey. In SFM-RT'04, Lecture Notes in Computer Science 3185, pages 1-24. Springer-Verlag, septembre 2004.
@inproceedings{sfm2004-AM,
  author =              {Alur, Rajeev and Madhusudan, Parthasarathy},
  title =               {Decision Problems for Timed Automata: A~Survey},
  editor =              {Bernardo, Marco and Corradini, Flavio},
  booktitle =           {{F}ormal {M}ethods for the {D}esign of {R}eal-{T}ime
                         {S}ystems~--- {R}evised {L}ectures of the
                         {I}nternational {S}chool on {F}ormal {M}ethods for
                         the {D}esign of {C}omputer, {C}ommunication and
                         {S}oftware {S}ystems ({SFM-RT}'04)},
  acronym =             {{SFM-RT}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3185},
  pages =               {1-24},
  year =                {2004},
  month =               sep,
}
[AM15] Étienne André et Nicolas Markey. Language Preservation Problems in Parametric Timed Automata. In FORMATS'15, Lecture Notes in Computer Science 9268, pages 27-43. Springer-Verlag, septembre 2015.
Résumé

Parametric timed automata (PTA) are a powerful formalism to model and reason about concurrent systems with some unknown timing delays. In this paper, we address the (untimed) language- and trace-preservation problems: given a reference parameter valuation, does there exist another parameter valuation with the same untimed language (or trace)? We show that these problems are undecidable both for general PTA, and even for the restricted class of L/U-PTA. On the other hand, we exhibit decidable subclasses: 1-clock PTA, and 1-parameter deterministic L-PTA and U-PTA.

@inproceedings{formats2015-AM,
  author =              {Andr{\'e}, {\'E}tienne and Markey, Nicolas},
  title =               {Language Preservation Problems in Parametric Timed
                         Automata},
  editor =              {Sankaranarayanan, Sriram and Vicario, Enrico},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'15)},
  acronym =             {{FORMATS}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9268},
  pages =               {27-43},
  year =                {2015},
  month =               sep,
  doi =                 {10.1007/978-3-319-22975-1_3},
  abstract =            {Parametric timed automata (PTA) are a powerful
                         formalism to model and reason about concurrent
                         systems with some unknown timing delays. In this
                         paper, we address the (untimed) language- and
                         trace-preservation problems: given a reference
                         parameter valuation, does there exist another
                         parameter valuation with the same untimed language
                         (or trace)? We show that these problems are
                         undecidable both for general PTA, and even for the
                         restricted class of L/U-PTA. On the other hand, we
                         exhibit decidable subclasses: 1-clock PTA, and
                         1-parameter deterministic L-PTA and U-PTA.},
}
[AMM+16] Benjamin Aminof, Vadim Malvone, Aniello Murano et Sasha Rubin. Graded Strategy Logic: Reasoning about Uniqueness of Nash Equilibria. In AAMAS'16, pages 698-706. International Foundation for Autonomous Agents and Multiagent Systems, mai 2016.
@inproceedings{aamas2016-AMMR,
  author =              {Aminof, Benjamin and Malvone, Vadim and Murano,
                         Aniello and Rubin, Sasha},
  title =               {Graded Strategy Logic: Reasoning about Uniqueness of
                         Nash Equilibria},
  editor =              {Jonker, Catholijn M. and Marsella, Stacy and
                         Thangarajah, John and Tuyls, Karl},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {A}utonomous {A}gents and
                         {M}ultiagent {S}ystems ({AAMAS}'16)},
  acronym =             {{AAMAS}'16},
  publisher =           {International Foundation for Autonomous Agents and
                         Multiagent Systems},
  pages =               {698-706},
  year =                {2016},
  month =               may,
}
[AMM+18] Benjamin Aminof, Vadim Malvone, Aniello Murano et Sasha Rubin. Graded modalities in Strategy Logic. Information and Computation 261(4):634-649. Elsevier, août 2018.
@article{icomp261(4)-AMMR,
  author =              {Aminof, Benjamin and Malvone, Vadim and Murano,
                         Aniello and Rubin, Sasha},
  title =               {Graded modalities in Strategy Logic},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {261},
  number =              {4},
  pages =               {634-649},
  year =                {2018},
  month =               aug,
  doi =                 {10.1016/j.ic.2018.02.021},
}
[AMP95] Eugene Asarin, Oded Maler et Amir Pnueli. Reachability Analysis of Dynamical Systems Having Piecewise-Constant Derivatives. Theoretical Computer Science 138(1):35-65. Elsevier, 1995.
@article{tcs138(1)-AMP,
  author =              {Asarin, Eugene and Maler, Oded and Pnueli, Amir},
  title =               {Reachability Analysis of Dynamical Systems Having
                         Piecewise-Constant Derivatives},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {138},
  number =              {1},
  pages =               {35-65},
  year =                {1995},
}
[AMP95] Eugene Asarin, Oded Maler et Amir Pnueli. Symbolic Controller Synthesis for Discrete and Timed Systems. In HSCC'94, Lecture Notes in Computer Science 999, pages 1-20. Springer-Verlag, 1995.
@inproceedings{hscc1994-AMP,
  author =              {Asarin, Eugene and Maler, Oded and Pnueli, Amir},
  title =               {Symbolic Controller Synthesis for Discrete and Timed
                         Systems},
  editor =              {Antsaklis, Panos and Kohn, Wolf and Nerode, Anil and
                         Sastry, Shankar},
  booktitle =           {{H}ybrid {S}ystems~{II} ({HSCC}'94)},
  acronym =             {{HSCC}'94},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {999},
  pages =               {1-20},
  year =                {1995},
}
[AMP98] Eugene Asarin, Oded Maler et Amir Pnueli. On Discretization of Delays in Timed Automata and Digital Circuits. In CONCUR'98, Lecture Notes in Computer Science 1466, pages 470-484. Springer-Verlag, septembre 1998.
@inproceedings{concur1998-AMP,
  author =              {Asarin, Eugene and Maler, Oded and Pnueli, Amir},
  title =               {On Discretization of Delays in Timed Automata and
                         Digital Circuits},
  editor =              {Sangiorgi, Davide and de Simone, Robert},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'98)},
  acronym =             {{CONCUR}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1466},
  pages =               {470-484},
  year =                {1998},
  month =               sep,
}
[AMP+20] Gal Amram, Shahar Maoz, Or Pistiner et Jan Oliver Ringert. Energy μ-Calculus: Symbolic Fixed-Point Algorithms for ω-Regular Energy Games. Technical Report 2005.00641, arXiv, mai 2020.
@techreport{arxiv-AMPR,
  author =              {Amram, Gal and Maoz, Shahar and Pistiner, Or and
                         Ringert, Jan Oliver},
  title =               {Energy {{\(\mu\)}}-Calculus: Symbolic Fixed-Point
                         Algorithms for {{\(\omega\)}}-Regular Energy Games},
  number =              {2005.00641},
  year =                {2020},
  month =               may,
  institution =         {arXiv},
}
[AMP+98] Eugene Asarin, Oded Maler, Amir Pnueli et Joseph Sifakis. Controller Synthesis for Timed Automata. In SSC'98, pages 469-474. Elsevier, juillet 1998.
@inproceedings{sssc1998-AMPS,
  author =              {Asarin, Eugene and Maler, Oded and Pnueli, Amir and
                         Sifakis, Joseph},
  title =               {Controller Synthesis for Timed Automata},
  booktitle =           {{P}roceedings of the 5th {IFAC} {C}conference on
                         {S}ystem {S}tructure and {C}ontrol ({SSC}'98)},
  acronym =             {{SSC}'98},
  publisher =           {Elsevier},
  pages =               {469-474},
  year =                {1998},
  month =               jul,
}
[AMR+05] Karine Altisen, Nicolas Markey, Pierre-Alain Reynier et Stavros Tripakis. Implémentabilité des automates temporisés. In MSR'05, pages 395-406. Hermès, octobre 2005.
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  author =              {Altisen, Karine and Markey, Nicolas and Reynier,
                         Pierre-Alain and Tripakis, Stavros},
  title =               {Impl{\'e}mentabilit{\'e} des automates
                         temporis{\'e}s},
  editor =              {Alla, Hassane and Rutten, {\'E}ric},
  booktitle =           {{A}ctes du 5{\`e}me {C}olloque {F}rancophone sur la
                         {M}od{\'e}lisation des {S}yst{\`e}mes r{\'e}actifs
                         ({MSR}'05)},
  acronym =             {{MSR}'05},
  publisher =           {Herm{\`e}s},
  pages =               {395-406},
  year =                {2005},
  month =               oct,
  url =                 {http://www.lsv.ens-cachan.fr/Publis/PAPERS/PDF/MSR05-impl.pdf},
}
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                         {L}ogic in {C}omputer {S}cience ({LICS}'95)},
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  publisher =           {IEEE Comp. Soc. Press},
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  booktitle =           {{P}roceedings of the 11th {ESSLLI} {S}tudent
                         {S}ession},
  pages =               {91-98},
  year =                {2006},
  month =               aug,
}
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  journal =             {Information and Computation},
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  author =              {Allender, Eric and Ogihara, Mitsunori},
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                         Determinant},
  publisher =           {EDP Sciences},
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[APT79] Bengt Aspvall, Michael F. Plass et Robert Endre Tarjan. A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean Formulas. Information Processing Letters 8(3):121-123. Elsevier, mars 1979. erratum as \citeipl14(4)-APT.
@article{ipl8(3)-APT,
  author =              {Aspvall, Bengt and Plass, Michael F. and Tarjan,
                         Robert Endre},
  title =               {A Linear-Time Algorithm for Testing the Truth of
                         Certain Quantified Boolean Formulas},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {8},
  number =              {3},
  pages =               {121-123},
  year =                {1979},
  month =               mar,
  note =                {erratum as~\cite{ipl14(4)-APT}},
}
[APT82] Bengt Aspvall, Michael F. Plass et Robert Endre Tarjan. Erratum (A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean Formulas). Information Processing Letters 14(4):195. Elsevier, juin 1982.
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  title =               {Almost-sure Model Checking of Infinite Paths in
                         One-clock Timed Automata},
  booktitle =           {{P}roceedings of the 23rd {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'08)},
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  title =               {Concurrent secrets},
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Résumé

In [Baier et al., Probabilistic and Topological Semantics for Timed Automata, FSTTCS'07] a probabilistic semantics for timed automata has been defined in order to rule out unlikely (sequences of) events. The qualitative model-checking problem for LTL properties has been investigated, where the aim is to check whether a given LTL property holds with probability 1 in a timed automaton, and solved for the class of single-clock timed automata.

In this paper, we consider the quantitative model-checking problem for ω-regular properties: we aim at computing the exact probability that a given timed automaton satisfies an ω-regular property. We develop a framework in which we can compute a closed-form expression for this probability; we furthermore give an approximation algorithm, and finally prove that we can decide the threshold problem in that framework.

@inproceedings{qest2008-BBBM,
  author =              {Bertrand, Nathalie and Bouyer, Patricia and Brihaye,
                         {\relax Th}omas and Markey, Nicolas},
  title =               {Quantitative Model-Checking of One-Clock Timed
                         Automata under Probabilistic Semantics},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onference on {Q}uantitative {E}valuation of
                         {S}ystems ({QEST}'08)},
  acronym =             {{QEST}'08},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {55-64},
  year =                {2008},
  month =               sep,
  doi =                 {10.1109/QEST.2008.19},
  abstract =            {In [Baier \emph{et~al.}, \textit{Probabilistic and
                         Topological Semantics for Timed Automata},
                         FSTTCS'07] a probabilistic semantics for timed
                         automata has been defined in order to rule out
                         unlikely (sequences of) events. The qualitative
                         model-checking problem for LTL properties has been
                         investigated, where the aim is to check whether a
                         given LTL property holds with probability~\(1\) in a
                         timed automaton, and solved for the class of
                         single-clock timed automata.\par In this paper, we
                         consider the quantitative model-checking problem for
                         \(\omega\)-regular properties: we aim at computing
                         the exact probability that a given timed automaton
                         satisfies an \(\omega\)-regular property. We develop
                         a framework in which we can compute a closed-form
                         expression for this probability; we furthermore give
                         an approximation algorithm, and finally prove that
                         we can decide the threshold problem in that
                         framework.},
}
[BBB+14] Nathalie Bertrand, Patricia Bouyer, Thomas Brihaye, Quentin Menet, Christel Baier, Marcus Größer et Marcin Jurdziński. Stochastic Timed Automata. Logical Methods in Computer Science 10(4). Décembre 2014.
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  publisher =           {Springer-Verlag},
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  author =              {Brihaye, {\relax Th}omas and Bruy{\`e}re,
                         V{\'e}ronique and De{~}Pril, Julie},
  title =               {On Equilibria in Quantitative Games with
                         Reachability{{\slash}}Safety Objectives},
  publisher =           {Springer-Verlag},
  journal =             {Theory of Computing Systems},
  volume =              {54},
  number =              {2},
  pages =               {150-189},
  year =                {2014},
  month =               feb,
}
[BBD+11] Thomas Brihaye, Véronique Bruyère, Laurent Doyen, Marc Ducobu et Jean-François Raskin. Antichain-based QBF Solving. In ATVA'11, Lecture Notes in Computer Science 6996, pages 183-197. Springer-Verlag, octobre 2011.
@inproceedings{atva2011-BBDDR,
  author =              {Brihaye, {\relax Th}omas and Bruy{\`e}re,
                         V{\'e}ronique and Doyen, Laurent and Ducobu, Marc
                         and Raskin, Jean-Fran{\c c}ois},
  title =               {Antichain-based {QBF} Solving},
  editor =              {Bultan, Tevfik and Hsiung, Pao-Ann},
  booktitle =           {{P}roceedings of the 9th {I}nternational {S}ymposium
                         on {A}utomated {T}echnology for {V}erification and
                         {A}nalysis ({ATVA}'11)},
  acronym =             {{ATVA}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6996},
  pages =               {183-197},
  year =                {2011},
  month =               oct,
}
[BBD+12] Thomas Brihaye, Véronique Bruyère, Julie De Pril et Hugo Gimbert. Subgame Perfection for Equilibria in Quantitative Reachability Games. In FoSSaCS'12, Lecture Notes in Computer Science 7213, pages 286-300. Springer-Verlag, mars 2012.
@inproceedings{fossacs2012-BBDG,
  author =              {Brihaye, {\relax Th}omas and Bruy{\`e}re,
                         V{\'e}ronique and De{~}Pril, Julie and Gimbert,
                         Hugo},
  title =               {Subgame Perfection for Equilibria in Quantitative
                         Reachability Games},
  editor =              {Birkedal, Lars},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'12)},
  acronym =             {{FoSSaCS}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7213},
  pages =               {286-300},
  year =                {2012},
  month =               mar,
}
[BBD+02] Gerd Behrmann, Johan Bengtsson, Alexandre David, Kim Guldstrand Larsen, Paul Pettersson et Wang Yi. UPPAAL Implementation Secrets. In FTRTFT'02, Lecture Notes in Computer Science 2469, pages 3-22. Springer-Verlag, septembre 2002.
@inproceedings{ftrtft2002-BBDLPY,
  author =              {Behrmann, Gerd and Bengtsson, Johan and David,
                         Alexandre and Larsen, Kim Guldstrand and Pettersson,
                         Paul and Yi, Wang},
  title =               {UPPAAL Implementation Secrets},
  editor =              {Damm, Werner and Olderog, Ernst R{\"u}diger},
  booktitle =           {{P}roceedings of the 7th {F}ormal {T}echniques in
                         {R}eal-Time and {F}ault-Tolerant {S}ystems
                         ({FTRTFT}'02)},
  acronym =             {{FTRTFT}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2469},
  pages =               {3-22},
  year =                {2002},
  month =               sep,
  doi =                 {10.1007/3-540-45739-9_1},
}
[BBF+06] Tomáš Brázdil, Václav Brožek, Vojtěch Forejt et Antonín Kučera. Stochastic Games with Branching-Time Winning Objectives. In LICS'06, pages 349-358. IEEE Comp. Soc. Press, juillet 2006.
@inproceedings{lics2006-BBFK,
  author =              {Br{\'a}zdil, Tom{\'a}{\v s} and V{\'a}clav
                         Bro{\v{z}}ek and Forejt, Vojt{\v{e}}ch and Ku{\v
                         c}era, Anton{\'\i}n},
  title =               {Stochastic Games with Branching-Time Winning
                         Objectives},
  booktitle =           {{P}roceedings of the 21st {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'06)},
  acronym =             {{LICS}'06},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {349-358},
  year =                {2006},
  month =               jul,
}
[BBF+03] Gerd Behrmann, Patricia Bouyer, Emmanuel Fleury et Kim Guldstrand Larsen. Static Guard Analysis in Timed Automata Verification. In TACAS'03, Lecture Notes in Computer Science 2619, pages 254-270. Springer-Verlag, avril 2003.
@inproceedings{tacas2003-BBFL,
  author =              {Behrmann, Gerd and Bouyer, Patricia and Fleury,
                         Emmanuel and Larsen, Kim Guldstrand},
  title =               {Static Guard Analysis in Timed Automata
                         Verification},
  editor =              {Garavel, Hubert and Hatcliff, John},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'03)},
  acronym =             {{TACAS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2619},
  pages =               {254-270},
  year =                {2003},
  month =               apr,
}
[BBF+18] Giovanni Bacci, Patricia Bouyer, Uli Fahrenberg, Kim Guldstrand Larsen, Nicolas Markey et Pierre-Alain Reynier. Optimal and Robust Controller Synthesis Using Energy Timed Automata with Uncertainty. In FM'18, Lecture Notes in Computer Science 10951, pages 203-221. Springer-Verlag, juillet 2018.
Résumé

In this paper, we propose a novel framework for the synthesis of robust and optimal energy-aware controllers. The framework is based on energy timed automata, allowing for easy expression of timing-constraints and variable energy-rates. We prove decidability of the energy-constrained infinite-run problem in settings with both certainty and uncertainty of the energy-rates. We also consider the optimization problem of identifying the minimal upper bound that will permit existence of energy-constrained infinite runs. Our algorithms are based on quantifier elimination for linear real arithmetic. Using Mathematica and Mjollnir, we illustrate our framework through a real industrial example of a hydraulic oil pump. Compared with previous approaches our method is completely automated and provides improved results.

@inproceedings{fm2018-BBFLMR,
  author =              {Bacci, Giovanni and Bouyer, Patricia and Fahrenberg,
                         Uli and Larsen, Kim Guldstrand and Markey, Nicolas
                         and Reynier, Pierre-Alain},
  title =               {Optimal and Robust Controller Synthesis Using Energy
                         Timed Automata with Uncertainty},
  editor =              {Havelund, Klaus and Peleska, Jan and Roscoe, Bill W.
                         and de Vink, Erik},
  booktitle =           {{P}roceedings of the 22nd {I}nternational
                         {S}ymposium on {F}ormal {M}ethods ({FM}'18)},
  acronym =             {{FM}'18},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {10951},
  pages =               {203-221},
  year =                {2018},
  month =               jul,
  doi =                 {10.1007/978-3-319-95582-7_12},
  abstract =            {In this paper, we propose a novel framework for the
                         synthesis of robust and optimal energy-aware
                         controllers. The framework is based on energy timed
                         automata, allowing for easy expression of
                         timing-constraints and variable energy-rates. We
                         prove decidability of the energy-constrained
                         infinite-run problem in settings with both certainty
                         and uncertainty of the energy-rates. We also
                         consider the optimization problem of identifying the
                         minimal upper bound that will permit existence of
                         energy-constrained infinite runs. Our algorithms are
                         based on quantifier elimination for linear real
                         arithmetic. Using Mathematica and Mjollnir, we
                         illustrate our framework through a real industrial
                         example of a hydraulic oil pump. Compared with
                         previous approaches our method is completely
                         automated and provides improved results.},
}
[BBF+21] Giovanni Bacci, Patricia Bouyer, Uli Fahrenberg, Kim Guldstrand Larsen, Nicolas Markey et Pierre-Alain Reynier. Optimal and Robust Controller Synthesis Using Energy Timed Automata with Uncertainty. Formal Aspects of Computing 33(1):3-25. Springer-Verlag, janvier 2021.
Résumé

In this paper, we propose a novel framework for the synthesis of robust and optimal energy-aware controllers. The framework is based on energy timed automata, allowing for easy expression of timing-constraints and variable energy-rates. We prove decidability of the energy-constrained infinite-run problem in settings with both certainty and uncertainty of the energy-rates. We also consider the optimization problem of identifying the minimal upper bound that will permit existence of energy-constrained infinite runs. Our algorithms are based on quantifier elimination for linear real arithmetic. Using Mathematica and Mjollnir, we illustrate our framework through a real industrial example of a hydraulic oil pump. Compared with previous approaches our method is completely automated and provides improved results.

@article{fac2020-BBFLMR,
  author =              {Bacci, Giovanni and Bouyer, Patricia and Fahrenberg,
                         Uli and Larsen, Kim Guldstrand and Markey, Nicolas
                         and Reynier, Pierre-Alain},
  title =               {Optimal and Robust Controller Synthesis Using Energy
                         Timed Automata with Uncertainty},
  publisher =           {Springer-Verlag},
  journal =             {Formal Aspects of Computing},
  volume =              {33},
  number =              {1},
  pages =               {3-25},
  year =                {2021},
  month =               jan,
  doi =                 {10.1007/s00165-020-00521-4},
  abstract =            {In~this paper, we~propose a novel framework for the
                         synthesis of robust and optimal energy-aware
                         controllers. The~framework is based on energy timed
                         automata, allowing for easy expression of
                         timing-constraints and variable energy-rates.
                         We~prove decidability of the energy-constrained
                         infinite-run problem in settings with both certainty
                         and uncertainty of the energy-rates. We~also
                         consider the optimization problem of identifying the
                         minimal upper bound that will permit existence of
                         energy-constrained infinite runs. Our~algorithms are
                         based on quantifier elimination for linear real
                         arithmetic. Using Mathematica and Mjollnir,
                         we~illustrate our framework through a real
                         industrial example of a hydraulic oil pump. Compared
                         with previous approaches our method is completely
                         automated and provides improved results.},
}
[BBF+01] Béatrice Bérard, Michel Bidoit, Alain Finkel, François Laroussinie, Antoine Petit, Laure Petrucci, Philippe Schnoebelen et Pierre McKenzie. Systems and Software Verification: Model-Checking Techniques and Tools. Springer-Verlag, 2001.
@book{SSV2001-BBFLPPS,
  author =              {B{\'e}rard, B{\'e}atrice and Bidoit, Michel and
                         Finkel, Alain and Laroussinie, Fran{\c c}ois and
                         Petit, Antoine and Petrucci, Laure and Schnoebelen,
                         {\relax Ph}ilippe and McKenzie, Pierre},
  title =               {Systems and Software Verification: Model-Checking
                         Techniques and Tools},
  publisher =           {Springer-Verlag},
  year =                {2001},
}
[BBF+13] Aaron Bohy, Véronique Bruyère, Emmanuel Filiot et Jean-François Raskin. Synthesis from LTL Specifications with Mean-Payoff Objectives. In TACAS'13, Lecture Notes in Computer Science 7795, pages 169-184. Springer-Verlag, mars 2013.
@inproceedings{tacas2013-BBFR,
  author =              {Bohy, Aaron and Bruy{\`e}re, V{\'e}ronique and
                         Filiot, Emmanuel and Raskin, Jean-Fran{\c c}ois},
  title =               {Synthesis from {LTL} Specifications with Mean-Payoff
                         Objectives},
  editor =              {Piterman, Nir and Smolka, Scott A.},
  booktitle =           {{P}roceedings of the 19th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'13)},
  acronym =             {{TACAS}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7795},
  pages =               {169-184},
  year =                {2013},
  month =               mar,
}
[BBG+07] Christel Baier, Tomáš Brázdil, Marcus Größer et Antonín Kučera. Stochastic Game Logic. In QEST'07, pages 227-236. IEEE Comp. Soc. Press, septembre 2007.
@inproceedings{qest2007-BBGK,
  author =              {Baier, {\relax Ch}ristel and Br{\'a}zdil,
                         Tom{\'a}{\v s} and Gr{\"o}{\ss}er, Marcus and Ku{\v
                         c}era, Anton{\'\i}n},
  title =               {Stochastic Game Logic},
  booktitle =           {{P}roceedings of the 4th {I}nternational
                         {C}onference on {Q}uantitative {E}valuation of
                         {S}ystems ({QEST}'07)},
  acronym =             {{QEST}'07},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {227-236},
  year =                {2007},
  month =               sep,
}
[BBG+12] Christel Baier, Tomáš Brázdil, Marcus Größer et Antonín Kučera. Stochastic Game Logic. Acta Informatica 49(4):203-224. Springer-Verlag, juin 2012.
@article{acta49(4)-BBGK,
  author =              {Baier, {\relax Ch}ristel and Br{\'a}zdil,
                         Tom{\'a}{\v s} and Gr{\"o}{\ss}er, Marcus and Ku{\v
                         c}era, Anton{\'\i}n},
  title =               {Stochastic Game Logic},
  publisher =           {Springer-Verlag},
  journal =             {Acta Informatica},
  volume =              {49},
  number =              {4},
  pages =               {203-224},
  year =                {2012},
  month =               jun,
  doi =                 {10.1007/s00236-012-0156-0},
}
[BBG+19] Thomas Brihaye, Véronique Bruyère, Aline Goeminne, Jean-François Raskin et Marie Van den Bogaard. The Complexity of Subgame Perfect Equilibria in Quantitative Reachability Games. In CONCUR'19, Leibniz International Proceedings in Informatics 140, pages 13:1-13:16. Leibniz-Zentrum für Informatik, août 2019.
@inproceedings{concur2019-BBGRB,
  author =              {Brihaye, {\relax Th}omas and Bruy{\`e}re,
                         V{\'e}ronique and Goeminne, Aline and Raskin,
                         Jean-Fran{\c c}ois and Van{~}den{ }Bogaard, Marie},
  title =               {The~Complexity of Subgame Perfect Equilibria in
                         Quantitative Reachability Games},
  editor =              {Fokkink, Wan J. and van Glabbeek, Rob},
  booktitle =           {{P}roceedings of the 30th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'19)},
  acronym =             {{CONCUR}'19},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {140},
  pages =               {13:1-13:16},
  year =                {2019},
  month =               aug,
  doi =                 {10.4230/LIPIcs.CONCUR.2019.13},
}
[BBJ+14] Dimitri Bohlender, Harold Bruintjes, Sebastian Junges, Jens Katelaan, Viet Yen Nguyen et Thomas Noll. A Review of Statistical Model Checking Pitfalls on Real-Time Stochastic Models. In ISoLA'14, Lecture Notes in Computer Science 8803, pages 177-192. Springer-Verlag, octobre 2014.
@inproceedings{BBJKNN-isola2014,
  author =              {Bohlender, Dimitri and Bruintjes, Harold and Junges,
                         Sebastian and Katelaan, Jens and Nguyen, Viet Yen
                         and Noll, Thomas},
  title =               {A~Review of Statistical Model Checking Pitfalls on
                         Real-Time Stochastic Models},
  editor =              {Margaria, Tiziana and Steffen, Bernhard},
  booktitle =           {{P}roceedings of the 6th {I}nternational {S}ymposium
                         on {L}everaging {A}pplications of {F}ormal
                         {M}ethods, {V}erification and {V}alidation
                         ({IS}o{LA}'14)~-- {P}art~{II}: {S}pecialized
                         {T}echniques and {A}pplications},
  acronym =             {{IS}o{LA}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8803},
  pages =               {177-192},
  year =                {2014},
  month =               oct,
  doi =                 {10.1007/978-3-662-45231-8_13},
}
[BBL04] Patricia Bouyer, Ed Brinksma et Kim Guldstrand Larsen. Staying Alive as Cheaply as Possible. In HSCC'04, Lecture Notes in Computer Science 2993, pages 203-218. Springer-Verlag, mars 2004.
@inproceedings{hscc2004-BBL,
  author =              {Bouyer, Patricia and Brinksma, Ed and Larsen, Kim
                         Guldstrand},
  title =               {Staying Alive as Cheaply as Possible},
  editor =              {Alur, Rajeev and Pappas, George J.},
  booktitle =           {{P}roceedings of the 7th {I}nternational {W}orkshop
                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'04)},
  acronym =             {{HSCC}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2993},
  pages =               {203-218},
  year =                {2004},
  month =               mar,
}
[BBL08] Patricia Bouyer, Ed Brinksma et Kim Guldstrand Larsen. Optimal infinite scheduling for multi-priced timed automata. Formal Methods in System Design 32(1):2-23. Springer-Verlag, février 2008.
@article{fmsd32(1)-BBL,
  author =              {Bouyer, Patricia and Brinksma, Ed and Larsen, Kim
                         Guldstrand},
  title =               {Optimal infinite scheduling for multi-priced timed
                         automata},
  publisher =           {Springer-Verlag},
  journal =             {Formal Methods in System Design},
  volume =              {32},
  number =              {1},
  pages =               {2-23},
  year =                {2008},
  month =               feb,
}
[BBL+13] Giorgio Bacci, Giovanni Bacci, Kim Guldstrand Larsen et Radu Mardare. Computing Behavioral Distances, Compositionally. In MFCS'13, Lecture Notes in Computer Science 8087, pages 74-85. Springer-Verlag, août 2013.
@inproceedings{mfcs2013-BBLM,
  author =              {Bacci, Giorgio and Bacci, Giovanni and Larsen, Kim
                         Guldstrand and Mardare, Radu},
  title =               {Computing Behavioral Distances, Compositionally},
  editor =              {Chatterjee, Krishnendu and Sgall, Ji{\v r}{\'\i}},
  booktitle =           {{P}roceedings of the 38th {I}nternational
                         {S}ymposium on {M}athematical {F}oundations of
                         {C}omputer {S}cience ({MFCS}'13)},
  acronym =             {{MFCS}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8087},
  pages =               {74-85},
  year =                {2013},
  month =               aug,
  doi =                 {10.1007/978-3-642-40313-2_9},
}
[BBL+13] Giorgio Bacci, Giovanni Bacci, Kim Guldstrand Larsen et Radu Mardare. The BisimDist Library: Efficient Computation of Bisimilarity Distances for Markovian Models. In QEST'13, pages 278-281. IEEE Comp. Soc. Press, août 2013.
@inproceedings{qest2013-BBLM,
  author =              {Bacci, Giorgio and Bacci, Giovanni and Larsen, Kim
                         Guldstrand and Mardare, Radu},
  title =               {The BisimDist Library: Efficient Computation of
                         Bisimilarity Distances for {M}arkovian Models},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {Q}uantitative {E}valuation of
                         {S}ystems ({QEST}'13)},
  acronym =             {{QEST}'13},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {278-281},
  year =                {2013},
  month =               aug,
  doi =                 {10.1007/978-3-642-40196-1_23},
}
[BBL+04] Gerd Behrmann, Patricia Bouyer, Kim Guldstrand Larsen et Radek Pelánek. Lower and Upper Bounds in Zone-Based Abstractions of Timed Automata. In TACAS'04, Lecture Notes in Computer Science 2988, pages 312-326. Springer-Verlag, mars 2004.
@inproceedings{tacas2004-BBLP,
  author =              {Behrmann, Gerd and Bouyer, Patricia and Larsen, Kim
                         Guldstrand and Pel{\'a}nek, Radek},
  title =               {Lower and Upper Bounds in Zone-Based Abstractions of
                         Timed Automata},
  editor =              {Jensen, Kurt and Podelski, Andreas},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'04)},
  acronym =             {{TACAS}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2988},
  pages =               {312-326},
  year =                {2004},
  month =               mar,
  doi =                 {10.1007/978-3-540-24730-2_25},
}
[BBL+06] Gerd Behrmann, Patricia Bouyer, Kim Guldstrand Larsen et Radek Pelánek. Lower and Upper Bounds in Zone-Based Abstractions of Timed Automata. International Journal on Software Tools for Technology Transfer 8(3):204-215. Springer-Verlag, juin 2006.
@article{sttt8(3)-BBLP,
  author =              {Behrmann, Gerd and Bouyer, Patricia and Larsen, Kim
                         Guldstrand and Pel{\'a}nek, Radek},
  title =               {Lower and Upper Bounds in Zone-Based Abstractions of
                         Timed Automata},
  publisher =           {Springer-Verlag},
  journal =             {International Journal on Software Tools for
                         Technology Transfer},
  volume =              {8},
  number =              {3},
  pages =               {204-215},
  year =                {2006},
  month =               jun,
  doi =                 {10.1007/s10009-005-0190-0},
}
[BBL+15] Nikola Beneš, Petr Bezdek, Kim Guldstrand Larsen et Jiří Srba. Language Emptiness of Continuous-Time Parametric Timed Automata. In ICALP'15, Lecture Notes in Computer Science 9135, pages 69-81. Springer-Verlag, juillet 2015.
@inproceedings{icalp2015-BBLS,
  author =              {Bene{\v{s}}, Nikola and Bezdek, Petr and Larsen, Kim
                         Guldstrand and Srba, Ji{\v r}{\'\i}},
  title =               {Language Emptiness of Continuous-Time Parametric
                         Timed Automata},
  editor =              {Halld{\'o}rsson, Magn{\'u}s M. and Iwana, Kazuo and
                         Kobayashi, Naoki and Speckmann, Bettina},
  booktitle =           {{P}roceedings of the 42nd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'15)~-- Part~{II}},
  acronym =             {{ICALP}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9135},
  pages =               {69-81},
  year =                {2015},
  month =               jul,
  doi =                 {10.1007/978-3-662-47666-6_6},
}
[BBM06] Ramzi Ben Salah, Marius Bozga et Oded Maler. On Interleaving in Timed Automata. In CONCUR'06, Lecture Notes in Computer Science 4137, pages 465-476. Springer-Verlag, août 2006.
@inproceedings{concur2006-BBM,
  author =              {Ben{~}Salah, Ramzi and Bozga, Marius and Maler,
                         Oded},
  title =               {On Interleaving in Timed Automata},
  editor =              {Baier, {\relax Ch}ristel and Hermanns, Holger},
  booktitle =           {{P}roceedings of the 17th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'06)},
  acronym =             {{CONCUR}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4137},
  pages =               {465-476},
  year =                {2006},
  month =               aug,
}
[BBM06] Patricia Bouyer, Thomas Brihaye et Nicolas Markey. Improved Undecidability Results on Weighted Timed Automata. Information Processing Letters 98(5):188-194. Elsevier, juin 2006.
Résumé

In this paper, we improve two recent undecidability results of Brihaye, Bruyère and Raskin about weighted timed automata, an extension of timed automata with a cost variable. Our results rely on a new encoding of the two counters of a Minsky machine that only require three clocks and one stopwatch cost, while previous reductions required five clocks and one stopwatch cost.

@article{ipl98(5)-BBM,
  author =              {Bouyer, Patricia and Brihaye, {\relax Th}omas and
                         Markey, Nicolas},
  title =               {Improved Undecidability Results on Weighted Timed
                         Automata},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {98},
  number =              {5},
  pages =               {188-194},
  year =                {2006},
  month =               jun,
  doi =                 {10.1016/j.ipl.2006.01.012},
  abstract =            {In this paper, we improve two recent undecidability
                         results of Brihaye, Bruy{\`e}re and Raskin about
                         weighted timed automata, an extension of timed
                         automata with a cost variable. Our results rely on a
                         new encoding of the two counters of a Minsky machine
                         that only require three clocks and one stopwatch
                         cost, while previous reductions required five clocks
                         and one stopwatch cost.},
}
[BBM10] Patricia Bouyer, Romain Brenguier et Nicolas Markey. Nash Equilibria for Reachability Objectives in Multi-player Timed Games. In CONCUR'10, Lecture Notes in Computer Science 6269, pages 192-206. Springer-Verlag, septembre 2010.
Résumé

We propose a procedure for computing Nash equilibria in multi-player timed games with reachability objectives. Our procedure is based on the construction of a finite concurrent game, and on a generic characterization of Nash equilibria in (possibly infinite) concurrent games. Along the way, we use our characterization to compute Nash equilibria in finite concurrent games.

@inproceedings{concur2010-BBM,
  author =              {Bouyer, Patricia and Brenguier, Romain and Markey,
                         Nicolas},
  title =               {{N}ash Equilibria for Reachability Objectives in
                         Multi-player Timed Games},
  editor =              {Gastin, Paul and Laroussinie, Fran{\c c}ois},
  booktitle =           {{P}roceedings of the 21st {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'10)},
  acronym =             {{CONCUR}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6269},
  pages =               {192-206},
  year =                {2010},
  month =               sep,
  doi =                 {10.1007/978-3-642-15375-4_14},
  abstract =            {We propose a procedure for computing Nash equilibria
                         in multi-player timed games with reachability
                         objectives. Our procedure is based on the
                         construction of a finite concurrent game, and on a
                         generic characterization of Nash equilibria in
                         (possibly infinite) concurrent games. Along the way,
                         we~use our characterization to compute Nash
                         equilibria in finite concurrent games.},
}
[BBM10] Patricia Bouyer, Romain Brenguier et Nicolas Markey. Computing Equilibria in Two-Player Timed Games via Turn-Based Finite Games. In FORMATS'10, Lecture Notes in Computer Science 6246, pages 62-76. Springer-Verlag, septembre 2010.
Résumé

We study two-player timed games where the objectives of the two players are not opposite. We focus on the standard notion of Nash equilibrium and propose a series of transformations that builds two finite turn-based games out of a timed game, with a precise correspondence between Nash equilibria in the original and in final games. This provides us with an algorithm to compute Nash equilibria in two-player timed games for large classes of properties.

@inproceedings{formats2010-BBM,
  author =              {Bouyer, Patricia and Brenguier, Romain and Markey,
                         Nicolas},
  title =               {Computing Equilibria in Two-Player Timed Games
                         {\textit{via}}~Turn-Based Finite Games},
  editor =              {Chatterjee, Krishnendu and Henzinger, Thomas A.},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'10)},
  acronym =             {{FORMATS}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6246},
  pages =               {62-76},
  year =                {2010},
  month =               sep,
  doi =                 {10.1007/978-3-642-15297-9_7},
  abstract =            {We study two-player timed games where the objectives
                         of the two players are not opposite. We focus on the
                         standard notion of Nash equilibrium and propose a
                         series of transformations that builds two finite
                         turn-based games out of a timed game, with a precise
                         correspondence between Nash equilibria in the
                         original and in final games. This provides us with
                         an algorithm to compute Nash equilibria in
                         two-player timed games for large classes of
                         properties.},
}
[BBM18] A. R. Balasubramanian, Nathalie Bertrand et Nicolas Markey. Parameterized verification of synchronization in constrained reconfigurable broadcast networks. In TACAS'18 (Part II), Lecture Notes in Computer Science 10806, pages 38-54. Springer-Verlag, avril 2018.
Résumé

Reconfigurable broadcast networks provide a convenient formalism for modelling and reasoning about networks of mobile agents broadcasting messages to other agents following some (evolving) communication topology. The parameterized verification of such models aims at checking whether a given property holds irrespective of the initial configuration (number of agents, initial states and initial communication topology). We focus here on the synchronization property, asking whether all agents converge to a set of target states after some execution. This problem is known to be decidable in polynomial time when no constraints are imposed on the evolution of the communication topology (while it is undecidable for static broadcast networks).

In this paper we investigate how various constraints on reconfigurations affect the decidability and complexity of the synchronization problem. In particular, we show that when bounding the number of reconfigured links between two communications steps by a constant, synchronization becomes undecidable; on the other hand, synchronization remains decidable in PTIME when the bound grows with the number of agents.

@inproceedings{tacas2018-2-BBM,
  author =              {Balasubramanian, A. R. and Bertrand, Nathalie and
                         Markey, Nicolas},
  title =               {Parameterized verification of synchronization in
                         constrained reconfigurable broadcast networks},
  editor =              {Beyer, Dirk and Huisman, Marieke},
  booktitle =           {{P}roceedings of the 24th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'18)~-- {P}art~{II}},
  acronym =             {{TACAS}'18 (Part~{II})},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {10806},
  pages =               {38-54},
  year =                {2018},
  month =               apr,
  doi =                 {10.1007/978-3-319-89963-3_3},
  abstract =            {Reconfigurable broadcast networks provide a
                         convenient formalism for modelling and reasoning
                         about networks of mobile agents broadcasting
                         messages to other agents following some (evolving)
                         communication topology. The parameterized
                         verification of such models aims at checking whether
                         a given property holds irrespective of the initial
                         configuration (number of agents, initial states and
                         initial communication topology). We~focus here on
                         the \emph{synchronization property}, asking whether
                         all agents converge to a set of target states after
                         some execution. This~problem is known to be
                         decidable in polynomial time when no constraints are
                         imposed on the evolution of the communication
                         topology (while~it~is undecidable for static
                         broadcast networks).\par In this paper we
                         investigate how various constraints on
                         reconfigurations affect the decidability and
                         complexity of the synchronization problem.
                         In~particular, we show that when bounding the number
                         of reconfigured links between two communications
                         steps by a constant, synchronization becomes
                         undecidable; on~the other hand, synchronization
                         remains decidable in PTIME when the bound grows with
                         the number of agents.},
}
[BBM+15] Thomas Brihaye, Véronique Bruyère, Noëmie Meunier et Jean-François Raskin. Weak Subgame Perfect Equilibria and their Application to Quantitative Reachability. In CSL'15, Leibniz International Proceedings in Informatics 41, pages 504-518. Leibniz-Zentrum für Informatik, septembre 2015.
@inproceedings{csl2015-BBMR,
  author =              {Brihaye, {\relax Th}omas and Bruy{\`e}re,
                         V{\'e}ronique and Meunier, No{\"e}mie and Raskin,
                         Jean-Fran{\c c}ois},
  title =               {Weak Subgame Perfect Equilibria and their
                         Application to Quantitative Reachability},
  editor =              {Kreutzer, Stephan},
  booktitle =           {{P}roceedings of the 24th {EACSL} {A}nnual
                         {C}onference on {C}omputer {S}cience {L}ogic
                         ({CSL}'15)},
  acronym =             {{CSL}'15},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {41},
  pages =               {504-518},
  year =                {2015},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CSL.2015.504},
}
[BBM+11] Patricia Bouyer, Romain Brenguier, Nicolas Markey et Michael Ummels. Nash Equilibria in Concurrent Games with Büchi Objectives. In FSTTCS'11, Leibniz International Proceedings in Informatics 13, pages 375-386. Leibniz-Zentrum für Informatik, décembre 2011.
Résumé

We study the problem of the existence (and computation) of Nash equilibria in multi-player concurrent games with Büchi-definable objectives. First, when the objectives are Büchi conditions on the game, we prove that the existence problem can be solved in polynomial time. In a second part, we extend our technique to objectives defined by deterministic Büchi automata, and prove that the problem then becomes EXPTIME-complete. We prove PSPACE-completeness for the case where the Büchi automata are 1-weak.

@inproceedings{fsttcs2011-BBMU,
  author =              {Bouyer, Patricia and Brenguier, Romain and Markey,
                         Nicolas and Ummels, Michael},
  title =               {{N}ash Equilibria in Concurrent Games with
                         {B}{\"u}chi Objectives},
  editor =              {Chakraborty, Supratik and Kumar, Amit},
  booktitle =           {{P}roceedings of the 31st {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'11)},
  acronym =             {{FSTTCS}'11},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {13},
  pages =               {375-386},
  year =                {2011},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2011.375},
  abstract =            {We study the problem of the existence (and
                         computation) of Nash equilibria in multi-player
                         concurrent games with B{\"u}chi-definable
                         objectives. First, when the objectives are B{\"u}chi
                         conditions on the game, we prove that the existence
                         problem can be solved in polynomial time. In a
                         second part, we extend our technique to objectives
                         defined by deterministic B{\"u}chi automata, and
                         prove that the problem then becomes
                         EXPTIME-complete. We prove PSPACE-completeness for
                         the case where the B{\"u}chi automata are 1-weak.},
}
[BBM+12] Patricia Bouyer, Romain Brenguier, Nicolas Markey et Michael Ummels. Concurrent games with ordered objectives. In FoSSaCS'12, Lecture Notes in Computer Science 7213, pages 301-315. Springer-Verlag, mars 2012.
Résumé

We consider concurrent games played on graphs, in which each player has several qualitative (e.g. reachability or Büchi) objectives, and a preorder on these objectives (for instance the counting order, where the aim is to maximise the number of objectives that are fulfilled).

We study two fundamental problems in that setting: (1) the value problem, which aims at deciding the existence of a strategy that ensures a given payoff; (2) the Nash equilibrium problem, where we want to decide the existence of a Nash equilibrium (possibly with a condition on the payoffs). We characterise the exact complexities of these problems for several relevant preorders, and several kinds of objectives.

@inproceedings{fossacs2012-BBMU,
  author =              {Bouyer, Patricia and Brenguier, Romain and Markey,
                         Nicolas and Ummels, Michael},
  title =               {Concurrent games with ordered objectives},
  editor =              {Birkedal, Lars},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'12)},
  acronym =             {{FoSSaCS}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7213},
  pages =               {301-315},
  year =                {2012},
  month =               mar,
  doi =                 {10.1007/978-3-642-28729-9_20},
  abstract =            {We consider concurrent games played on graphs, in
                         which each player has several qualitative (e.g.
                         reachability or B{\"u}chi) objectives, and a
                         preorder on these objectives (for instance the
                         counting order, where the aim is to maximise the
                         number of objectives that are fulfilled).\par We
                         study two fundamental problems in that setting:
                         (1)~the \emph{value problem}, which aims at deciding
                         the existence of a strategy that ensures a given
                         payoff; (2)~the \emph{Nash equilibrium problem},
                         where we want to decide the existence of a Nash
                         equilibrium (possibly with a condition on the
                         payoffs). We characterise the exact complexities of
                         these problems for several relevant preorders, and
                         several kinds of objectives.},
}
[BBM+15] Patricia Bouyer, Romain Brenguier, Nicolas Markey et Michael Ummels. Pure Nash Equilibria in Concurrent Games. Logical Methods in Computer Science 11(2:9). Juin 2015.
Résumé

We study pure-strategy Nash equilibria in multiplayer concurrent games, for a variety of omega-regular objectives. For simple objectives (e.g. reachability, Büchi objectives), we transform the problem of deciding the existence of a Nash equilibrium in a given concurrent game into that of deciding the existence of a winning strategy in a turn-based two-player game (with a refined objective). We use that transformation to design algorithms for computing Nash equilibria, which in most cases have optimal worst-case complexity. For automata-defined objectives, we extend the above algorithms using a simulation relation which allows us to consider the product of the game with the automata defining the objectives. Building on previous algorithms for simple qualitative objectives, we define and study a semi-quantitative framework, where all players have several boolean objectives equipped with a preorder; a player may for instance want to satisfy all her objectives, or to maximise the number of objectives that she achieves. In most cases, we prove that the algorithms we obtain match the complexity of the problem they address.

@article{lmcs11(2)-BBMU,
  author =              {Bouyer, Patricia and Brenguier, Romain and Markey,
                         Nicolas and Ummels, Michael},
  title =               {Pure {N}ash Equilibria in Concurrent Games},
  journal =             {Logical Methods in Computer Science},
  volume =              {11},
  number =              {2:9},
  year =                {2015},
  month =               jun,
  doi =                 {10.2168/LMCS-11(2:9)2015},
  abstract =            {We study pure-strategy Nash equilibria in
                         multiplayer concurrent games, for a variety of
                         omega-regular objectives. For simple objectives
                         (e.g. reachability, B{\"u}chi objectives), we
                         transform the problem of deciding the existence of a
                         Nash equilibrium in a given concurrent game into
                         that of deciding the existence of a winning strategy
                         in a turn-based two-player game (with a refined
                         objective). We use that transformation to design
                         algorithms for computing Nash equilibria, which in
                         most cases have optimal worst-case complexity. For
                         automata-defined objectives, we extend the above
                         algorithms using a simulation relation which allows
                         us to consider the product of the game with the
                         automata defining the objectives. Building on
                         previous algorithms for simple qualitative
                         objectives, we define and study a semi-quantitative
                         framework, where all players have several boolean
                         objectives equipped with a preorder; a player may
                         for instance want to satisfy all her objectives, or
                         to maximise the number of objectives that she
                         achieves. In most cases, we prove that the
                         algorithms we obtain match the complexity of the
                         problem they address.},
}
[BBR04] Thomas Brihaye, Véronique Bruyère et Jean-François Raskin. Model-checking for weighted timed automata. In FORMATS-FTRTFT'04, Lecture Notes in Computer Science 3253, pages 277-292. Springer-Verlag, septembre 2004.
@inproceedings{formats2004-BBR,
  author =              {Brihaye, {\relax Th}omas and Bruy{\`e}re,
                         V{\'e}ronique and Raskin, Jean-Fran{\c c}ois},
  title =               {Model-checking for weighted timed automata},
  editor =              {Lakhnech, Yassine and Yovine, Sergio},
  booktitle =           {{P}roceedings of the {J}oint {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'04) and {F}ormal
                         {T}echniques in {R}eal-Time and {F}ault-Tolerant
                         {S}ystems ({FTRTFT}'04)},
  acronym =             {{FORMATS-FTRTFT}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3253},
  pages =               {277-292},
  year =                {2004},
  month =               sep,
}
[BBR05] Thomas Brihaye, Véronique Bruyère et Jean-François Raskin. On Optimal Timed Strategies. In FORMATS'05, Lecture Notes in Computer Science 3829, pages 49-64. Springer-Verlag, septembre 2005.
@inproceedings{formats2005-BBR,
  author =              {Brihaye, {\relax Th}omas and Bruy{\`e}re,
                         V{\'e}ronique and Raskin, Jean-Fran{\c c}ois},
  title =               {On Optimal Timed Strategies},
  editor =              {Pettersson, Paul and Yi, Wang},
  booktitle =           {{P}roceedings of the 3rd {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'05)},
  acronym =             {{FORMATS}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3829},
  pages =               {49-64},
  year =                {2005},
  month =               sep,
  doi =                 {10.1007/11603009_5},
}
[BBS01] Jiří Barnat, Luboš Brim et Jitka Stříbrná. Distributed LTL Model-Checking in SPIN. In SPIN'01, Lecture Notes in Computer Science 2057, pages 200-216. Springer-Verlag, mai 2001.
@inproceedings{spin2001-BBS,
  author =              {Barnat, Ji{\v r}{\'\i} and Brim, Lubo{\v s} and
                         St{\v r}{\'\i}brn{\'a}, Jitka},
  title =               {Distributed {LTL} Model-Checking in {SPIN}},
  editor =              {Dwyer, Matthew B.},
  booktitle =           {{P}roceedings of the 8th {I}nternational {SPIN}
                         {W}orkshop ({SPIN}'01)},
  acronym =             {{SPIN}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2057},
  pages =               {200-216},
  year =                {2001},
  month =               may,
}
[BC03] Marco Benedetti et Alessandro Cimatti. Bounded Model Checking for Past LTL. In TACAS'03, Lecture Notes in Computer Science 2619, pages 18-33. Springer-Verlag, avril 2003.
@inproceedings{tacas2003-BC,
  author =              {Benedetti, Marco and Cimatti, Alessandro},
  title =               {Bounded Model Checking for Past {LTL}},
  editor =              {Garavel, Hubert and Hatcliff, John},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'03)},
  acronym =             {{TACAS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2619},
  pages =               {18-33},
  year =                {2003},
  month =               apr,
}
[BC05] Patricia Bouyer et Fabrice Chevalier. On Conciseness of Extensions of Timed Automata. Journal of Automata, Languages and Combinatorics 10(4):393-405. 2005.
@article{jalc10(4)-BC,
  author =              {Bouyer, Patricia and Chevalier, Fabrice},
  title =               {On Conciseness of Extensions of Timed Automata},
  journal =             {Journal of Automata, Languages and Combinatorics},
  volume =              {10},
  number =              {4},
  pages =               {393-405},
  year =                {2005},
}
[BC06] Patricia Bouyer et Fabrice Chevalier. On the Control of Timed and Hybrid Systems. EATCS Bulletin 89:79-96. EATCS, juin 2006.
@article{eatcs-bull89()-BC,
  author =              {Bouyer, Patricia and Chevalier, Fabrice},
  title =               {On the Control of Timed and Hybrid Systems},
  publisher =           {EATCS},
  journal =             {EATCS Bulletin},
  volume =              {89},
  pages =               {79-96},
  year =                {2006},
  month =               jun,
}
[BC10] Luboš Brim et Jakub Chaloupka. Using Strategy Improvement to Stay Alive. Technical Report FIMU-RS-2010-03, Faculty of Informatics, Masaryk University, Brno, Czech Republic, mars 2010.
@techreport{FIMU-RS-2010-03-BC,
  author =              {Brim, Lubo{\v s} and Chaloupka, Jakub},
  title =               {Using Strategy Improvement to Stay Alive},
  number =              {FIMU-RS-2010-03},
  year =                {2010},
  month =               mar,
  institution =         {Faculty of Informatics, Masaryk University, Brno,
                         Czech Republic},
}
[BCC98] Sergey Berezin, Sérgio Vale Aguiar Campos et Edmund M. Clarke. Compositional Reasoning in Model Checking. In COMPOS'97, Lecture Notes in Computer Science 1536, pages 81-102. Springer-Verlag, 1998.
@inproceedings{compos1997-BCC,
  author =              {Berezin, Sergey and Campos, S{\'e}rgio Vale Aguiar
                         and Clarke, Edmund M.},
  title =               {Compositional Reasoning in Model Checking},
  editor =              {de Roever, Willem-Paul and Langmaack, Hans and
                         Pnueli, Amir},
  booktitle =           {{R}evised {L}ectures of the 1st {I}nternational
                         {S}ymposium on {C}ompositionality: {T}he
                         {S}ignificant {D}ifference ({COMPOS}'97)},
  acronym =             {{COMPOS}'97},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1536},
  pages =               {81-102},
  year =                {1998},
  confyear =            {1997},
  confmonth =           {9},
}
[BCC+03] Armin Biere, Alessandro Cimatti, Edmund M. Clarke, Ofer Strichman et Yunshan Zhu. Bounded Model Checking. In Marvin Zelkowitz (eds.), Highly Dependable Software, Advances in Computers 58, pages 117-148. Academic Press, 2003.
@incollection{AC58-BCCSZ,
  author =              {Biere, Armin and Cimatti, Alessandro and Clarke,
                         Edmund M. and Strichman, Ofer and Zhu, Yunshan},
  title =               {Bounded Model Checking},
  editor =              {Zelkowitz, Marvin},
  booktitle =           {Highly Dependable Software},
  publisher =           {Academic Press},
  series =              {Advances in Computers},
  volume =              {58},
  pages =               {117-148},
  chapter =             {3},
  year =                {2003},
}
[BCC+99] Armin Biere, Alessandro Cimatti, Edmund M. Clarke et Yunshan Zhu. Symbolic Model Checking without BDDs. In TACAS'99, Lecture Notes in Computer Science 1579, pages 193-207. Springer-Verlag, mars 1999.
@inproceedings{tacas1999-BCCZ,
  author =              {Biere, Armin and Cimatti, Alessandro and Clarke,
                         Edmund M. and Zhu, Yunshan},
  title =               {Symbolic Model Checking without {BDD}s},
  editor =              {Cleaveland, Rance},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'99)},
  acronym =             {{TACAS}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1579},
  pages =               {193-207},
  year =                {1999},
  month =               mar,
}
[BCD05] Patricia Bouyer, Fabrice Chevalier et Deepak D'Souza. Fault Diagnosis Using Timed Automata. In FoSSaCS'05, Lecture Notes in Computer Science 3441, pages 219-233. Springer-Verlag, avril 2005.
@inproceedings{fossacs2005-BCD,
  author =              {Bouyer, Patricia and Chevalier, Fabrice and D'Souza,
                         Deepak},
  title =               {Fault Diagnosis Using Timed Automata},
  editor =              {Sassone, Vladimiro},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'05)},
  acronym =             {{FoSSaCS}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3441},
  pages =               {219-233},
  year =                {2005},
  month =               apr,
  doi =                 {10.1007/978-3-540-31982-5_14},
}
[BCD+07] Gerd Behrmann, Agnès Cougnard, Alexandre David, Emmanuel Fleury, Kim Guldstrand Larsen et Didier Lime. UPPAAL-Tiga: Time for Playing Games!. In CAV'07, Lecture Notes in Computer Science 4590, pages 121-125. Springer-Verlag, juillet 2007.
@inproceedings{cav2007-BCDFLL,
  author =              {Behrmann, Gerd and Cougnard, Agn{\`e}s and David,
                         Alexandre and Fleury, Emmanuel and Larsen, Kim
                         Guldstrand and Lime, Didier},
  title =               {{UPPAAL-Tiga}: Time for Playing Games!},
  editor =              {Damm, Werner and Hermanns, Holger},
  booktitle =           {{P}roceedings of the 19th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'07)},
  acronym =             {{CAV}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4590},
  pages =               {121-125},
  year =                {2007},
  month =               jul,
}
[BCD+11] Luboš Brim, Jakub Chaloupka, Laurent Doyen, Raffaella Gentilini et Jean-François Raskin. Faster algorithms for mean-payoff games. Formal Methods in System Design 38(2):97-118. Springer-Verlag, avril 2011.
@article{fmsd38(2)-BCDGR,
  author =              {Brim, Lubo{\v s} and Chaloupka, Jakub and Doyen,
                         Laurent and Gentilini, Raffaella and Raskin,
                         Jean-Fran{\c c}ois},
  title =               {Faster algorithms for mean-payoff games},
  publisher =           {Springer-Verlag},
  journal =             {Formal Methods in System Design},
  volume =              {38},
  number =              {2},
  pages =               {97-118},
  year =                {2011},
  month =               apr,
  doi =                 {10.1007/s10703-010-0105-x},
}
[BCE+98] Jean-Jacques Borrelly, Ève Costemaniere, Bernard Espiau, Konstantinos Kapellos, Roger Pissard-Gibollet, Daniel Simon et Nicolas Turro. The ORCCAD Architecture. International Journal of Robotics Research 17(4):338-359. Avril 1998.
@article{ijrr17(4)-BCEKPST,
  author =              {Borrelly, Jean-Jacques and Costemaniere, {\`E}ve and
                         Espiau, Bernard and Kapellos, Konstantinos and
                         Pissard{-}Gibollet, Roger and Simon, Daniel and
                         Turro, Nicolas},
  title =               {The {ORCCAD} Architecture},
  journal =             {International Journal of Robotics Research},
  volume =              {17},
  number =              {4},
  pages =               {338-359},
  year =                {1998},
  month =               apr,
}
[BCF03] Harry Buhrman, Richard Chang et Lance Fortnow. One Bit of Advice. In STACS'03, Lecture Notes in Computer Science 2607, pages 547-558. Springer-Verlag, février 2003.
@inproceedings{stacs2003-BCF,
  author =              {Buhrman, Harry and Chang, Richard and Fortnow,
                         Lance},
  title =               {One Bit of Advice},
  editor =              {Alt, Helmut and Habib, Michel},
  booktitle =           {{P}roceedings of the 20th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'03)},
  acronym =             {{STACS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2607},
  pages =               {547-558},
  year =                {2003},
  month =               feb,
}
[BCF+04] Patricia Bouyer, Franck Cassez, Emmanuel Fleury et Kim Guldstrand Larsen. Optimal Strategies in Priced Timed Game Automata. In FSTTCS'04, Lecture Notes in Computer Science 3328, pages 148-160. Springer-Verlag, décembre 2004.
@inproceedings{fsttcs2004-BCFL,
  author =              {Bouyer, Patricia and Cassez, Franck and Fleury,
                         Emmanuel and Larsen, Kim Guldstrand},
  title =               {Optimal Strategies in Priced Timed Game Automata},
  editor =              {Lodaya, Kamal and Mahajan, Meena},
  booktitle =           {{P}roceedings of the 24th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'04)},
  acronym =             {{FSTTCS}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3328},
  pages =               {148-160},
  year =                {2004},
  month =               dec,
}
[BCF+04] Patricia Bouyer, Franck Cassez, Emmanuel Fleury et Kim Guldstrand Larsen. Optimal Strategies in Priced Timed Games. Research Report RS-04-4, Basic Research in Computer Science, Aalborg University, Denmark, février 2004.
@techreport{TR-brics04-4,
  author =              {Bouyer, Patricia and Cassez, Franck and Fleury,
                         Emmanuel and Larsen, Kim Guldstrand},
  title =               {Optimal Strategies in Priced Timed Games},
  number =              {RS-04-4},
  year =                {2004},
  month =               feb,
  institution =         {Basic Research in Computer Science, Aalborg
                         University, Denmark},
  type =                {Research Report},
}
[BCG88] Michael C. Browne, Edmund M. Clarke et Orna Grumberg. Characterizing Finite Kripke Structures in Propositional Temporal Logic. Theoretical Computer Science 59(1-2):115-131. Elsevier, juillet 1988.
@article{tcs59(1-2)-BCG,
  author =              {Browne, Michael C. and Clarke, Edmund M. and
                         Grumberg, Orna},
  title =               {Characterizing Finite {K}ripke Structures in
                         Propositional Temporal Logic},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {59},
  number =              {1-2},
  pages =               {115-131},
  year =                {1988},
  month =               jul,
}
[BCG+92] Samuel R. Buss, Stephen A. Cook, Vineet Gupta et Vijaya Ramachandran. An Optimal Parallel Algorithm for Formula Evaluation. SIAM Journal on Computing 21(4):755-780. Society for Industrial and Applied Math., août 1992.
@article{siamcomp21(4)-BCGR,
  author =              {Buss, Samuel R. and Cook, Stephen A. and Gupta,
                         Vineet and Ramachandran, Vijaya},
  title =               {An Optimal Parallel Algorithm for Formula
                         Evaluation},
  publisher =           {Society for Industrial and Applied Math.},
  journal =             {SIAM Journal on Computing},
  volume =              {21},
  number =              {4},
  pages =               {755-780},
  year =                {1992},
  month =               aug,
}
[BCH+11] Udi Boker, Krishnendu Chatterjee, Thomas A. Henzinger et Orna Kupferman. Temporal Specifications with Accumulative Values. In LICS'11, pages 43-52. IEEE Comp. Soc. Press, juin 2011.
@inproceedings{lics2011-BCHK,
  author =              {Boker, Udi and Chatterjee, Krishnendu and Henzinger,
                         Thomas A. and Kupferman, Orna},
  title =               {Temporal Specifications with Accumulative Values},
  booktitle =           {{P}roceedings of the 26th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'11)},
  acronym =             {{LICS}'11},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {43-52},
  year =                {2011},
  month =               jun,
  doi =                 {10.1109/LICS.2011.33},
}
[BCH+14] Udi Boker, Krishnendu Chatterjee, Thomas A. Henzinger et Orna Kupferman. Temporal Specifications with Accumulative Values. ACM Transactions on Computational Logic 15(4):27:1-27:25. ACM Press, août 2014.
@article{tocl15(4)-BCHK,
  author =              {Boker, Udi and Chatterjee, Krishnendu and Henzinger,
                         Thomas A. and Kupferman, Orna},
  title =               {Temporal Specifications with Accumulative Values},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {15},
  number =              {4},
  pages =               {27:1-27:25},
  year =                {2014},
  month =               aug,
  doi =                 {10.1145/2629686},
}
[BCK+01] Luboš Brim, Ivana Černa, Pavel Krčál et Radek Pelánek. Distributed LTL Model Checking Based on Negative Cycle Detection. In FSTTCS'01, Lecture Notes in Computer Science 2245, pages 96-107. Springer-Verlag, décembre 2001.
@inproceedings{fsttcs2001-BCKP,
  author =              {Brim, Lubo{\v s} and {\v{C}}erna, Ivana and
                         Kr{\v{c}}{\'a}l, Pavel and Pel{\'a}nek, Radek},
  title =               {Distributed {LTL} Model Checking Based on Negative
                         Cycle Detection},
  editor =              {Hariharan, Ramesh and Mukund, Madhavan and Vinay,
                         V.},
  booktitle =           {{P}roceedings of the 21st {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'01)},
  acronym =             {{FSTTCS}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2245},
  pages =               {96-107},
  year =                {2001},
  month =               dec,
}
[BCM05] Patricia Bouyer, Fabrice Chevalier et Nicolas Markey. On the Expressiveness of TPTL and MTL. In FSTTCS'05, Lecture Notes in Computer Science 3821, pages 432-443. Springer-Verlag, décembre 2005.
Résumé

TPTL and MTL are two classical timed extensions of LTL. In this paper, we positively answer a 15-year-old conjecture that TPTL is strictly more expressive than MTL. But we show that, surprisingly, the TPTL formula proposed by Alur and Henzinger for witnessing this conjecture can be expressed in MTL. More generally, we show that TPTL formulae using only the F modality can be translated into MTL.

@inproceedings{fsttcs2005-BCM,
  author =              {Bouyer, Patricia and Chevalier, Fabrice and Markey,
                         Nicolas},
  title =               {On the Expressiveness of {TPTL} and {MTL}},
  editor =              {Ramanujam, R. and Sen, Sandeep},
  booktitle =           {{P}roceedings of the 25th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'05)},
  acronym =             {{FSTTCS}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3821},
  pages =               {432-443},
  year =                {2005},
  month =               dec,
  doi =                 {10.1007/11590156_35},
  abstract =            {TPTL and MTL are two classical timed extensions of
                         LTL. In this paper, we positively answer a
                         15-year-old conjecture that TPTL is strictly more
                         expressive than MTL. But we show that, surprisingly,
                         the TPTL formula proposed by Alur and Henzinger for
                         witnessing this conjecture can be expressed in MTL.
                         More generally, we show that TPTL formulae using
                         only the \textbf{F} modality can be translated into
                         MTL.},
}
[BCM10] Patricia Bouyer, Fabrice Chevalier et Nicolas Markey. On the Expressiveness of TPTL and MTL. Information and Computation 208(2):97-116. Elsevier, février 2010.
Résumé

TPTL and MTL are two classical timed extensions of LTL. In this paper, we prove the 20-year-old conjecture that TPTL is strictly more expressive than MTL. But we show that, surprisingly, the TPTL formula proposed by Alur and Henzinger for witnessing this conjecture can be expressed in MTL. More generally, we show that TPTL formulae using only modality F can be translated into MTL.

@article{icomp208(2)-BCM,
  author =              {Bouyer, Patricia and Chevalier, Fabrice and Markey,
                         Nicolas},
  title =               {On the Expressiveness of {TPTL} and {MTL}},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {208},
  number =              {2},
  pages =               {97-116},
  year =                {2010},
  month =               feb,
  doi =                 {10.1016/j.ic.2009.10.004},
  abstract =            {TPTL and MTL are two classical timed extensions
                         of~LTL. In~this paper, we prove the 20-year-old
                         conjecture that TPTL is strictly more expressive
                         than~MTL. But we show that, surprisingly, the
                         TPTL~formula proposed by Alur and Henzinger for
                         witnessing this conjecture \emph{can} be expressed
                         in~MTL. More generally, we show that TPTL formulae
                         using only modality~F can be translated into~MTL.},
}
[BCM16] Patricia Bouyer, Maximilien Colange et Nicolas Markey. Symbolic Optimal Reachability in Weighted Timed Automata. In CAV'16, Lecture Notes in Computer Science 9779, pages 513-530. Springer-Verlag, juillet 2016.
Résumé

Weighted timed automata have been defined in the early 2000's for modelling resource-consumption or -allocation problems in real-time systems. Optimal reachability is decidable in weighted timed automata, and a symbolic forward algorithm has been developed to solve that problem. This algorithm uses so-called priced zones, an extension of standard zones with cost functions. In order to ensure termination, the algorithm requires clocks to be bounded. For unpriced timed automata, much work has been done to develop sound abstractions adapted to the forward exploration of timed automata, ensuring termination of the model-checking algorithm without bounding the clocks. In this paper, we take advantage of recent developments on abstractions for timed automata, and propose an algorithm allowing for symbolic analysis of all weighted timed automata, without requiring bounded clocks.

@inproceedings{cav2016-BCM,
  author =              {Bouyer, Patricia and Colange, Maximilien and Markey,
                         Nicolas},
  title =               {Symbolic Optimal Reachability in Weighted Timed
                         Automata},
  editor =              {Chaudhuri, Swarat and Farzan, Azadeh},
  booktitle =           {{P}roceedings of the 28th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'16)},
  acronym =             {{CAV}'16},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9779},
  pages =               {513-530},
  year =                {2016},
  month =               jul,
  doi =                 {10.1007/978-3-319-41528-4_28},
  url =                 {http://arxiv.org/abs/1602.00481},
  abstract =            {Weighted timed automata have been defined in the
                         early 2000's for modelling resource-consumption or
                         -allocation problems in real-time systems. Optimal
                         reachability is decidable in weighted timed
                         automata, and a symbolic forward algorithm has been
                         developed to solve that problem. This algorithm uses
                         so-called priced zones, an extension of standard
                         zones with cost functions. In order to ensure
                         termination, the algorithm requires clocks to be
                         bounded. For unpriced timed automata, much work has
                         been done to develop sound abstractions adapted to
                         the forward exploration of timed automata, ensuring
                         termination of the model-checking algorithm without
                         bounding the clocks. In this paper, we take
                         advantage of recent developments on abstractions for
                         timed automata, and propose an algorithm allowing
                         for symbolic analysis of all weighted timed
                         automata, without requiring bounded clocks.},
}
[BCM+92] Jerry R. Burch, Edmund M. Clarke, Kenneth L. McMillan, David L. Dill et L. J. Hwang. Symbolic model checking: 1020 states and beyond. Information and Computation 98(2):142-170. Academic Press, juin 1992.
@article{icomp98(2)-BCMDH,
  author =              {Burch, Jerry R. and Clarke, Edmund M. and McMillan,
                         Kenneth L. and Dill, David L. and Hwang, L. J.},
  title =               {Symbolic model checking: {\(10^{20}\)} states and
                         beyond},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {98},
  number =              {2},
  pages =               {142-170},
  year =                {1992},
  month =               jun,
}
[BCO+92] François Baccelli, Guy Cohen, Geert Jan Olsder et Jean-Pierre Quadrat. Shynchronization and Linearity. An Algebra For Discrete Event Systems. John Wiley & Sons, 1992.
@book{BCOQ-des2001,
  author =              {Baccelli, Fran{\c c}ois and Cohen, Guy and Olsder,
                         Geert Jan and Quadrat, Jean-Pierre},
  title =               {Shynchronization and Linearity. An Algebra For
                         Discrete Event Systems},
  publisher =           {John Wiley \& Sons},
  year =                {1992},
  url =                 {http://www-rocq.inria.fr/metalau/cohen/SED/book-online.html},
}
[BCZ99] Armin Biere, Edmund M. Clarke et Yunshan Zhu. Combining Local and Global Model Checking. In SMC'99, Electronic Notes in Theoretical Computer Science 23(2). Elsevier, juillet 1999.
@inproceedings{smc1999-BCZ,
  author =              {Biere, Armin and Clarke, Edmund M. and Zhu, Yunshan},
  title =               {Combining Local and Global Model Checking},
  editor =              {Cimatti, Alessandro and Grumberg, Orna},
  booktitle =           {{P}roceedings of the 1st {I}nternational {W}orkshop
                         on {S}ymbolic {M}odel {C}hecking ({SMC}'99)},
  acronym =             {{SMC}'99},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {23},
  number =              {2},
  year =                {1999},
  month =               jul,
}
[BD00] Béatrice Bérard et Catherine Dufourd. Timed Automata and Additive Clock Constraints. Information Processing Letters 75(1-2):1-7. Elsevier, juillet 2000.
@article{ipl75(1-2)-BD,
  author =              {B{\'e}rard, B{\'e}atrice and Dufourd, Catherine},
  title =               {Timed Automata and Additive Clock Constraints},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {75},
  number =              {1-2},
  pages =               {1-7},
  year =                {2000},
  month =               jul,
}
[BDF+04] Patricia Bouyer, Catherine Dufourd, Emmanuel Fleury et Antoine Petit. Updatable timed Automata. Theoretical Computer Science 321(2-3):291-345. Elsevier, août 2004.
@article{tcs321(2-3)-BDFP,
  author =              {Bouyer, Patricia and Dufourd, Catherine and Fleury,
                         Emmanuel and Petit, Antoine},
  title =               {Updatable timed Automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {321},
  number =              {2-3},
  pages =               {291-345},
  year =                {2004},
  month =               aug,
  doi =                 {10.1016/j.tcs.2004.04.003},
}
[BDG+17] Nathalie Bertrand, Miheer Dewaskar, Blaise Genest et Hugo Gimbert. Controlling a population. In CONCUR'17, Leibniz International Proceedings in Informatics 85, pages 12:1-12:16. Leibniz-Zentrum für Informatik, septembre 2017.
@inproceedings{concur2017-BDGG,
  author =              {Bertrand, Nathalie and Dewaskar, Miheer and Genest,
                         Blaise and Gimbert, Hugo},
  title =               {Controlling a population},
  editor =              {Meyer, Roland and Nestmann, Uwe},
  booktitle =           {{P}roceedings of the 28th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'17)},
  acronym =             {{CONCUR}'17},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {85},
  pages =               {12:1-12:16},
  year =                {2017},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CONCUR.2017.12},
}
[BDG+11] Thomas Brihaye, Laurent Doyen, Gilles Geeraerts, Joël Ouaknine, Jean-François Raskin et James Worrell. On Reachability for Hybrid Automata over Bounded Time. In ICALP'11, Lecture Notes in Computer Science 6756, pages 416-427. Springer-Verlag, juillet 2011.
@inproceedings{icalp2011(2)-BDGORW,
  author =              {Brihaye, {\relax Th}omas and Doyen, Laurent and
                         Geeraerts, Gilles and Ouaknine, Jo{\"e}l and Raskin,
                         Jean-Fran{\c c}ois and Worrell, James},
  title =               {On Reachability for Hybrid Automata over Bounded
                         Time},
  editor =              {Aceto, Luca and Henzinger, Monika and Sgall, Ji{\v
                         r}{\'\i}},
  booktitle =           {{P}roceedings of the 38th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'11)~-- Part~{II}},
  acronym =             {{ICALP}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6756},
  pages =               {416-427},
  year =                {2011},
  month =               jul,
}
[BDG+98] Béatrice Bérard, Volker Diekert, Paul Gastin et Antoine Petit. Characterization of the Expressive Power of Silent Transitions in Timed Automata. Fundamenta Informaticae 36(2-3):145-182. IOS Press, novembre 1998.
@article{fundi36(2-3)-BDGP,
  author =              {B{\'e}rard, B{\'e}atrice and Diekert, Volker and
                         Gastin, Paul and Petit, Antoine},
  title =               {Characterization of the Expressive Power of Silent
                         Transitions in Timed Automata},
  publisher =           {IOS Press},
  journal =             {Fundamenta Informaticae},
  volume =              {36},
  number =              {2-3},
  pages =               {145-182},
  year =                {1998},
  month =               nov,
}
[BDH+06] Dietmar Berwanger, Anuj Dawar, Paul Hunter et Stephan Kreutzer. DAG-Width and Parity Games. In STACS'06, Lecture Notes in Computer Science 3884, pages 524-536. Springer-Verlag, février 2006.
@inproceedings{stacs2006-BDHK,
  author =              {Berwanger, Dietmar and Dawar, Anuj and Hunter, Paul
                         and Kreutzer, Stephan},
  title =               {{DAG}-Width and Parity Games},
  editor =              {Durand, Bruno and Thomas, Wolfgang},
  booktitle =           {{P}roceedings of the 23rd {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'06)},
  acronym =             {{STACS}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3884},
  pages =               {524-536},
  year =                {2006},
  month =               feb,
  doi =                 {10.1007/11672142_43},
}
[BDJ+16] Thomas Brihaye, Benoît Delahaye, Loïg Jezequel, Nicolas Markey et Jiří Srba (eds.) Proceedings of the Cassting Workshop on Games for the Synthesis of Complex Systems (Cassting'16) and of the 3rd International Workshop on Synthesis of Complex Parameters (SynCoP'16). Electronic Proceedings in Theoretical Computer Science 220. Juillet 2016.
@proceedings{cassting-syncop2016-DJMS,
  title =               {{P}roceedings of the {C}assting Workshop on {G}ames
                         for the {S}ynthesis of {C}omplex {S}ystems
                         ({C}assting'16) and of the 3rd {I}nternational
                         {W}orkshop on {S}ynthesis of {C}omplex {P}arameters
                         ({S}yn{C}o{P}'16)},
  editor =              {Brihaye, {\relax Th}omas and Delahaye, Beno{\^\i}t
                         and Jezequel, Lo{\"\i}g and Markey, Nicolas and
                         Srba, Ji{\v r}{\'\i}},
  booktitle =           {{P}roceedings of the {C}assting Workshop on {G}ames
                         for the {S}ynthesis of {C}omplex {S}ystems
                         ({C}assting'16) and of the 3rd {I}nternational
                         {W}orkshop on {S}ynthesis of {C}omplex {P}arameters
                         ({S}yn{C}o{P}'16)},
  acronym =             {{C}assting{{\slash}}{S}yn{C}o{P}'16},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {220},
  year =                {2016},
  month =               jul,
  confyear =            {2016},
  confmonth =           {4},
  doi =                 {10.4204/EPTCS.220},
  url =                 {http://eptcs.web.cse.unsw.edu.au/
                         content.cgi?CASSTINGSynCoP2016},
}
[BDL04] Gerd Behrmann, Alexandre David et Kim Guldstrand Larsen. A Tutorial on Uppaal. In SFM-RT'04, Lecture Notes in Computer Science 3185, pages 200-236. Springer-Verlag, septembre 2004.
@inproceedings{sfm2004-BDL,
  author =              {Behrmann, Gerd and David, Alexandre and Larsen, Kim
                         Guldstrand},
  title =               {A~Tutorial on {U}ppaal},
  editor =              {Bernardo, Marco and Corradini, Flavio},
  booktitle =           {{F}ormal {M}ethods for the {D}esign of {R}eal-{T}ime
                         {S}ystems~--- {R}evised {L}ectures of the
                         {I}nternational {S}chool on {F}ormal {M}ethods for
                         the {D}esign of {C}omputer, {C}ommunication and
                         {S}oftware {S}ystems ({SFM-RT}'04)},
  acronym =             {{SFM-RT}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3185},
  pages =               {200-236},
  year =                {2004},
  month =               sep,
  doi =                 {10.1007/978-3-540-30080-9_7},
}
[BDL12] Benedikt Bollig, Normann Decker et Martin Leucker. Frequency Linear-time Temporal Logic. In TASE'12, pages 85-92. IEEE Comp. Soc. Press, juillet 2012.
@inproceedings{tase2012-BDL,
  author =              {Bollig, Benedikt and Decker, Normann and Leucker,
                         Martin},
  title =               {Frequency Linear-time Temporal Logic},
  editor =              {Margaria, Tiziana and Qiu, Zongyang and Yang,
                         Hongli},
  booktitle =           {{P}roceedings of the 6th {I}nternational {S}ymposium
                         on {T}heoretical {A}spects of {S}oftware
                         {E}ngineering ({TASE}'12)},
  acronym =             {{TASE}'12},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {85-92},
  year =                {2012},
  month =               jul,
  doi =                 {10.1109/TASE.2012.43},
}
[BDL+06] Gerd Behrmann, Alexandre David, Kim Guldstrand Larsen, John Håkansson, Paul Pettersson, Wang Yi et Martijn Hendriks. UPPAAL 4.0. In QEST'06, pages 125-126. IEEE Comp. Soc. Press, septembre 2006.
@inproceedings{qest2006-BDLHPYH,
  author =              {Behrmann, Gerd and David, Alexandre and Larsen, Kim
                         Guldstrand and H{\aa}kansson, John and Pettersson,
                         Paul and Yi, Wang and Hendriks, Martijn},
  title =               {UPPAAL~4.0},
  booktitle =           {{P}roceedings of the 3rd {I}nternational
                         {C}onference on {Q}uantitative {E}valuation of
                         {S}ystems ({QEST}'06)},
  acronym =             {{QEST}'06},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {125-126},
  year =                {2006},
  month =               sep,
  doi =                 {10.1109/QEST.2006.59},
}
[BDL+14] Peter Bulychev, Alexandre David, Kim Guldstrand Larsen et Guangyuan Li. Efficient Controller Synthesis for a fragment of MTL0,&infin. Acta Informatica 51(3-4):165-192. Springer-Verlag, juin 2014.
@article{acta51(3-4)-BDLL,
  author =              {Bulychev, Peter and David, Alexandre and Larsen, Kim
                         Guldstrand and Li, Guangyuan},
  title =               {Efficient Controller Synthesis for a fragment of
                         {{\(\textsf{MTL}_{0,\infty}\)}}},
  publisher =           {Springer-Verlag},
  journal =             {Acta Informatica},
  volume =              {51},
  number =              {3-4},
  pages =               {165-192},
  year =                {2014},
  month =               jun,
  doi =                 {10.1007/s00236-013-0189-z},
}
[BDL+12] Peter Bulychev, Alexandre David, Kim Guldstrand Larsen, Axel Legay, Guangyuan Li, Danny Bøgsted Poulsen et Amélie Stainer. Monitor-based statistical model checking for weighted metric temporal logic. In LPAR'12, Lecture Notes in Computer Science 7180, pages 168-182. Springer-Verlag, mars 2012.
@inproceedings{lpar2012-BDLLLPS,
  author =              {Bulychev, Peter and David, Alexandre and Larsen, Kim
                         Guldstrand and Legay, Axel and Li, Guangyuan and
                         Poulsen, Danny B{\o}gsted and Stainer, Am{\'e}lie},
  title =               {Monitor-based statistical model checking for
                         weighted metric temporal logic},
  editor =              {Bj{\o}rner, Nikolaj and Voronkov, Andrei},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onference {L}ogic {P}rogramming and {A}utomated
                         {R}easoning ({LPAR}'12)},
  acronym =             {{LPAR}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7180},
  pages =               {168-182},
  year =                {2012},
  month =               mar,
  doi =                 {10.1007/978-3-642-28717-6_15},
}
[BDL+12] Peter Bulychev, Alexandre David, Kim Guldstrand Larsen, Axel Legay, Marius Mikučionis et Danny Bøgsted Poulsen. Checking and Distributing Statistical Model Checking. In NFM'12, Lecture Notes in Computer Science 7226, pages 449-463. Springer-Verlag, avril 2012.
@inproceedings{nasaFM2012-BDLLMP,
  author =              {Bulychev, Peter and David, Alexandre and Larsen, Kim
                         Guldstrand and Legay, Axel and Miku{\v{c}}ionis,
                         Marius and Poulsen, Danny B{\o}gsted},
  title =               {Checking and Distributing Statistical Model
                         Checking},
  editor =              {Goodloe, Alwyn and Person, Suzette},
  booktitle =           {{P}roceedings of the 4th {NASA} {F}ormal {M}ethods
                         {S}ymposium ({NFM}'12)},
  acronym =             {{NFM}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7226},
  pages =               {449-463},
  year =                {2012},
  month =               apr,
}
[BDL+09] Thomas Brihaye, Arnaud Da Costa, François Laroussinie et Nicolas Markey. ATL with Strategy Contexts and Bounded Memory. In LFCS'09, Lecture Notes in Computer Science 5407, pages 92-106. Springer-Verlag, janvier 2009.
Résumé

We extend the alternating-time temporal logics ATL and ATL* with strategy contexts and memory constraints: the first extension make strategy quantifiers to not "forget" the strategies being executed by the other players. The second extension allows strategy quantifiers to restrict to memoryless or bounded-memory strategies.

We first consider expressiveness issues. We show that our logics can express important properties such as equilibria, and we formally compare them with other similar formalisms (ATL, ATL*, Game Logic, Strategy Logic, ...). We then address the problem of model-checking for our logics, providing a PSPACE algoritm for the sublogics involving only memoryless strategies and an EXPSPACE algorithm for the bounded-memory case.

@inproceedings{lfcs2009-BDLM,
  author =              {Brihaye, {\relax Th}omas and Da{~}Costa, Arnaud and
                         Laroussinie, Fran{\c c}ois and Markey, Nicolas},
  title =               {{ATL} with Strategy Contexts and Bounded Memory},
  editor =              {Artemov, Sergei N. and Nerode, Anil},
  booktitle =           {{P}roceedings of the {I}nternational {S}ymposium
                         {L}ogical {F}oundations of {C}omputer {S}cience
                         ({LFCS}'09)},
  acronym =             {{LFCS}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5407},
  pages =               {92-106},
  year =                {2009},
  month =               jan,
  doi =                 {10.1007/978-3-540-92687-0_7},
  abstract =            {We extend the alternating-time temporal logics ATL
                         and ATL\textsuperscript{*} with \emph{strategy
                         contexts} and \emph{memory constraints}: the first
                         extension make strategy quantifiers to not
                         {"}forget{"} the strategies being executed by the
                         other players. The second extension allows strategy
                         quantifiers to restrict to memoryless or
                         bounded-memory strategies.\par We first consider
                         expressiveness issues. We show that our logics can
                         express important properties such as equilibria, and
                         we formally compare them with other similar
                         formalisms (ATL, ATL\textsuperscript{*}, Game Logic,
                         Strategy Logic,~...). We~then address the problem of
                         model-checking for our logics, providing a PSPACE
                         algoritm for the sublogics involving only memoryless
                         strategies and an EXPSPACE algorithm for the
                         bounded-memory case.},
}
[BDL+97] Joshua Berman, Arthur Drisko, François Lemieux, Cristopher Moore et Denis Thérien. Circuit and Expressions with Non-Associative Gates. In CoCo'97, pages 193-203. IEEE Comp. Soc. Press, juin 1997.
@inproceedings{coco1997-BDLMT,
  author =              {Berman, Joshua and Drisko, Arthur and Lemieux,
                         Fran{\c c}ois and Moore, Cristopher and Th{\'e}rien,
                         Denis},
  title =               {Circuit and Expressions with Non-Associative Gates},
  booktitle =           {{P}roceedings of the 12th {A}nnual {IEEE}
                         {C}onference on {C}omputational {C}omplexity
                         ({CoCo}'97)},
  acronym =             {{CoCo}'97},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {193-203},
  year =                {1997},
  month =               jun,
}
[BDL+11] Gerd Behrmann, Alexandre David, Kim Guldstrand Larsen, Paul Pettersson et Wang Yi. Developing UPPAAL over 15 years. Software – Practice and Experience 41(2):133-142. IEEE Comp. Soc. Press, février 2011.
@article{spe41(2)-ADGPY,
  author =              {Behrmann, Gerd and David, Alexandre and Larsen, Kim
                         Guldstrand and Pettersson, Paul and Yi, Wang},
  title =               {Developing {UPPAAL} over 15~years},
  publisher =           {IEEE Comp. Soc. Press},
  journal =             {Software~-- Practice and Experience},
  volume =              {41},
  number =              {2},
  pages =               {133-142},
  year =                {2011},
  month =               feb,
}
[BDM+03] Patricia Bouyer, Deepak D'Souza, Parthasarathy Madhusudan et Antoine Petit. Timed Control with Partial Observability. In CAV'03, Lecture Notes in Computer Science 2725, pages 180-192. Springer-Verlag, juillet 2003.
@inproceedings{cav2003-BDMP,
  author =              {Bouyer, Patricia and D'Souza, Deepak and Madhusudan,
                         Parthasarathy and Petit, Antoine},
  title =               {Timed Control with Partial Observability},
  editor =              {Hunt, Jr, Warren A. and Somenzi, Fabio},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'03)},
  acronym =             {{CAV}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2725},
  pages =               {180-192},
  year =                {2003},
  month =               jul,
}
[BDM+09] Patricia Bouyer, Marie Duflot, Nicolas Markey et Gabriel Renault. Measuring Permissivity in Finite Games. In CONCUR'09, Lecture Notes in Computer Science 5710, pages 196-210. Springer-Verlag, septembre 2009.
Résumé

In this paper, we extend the classical notion of strategies in turn-based finite games by allowing several moves to be selected. We define and study a quantitative measure for permissivity of such strategies by assigning penalties when blocking transitions. We prove that for reachability objectives, most permissive strategies exist, can be chosen memoryless, and can be computed in polynomial time, while it is in NP∩coNP for discounted and mean penalties.

@inproceedings{concur2009-BDMR,
  author =              {Bouyer, Patricia and Duflot, Marie and Markey,
                         Nicolas and Renault, Gabriel},
  title =               {Measuring Permissivity in Finite Games},
  editor =              {Bravetti, Mario and Zavattaro, Gianluigi},
  booktitle =           {{P}roceedings of the 20th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'09)},
  acronym =             {{CONCUR}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5710},
  pages =               {196-210},
  year =                {2009},
  month =               sep,
  doi =                 {10.1007/978-3-642-04081-8_14},
  abstract =            {In this paper, we extend the classical notion of
                         strategies in turn-based finite games by allowing
                         several moves to be selected. We~define and study a
                         quantitative measure for permissivity of such
                         strategies by assigning penalties when blocking
                         transitions. We~prove that for reachability
                         objectives, most permissive strategies exist, can be
                         chosen memoryless, and can be computed in polynomial
                         time, while it is in
                         \(\textsf{NP}\cap\textsf{coNP}\) for discounted and
                         mean penalties.},
}
[BDR03] Véronique Bruyère, Emmanuel Dall'Olio et Jean-François Raskin. Durations, Parametric Model Checking in Timed Automata with Presburger Arithmetic. In STACS'03, Lecture Notes in Computer Science 2607, pages 687-698. Springer-Verlag, février 2003.
@inproceedings{stacs2003-BDR,
  author =              {Bruy{\`e}re, V{\'e}ronique and Dall'Olio, Emmanuel
                         and Raskin, Jean-Fran{\c c}ois},
  title =               {Durations, Parametric Model Checking in Timed
                         Automata with {P}resburger Arithmetic},
  editor =              {Alt, Helmut and Habib, Michel},
  booktitle =           {{P}roceedings of the 20th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'03)},
  acronym =             {{STACS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2607},
  pages =               {687-698},
  year =                {2003},
  month =               feb,
}
[BDS+09] Hans Bherer, Jules Desharnais et Richard St-Denis. Control of Parameterized Discrete Event Systems. Discrete Event Dynamic Systems 19(2):213-165. Kluwer Academic, juin 2009.
@article{deds19(2)-BDSD,
  author =              {Bherer, Hans and Desharnais, Jules and St-Denis,
                         Richard},
  title =               {Control of Parameterized Discrete Event Systems},
  publisher =           {Kluwer Academic},
  journal =             {Discrete Event Dynamic Systems},
  volume =              {19},
  number =              {2},
  pages =               {213-165},
  year =                {2009},
  month =               jun,
  doi =                 {10.1007/s10626-008-0040-9},
}
[Bea03] Danièle Beauquier. On probabilistic timed automata. Theoretical Computer Science 292(1):65-84. Elsevier, janvier 2003.
@article{tcs292(1)-Bea,
  author =              {Beauquier, Dani{\`e}le},
  title =               {On~probabilistic timed automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {292},
  number =              {1},
  pages =               {65-84},
  year =                {2003},
  month =               jan,
  doi =                 {10.1016/S0304-3975(01)00215-8},
}
[Bed01] Nicolas Bedon. Logic over Words on Denumerable Ordinals. Journal of Computer and System Sciences 63(3):394-431. Academic Press, novembre 2001.
@article{jcss63(3)-Bed,
  author =              {Bedon, Nicolas},
  title =               {Logic over Words on Denumerable Ordinals},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
  volume =              {63},
  number =              {3},
  pages =               {394-431},
  year =                {2001},
  month =               nov,
}
[BEG+15] Endre Boros, Khaled Elbassioni, Vladimir Gurvich et Kazuhisa Makino. Markov Decision Processes and Stochastic Games with Total Effective Payoff. In STACS'15, Leibniz International Proceedings in Informatics 30, pages 103-115. Leibniz-Zentrum für Informatik, mars 2015.
@inproceedings{stacs2015-BEGM,
  author =              {Boros, Endre and Elbassioni, Khaled and Gurvich,
                         Vladimir and Makino, Kazuhisa},
  title =               {{M}arkov Decision Processes and Stochastic Games
                         with Total Effective Payoff},
  editor =              {Mayr, Ernst W. and Ollinger, Nicolas},
  booktitle =           {{P}roceedings of the 32nd {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'15)},
  acronym =             {{STACS}'15},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {30},
  pages =               {103-115},
  year =                {2015},
  month =               mar,
  doi =                 {10.4230/LIPIcs.STACS.2015.103},
}
[Bei91] Richard Beigel. Bounded Queries to SAT and the Boolean Hierarchy. Theoretical Computer Science 84(2):199-223. Elsevier, 1991.
@article{tcs84(2)-Bei,
  author =              {Beigel, Richard},
  title =               {Bounded Queries to {SAT} and the {B}oolean
                         Hierarchy},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {84},
  number =              {2},
  pages =               {199-223},
  year =                {1991},
}
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@inproceedings{concur2018-BEK,
  author =              {Blondin, Michael and Esparza, Javier and Ku{\v
                         c}era, Anton{\'\i}n},
  title =               {Automatic Analysis of Expected Termination Time for
                         Population Protocols},
  editor =              {Schewe, Sven and Zhang, Lijun},
  booktitle =           {{P}roceedings of the 29th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'18)},
  acronym =             {{CONCUR}'18},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {118},
  pages =               {33:1-33:16},
  year =                {2018},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CONCUR.2018.33},
}
[Bel57] Richard Bellman. Dynamic Programming. Princeton University Press, 1957.
@book{DP-Bel,
  author =              {Bellman, Richard},
  title =               {Dynamic Programming},
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  year =                {1957},
}
[Bel58] Richard Bellman. On a Routing Problem. Quarterly of Applied Mathematics 16(1):87-90. 1958.
@article{qam16(1)-Bel,
  author =              {Bellman, Richard},
  title =               {On a Routing Problem},
  journal =             {Quarterly of Applied Mathematics},
  volume =              {16},
  number =              {1},
  pages =               {87-90},
  year =                {1958},
}
[Bel06] Houda Bel Mokadem. Vérification des propriétés temporisées des automates programmables industriels. Thèse de doctorat, Lab. Spécification & Vérification, ENS Cachan, France, Septembre 2006.
@phdthesis{phd-belmokadem,
  author =              {Bel{~}Mokadem, Houda},
  title =               {V{\'e}rification des propri{\'e}t{\'e}s
                         temporis{\'e}es des automates programmables
                         industriels},
  year =                {2006},
  month =               sep,
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {Th\`ese de doctorat},
}
[BEM96] Julian C. Bradfield, Javier Esparza et Angelika Mader. An effective tableau system for the linear time mu-calculus. In ICALP'96, Lecture Notes in Computer Science 1099, pages 98-109. Springer-Verlag, juillet 1996.
@inproceedings{icalp1996-BEM,
  author =              {Bradfield, Julian C. and Esparza, Javier and Mader,
                         Angelika},
  title =               {An effective tableau system for the linear time
                         mu-calculus},
  editor =              {Meyer auf der Heide, Friedhelm and Monien, Burkhard},
  booktitle =           {{P}roceedings of the 23rd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'96)},
  acronym =             {{ICALP}'96},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1099},
  pages =               {98-109},
  year =                {1996},
  month =               jul,
}
[Ber00] Gérard Berry. The foundations of Esterel. In Gordon D. Plotkin, Colin Stirling et Mads Tofte (eds.), Proof, Language, and Interaction – Essays in Honour of Robin Milner. MIT Press, 2000.
@incollection{PLI2000-Ber,
  author =              {Berry, G{\'e}rard},
  title =               {The foundations of {E}sterel},
  editor =              {Plotkin, Gordon D. and Stirling, Colin and Tofte,
                         Mads},
  booktitle =           {Proof, Language, and Interaction~-- Essays in Honour
                         of {R}obin {M}ilner},
  publisher =           {MIT Press},
  pages =               {425-454},
  year =                {2000},
}
[Bey01] Dirk Beyer. Rabbit: Verification of Real-Time Systems. In RT-TOOLS'01, pages 13-21. Août 2001.
@inproceedings{rttools2001-Bey,
  author =              {Beyer, Dirk},
  title =               {Rabbit: Verification of Real-Time Systems},
  editor =              {Pettersson, Paul and Yovine, Sergio},
  booktitle =           {{P}roceedings of the 1st {W}orkshop on {R}eal-Time
                         {T}ools ({RT-TOOLS}'01)},
  acronym =             {{RT-TOOLS}'01},
  pages =               {13-21},
  year =                {2001},
  month =               aug,
}
[BF09] Patricia Bouyer et Vojtěch Forejt. Reachability in Stochastic Timed Games. In ICALP'09, Lecture Notes in Computer Science 5556, pages 103-114. Springer-Verlag, juillet 2009.
@inproceedings{icalp2009-BF,
  author =              {Bouyer, Patricia and Forejt, Vojt{\v{e}}ch},
  title =               {Reachability in Stochastic Timed Games},
  editor =              {Albers, Susanne and Marchetti{-}Spaccamela Alberto
                         and Matias, Yossi and Nikoletseas, Sotiris and
                         Thomas, Wolfgang},
  booktitle =           {{P}roceedings of the 36th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'09)~-- Part~{II}},
  acronym =             {{ICALP}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5556},
  pages =               {103-114},
  year =                {2009},
  month =               jul,
}
[BF18] Ezio Bartocci et Yliès Falcone. Lectures on Runtime Verification. Lecture Notes in Computer Science 10457. Springer-Verlag, 2018.
@book{lectRV-BF18,
  title =               {Lectures on Runtime Verification},
  editor =              {Bartocci, Ezio and Falcone, Yli{\`e}s},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {10457},
  year =                {2018},
  doi =                 {10.1007/978-3-319-75632-5},
}
[BFA15] Umang Bhaskar, Lisa Fleischer et Elliot Anshelevich. A Stackelberg strategy for routing flow over time. Games and Economic Behavior 92:232-247. Juillet 2015.
@article{geb92()-BFA,
  author =              {Bhaskar, Umang and Fleischer, Lisa and Anshelevich,
                         Elliot},
  title =               {A~{S}tackelberg strategy for routing flow over time},
  journal =             {Games and Economic Behavior},
  volume =              {92},
  pages =               {232-247},
  year =                {2015},
  month =               jul,
  doi =                 {10.1016/j.geb.2013.09.004},
}
[BFD02] Alexander Bolotov, Michael J. Fischer et Clare Dixon. On the Relationship between ω-Automata and Temporal Logic Normal Forms. Journal of Logic and Computation 12(4):561-581. Oxford University Press, août 2002.
@article{jlc12(4)-BFD,
  author =              {Bolotov, Alexander and Fischer, Michael J. and
                         Dixon, Clare},
  title =               {On the Relationship between {\(\omega\)}-Automata
                         and Temporal Logic Normal Forms},
  publisher =           {Oxford University Press},
  journal =             {Journal of Logic and Computation},
  volume =              {12},
  number =              {4},
  pages =               {561-581},
  year =                {2002},
  month =               aug,
}
[BFF+20] Raphaël Berthon, Nathanaël Fijalkow, Emmanuel Filiot, Shibashis Guha, Bastien Maubert, Aniello Murano, Laureline Pinault, Sophie Pinchinat, Sasha Rubin et Olivier Serre. Alternating Tree Automata with Qualitative Semantics. Technical Report 2002-03664, arXiv, février 2020.
@techreport{arxiv2002.03664-BFFGMMPPRS,
  author =              {Berthon, Rapha{\"e}l and Fijalkow, Nathana{\"e}l and
                         Filiot, Emmanuel and Guha, Shibashis and Maubert,
                         Bastien and Murano, Aniello and Pinault, Laureline
                         and Pinchinat, Sophie and Rubin, Sasha and Serre,
                         Olivier},
  title =               {Alternating Tree Automata with Qualitative
                         Semantics},
  number =              {2002-03664},
  year =                {2020},
  month =               feb,
  institution =         {arXiv},
}
[BFF+21] Raphaël Berthon, Nathanaël Fijalkow, Emmanuel Filiot, Shibashis Guha, Bastien Maubert, Aniello Murano, Laureline Pinault, Sophie Pinchinat, Sasha Rubin et Olivier Serre. Alternating Tree Automata with Qualitative Semantics. ACM Transactions on Computational Logic 22(1):7:1-7:24. ACM Press, janvier 2021.
@article{tocl22(1)-BFFGMMPPRS,
  author =              {Berthon, Rapha{\"e}l and Fijalkow, Nathana{\"e}l and
                         Filiot, Emmanuel and Guha, Shibashis and Maubert,
                         Bastien and Murano, Aniello and Pinault, Laureline
                         and Pinchinat, Sophie and Rubin, Sasha and Serre,
                         Olivier},
  title =               {Alternating Tree Automata with Qualitative
                         Semantics},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {22},
  number =              {1},
  pages =               {7:1-7:24},
  year =                {2021},
  month =               jan,
  doi =                 {10.1145/3431860},
}
[BFF+11] Vittorio Bilò, Angelo Fanelli, Michele Flammini et Luca Moscardelli. Graphical congestion games. Algorithmica 61(2):274-297. Springer-Verlag, octobre 2011.
@article{alga61(2)-BFFM,
  author =              {Bil{\`o}, Vittorio and Fanelli, Angelo and Flammini,
                         Michele and Moscardelli, Luca},
  title =               {Graphical congestion games},
  publisher =           {Springer-Verlag},
  journal =             {Algorithmica},
  volume =              {61},
  number =              {2},
  pages =               {274-297},
  year =                {2011},
  month =               oct,
  doi =                 {10.1007/s00453-010-9417-x},
}
[BFH09] Felix Brandt, Felix Fischer et Markus Holzer. Symmetries and the complexity of pure Nash equilibrium. Journal of Computer and System Sciences 75(3):163-177. Elsevier, mai 2009.
@article{jcss75(3)-BFH,
  author =              {Brandt, Felix and Fischer, Felix and Holzer, Markus},
  title =               {Symmetries and the complexity of pure {N}ash
                         equilibrium},
  publisher =           {Elsevier},
  journal =             {Journal of Computer and System Sciences},
  volume =              {75},
  number =              {3},
  pages =               {163-177},
  year =                {2009},
  month =               may,
}
[BFH+03] Albert Benveniste, Éric Fabre, Stefan Haar et Claude Jard. Diagnosis of asynchronous discrete event systems: A net-unfolding approach. IEEE Transactions on Automatic Control 48(5):714-727. IEEE Comp. Soc. Press, 2003.
@article{tac48(5)-BFHJ,
  author =              {Benveniste, Albert and Fabre, {\'E}ric and Haar,
                         Stefan and Jard, Claude},
  title =               {Diagnosis of asynchronous discrete event systems:
                         A~net-unfolding approach},
  publisher =           {IEEE Comp. Soc. Press},
  journal =             {IEEE Transactions on Automatic Control},
  volume =              {48},
  number =              {5},
  pages =               {714-727},
  year =                {2003},
  doi =                 {10.1109/TAC.2003.811249},
}
[BFH+01] Gerd Behrmann, Ansgar Fehnker, Thomas Hune, Kim Guldstrand Larsen, Paul Pettersson et Judi Romijn. Efficient Guiding Towards Cost-Optimality in UPPAAL. In TACAS'01, Lecture Notes in Computer Science 2031, pages 174-188. Springer-Verlag, avril 2001.
@inproceedings{tacas2001-BFHLPR,
  author =              {Behrmann, Gerd and Fehnker, Ansgar and Hune, Thomas
                         and Larsen, Kim Guldstrand and Pettersson, Paul and
                         Romijn, Judi},
  title =               {Efficient Guiding Towards Cost-Optimality in UPPAAL},
  editor =              {Margaria, Tiziana and Yi, Wang},
  booktitle =           {{P}roceedings of the 7th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'01)},
  acronym =             {{TACAS}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2031},
  pages =               {174-188},
  year =                {2001},
  month =               apr,
}
[BFH+01] Gerd Behrmann, Ansgar Fehnker, Thomas Hune, Kim Guldstrand Larsen, Paul Pettersson, Judi Romijn et Frits Vaandrager. Minimum-Cost Reachability for Priced Timed Automata. In HSCC'01, Lecture Notes in Computer Science 2034, pages 147-161. Springer-Verlag, mars 2001.
@inproceedings{hscc2001-BFHLPRV,
  author =              {Behrmann, Gerd and Fehnker, Ansgar and Hune, Thomas
                         and Larsen, Kim Guldstrand and Pettersson, Paul and
                         Romijn, Judi and Vaandrager, Frits},
  title =               {Minimum-Cost Reachability for Priced Timed Automata},
  editor =              {Di{~}Benedetto, Maria Domenica and
                         Sangiovani{-}Vincentelli, Alberto L.},
  booktitle =           {{P}roceedings of the 4th {I}nternational {W}orkshop
                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'01)},
  acronym =             {{HSCC}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2034},
  pages =               {147-161},
  year =                {2001},
  month =               mar,
  doi =                 {10.1007/3-540-45351-2_15},
}
[BFL+10] Patricia Bouyer, Uli Fahrenberg, Kim Guldstrand Larsen et Nicolas Markey. Timed Automata with Observers under Energy Constraints. In HSCC'10, pages 61-70. ACM Press, avril 2010.
Résumé

In this paper, we study one-clock priced timed automata in which prices can grow linearly (dp/dt=k) or exponentially (dp/dt=kp), with discontinuous updates on edges. We propose EXPTIME algorithms to decide the existence of controllers that ensure existence of infinite runs or reachability of some goal location with non-negative observer value all along the run. These algorithms consist in computing the optimal delays that should be elapsed in each location along a run, so that the final observer value is maximized (and never goes below zero).

@inproceedings{hscc2010-BFLM,
  author =              {Bouyer, Patricia and Fahrenberg, Uli and Larsen, Kim
                         Guldstrand and Markey, Nicolas},
  title =               {Timed Automata with Observers under Energy
                         Constraints},
  editor =              {Johansson, Karl Henrik and Yi, Wang},
  booktitle =           {{P}roceedings of the 13th {I}nternational {W}orkshop
                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'10)},
  acronym =             {{HSCC}'10},
  publisher =           {ACM Press},
  pages =               {61-70},
  year =                {2010},
  month =               apr,
  doi =                 {10.1145/1755952.1755963},
  abstract =            {In this paper, we study one-clock priced timed
                         automata in which prices can grow linearly
                         (\(\frac{dp}{dt}=k\)) or exponentially
                         (\(\frac{dp}{dt}=kp\)), with discontinuous updates
                         on edges. We propose EXPTIME algorithms to decide
                         the existence of controllers that ensure existence
                         of infinite runs or reachability of some goal
                         location with non-negative observer value all along
                         the run. These algorithms consist in computing the
                         optimal delays that should be elapsed in each
                         location along a run, so that the final observer
                         value is maximized (and never goes below zero).},
}
[BFL+11] Patricia Bouyer, Uli Fahrenberg, Kim Guldstrand Larsen et Nicolas Markey. Quantitative analysis of real-time systems using priced timed automata. Communications of the ACM 54(9):78-87. ACM Press, septembre 2011.
Résumé

The problems of time-dependent behavior in general, and dynamic resource allocation in particular, pervade many aspects of modern life. Prominent examples range from reliability and efficient use of communication resources in a telecommunication network to the allocation of tracks in a continental railway network, from scheduling the usage of computational resources on a chip for durations of nano-seconds to the weekly, monthly, or longer-range reactive planning in a factory or a supply chain.

@article{cacm54(9)-BFLM,
  author =              {Bouyer, Patricia and Fahrenberg, Uli and Larsen, Kim
                         Guldstrand and Markey, Nicolas},
  title =               {Quantitative analysis of real-time systems using
                         priced timed automata},
  publisher =           {ACM Press},
  journal =             {Communications of the ACM},
  volume =              {54},
  number =              {9},
  pages =               {78-87},
  year =                {2011},
  month =               sep,
  doi =                 {10.1145/1995376.1995396},
  abstract =            {The problems of time-dependent behavior in general,
                         and dynamic resource allocation in particular,
                         pervade many aspects of modern life. Prominent
                         examples range from reliability and efficient use of
                         communication resources in a telecommunication
                         network to the allocation of tracks in a continental
                         railway network, from scheduling the usage of
                         computational resources on a chip for durations of
                         nano-seconds to the weekly, monthly, or longer-range
                         reactive planning in a factory or a supply chain.},
}
[BFL+18] Patricia Bouyer, Uli Fahrenberg, Kim Guldstrand Larsen, Nicolas Markey, Joël Ouaknine et James Worrell. Model Checking Real-Time Systems. In Edmund M. Clarke, Thomas A. Henzinger, Helmut Veith et Roderick Bloem (eds.), Handbook of Model Checking. Springer-Verlag, mai 2018.
Résumé

This chapter surveys timed automata as a formalism for model checking real-time systems. We begin with introducing the model, as an extension of finite-state automata with real-valued variables for measuring time. We then present the main model-checking results in this framework, and give a hint about some recent extensions (namely weighted timed automata and timed games).

@incollection{hmc2018-BFLMOW,
  author =              {Bouyer, Patricia and Fahrenberg, Uli and Larsen, Kim
                         Guldstrand and Markey, Nicolas and Ouaknine,
                         Jo{\"e}l and Worrell, James},
  title =               {Model Checking Real-Time Systems},
  editor =              {Clarke, Edmund M. and Henzinger, Thomas A. and
                         Veith, Helmut and Bloem, Roderick},
  booktitle =           {Handbook of Model Checking},
  publisher =           {Springer-Verlag},
  pages =               {1001-1046},
  chapter =             {29},
  year =                {2018},
  month =               may,
  doi =                 {10.1007/978-3-319-10575-8_29},
  abstract =            {This chapter surveys timed automata as a formalism
                         for model checking real-time systems. We begin with
                         introducing the model, as an extension of
                         finite-state automata with real-valued variables for
                         measuring time. We then present the main
                         model-checking results in this framework, and give a
                         hint about some recent extensions (namely weighted
                         timed automata and timed games).},
}
[BFL+08] Patricia Bouyer, Uli Fahrenberg, Kim Guldstrand Larsen, Nicolas Markey et Jiří Srba. Infinite Runs in Weighted Timed Automata with Energy Constraints. In FORMATS'08, Lecture Notes in Computer Science 5215, pages 33-47. Springer-Verlag, septembre 2008.
Résumé

We study the problems of existence and construction of infinite schedules for finite weighted automata and one-clock weighted timed automata, subject to boundary constraints on the accumulated weight. More specifically, we consider automata equipped with positive and negative weights on transitions and locations, corresponding to the production and consumption of some resource (e.g. energy). We ask the question whether there exists an infinite path for which the accumulated weight for any finite prefix satisfies certain constraints (e.g. remains between 0 and some given upper-bound). We also consider a game version of the above, where certain transitions may be uncontrollable.

@inproceedings{formats2008-BFLMS,
  author =              {Bouyer, Patricia and Fahrenberg, Uli and Larsen, Kim
                         Guldstrand and Markey, Nicolas and Srba, Ji{\v
                         r}{\'\i}},
  title =               {Infinite Runs in Weighted Timed Automata with Energy
                         Constraints},
  editor =              {Cassez, Franck and Jard, Claude},
  booktitle =           {{P}roceedings of the 6th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'08)},
  acronym =             {{FORMATS}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5215},
  pages =               {33-47},
  year =                {2008},
  month =               sep,
  doi =                 {10.1007/978-3-540-85778-5_4},
  abstract =            {We~study the problems of existence and construction
                         of infinite schedules for finite weighted automata
                         and one-clock weighted timed automata, subject to
                         boundary constraints on the accumulated weight. More
                         specifically, we~consider automata equipped with
                         positive and negative weights on transitions and
                         locations, corresponding to the production and
                         consumption of some resource (\emph{e.g.}~energy).
                         We~ask the question whether there exists an infinite
                         path for which the accumulated weight for any finite
                         prefix satisfies certain constraints
                         (\emph{e.g.}~remains between~\(0\) and some given
                         upper-bound). We~also consider a game version of the
                         above, where certain transitions may be
                         uncontrollable.},
}
[BFM15] Patricia Bouyer, Erwin Fang et Nicolas Markey. Permissive strategies in timed automata and games. In AVOCS'15, Electronic Communications of the EASST 72. European Association of Software Science and Technology, septembre 2015.
Résumé

Timed automata are a convenient framework for modelling and reasoning about real-time systems. While these models are now very well-understood, they do not offer a convenient way of taking timing imprecisions into account. Several solutions (e.g. parametric guard enlargement) have recently been proposed over the last ten years to take such imprecisions into account. In this paper, we propose a new approach for handling robust reachability, based on permissive strategies. While classical strategies propose to play an action at an exact point in time, permissive strategies return an interval of possible dates when to play the selected action. With such a permissive strategy, we associate a penalty, which is the inverse of the length of the proposed interval, and accumulates along the run. We show that in that setting, optimal strategies can be computed in polynomial time for one-clock timed automata.

@inproceedings{avocs2015-BFM,
  author =              {Bouyer, Patricia and Fang, Erwin and Markey,
                         Nicolas},
  title =               {Permissive strategies in timed automata and games},
  editor =              {Grov, Gudmund and Ireland, Andrew},
  booktitle =           {{P}roceedings of the 15th {I}nternational {W}orkshop
                         on {A}utomated {V}erification of {C}ritical
                         {S}ystems ({AVOCS}'15)},
  acronym =             {{AVOCS}'15},
  publisher =           {European Association of Software Science and
                         Technology},
  series =              {Electronic Communications of the EASST},
  volume =              {72},
  year =                {2015},
  month =               sep,
  doi =                 {10.14279/tuj.eceasst.72.1015},
  abstract =            {Timed automata are a convenient framework for
                         modelling and reasoning about real-time systems.
                         While these models are now very well-understood,
                         they do not offer a convenient way of taking timing
                         imprecisions into account. Several solutions (e.g.
                         parametric guard enlargement) have recently been
                         proposed over the last ten years to take such
                         imprecisions into account. In this paper, we propose
                         a new approach for handling robust reachability,
                         based on permissive strategies. While classical
                         strategies propose to play an action at an exact
                         point in time, permissive strategies return an
                         interval of possible dates when to play the selected
                         action. With such a permissive strategy, we
                         associate a penalty, which is the inverse of the
                         length of the proposed interval, and accumulates
                         along the run. We show that in that setting, optimal
                         strategies can be computed in polynomial time for
                         one-clock timed automata.},
}
[BFM23] Nathalie Bertrand, Hugo Francon et Nicolas Markey. Synchronizing words under LTL constraints. Information Processing Letters 182. Elsevier, août 2023.
Résumé

Synchronizing a (deterministic, finite-state) automaton is the problem of finding a sequence of actions to be played in the automaton in order to end up in the same state independently of the starting state. We consider synchronization with LTL constraints on the executions leading to synchronization, extending the results of [Petra Wolf. Synchronization under dynamic constraints. FSTTCS'20] by showing that the problem is PSPACE-complete for LTL as well as for restricted fragments (involving only modality F or G), while it is NP-complete for constraints expressed using only modality X.

@article{ipl182()-BFM,
  author =              {Bertrand, Nathalie and Francon, Hugo and Markey,
                         Nicolas},
  title =               {Synchronizing words under {LTL} constraints},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {182},
  year =                {2023},
  month =               aug,
  doi =                 {10.1016/j.ipl.2023.106392},
  abstract =            {Synchronizing a (deterministic, finite-state)
                         automaton is the problem of finding a sequence of
                         actions to be played in the automaton in order to
                         end up in the same state independently of the
                         starting state. We~consider synchronization
                         with~\textsf{LTL} constraints on the executions
                         leading to synchronization, extending the results
                         of~[Petra~Wolf. Synchronization under dynamic
                         constraints. FSTTCS'20] by~showing that the problem
                         is \textsf{PSPACE}-complete for~\textsf{LTL} as well
                         as for restricted fragments (involving only
                         modality~\textsf{F} or~\textsf{G}), while it is
                         \textsf{NP}-complete for constraints expressed using
                         only modality~\textsf{X}.},
}
[BFP+73] Manuel Blum, Robert W. Floyd, Vaughan R. Pratt, Ronald L. Rivest et Robert Endre Tarjan. Time Bounds for Selection. Journal of Computer and System Sciences 7(4):448-461. Academic Press, août 1973.
@article{jcss7(4)-BFPRT,
  author =              {Blum, Manuel and Floyd, Robert W. and Pratt, Vaughan
                         R. and Rivest, Ronald L. and Tarjan, Robert Endre},
  title =               {Time Bounds for Selection},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
  volume =              {7},
  number =              {4},
  pages =               {448-461},
  year =                {1973},
  month =               aug,
}
[BFS14] Nathalie Bertrand, Paulin Fournier et Arnaud Sangnier. Playing with Probabilities in Reconfigurable Broadcast Networks. In FoSSaCS'14, Lecture Notes in Computer Science 8412, pages 134-148. Springer-Verlag, avril 2014.
@inproceedings{fossacs2014-BFS,
  author =              {Bertrand, Nathalie and Fournier, Paulin and
                         Sangnier, Arnaud},
  title =               {Playing with Probabilities in Reconfigurable
                         Broadcast Networks},
  editor =              {Muscholl, Anca},
  booktitle =           {{P}roceedings of the 17th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'14)},
  acronym =             {{FoSSaCS}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8412},
  pages =               {134-148},
  year =                {2014},
  month =               apr,
  doi =                 {10.1007/978-3-642-54830-7_9},
}
[BFS15] Nathalie Bertrand, Paulin Fournier et Arnaud Sangnier. Distributed Local Strategies in Broadcast Networks. In CONCUR'15, Leibniz International Proceedings in Informatics 42, pages 44-57. Leibniz-Zentrum für Informatik, septembre 2015.
@inproceedings{concur2015-BFS,
  author =              {Bertrand, Nathalie and Fournier, Paulin and
                         Sangnier, Arnaud},
  title =               {Distributed Local Strategies in Broadcast Networks},
  editor =              {Aceto, Luca and de Frutos{-}Escrig, David},
  booktitle =           {{P}roceedings of the 26th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'15)},
  acronym =             {{CONCUR}'15},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {42},
  pages =               {44-57},
  year =                {2015},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CONCUR.2015.44},
}
[BG85] John P. Burgess et Yuri Gurevich. The Decision Problem for Linear Temporal Logic. Notre Dame Journal of Formal Logic 26(2):115-128. Avril 1985.
@article{ndjfl26(2)-BG,
  author =              {Burgess,John P. and Gurevich, Yuri},
  title =               {The Decision Problem for Linear Temporal Logic},
  journal =             {Notre Dame Journal of Formal Logic},
  volume =              {26},
  number =              {2},
  pages =               {115-128},
  year =                {1985},
  month =               apr,
}
[BG93] Orna Bernholtz et Orna Grumberg. Branching Time Temporal Logic and A m o r p H O u s Tree Automata. In CONCUR'93, Lecture Notes in Computer Science 715, pages 262-277. Springer-Verlag, août 1993.
@inproceedings{concur1993-BG,
  author =              {Bernholtz, Orna and Grumberg, Orna},
  title =               {Branching Time Temporal Logic and {{\(\mathcal{A}
                         \textup{m} \textbf{o} r \textsc{p} \mathcal{H}
                         \texttt{O} u \textbf{s}\)}} Tree Automata},
  editor =              {Best, Eike},
  booktitle =           {{P}roceedings of the 4th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'93)},
  acronym =             {{CONCUR}'93},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {715},
  pages =               {262-277},
  year =                {1993},
  month =               aug,
}
[BG99] Glenn Bruns et Patrice Godefroid. Model Checking Partial State Spaces with 3-Valued Temporal Logics. In CAV'99, Lecture Notes in Computer Science 1633, pages 274-287. Springer-Verlag, juillet 1999.
@inproceedings{cav1999-BG,
  author =              {Bruns, Glenn and Godefroid, Patrice},
  title =               {Model Checking Partial State Spaces with
                         {\(3\)}-Valued Temporal Logics},
  editor =              {Halbwachs, Nicolas and Peled, Doron A.},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'99)},
  acronym =             {{CAV}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1633},
  pages =               {274-287},
  year =                {1999},
  month =               jul,
}
[BG01] Glenn Bruns et Patrice Godefroid. Temporal Logic Query Checking (Extended Abstract). In LICS'01, pages 409-417. IEEE Comp. Soc. Press, juin 2001.
@inproceedings{lics2001-BG,
  author =              {Bruns, Glenn and Godefroid, Patrice},
  title =               {Temporal Logic Query Checking (Extended Abstract)},
  booktitle =           {{P}roceedings of the 16th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'01)},
  acronym =             {{LICS}'01},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {409-417},
  year =                {2001},
  month =               jun,
}
[BG02] Robert Baumgartner et Georg Gottlob. Propositional Default Logics made Easier: Computational Complexity of Model Checking. Theoretical Computer Science 289(1):591-627. Elsevier, octobre 2002.
@article{tcs289(1)-BG,
  author =              {Baumgartner, Robert and Gottlob, Georg},
  title =               {Propositional Default Logics made Easier:
                         Computational Complexity of Model Checking},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {289},
  number =              {1},
  pages =               {591-627},
  year =                {2002},
  month =               oct,
}
[BG03] Régis Barbanchon et Étienne Grandjean. The Minimal Logically-Defined NP-Complete Problem. In STACS'04, Lecture Notes in Computer Science 2996, pages 338-349. Springer-Verlag, mars 2003.
@inproceedings{stacs2004-BG,
  author =              {Barbanchon, R{\'e}gis and Grandjean, {\'E}tienne},
  title =               {The Minimal Logically-Defined {NP}-Complete Problem},
  editor =              {Diekert, Volker and Habib, Michel},
  booktitle =           {{P}roceedings of the 21st {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'04)},
  acronym =             {{STACS}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2996},
  pages =               {338-349},
  year =                {2003},
  month =               mar,
}
[BG04] Dietmar Berwanger et Erich Grädel. Fixed-Point Logics and Solitaire Games. Theory of Computing Systems 37(6):675-694. Springer-Verlag, décembre 2004.
@article{TCSyst37(6)-BG,
  author =              {Berwanger, Dietmar and Gr{\"a}del, Erich},
  title =               {Fixed-Point Logics and Solitaire Games},
  publisher =           {Springer-Verlag},
  journal =             {Theory of Computing Systems},
  volume =              {37},
  number =              {6},
  pages =               {675-694},
  year =                {2004},
  month =               dec,
  doi =                 {10.1007/s00224-004-1147-5},
}
[BG05] Dietmar Berwanger et Erich Grädel. Entanglement – A Measure for the Complexity of Directed Graphs with Applications to Logic and Games. In LPAR'04, Lecture Notes in Computer Science 3452, pages 209-223. Springer-Verlag, mars 2005.
@inproceedings{lpar2004-BG,
  author =              {Berwanger, Dietmar and Gr{\"a}del, Erich},
  title =               {Entanglement~-- {A}~Measure for the Complexity of
                         Directed Graphs with Applications to Logic and
                         Games},
  editor =              {Baader, Franz and Voronkov, Andrei},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference {L}ogic {P}rogramming and {A}utomated
                         {R}easoning ({LPAR}'04)},
  acronym =             {{LPAR}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3452},
  pages =               {209-223},
  year =                {2005},
  month =               mar,
}
[BG11] Nathalie Bertrand et Blaise Genest. Minimal Disclosure in Partially Observable Markov Decision Processes. In FSTTCS'11, Leibniz International Proceedings in Informatics 13, pages 411-422. Leibniz-Zentrum für Informatik, décembre 2011.
@inproceedings{fsttcs2011-BG,
  author =              {Bertrand, Nathalie and Genest, Blaise},
  title =               {Minimal Disclosure in {P}artially {O}bservable
                         {M}arkov {D}ecision {P}rocesses},
  editor =              {Chakraborty, Supratik and Kumar, Amit},
  booktitle =           {{P}roceedings of the 31st {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'11)},
  acronym =             {{FSTTCS}'11},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {13},
  pages =               {411-422},
  year =                {2011},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2011.411},
}
[BG13] Nils Bulling et Valentin Goranko. How to Be Both Rich and Happy: Combining Quantitative and Qualitative Strategic Reasoning about Multi-Player Games (Extended Abstract). In SR'13, Electronic Proceedings in Theoretical Computer Science 112, pages 33-41. Mars 2013.
@inproceedings{sr2013-BG,
  author =              {Bulling, Nils and Goranko, Valentin},
  title =               {How to Be Both Rich and Happy: Combining
                         Quantitative and Qualitative Strategic Reasoning
                         about Multi-Player Games (Extended Abstract)},
  booktitle =           {{P}roceedings of the 1st {I}nternational {W}orkshop
                         on {S}trategic {R}easoning ({SR}'13)},
  acronym =             {{SR}'13},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {112},
  pages =               {33-41},
  year =                {2013},
  month =               mar,
  doi =                 {10.4204/EPTCS.112.8},
}
[BGG17] Nathalie Bertrand, Blaise Genest et Hugo Gimbert. Qualitative Determinacy and Decidability of Stochastic Games with Signals. Journal of the ACM 64(5):33:1-33:48. ACM Press, octobre 2017.
@article{jacm64(5)-BGG,
  author =              {Bertrand, Nathalie and Genest, Blaise and Gimbert,
                         Hugo},
  title =               {Qualitative Determinacy and Decidability of
                         Stochastic Games with Signals},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {64},
  number =              {5},
  pages =               {33:1-33:48},
  year =                {2017},
  month =               oct,
  doi =                 {10.1145/3107926},
}
[BGH13] Olivier Bournez, Daniel S. Graça et Emmanuel Hainry. Computation with perturbed dynamical systems. Journal of Computer and System Sciences 79(5):714-724. Elsevier, août 2013.
@article{jcss79(5)-BGH,
  author =              {Bournez, Olivier and Gra{\c c}a, Daniel S. and
                         Hainry, Emmanuel},
  title =               {Computation with perturbed dynamical systems},
  publisher =           {Elsevier},
  journal =             {Journal of Computer and System Sciences},
  volume =              {79},
  number =              {5},
  pages =               {714-724},
  year =                {2013},
  month =               aug,
}
[BGH+09] Roderick Bloem, Karin Greimel, Thomas A. Henzinger et Barbara Jobstmann. Synthesizing robust systems. In FMCAD'09, pages 85-92. IEEE Comp. Soc. Press, novembre 2009.
@inproceedings{fmcad2009-BGHJ,
  author =              {Bloem, Roderick and Greimel, Karin and Henzinger,
                         Thomas A. and Jobstmann, Barbara},
  title =               {Synthesizing robust systems},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {F}ormal {M}ethods in
                         {C}omputer-{A}ided {D}esign ({FMCAD}'09)},
  acronym =             {{FMCAD}'09},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {85-92},
  year =                {2009},
  month =               nov,
}
[BGH+15] Thomas Brihaye, Gilles Geeraerts, Axel Haddad, Engel Lefaucheux et Benjamin Monmege. Simple priced timed games are not that simple. In FSTTCS'15, Leibniz International Proceedings in Informatics 45, pages 278-292. Leibniz-Zentrum für Informatik, décembre 2015.
@inproceedings{fsttcs2005-BGHLM,
  author =              {Brihaye, {\relax Th}omas and Geeraerts, Gilles and
                         Haddad, Axel and Lefaucheux, Engel and Monmege,
                         Benjamin},
  title =               {Simple priced timed games are not that simple},
  editor =              {Harsha, Prahladh and Ramalingam, G.},
  booktitle =           {{P}roceedings of the 35th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'15)},
  acronym =             {{FSTTCS}'15},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {45},
  pages =               {278-292},
  year =                {2015},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2015.278},
}
[BGH+17] Thomas Brihaye, Gilles Geeraerts, Axel Haddad et Benjamin Monmege. Pseudopolynomial iterative algorithm to solve total-payoff games and min-cost reachability game. Acta Informatica 54(1):85-125. Springer-Verlag, février 2017.
@article{acta54(1)-BGHM,
  author =              {Brihaye, {\relax Th}omas and Geeraerts, Gilles and
                         Haddad, Axel and Monmege, Benjamin},
  title =               {Pseudopolynomial iterative algorithm to solve
                         total-payoff games and min-cost reachability game},
  publisher =           {Springer-Verlag},
  journal =             {Acta Informatica},
  volume =              {54},
  number =              {1},
  pages =               {85-125},
  year =                {2017},
  month =               feb,
  doi =                 {10.1007/s00236-016-0276-z},
}
[BGI+01] Boaz Barak, Oded Goldreich, Rusell Impagliazzo, Steven Rudich, Amit Sahai, Salil Vadhan et Ke Yang. On the (Im)possibility of Obfuscating Programs. In CRYPTO'01, Lecture Notes in Computer Science 2139, pages 1-18. Springer-Verlag, août 2001.
@inproceedings{crypto2001-BGIRSVY,
  author =              {Barak, Boaz and Goldreich, Oded and Impagliazzo,
                         Rusell and Rudich, Steven and Sahai, Amit and
                         Vadhan, Salil and Yang, Ke},
  title =               {On the (Im)possibility of Obfuscating Programs},
  editor =              {Kilian, Joe},
  booktitle =           {{P}roceedings of the 21st {A}nnual {I}nternational
                         {C}ryptology {C}onference ({CRYPTO}'01)},
  acronym =             {{CRYPTO}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2139},
  pages =               {1-18},
  year =                {2001},
  month =               aug,
}
[BGI+01] Boaz Barak, Oded Goldreich, Rusell Impagliazzo, Steven Rudich, Amit Sahai, Salil Vadhan et Ke Yang. On the (Im)possibility of Obfuscating Programs. Research Report 01-057, Electronic Colloquium on Computational Complexity, août 2001.
@techreport{eccc2001-BGIRSVY,
  author =              {Barak, Boaz and Goldreich, Oded and Impagliazzo,
                         Rusell and Rudich, Steven and Sahai, Amit and
                         Vadhan, Salil and Yang, Ke},
  title =               {On the (Im)possibility of Obfuscating Programs},
  number =              {01-057},
  year =                {2001},
  month =               aug,
  institution =         {Electronic Colloquium on Computational Complexity},
  type =                {Research Report},
}
[BGK+96] Johan Bengtsson, W. O. David Griffioen, Kåre J. Kristoffersen, Kim Guldstrand Larsen, Fredrik Larsson, Paul Pettersson et Wang Yi. Verification of an Audio Protocol with Bus Collision Using Uppaal. In CAV'96, Lecture Notes in Computer Science 1102, pages 244-256. Springer-Verlag, juillet 1996.
@inproceedings{cav1996-BGKLLPY,
  author =              {Bengtsson, Johan and Griffioen, W. O. David and
                         Kristoffersen, K{\aa}re J. and Larsen, Kim
                         Guldstrand and Larsson, Fredrik and Pettersson, Paul
                         and Yi, Wang},
  title =               {Verification of an Audio Protocol with Bus Collision
                         Using {\scshape {U}ppaal}},
  editor =              {Alur, Rajeev and Henzinger, Thomas A.},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'96)},
  acronym =             {{CAV}'96},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1102},
  pages =               {244-256},
  year =                {1996},
  month =               jul,
}
[BGM14] Patricia Bouyer, Patrick Gardy et Nicolas Markey. Quantitative verification of weighted Kripke structures. In ATVA'14, Lecture Notes in Computer Science 8837, pages 64-80. Springer-Verlag, novembre 2014.
Résumé

Extending formal verification techniques to handle quantitative aspects, both for the models and for the properties to be checked, has become a central research topic over the last twenty years. Following several recent works, we study model checking for (one-dimensional) weighted Kripke structures with positive and negative weights, and temporal logics constraining the total and/or average weight. We prove decidability when only accumulated weight is constrained, while allowing average-weight constraints alone already is undecidable.

@inproceedings{atva2014-BGM,
  author =              {Bouyer, Patricia and Gardy, Patrick and Markey,
                         Nicolas},
  title =               {Quantitative verification of weighted {K}ripke
                         structures},
  editor =              {Cassez, Franck and Raskin, Jean-Fran{\c c}ois},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {S}ymposium on {A}utomated {T}echnology for
                         {V}erification and {A}nalysis ({ATVA}'14)},
  acronym =             {{ATVA}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8837},
  pages =               {64-80},
  year =                {2014},
  month =               nov,
  doi =                 {10.1007/978-3-319-11936-6_6},
  abstract =            {Extending formal verification techniques to handle
                         quantitative aspects, both for the models and for
                         the properties to be checked, has become a central
                         research topic over the last twenty years. Following
                         several recent works, we study model checking for
                         (one-dimensional) weighted Kripke structures with
                         positive and negative weights, and temporal logics
                         constraining the total and/or average weight. We
                         prove decidability when only accumulated weight is
                         constrained, while allowing average-weight
                         constraints alone already is undecidable.},
}
[BGM15] Patricia Bouyer, Patrick Gardy et Nicolas Markey. Weighted strategy logic with boolean goals over one-counter games. In FSTTCS'15, Leibniz International Proceedings in Informatics 45, pages 69-83. Leibniz-Zentrum für Informatik, décembre 2015.
Résumé

Strategy Logic is a powerful specification language for expressing non-zero-sum properties of multi-player games. SL conveniently extends the logic ATL with explicit quantification and assignment of strategies. In this paper, we consider games over one-counter automata, and a quantitative extension 1cSL of SL with assertions over the value of the counter. We prove two results: we first show that, if decidable, model checking the so-called Boolean-goal fragment of 1cSL has non-elementary complexity; we actually prove the result for the Boolean-goal fragment of SL over finite-state games, which was an open question in (Mogavero et al. Reasoning about strategies: On the model-checking problem. 2014). As a first step towards proving decidability, we then show that the Boolean-goal fragment of 1cSL over one-counter games enjoys a nice periodicity property.

@inproceedings{fsttcs2015-BGM,
  author =              {Bouyer, Patricia and Gardy, Patrick and Markey,
                         Nicolas},
  title =               {Weighted strategy logic with boolean goals over
                         one-counter games},
  editor =              {Harsha, Prahladh and Ramalingam, G.},
  booktitle =           {{P}roceedings of the 35th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'15)},
  acronym =             {{FSTTCS}'15},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {45},
  pages =               {69-83},
  year =                {2015},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2015.69},
  abstract =            {Strategy Logic is a powerful specification language
                         for expressing non-zero-sum properties of
                         multi-player games. SL conveniently extends the
                         logic ATL with explicit quantification and
                         assignment of strategies. In this paper, we consider
                         games over one-counter automata, and a quantitative
                         extension 1cSL of SL with assertions over the value
                         of the counter. We prove two results: we first show
                         that, if decidable, model checking the so-called
                         Boolean-goal fragment of 1cSL has non-elementary
                         complexity; we actually prove the result for the
                         Boolean-goal fragment of SL over finite-state games,
                         which was an open question in (Mogavero
                         \emph{et~al.} Reasoning about strategies: On the
                         model-checking problem. 2014). As a first step
                         towards proving decidability, we then show that the
                         Boolean-goal fragment of 1cSL over one-counter games
                         enjoys a nice periodicity property.},
}
[BGM16] Patricia Bouyer, Patrick Gardy et Nicolas Markey. On the semantics of Strategy Logic. Information Processing Letters 116(2):75-79. Elsevier, février 2016.
Résumé

We define and study a slight variation on the semantics of Strategy Logic: while in the classical semantics, all strategies are shifted during the evaluation of temporal modalities, we propose to only shift the strategies that have been assigned to a player, thus matching the intuition that we can assign the very same strategy to the players at different points in time. We prove that surprisingly, this renders the model-checking problem undecidable.

@article{ipl116(2)-BGM,
  author =              {Bouyer, Patricia and Gardy, Patrick and Markey,
                         Nicolas},
  title =               {On the semantics of Strategy Logic},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {116},
  number =              {2},
  pages =               {75-79},
  year =                {2016},
  month =               feb,
  doi =                 {10.1016/j.ipl.2015.10.004},
  abstract =            {We define and study a slight variation on the
                         semantics of Strategy Logic: while in the classical
                         semantics, all strategies are shifted during the
                         evaluation of temporal modalities, we propose to
                         only shift the strategies that have been assigned to
                         a player, thus matching the intuition that we can
                         assign the very same strategy to the players at
                         different points in time. We prove that
                         surprisingly, this renders the model-checking
                         problem undecidable.},
}
[BGM+08] Thomas Brihaye, Mohamed Ghannem, Nicolas Markey et Lionel Rieg. Good friends are hard to find!. In TIME'08, pages 32-40. IEEE Comp. Soc. Press, juin 2008.
Résumé

We focus on the problem of finding (the size of) a minimal winning coalition in a multi-player game. More precisely, we prove that deciding whether there is a winning coalition of size at most k is NP-complete, while deciding whether k is the optimal size is DP-complete. We also study different variants of our original problem: the function problem, where the aim is to effectively compute the coalition; more succinct encoding of the game; and richer families of winning objectives.

@inproceedings{time2008-BGMR,
  author =              {Brihaye, {\relax Th}omas and Ghannem, Mohamed and
                         Markey, Nicolas and Rieg, Lionel},
  title =               {Good friends are hard to find!},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {S}ymposium on {T}emporal {R}epresentation and
                         {R}easoning ({TIME}'08)},
  acronym =             {{TIME}'08},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {32-40},
  year =                {2008},
  month =               jun,
  doi =                 {10.1109/TIME.2008.10},
  abstract =            {We focus on the problem of finding (the~size of)
                         a~minimal winning coalition in a multi-player game.
                         More precisely, we~prove that deciding whether there
                         is a winning coalition of size at most~\(k\) is
                         NP-complete, while deciding whether \(k\) is the
                         optimal size is DP-complete. We~also study different
                         variants of our original problem: the function
                         problem, where the aim is to effectively compute the
                         coalition; more succinct encoding of the game; and
                         richer families of winning objectives.},
}
[BGM+18] Damien Busatto-Gaston, Benjamin Monmege et Pierre-Alain Reynier. Symbolic Approximation of Weighted Timed Games. In FSTTCS'18, Leibniz International Proceedings in Informatics 122, pages 28:1-28:16. Leibniz-Zentrum für Informatik, décembre 2018.
@inproceedings{fsttcs2018-BMR,
  author =              {Busatto-Gaston, Damien and Monmege, Benjamin and
                         Reynier, Pierre-Alain},
  title =               {Symbolic Approximation of Weighted Timed Games},
  editor =              {Ganguli, Sumit and Pandya, Paritosh K.},
  booktitle =           {{P}roceedings of the 38th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'18)},
  acronym =             {{FSTTCS}'18},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {122},
  pages =               {28:1-28:16},
  year =                {2018},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2018.28},
}
[BGM+18] Patricia Bouyer, Mauricio González, Nicolas Markey et Mickael Randour. Multi-weighted Markov Decision Processes with Reachability Objectives. In GandALF'18, Electronic Proceedings in Theoretical Computer Science 277, pages 250-264. Septembre 2018.
Résumé

In this paper, we are interested in the synthesis of schedulers in double-weighted Markov decision processes, which satisfy both a percentile constraint over a weighted reachability condition, and a quantitative constraint on the expected value of a random variable defined using a weighted reachability condition. This problem is inspired by the modelization of an electric-vehicle charging problem. We study the cartography of the problem, when one parameter varies, and show how a partial cartography can be obtained via two sequences of opimization problems. We discuss completeness and feasability of the method.

@inproceedings{gandalf2018-BGMR,
  author =              {Bouyer, Patricia and Gonz{\'a}lez, Mauricio and
                         Markey, Nicolas and Randour, Mickael},
  title =               {Multi-weighted Markov Decision Processes with
                         Reachability Objectives},
  editor =              {Orlandini, Andrea and Zimmermann, Martin},
  booktitle =           {{P}roceedings of the 9th {I}nternational {S}ymposium
                         on {G}ames, {A}utomata, {L}ogics and {F}ormal
                         {V}erification ({GandALF}'18)},
  acronym =             {{GandALF}'18},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {277},
  pages =               {250-264},
  year =                {2018},
  month =               sep,
  doi =                 {10.4204/EPTCS.277.18},
  abstract =            {In~this paper, we~are interested in the synthesis of
                         schedulers in double-weighted Markov decision
                         processes, which satisfy both a percentile
                         constraint over a weighted reachability condition,
                         and a quantitative constraint on the expected value
                         of a random variable defined using a weighted
                         reachability condition. This~problem is inspired by
                         the modelization of an electric-vehicle charging
                         problem. We study the cartography of the problem,
                         when one parameter varies, and show how a partial
                         cartography can be obtained via two sequences of
                         opimization problems. We~discuss completeness and
                         feasability of the method.},
}
[BGM+19] Damien Busatto-Gaston, Benjamin Monmege, Pierre-Alain Reynier et Ocan Sankur. Robust Controller Synthesis in Timed Büchi Automata: A Symbolic Approach. In CAV'19, Lecture Notes in Computer Science 11561, pages 572-590. Springer-Verlag, juillet 2019.
@inproceedings{cav2019-BMRS,
  author =              {Busatto-Gaston, Damien and Monmege, Benjamin and
                         Reynier, Pierre-Alain and Sankur, Ocan},
  title =               {Robust Controller Synthesis in Timed B{\"u}chi
                         Automata: A~Symbolic Approach},
  editor =              {Dillig, I{\c s}il and Ta{\c s}iran, Serdar},
  booktitle =           {{P}roceedings of the 31st {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'19)},
  acronym =             {{CAV}'19},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {11561},
  pages =               {572-590},
  year =                {2019},
  month =               jul,
  doi =                 {10.1007/978-3-030-25540-4_33},
}
[BGN+14] Thomas Brihaye, Gilles Geeraerts, Shankara Narayanan Krishna, Lakshmi Manasa, Benjamin Monmege et Ashutosh Trivedi. Adding negative prices to priced timed games. In CONCUR'14, Lecture Notes in Computer Science 8704, pages 560-575. Springer-Verlag, septembre 2014.
@inproceedings{concur2014-BGKMMT,
  author =              {Brihaye, {\relax Th}omas and Geeraerts, Gilles and
                         Narayanan Krishna, Shankara and Manasa, Lakshmi and
                         Monmege, Benjamin and Trivedi, Ashutosh},
  title =               {Adding negative prices to priced timed games},
  editor =              {Baldan, Paolo and Gorla, Daniele},
  booktitle =           {{P}roceedings of the 25th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'14)},
  acronym =             {{CONCUR}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8704},
  pages =               {560-575},
  year =                {2014},
  month =               sep,
  doi =                 {10.1007/978-3-662-44584-6_38},
}
[BGP96] Béatrice Bérard, Paul Gastin et Antoine Petit. Timed Automata with non Observable Actions: Expressive power and refinement. In STACS'96, Lecture Notes in Computer Science 1046, pages 257-268. Springer-Verlag, février 1996.
@inproceedings{stacs1996-BGP,
  author =              {B{\'e}rard, B{\'e}atrice and Gastin, Paul and Petit,
                         Antoine},
  title =               {Timed Automata with non Observable Actions:
                         Expressive power and refinement},
  editor =              {Puech, Claude and Reischuk, R{\"u}diger},
  booktitle =           {{P}roceedings of the 13th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'96)},
  acronym =             {{STACS}'96},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1046},
  pages =               {257-268},
  year =                {1996},
  month =               feb,
}
[BGS92] José Balcázar, Joaquim Gabarró et Miklós Sántha. Deciding bisimilarity is P-complete. Formal Aspects of Computing 4(1 supplement):638-648. Springer-Verlag, novembre 1992.
@article{fac4(1sup)-BGS,
  author =              {Balc{\'a}zar, Jos{\'e} and Gabarr{\'o}, Joaquim and
                         S{\'a}ntha, Mikl{\'o}s},
  title =               {Deciding bisimilarity is {P}-complete},
  publisher =           {Springer-Verlag},
  journal =             {Formal Aspects of Computing},
  volume =              {4},
  number =              {1 supplement},
  pages =               {638-648},
  year =                {1992},
  month =               nov,
}
[BGS14] Benedikt Bollig, Paul Gastin et Jana Schubert. Parameterized verification of communicating automata under context bounds. In RP'14, Lecture Notes in Computer Science 8762, pages 45-57. Springer-Verlag, septembre 2014.
@inproceedings{rp2014-BGS,
  author =              {Bollig, Benedikt and Gastin, Paul and Schubert,
                         Jana},
  title =               {Parameterized verification of communicating automata
                         under context bounds},
  editor =              {Ouaknine, Jo{\"e}l and Potapov, Igor and Worrell,
                         James},
  booktitle =           {{P}roceedings of the 8th {W}orkshop on
                         {R}eachability {P}roblems in {C}omputational
                         {M}odels ({RP}'14)},
  acronym =             {{RP}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8762},
  pages =               {45-57},
  year =                {2014},
  month =               sep,
  doi =                 {10.1007/978-3-319-11439-2_4},
}
[BGW01] Nikita Borisov, Ian Goldberg et Klaus W. Wagner. Intercepting Mobile Communications: The Insecurity of 802.11. In MOBICOM'01, pages 180-189. ACM Press, juillet 2001.
@inproceedings{mobicom2001-BGW,
  author =              {Borisov, Nikita and Goldberg, Ian and Wagner, Klaus
                         W.},
  title =               {Intercepting Mobile Communications: The Insecurity
                         of~{\(802.11\)}},
  booktitle =           {{P}roceedings of the 7th {A}nnual {I}nternational
                         {C}onference on {M}obile {C}omputing and
                         {N}etworking ({MOBICOM}'01)},
  acronym =             {{MOBICOM}'01},
  publisher =           {ACM Press},
  pages =               {180-189},
  year =                {2001},
  month =               jul,
}
[BH67] Manuel Blum et Carl Hewitt. Automata on a 2-Dimensional Tape. In FOCS'67, pages 155-160. IEEE Comp. Soc. Press, octobre 1967.
@inproceedings{focs1967-BH,
  author =              {Blum, Manuel and Hewitt, Carl},
  title =               {Automata on a 2-Dimensional Tape},
  booktitle =           {{P}roceedings of the 8th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'67)},
  acronym =             {{FOCS}'67},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {155-160},
  year =                {1967},
  month =               oct,
}
[BH81] Arthur J. Bernstein et Jr. Harter. Proving Real-Time Properties of Programs with Temporal Logic. In SOSP'81, Operating System Review 15(5), pages 1-11. ACM Press, décembre 1981.
@inproceedings{sosp1981-BH,
  author =              {Bernstein, Arthur J. and Harter, Paul K., Jr.},
  title =               {Proving Real-Time Properties of Programs with
                         Temporal Logic},
  booktitle =           {{P}roceedings of the 8th {ACM} {S}ymposium on
                         {O}perating {S}ystems {P}rinciples ({SOSP}'81)},
  acronym =             {{SOSP}'81},
  publisher =           {ACM Press},
  series =              {Operating System Review},
  volume =              {15},
  number =              {5},
  pages =               {1-11},
  year =                {1981},
  month =               dec,
}
[BH04] Anne Bergeron et Sylvie Hamel. From Cascade Decompositions to Bit-Vector Algorithms. Theoretical Computer Science 313(1):3-16. Elsevier, février 2004.
@article{tcs313(1)-BH,
  author =              {Bergeron, Anne and Hamel, Sylvie},
  title =               {From Cascade Decompositions to Bit-Vector
                         Algorithms},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {313},
  number =              {1},
  pages =               {3-16},
  year =                {2004},
  month =               feb,
}
[BH05] Dragan Bosnacki et Gerard J. Holzmann. Improving Spin's Partial-Order Reduction for Breadth-First Search. In SPIN'05, Lecture Notes in Computer Science 3639, pages 91-105. Springer-Verlag, avril 2005.
@inproceedings{spin2005-BH,
  author =              {Bosnacki, Dragan and Holzmann, Gerard J.},
  title =               {Improving {S}pin's Partial-Order Reduction for
                         Breadth-First Search},
  editor =              {Godefroid, Patrice},
  booktitle =           {{P}roceedings of the 12th {I}nternational {SPIN}
                         {W}orkshop ({SPIN}'05)},
  acronym =             {{SPIN}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3639},
  pages =               {91-105},
  year =                {2005},
  month =               apr,
  doi =                 {10.1007/11537328_10},
}
[BH06] Bernard Boigelot et Frédéric Herbreteau. The Power of Hybrid Acceleration. In CAV'06, Lecture Notes in Computer Science 4144, pages 438-451. Springer-Verlag, juillet 2006.
@inproceedings{cav2006-BH,
  author =              {Boigelot, Bernard and Herbreteau, Fr{\'e}d{\'e}ric},
  title =               {The Power of Hybrid Acceleration},
  editor =              {Ball, Thomas and Jones, Robert},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'06)},
  acronym =             {{CAV}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4144},
  pages =               {438-451},
  year =                {2006},
  month =               jul,
  doi =                 {10.1007/11817963_40},
}
[Bhe09] Hans Bherer. Controller Synthesis for Parameterized Discrete Event Systems. PhD thesis, Université Laval, Québec, Canada, 2009.
@phdthesis{bherer09,
  author =              {Bherer, Hans},
  title =               {Controller Synthesis for Parameterized Discrete
                         Event Systems},
  year =                {2009},
  school =              {Universit{\'e} Laval, Qu\'ebec, Canada},
}
[BHJ03] Bernard Boigelot, Frédéric Herbreteau et Sébastien Jodogne. Hybrid Acceleration using Real Vector Automata (extended abstract). In CAV'03, Lecture Notes in Computer Science 2725, pages 193-205. Springer-Verlag, juillet 2003.
@inproceedings{cav2003-BHJ,
  author =              {Boigelot, Bernard and Herbreteau, Fr{\'e}d{\'e}ric
                         and Jodogne, S{\'e}bastien},
  title =               {Hybrid Acceleration using Real Vector Automata
                         (extended abstract)},
  editor =              {Hunt, Jr, Warren A. and Somenzi, Fabio},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'03)},
  acronym =             {{CAV}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2725},
  pages =               {193-205},
  year =                {2003},
  month =               jul,
  doi =                 {10.1007/978-3-540-45069-6_19},
}
[BHJ03] Bernard Boigelot, Frédéric Herbreteau et Sébastien Jodogne. Hybrid Acceleration using Real Vector Automata. Technical Report 2003.18, Centre Fédéré en Vérification, Bruxelles, Belgium, 2003.
@techreport{TR-cfv0318,
  author =              {Boigelot, Bernard and Herbreteau, Fr{\'e}d{\'e}ric
                         and Jodogne, S{\'e}bastien},
  title =               {Hybrid Acceleration using Real Vector Automata},
  number =              {2003.18},
  year =                {2003},
  institution =         {Centre F\'ed\'er\'e en V\'erification, Bruxelles,
                         Belgium},
  type =                {Technical Report},
}
[BHJ+21] Patricia Bouyer, Léo Henry, Samy Jaziri, Thierry Jéron et Nicolas Markey. Diagnosing timed automata using timed markings. International Journal on Software Tools for Technology Transfer 23(2):229-253. Springer-Verlag, avril 2021.
Résumé

We consider the problems of efficiently diagnosing (and predicting) what did (and will) happen after a given sequence of observations of the execution of a partially-observable one-clock timed automaton. This is made difficult by the facts that timed automata are infinite-state systems, and that they can in general not be determinized.

We introduce timed markings as a formalism to keep track of the evolution of the set of reachable configurations over time. We show how timed markings can be used to efficiently represent the closure under silent transitions of such automata. We report on our implementation of this approach compared to the approach of [Tripakis, Fault diagnosis for timed automata, 2002], and provide some insight to a generalization of our approach to n-clock timed automata.

@article{sttt23(2)-BHJJM,
  author =              {Bouyer, Patricia and Henry, L{\'e}o and Jaziri, Samy
                         and J{\'e}ron, Thierry and Markey, Nicolas},
  title =               {Diagnosing timed automata using timed markings},
  publisher =           {Springer-Verlag},
  journal =             {International Journal on Software Tools for
                         Technology Transfer},
  volume =              {23},
  number =              {2},
  pages =               {229-253},
  year =                {2021},
  month =               apr,
  doi =                 {10.1007/s10009-021-00606-2},
  abstract =            {We~consider the problems of efficiently diagnosing
                         (and~predicting) what did (and~will) happen after a
                         given sequence of observations of the execution of a
                         partially-observable one-clock timed automaton. This
                         is made difficult by the facts that timed automata
                         are infinite-state systems, and that they can in
                         general not be determinized. \par We~introduce timed
                         markings as a formalism to keep track of the
                         evolution of the set of reachable configurations
                         over time. We show how timed markings can be used to
                         efficiently represent the closure under silent
                         transitions of such automata. We report on our
                         implementation of this approach compared to the
                         approach of [Tripakis, Fault diagnosis for timed
                         automata,~2002], and provide some insight to a
                         generalization of our approach to {{\(n\)}}-clock
                         timed automata.},
}
[BHK00] Steven Bradley, William Henderson et David Kendall. Using Timed Automata for Response Time Analysis and Distributed Real-Time Systems. In WRTP'99, pages 143-148. Pergamon Press, janvier 2000.
@inproceedings{wrtp1999-BHK,
  author =              {Bradley, Steven and Henderson, William and Kendall,
                         David},
  title =               {Using Timed Automata for Response Time Analysis and
                         Distributed Real-Time Systems},
  editor =              {Frigeri, Alceu Heinke and Halang, Wolfgang A. and
                         Son, Sang H.},
  booktitle =           {{P}roceedings of the 24th {IFAC}/{IFIP} {W}orkshop
                         on {R}eal-{T}ime {P}rogramming ({WRTP}'99)},
  acronym =             {{WRTP}'99},
  publisher =           {Pergamon Press},
  pages =               {143-148},
  year =                {2000},
  month =               jan,
  confyear =            {1999},
  confmonth =           {5},
}
[BHL14] Nathalie Bertrand, Serge Haddad et Engel Lefaucheux. Foundation of Diagnosis and Predictability in Probabilistic Systems. In FSTTCS'14, Leibniz International Proceedings in Informatics 29, pages 417-429. Leibniz-Zentrum für Informatik, décembre 2014.
@inproceedings{fsttcs2014-BHL,
  author =              {Bertrand, Nathalie and Haddad, Serge and Lefaucheux,
                         Engel},
  title =               {Foundation of Diagnosis and Predictability in
                         Probabilistic Systems},
  editor =              {Raman, Venkatesh and Suresh, S. P.},
  booktitle =           {{P}roceedings of the 34th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'14)},
  acronym =             {{FSTTCS}'14},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {29},
  pages =               {417-429},
  year =                {2014},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2014.417},
}
[BHL+22] Sougata Bose, Thomas A. Henzinger, Karoliina Lehtinen, Sven Schewe et Patrick Totzke. History-deterministic timed automata are not determinizable. In RP'22, Lecture Notes in Computer Science 13608, pages 67-76. Springer-Verlag, octobre 2022.
@inproceedings{rp2022-BHLST,
  author =              {Bose, Sougata and Henzinger, Thomas A. and Lehtinen,
                         Karoliina and Schewe, Sven and Totzke, Patrick},
  title =               {History-deterministic timed automata are not
                         determinizable},
  editor =              {Lin, Anthony W. and Zetzsche, Georg and Potapov,
                         Igor},
  booktitle =           {{P}roceedings of the 16th {W}orkshop on
                         {R}eachability {P}roblems in {C}omputational
                         {M}odels ({RP}'22)},
  acronym =             {{RP}'22},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {13608},
  pages =               {67-76},
  year =                {2022},
  month =               oct,
  doi =                 {10.1007/978-3-031-19135-0_5},
}
[BHM08] Aske Wiid Brekling, Michael R. Hansen et Jan Madsen. Models and formal verification of multiprocessor system-on-chips. Journal of Logic and Algebraic Programming 77(1-2):1-19. Elsevier, octobre 2008.
@article{jlap77(1-2)-BHM,
  author =              {Brekling, Aske Wiid and Hansen, Michael R. and
                         Madsen, Jan},
  title =               {Models and formal verification of multiprocessor
                         system-on-chips},
  publisher =           {Elsevier},
  journal =             {Journal of Logic and Algebraic Programming},
  volume =              {77},
  number =              {1-2},
  pages =               {1-19},
  year =                {2008},
  month =               oct,
}
[BHM14] Bernard Boigelot, Frédéric Herbreteau et Isabelle Mainz. Acceleration of Affine Hybrid Transformations. In ATVA'14, Lecture Notes in Computer Science 8837, pages 31-46. Springer-Verlag, novembre 2014.
@inproceedings{atva2014-BHM,
  author =              {Boigelot, Bernard and Herbreteau, Fr{\'e}d{\'e}ric
                         and Mainz, Isabelle},
  title =               {Acceleration of Affine Hybrid Transformations},
  editor =              {Cassez, Franck and Raskin, Jean-Fran{\c c}ois},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {S}ymposium on {A}utomated {T}echnology for
                         {V}erification and {A}nalysis ({ATVA}'14)},
  acronym =             {{ATVA}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8837},
  pages =               {31-46},
  year =                {2014},
  month =               nov,
  doi =                 {10.1007/978-3-319-11936-6_4},
}
[BHM17] Béatrice Bérard, Loïc Hélouët et John Mullins. Non-interference in partial order models. ACM Transactions on Embedded Computing Systems. ACM Press, 2017. À paraître.
@article{tecs-BHM,
  author =              {B{\'e}rard, B{\'e}atrice and H{\'e}lou{\"e}t,
                         Lo{\"\i}c and Mullins, John},
  title =               {Non-interference in partial order models},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Embedded Computing Systems},
  year =                {2017},
  note =                {To~appear},
}
[BHM+17] Patricia Bouyer, Piotr Hofman, Nicolas Markey, Mickael Randour et Martin Zimmermann. Bounding Average-energy Games. In FoSSaCS'17, Lecture Notes in Computer Science 10203, pages 179-195. Springer-Verlag, avril 2017.
Résumé

We consider average-energy games, where the goal is to minimize the long-run average of the accumulated energy. Decidability of average-energy games with a lower-bound constraint on the energy level (but no upper bound) is an open problem; in particular, there is no known upper bound on the memory that is required for winning strategies.

By reducing average-energy games with lower-bounded energy to infinite-state mean-payoff games and analyzing the frequency of low-energy configurations, we show an almost tight doubly-exponential upper bound on the necessary memory, and that the winner of average-energy games with lower-bounded energy can be determined in doubly-exponential time. We also prove EXPSPACE-hardness of this problem.

Finally, we consider multi-dimensional extensions of all types of average-energy games: without bounds, with only a lower bound, and with both a lower and an upper bound on the energy. We show that the fully-bounded version is the only case to remain decidable in multiple dimensions.

@inproceedings{fossacs2017-BHMRZ,
  author =              {Bouyer, Patricia and Hofman, Piotr and Markey,
                         Nicolas and Randour, Mickael and Zimmermann, Martin},
  title =               {Bounding Average-energy Games},
  editor =              {Esparza, Javier and Murawski, Andrzej},
  booktitle =           {{P}roceedings of the 20th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'17)},
  acronym =             {{FoSSaCS}'17},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {10203},
  pages =               {179-195},
  year =                {2017},
  month =               apr,
  doi =                 {10.1007/978-3-662-54458-7_11},
  abstract =            {We~consider average-energy games, where the goal is
                         to minimize the long-run average of the accumulated
                         energy. Decidability of average-energy games with a
                         lower-bound constraint on the energy level (but~no
                         upper bound) is an open problem; in~particular,
                         there is no known upper bound on the memory that is
                         required for winning strategies.\par By~reducing
                         average-energy games with lower-bounded energy to
                         infinite-state mean-payoff games and analyzing the
                         frequency of low-energy configurations, we~show an
                         almost tight doubly-exponential upper bound on the
                         necessary memory, and that the winner of
                         average-energy games with lower-bounded energy can
                         be determined in doubly-exponential time. We~also
                         prove EXPSPACE-hardness of this problem.\par
                         Finally, we~consider multi-dimensional extensions of
                         all types of average-energy games: without bounds,
                         with only a lower bound, and with both a lower and
                         an upper bound on the energy. We show that the
                         fully-bounded version is the only case to remain
                         decidable in multiple dimensions.},
}
[BHP+07] Thomas Brihaye, Thomas A. Henzinger, Vinayak S. Prabhu et Jean-François Raskin. Minimum-Time Reachability in Timed Games. In ICALP'07, Lecture Notes in Computer Science 4596, pages 825-837. Springer-Verlag, juillet 2007.
@inproceedings{icalp2007-BHPR,
  author =              {Brihaye, {\relax Th}omas and Henzinger, Thomas A.
                         and Prabhu, Vinayak S. and Raskin, Jean-Fran{\c
                         c}ois},
  title =               {Minimum-Time Reachability in Timed Games},
  editor =              {Arge, Lars and Cachin, Christian and Jurdzi{\'n}ski,
                         Tomasz and Tarlecki, Andrzej},
  booktitle =           {{P}roceedings of the 34th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'07)},
  acronym =             {{ICALP}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4596},
  pages =               {825-837},
  year =                {2007},
  month =               jul,
}
[BHR06] Patricia Bouyer, Serge Haddad et Pierre-Alain Reynier. Timed Unfoldings for Networks of Timed Automata. In ATVA'06, Lecture Notes in Computer Science 4218, pages 292-306. Springer-Verlag, octobre 2006.
@inproceedings{atva2006-BHR,
  author =              {Bouyer, Patricia and Haddad, Serge and Reynier,
                         Pierre-Alain},
  title =               {Timed Unfoldings for Networks of Timed Automata},
  editor =              {Graf, Susanne and Zhang, Wenhui},
  booktitle =           {{P}roceedings of the 4th {I}nternational {S}ymposium
                         on {A}utomated {T}echnology for {V}erification and
                         {A}nalysis ({ATVA}'06)},
  acronym =             {{ATVA}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4218},
  pages =               {292-306},
  year =                {2006},
  month =               oct,
  doi =                 {10.1007/11901914_23},
}
[BHR09] Patricia Bouyer, Serge Haddad et Pierre-Alain Reynier. Undecidability Results for Timed Automata with Silent Transitions. Fundamenta Informaticae 92(1-2):1-25. IOS Press, 2009.
@article{fundi92(1-2)-BHR,
  author =              {Bouyer, Patricia and Haddad, Serge and Reynier,
                         Pierre-Alain},
  title =               {Undecidability Results for Timed Automata with
                         Silent Transitions},
  publisher =           {IOS Press},
  journal =             {Fundamenta Informaticae},
  volume =              {92},
  number =              {1-2},
  pages =               {1-25},
  year =                {2009},
}
[BHR+02] Danièle Beauquier, Yoram Hirshfeld, Alexander Rabinovich et Anatol Slissenko. The Probablity Nesting Game. In EXPRESS'02, Electronic Notes in Theoretical Computer Science 68(2), pages 3-13. Elsevier, août 2002.
@inproceedings{express2002-BHRS,
  author =              {Beauquier, Dani{\`e}le and Hirshfeld, Yoram and
                         Rabinovich, Alexander and Slissenko, Anatol},
  title =               {The Probablity Nesting Game},
  editor =              {Nestmann, Uwe and Panangaden, Prakash},
  booktitle =           {{P}roceedings of the 9th {I}nternational {W}orkshop
                         on {E}xpressiveness in {C}oncurrency ({EXPRESS}'02)},
  acronym =             {{EXPRESS}'02},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {68},
  number =              {2},
  pages =               {3-13},
  year =                {2002},
  month =               aug,
}
[BHT07] Dirk Beyer, Thomas A. Henzinger et Grégory Théoduloz. Configurable Software Verification: Concretizing the Convergence of Model Checking and Program Analysis. In CAV'07, Lecture Notes in Computer Science 4590. Springer-Verlag, juillet 2007.
@inproceedings{cav2007-BHT,
  author =              {Beyer, Dirk and Henzinger, Thomas A. and
                         Th{\'e}oduloz, Gr{\'e}gory},
  title =               {Configurable Software Verification: Concretizing the
                         Convergence of Model Checking and Program Analysis},
  editor =              {Damm, Werner and Hermanns, Holger},
  booktitle =           {{P}roceedings of the 19th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'07)},
  acronym =             {{CAV}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4590},
  year =                {2007},
  month =               jul,
  doi =                 {10.1007/978-3-540-73368-3_51},
}
[BIL06] Marius Bozga, Radu Iosif et Yassine Lakhnech. Flat Parametric Counter Automata. Research Report TR-2005-15, Lab. VERIMAG, Grenoble, France, mars 2006.
@techreport{TR-verimag2005-15,
  author =              {Bozga, Marius and Iosif, Radu and Lakhnech, Yassine},
  title =               {Flat Parametric Counter Automata},
  number =              {TR-2005-15},
  year =                {2006},
  month =               mar,
  institution =         {Lab. VERIMAG, Grenoble, France},
  type =                {Research Report},
}
[BIL06] Marius Bozga, Radu Iosif et Yassine Lakhnech. Flat Parametric Counter Automata. In ICALP'06, Lecture Notes in Computer Science 4052, pages 577-588. Springer-Verlag, juillet 2006.
@inproceedings{icalp2006-BIL,
  author =              {Bozga, Marius and Iosif, Radu and Lakhnech, Yassine},
  title =               {Flat Parametric Counter Automata},
  editor =              {Bugliesi, Michele and Preneel, Bart and Sassone,
                         Vladimiro and Wegener, Ingo},
  booktitle =           {{P}roceedings of the 33rd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'06))~-- Part~{II}},
  acronym =             {{ICALP}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4052},
  pages =               {577-588},
  year =                {2006},
  month =               jul,
  doi =                 {10.1007/11787006_49},
}
[BIS90] David A. Mix Barrington, Neil Immerman et Howard Straubing. On Uniformity Within NC1. Journal of Computer and System Sciences 41(3):274-306. Academic Press, décembre 1990.
@article{jcss41(3)-BIS,
  author =              {Barrington, David A. Mix and Immerman, Neil and
                         Straubing, Howard},
  title =               {On Uniformity Within {{\(\mathit{NC}^1\)}}},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
  volume =              {41},
  number =              {3},
  pages =               {274-306},
  year =                {1990},
  month =               dec,
}
[BJ10] Nils Bulling et Wojciech Jamroga. Model Checking Agents with Memory Is Harder than It Seemed. In AAMAS'10, pages 633-640. International Foundation for Autonomous Agents and Multiagent Systems, mai 2010.
@inproceedings{aamas2010-BJ,
  author =              {Bulling, Nils and Jamroga, Wojciech},
  title =               {Model Checking Agents with Memory Is Harder than It
                         Seemed},
  editor =              {van der Hoek, Wiebe and Kaminka, Gal A. and
                         Lesp{\'e}rance, Yves and Luck, Michael and Sen,
                         Sandeep},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {A}utonomous {A}gents and
                         {M}ultiagent {S}ystems ({AAMAS}'10)},
  acronym =             {{AAMAS}'10},
  publisher =           {International Foundation for Autonomous Agents and
                         Multiagent Systems},
  pages =               {633-640},
  year =                {2010},
  month =               may,
}
[BJK10] Tomáš Brázdil, Petr Jančar et Antonín Kučera. Reachability Games on Extended Vector Addition Systems with States. In ICALP'10, Lecture Notes in Computer Science 6199, pages 478-489. Springer-Verlag, juillet 2010.
@inproceedings{icalp2010-BJK,
  author =              {Br{\'a}zdil, Tom{\'a}{\v s} and Jan{\v c}ar, Petr
                         and Ku{\v c}era, Anton{\'\i}n},
  title =               {Reachability Games on Extended Vector Addition
                         Systems with States},
  editor =              {Abramsky, Samson and Gavoille, Cyril and Kirchner,
                         Claude and Meyer auf der Heide, Friedhelm and
                         Spirakis, Paul G.},
  booktitle =           {{P}roceedings of the 37th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'10)~-- Part~{II}},
  acronym =             {{ICALP}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6199},
  pages =               {478-489},
  year =                {2010},
  month =               jul,
  doi =                 {10.1007/978-3-642-14162-1_40},
}
[BJK+05] Manfred Broy, Bengt Jonsson, Joost-Pieter Katoen, Martin Leucker et Alexander Pretschner. Model-Based Testing of Reactive Systems – Advanced lectures. Lecture Notes in Computer Science 3472. Springer-Verlag, 2005.
@book{mbt-bjklp,
  author =              {Broy, Manfred and Jonsson, Bengt and Katoen,
                         Joost-Pieter and Leucker, Martin and Pretschner,
                         Alexander},
  title =               {Model-Based Testing of Reactive Systems~-- Advanced
                         lectures},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3472},
  year =                {2005},
}
[BJL+10] Thomas Brihaye, Marc Jungers, Samson Lasaulce, Nicolas Markey et Ghassan Oreiby. Using Model Checking for Analyzing Distributed Power Control Problems. EURASIP Journal on Wireless Communications and Networking 2010(861472). Hindawi Publishing Corp., juin 2010.
Résumé

Model checking (MC) is a formal verification technique which has been known and still knows a resounding success in the computer science community. Realizing that the distributed power control (PC) problem can be modeled by a timed game between a given transmitter and its environment, the authors wanted to know whether this approach can be applied to distributed PC. It turns out that it can be applied successfully and allows one to analyze realistic scenarios including the case of discrete transmit powers and games with incomplete information. The proposed methodology is as follows. We state some objectives a transmitter-receiver pair would like to reach. The network is modeled by a game where transmitters are considered as timed automata interacting with each other. The objectives are then translated into timed alternating-time temporal logic formulae and MC is exploited to know whether the desired properties are verified and determine a winning strategy.

@article{jwcn2010(861472)-BJLMO,
  author =              {Brihaye, {\relax Th}omas and Jungers, Marc and
                         Lasaulce, Samson and Markey, Nicolas and Oreiby,
                         Ghassan},
  title =               {Using Model Checking for Analyzing Distributed Power
                         Control Problems},
  publisher =           {Hindawi Publishing Corp.},
  journal =             {EURASIP Journal on Wireless Communications and
                         Networking},
  volume =              {2010},
  number =              {861472},
  year =                {2010},
  month =               jun,
  doi =                 {10.1155/2010/861472},
  abstract =            {Model checking~(MC) is a formal verification
                         technique which has been known and still knows a
                         resounding success in the computer science
                         community. Realizing that the distributed power
                         control~(PC) problem can be modeled by a timed game
                         between a given transmitter and its environment, the
                         authors wanted to know whether this approach can be
                         applied to distributed~PC. It~turns out that it can
                         be applied successfully and allows one to analyze
                         realistic scenarios including the case of discrete
                         transmit powers and games with incomplete
                         information. The proposed methodology is as follows.
                         We state some objectives a transmitter-receiver pair
                         would like to reach. The network is modeled by a
                         game where transmitters are considered as timed
                         automata interacting with each other. The objectives
                         are then translated into timed alternating-time
                         temporal logic formulae and MC is exploited to know
                         whether the desired properties are verified and
                         determine a winning strategy.},
}
[BJL+98] Johan Bengtsson, Bengt Jonsson, Johan Lilius et Wang Yi. Partial-Order Reductions for Timed Systems. In CONCUR'98, Lecture Notes in Computer Science 1466, pages 485-500. Springer-Verlag, septembre 1998.
@inproceedings{concur1998-BJLY,
  author =              {Bengtsson, Johan and Jonsson, Bengt and Lilius,
                         Johan and Yi, Wang},
  title =               {Partial-Order Reductions for Timed Systems},
  editor =              {Sangiorgi, Davide and de Simone, Robert},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'98)},
  acronym =             {{CONCUR}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1466},
  pages =               {485-500},
  year =                {1998},
  month =               sep,
  doi =                 {10.1007/BFb0055643},
}
[BJM15] Patricia Bouyer, Samy Jaziri et Nicolas Markey. On the Value Problem in Weighted Timed Games. In CONCUR'15, Leibniz International Proceedings in Informatics 42, pages 311-324. Leibniz-Zentrum für Informatik, septembre 2015.
Résumé

A weighted timed game is a timed game with extra quantitative information representing e.g. energy consumption. Optimizing the cost for reaching a target is a natural question, which has been investigated for ten years. Existence of optimal strategies is known to be undecidable in general, and only very restricted classes of games have been described for which optimal cost and almost-optimal strategies can be computed.

In this paper, we show that the value problem is undecidable in general weighted timed games. The undecidability proof relies on that for the existence of optimal strategies and on a diagonalization construction recently designed in the context of quantitative temporal logics. We then provide an algorithm to compute arbitrary approximations of the value in a game, and almost-optimal strategies. The algorithm applies in a large subclass of weighted timed games, and is the first approximation scheme which is designed in the current context.

@inproceedings{concur2015-BJM,
  author =              {Bouyer, Patricia and Jaziri, Samy and Markey,
                         Nicolas},
  title =               {On~the Value Problem in Weighted Timed Games},
  editor =              {Aceto, Luca and de Frutos{-}Escrig, David},
  booktitle =           {{P}roceedings of the 26th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'15)},
  acronym =             {{CONCUR}'15},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {42},
  pages =               {311-324},
  year =                {2015},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CONCUR.2015.311},
  abstract =            {A~weighted timed game is a timed game with extra
                         quantitative information representing e.g. energy
                         consumption. Optimizing the cost for reaching a
                         target is a natural question, which has been
                         investigated for ten years. Existence of optimal
                         strategies is known to be undecidable in general,
                         and only very restricted classes of games have been
                         described for which optimal cost and almost-optimal
                         strategies can be computed.\par In this paper, we
                         show that the value problem is undecidable in
                         general weighted timed games. The undecidability
                         proof relies on that for the existence of optimal
                         strategies and on a diagonalization construction
                         recently designed in the context of quantitative
                         temporal logics. We then provide an algorithm to
                         compute arbitrary approximations of the value in a
                         game, and almost-optimal strategies. The algorithm
                         applies in a large subclass of weighted timed games,
                         and is the first approximation scheme which is
                         designed in the current context.},
}
[BJM17] Patricia Bouyer, Samy Jaziri et Nicolas Markey. On the determinization of timed systems. In FORMATS'17, Lecture Notes in Computer Science 10419, pages 25-41. Springer-Verlag, septembre 2017.
Résumé

We introduce a new formalism called automata over a timed domain which provides an adequate framework for the determinization of timed systems. In this formalism, determinization w.r.t. timed language is always possible at the cost of changing the timed domain. We give a condition for determinizability of automata over a timed domain without changing the timed domain, which allows us to recover several known determinizable classes of timed systems, such as strongly-non-zeno timed automata, integer-reset timed automata, perturbed timed automata, etc. Moreover in the case of timed automata this condition encompasses most determinizability conditions from the literature.

@inproceedings{formats2017-BJM,
  author =              {Bouyer, Patricia and Jaziri, Samy and Markey,
                         Nicolas},
  title =               {On the determinization of timed systems},
  editor =              {Abate, Alessandro and Geeraerts, Gilles},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'17)},
  acronym =             {{FORMATS}'17},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {10419},
  pages =               {25-41},
  year =                {2017},
  month =               sep,
  doi =                 {10.1007/978-3-319-65765-3_2},
  abstract =            {We introduce a new formalism called \emph{automata
                         over a timed domain} which provides an adequate
                         framework for the determinization of timed systems.
                         In~this formalism, determinization w.r.t. timed
                         language is always possible at the cost of changing
                         the timed domain. We~give a condition for
                         determinizability of automata over a timed domain
                         without changing the timed domain, which allows us
                         to recover several known determinizable classes of
                         timed systems, such as strongly-non-zeno timed
                         automata, integer-reset timed automata, perturbed
                         timed automata, etc. Moreover in the case of timed
                         automata this condition encompasses most
                         determinizability conditions from the literature.},
}
[BJM17] Patricia Bouyer, Vincent Jugé et Nicolas Markey. Courcelle's Theorem Made Dynamic. Technical Report 1702.05183, arXiv, février 2017.
Résumé

Dynamic complexity is concerned with updating the output of a problem when the input is slightly changed. We study the dynamic complexity of model checking a fixed monadic second-order formula over evolving subgraphs of a fixed maximal graph having bounded tree-width; here the subgraph evolves by losing or gaining edges (from the maximal graph). We show that this problem is in DynFO (with LOGSPACE precomputation), via a reduction to a Dyck reachability problem on an acyclic automaton.

@techreport{arxiv1702.05183-BJM,
  author =              {Bouyer, Patricia and Jug{\'e}, Vincent and Markey,
                         Nicolas},
  title =               {{C}ourcelle's Theorem Made Dynamic},
  number =              {1702.05183},
  year =                {2017},
  month =               feb,
  institution =         {arXiv},
  abstract =            {Dynamic complexity is concerned with updating the
                         output of a problem when the input is slightly
                         changed. We study the dynamic complexity of model
                         checking a fixed monadic second-order formula over
                         evolving subgraphs of a fixed maximal graph having
                         bounded tree-width; here the subgraph evolves by
                         losing or gaining edges (from the maximal graph).
                         We~show that this problem is in DynFO (with LOGSPACE
                         precomputation), via a reduction to a Dyck
                         reachability problem on an acyclic automaton.},
}
[BJM18] Patricia Bouyer, Samy Jaziri et Nicolas Markey. Efficient timed diagnosis using automata with timed domains. In RV'18, Lecture Notes in Computer Science 11237, pages 205-221. Springer-Verlag, novembre 2018.
Résumé

We consider the problems of efficiently diagnosing and predicting what did (or will) happen in a partially-observable one-clock timed automaton. We introduce timed sets as a formalism to keep track of the evolution of the reachable configurations over time, and use our previous work on automata over timed domains to build a candidate diagnoser for our timed automaton. We report on our implementation of this approach compared to the approach of [Tripakis, Fault diagnosis for timed autmata, 2002].

@inproceedings{rv2018-BJM,
  author =              {Bouyer, Patricia and Jaziri, Samy and Markey,
                         Nicolas},
  title =               {Efficient timed diagnosis using automata with timed
                         domains},
  editor =              {Colombo, Christian and Leucker, Martin},
  booktitle =           {{P}roceedings of the 18th {I}nternational {W}orkshop
                         on {R}untime {V}erification ({RV}'18)},
  acronym =             {{RV}'18},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {11237},
  pages =               {205-221},
  year =                {2018},
  month =               nov,
  doi =                 {10.1007/978-3-030-03769-7_12},
  abstract =            {We consider the problems of efficiently diagnosing
                         and predicting what did (or~will) happen in a
                         partially-observable one-clock timed automaton.
                         We~introduce timed sets as a formalism to keep track
                         of the evolution of the reachable configurations
                         over time, and use our previous work on automata
                         over timed domains to build a candidate diagnoser
                         for our timed automaton. We~report on our
                         implementation of this approach compared to the
                         approach of [Tripakis, Fault diagnosis for timed
                         autmata,~2002].},
}
[BJM+02] Marius Bozga, Hou Jianmin, Oded Maler et Sergio Yovine. Verification of Asynchronous Circuits using Timed Automata. In TPTS'02, Electronic Notes in Theoretical Computer Science 65(6), pages 47-59. Elsevier, avril 2002.
@inproceedings{tpts2002-BJMY,
  author =              {Bozga, Marius and Jianmin, Hou and Maler, Oded and
                         Yovine, Sergio},
  title =               {Verification of Asynchronous Circuits using Timed
                         Automata},
  editor =              {Asarin, Eugene and Maler, Oded and Yovine, Sergio},
  booktitle =           {{P}roceedings of the 1st {W}orkshop on {T}heory and
                         {P}ractice of {T}imed {S}ystems ({TPTS}'02)},
  acronym =             {{TPTS}'02},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {65},
  number =              {6},
  pages =               {47-59},
  year =                {2002},
  month =               apr,
}
[BJS09] Joakim Byg, Kenneth Yrke Jørgensen et Jiří Srba. TAPAAL: Editor, Simulator and Verifier of Timed-Arc Petri Nets. In ATVA'09, Lecture Notes in Computer Science 5799, pages 84-89. Springer-Verlag, octobre 2009.
@inproceedings{atva2009-BJS,
  author =              {Byg, Joakim and J{\o}rgensen, Kenneth Yrke and Srba,
                         Ji{\v r}{\'\i}},
  title =               {{TAPAAL}: Editor, Simulator and Verifier of
                         Timed-Arc {P}etri Nets},
  editor =              {Liu, Zhiming and Ravn, Anders P.},
  booktitle =           {{P}roceedings of the 7th {I}nternational {S}ymposium
                         on {A}utomated {T}echnology for {V}erification and
                         {A}nalysis ({ATVA}'09)},
  acronym =             {{ATVA}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5799},
  pages =               {84-89},
  year =                {2009},
  month =               oct,
  doi =                 {10.1007/978-3-642-04761-9_7},
}
[BJS+12] Nathalie Bertrand, Thierry Jéron, Amélie Stainer et Moez Krichen. Off-line test selection with test purposes for non-deterministic timed automata. Logical Methods in Computer Science 8(4). 2012.
@article{lmcs8(4)-BJSK,
  author =              {Bertrand, Nathalie and J{\'e}ron, Thierry and
                         Stainer, Am{\'e}lie and Krichen, Moez},
  title =               {Off-line test selection with test purposes for
                         non-deterministic timed automata},
  journal =             {Logical Methods in Computer Science},
  volume =              {8},
  number =              {4},
  year =                {2012},
  doi =                 {10.2168/LMCS-8(4:8)2012},
}
[BJV10] Jasper Berendsen, David N. Jansen et Frits Vaandrager. Fortuna: model checking priced probabilistic timed automata. In QEST'10, pages 273-281. IEEE Comp. Soc. Press, septembre 2010.
@inproceedings{qest2010-BJV,
  author =              {Berendsen, Jasper and Jansen, David N. and
                         Vaandrager, Frits},
  title =               {Fortuna: model checking priced probabilistic timed
                         automata},
  booktitle =           {{P}roceedings of the 7th {I}nternational
                         {C}onference on {Q}uantitative {E}valuation of
                         {S}ystems ({QEST}'10)},
  acronym =             {{QEST}'10},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {273-281},
  year =                {2010},
  month =               sep,
}
[BJW02] Julien Bernet, David Janin et Igor Walukiewicz. Permissive strategies: from parity games to safety games. RAIRO – Theoretical Informatics and Applications 36(3):261-275. EDP Sciences, 2002.
@article{rairo-tia36(3)-BJW,
  author =              {Bernet, Julien and Janin, David and Walukiewicz,
                         Igor},
  title =               {Permissive strategies: from parity games to safety
                         games},
  publisher =           {EDP Sciences},
  journal =             {RAIRO~-- Theoretical Informatics and Applications},
  volume =              {36},
  number =              {3},
  pages =               {261-275},
  year =                {2002},
}
[BK08] Christel Baier et Joost-Pieter Katoen. Principles of Model-Checking. MIT Press, mai 2008.
@book{PoMC2008-BK,
  author =              {Baier, {\relax Ch}ristel and Katoen, Joost-Pieter},
  title =               {Principles of Model-Checking},
  publisher =           {MIT Press},
  year =                {2008},
  month =               may,
}
[BK18] Marc Bagnol et Denis Kuperberg. Büchi Good-for-game Automata are Efficiently Recognizable. In FSTTCS'18, Leibniz International Proceedings in Informatics 122, pages 16:1-16:14. Leibniz-Zentrum für Informatik, décembre 2018.
@inproceedings{fsttcs2018-BK,
  author =              {Bagnol, Marc and Kuperberg, Denis},
  title =               {B{\"u}chi Good-for-game Automata are Efficiently
                         Recognizable},
  editor =              {Ganguli, Sumit and Pandya, Paritosh K.},
  booktitle =           {{P}roceedings of the 38th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'18)},
  acronym =             {{FSTTCS}'18},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {122},
  pages =               {16:1-16:14},
  year =                {2018},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2018.16},
}
[BKK11] Christel Baier, Joachim Klein et Sascha Klüppelholz. A Compositional Framework for Controller Synthesis. In CONCUR'11, Lecture Notes in Computer Science 6901, pages 512-527. Springer-Verlag, septembre 2011.
@inproceedings{concur2011-BKK,
  author =              {Baier, {\relax Ch}ristel and Klein, Joachim and
                         Kl{\"u}ppelholz, Sascha},
  title =               {A Compositional Framework for Controller Synthesis},
  editor =              {Katoen, Joost-Pieter and K{\"o}nig, Barbara},
  booktitle =           {{P}roceedings of the 22nd {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'11)},
  acronym =             {{CONCUR}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6901},
  pages =               {512-527},
  year =                {2011},
  month =               sep,
}
[BKK+14] Tomáš Brázdil, David Klaška, Antonín Kučera et Petr Novotný. Minimizing Running Costs in Consumption Systems. In CAV'14, Lecture Notes in Computer Science 8559, pages 457-472. Springer-Verlag, juillet 2014.
@inproceedings{cav2014-BKKN,
  author =              {Br{\'a}zdil, Tom{\'a}{\v s} and Kla{\v{s}}ka, David
                         and Ku{\v c}era, Anton{\'\i}n and Novotn{\'y}, Petr},
  title =               {Minimizing Running Costs in Consumption Systems},
  editor =              {Biere, Armin and Bloem, Roderick},
  booktitle =           {{P}roceedings of the 26th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'14)},
  acronym =             {{CAV}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8559},
  pages =               {457-472},
  year =                {2014},
  month =               jul,
}
[BKK+13] Udi Boker, Denis Kuperberg, Orna Kupferman et Michal Skrzypczak. Nondeterminism in the Presence of a Diverse or Unknown Future. In ICALP'13, Lecture Notes in Computer Science 7966, pages 89-100. Springer-Verlag, juillet 2013.
@inproceedings{icalp2013-BKKS,
  author =              {Boker, Udi and Kuperberg, Denis and Kupferman, Orna
                         and Skrzypczak, Michal},
  title =               {Nondeterminism in the Presence of a Diverse or
                         Unknown Future},
  editor =              {Fomin, Fedor V. and Freivalds, Rusins and
                         Kwiatkowska, Marta and Peleg, David},
  booktitle =           {{P}roceedings of the 40th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'13)~-- Part~{II}},
  acronym =             {{ICALP}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7966},
  pages =               {89-100},
  year =                {2013},
  month =               jul,
  doi =                 {10.1007/978-3-642-39212-2_11},
}
[BKL+20] Udi Boker, Denis Kuperberg, Karoliina Lehtinen et Michal Skrzypczak. On succinctness and recognisability of alternating good-for-games automata. In FSTTCS'20, Leibniz International Proceedings in Informatics 182, pages 41:1-41:13. Leibniz-Zentrum für Informatik, décembre 2020.
@inproceedings{fsttcs2020-BKLS,
  author =              {Boker, Udi and Kuperberg, Denis and Lehtinen,
                         Karoliina and Skrzypczak, Michal},
  title =               {On succinctness and recognisability of alternating
                         good-for-games automata},
  editor =              {Saxena, Nitin and Simon, Sunil},
  booktitle =           {{P}roceedings of the 40th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'20)},
  acronym =             {{FSTTCS}'20},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {182},
  pages =               {41:1-41:13},
  year =                {2020},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2020.41},
}
[BKM+19] Patricia Bouyer, Orna Kupferman, Nicolas Markey, Bastien Maubert, Aniello Murano et Giuseppe Perelli. Reasoning about Quality and Fuzziness of Strategic Behaviours. In IJCAI'19, pages 1588-1594. IJCAI organization, août 2019.
Résumé

We introduce and study SL[F]—a quantitative extension of SL (Strategy Logic), one of the most natural and expressive logics describing strategic behaviours. The satisfaction value of an SL[F] formula is a real value in [0,1], reflecting "how much" or "how well" the strategic on-going objectives of the underlying agents are satisfied. We demonstrate the applications of SL[F] in quantitative reasoning about multi-agent systems, by showing how it can express concepts of stability in multi-agent systems, and how it generalises some fuzzy temporal logics. We also provide a model-checking algorithm for our logic, based on a quantitative extension of Quantified CTL.

@inproceedings{ijcai2019-BKMMMP,
  author =              {Bouyer, Patricia and Kupferman, Orna and Markey,
                         Nicolas and Maubert, Bastien and Murano, Aniello and
                         Perelli, Giuseppe},
  title =               {Reasoning about Quality and Fuzziness of Strategic
                         Behaviours},
  editor =              {Kraus, Sarit},
  booktitle =           {{P}roceedings of the 28th {I}nternational {J}oint
                         {C}onference on {A}rtificial {I}ntelligence
                         ({IJCAI}'19)},
  acronym =             {{IJCAI}'19},
  publisher =           {IJCAI organization},
  pages =               {1588-1594},
  year =                {2019},
  month =               aug,
  doi =                 {10.24963/ijcai.2019/220},
  abstract =            {We~introduce and study
                         {\(\textsf{SL}[\mathcal{F}]\)}---a~quantitative
                         extension of {\(\textsf{SL}\)} (Strategy Logic),
                         one~of the most natural and expressive logics
                         describing strategic behaviours. The satisfaction
                         value of an {\(\textsf{SL}[\mathcal{F}]\)} formula
                         is a real value in~{\([0,1]\)}, reflecting {"}how
                         much{"} or {"}how well{"} the strategic on-going
                         objectives of the underlying agents are satisfied.
                         We~demonstrate the applications of
                         {\(\textsf{SL}[\mathcal{F}]\)} in quantitative
                         reasoning about multi-agent systems, by showing how
                         it can express concepts of stability in multi-agent
                         systems, and how it generalises some fuzzy temporal
                         logics. We~also provide a model-checking algorithm
                         for our logic, based on a quantitative extension of
                         Quantified~\textsf{CTL}.},
}
[BKM+23] Patricia Bouyer, Orna Kupferman, Nicolas Markey, Bastien Maubert, Aniello Murano et Giuseppe Perelli. Reasoning about Quality and Fuzziness of Strategic Behaviours. ACM Transactions on Computational Logic 24(3):21:1-21:38. ACM Press, juillet 2023.
Résumé

Temporal logics are extensively used for the specification of on-going behaviors of computer systems. Two significant developments in this area are the extension of traditional temporal logics with modalities that enable the specification of on-going strategic behaviors in multi-agent systems, and the transition of temporal logics to a quantitative setting, where different satisfaction values enable the specifier to formalize concepts such as certainty or quality. In the first class, SL (Strategy Logic) is one of the most natural and expressive logics describing strategic behaviors. In the second class, a notable logic is LTL[F], which extends LTL with quality operators.

In this work we introduce and study SL[F], which enables the specification of quantitative strategic behaviors. The satisfaction value of an SL[F] formula is a real value in [0,1], reflecting "how much" or "how well" the strategic on-going objectives of the underlying agents are satisfied. We demonstrate the applications of SL[F] in quantitative reasoning about multi-agent systems, showing how it can express and measure concepts like stability in multi-agent systems, and how it generalizes some fuzzy temporal logics. We also provide a model-checking algorithm for SL[F], based on a quantitative extension of Quantified CTL*. Our algorithm provides the first decidability result for a quantitative extension of Strategy Logic. In addition, it can be used for synthesizing strategies that maximize the quality of the systems' behavior

@article{tocl24(3)-BKMMMP,
  author =              {Bouyer, Patricia and Kupferman, Orna and Markey,
                         Nicolas and Maubert, Bastien and Murano, Aniello and
                         Perelli, Giuseppe},
  title =               {Reasoning about Quality and Fuzziness of Strategic
                         Behaviours},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {24},
  number =              {3},
  pages =               {21:1-21:38},
  year =                {2023},
  month =               jul,
  doi =                 {10.1145/3582498},
  abstract =            {Temporal logics are extensively used for the
                         specification of on-going behaviors of computer
                         systems. Two significant developments in this area
                         are the extension of traditional temporal logics
                         with modalities that enable the specification of
                         on-going strategic behaviors in multi-agent systems,
                         and the transition of temporal logics to a
                         quantitative setting, where different satisfaction
                         values enable the specifier to formalize concepts
                         such as certainty or quality. In~the first class,
                         SL~(Strategy~Logic)~is one of the most natural and
                         expressive logics describing strategic behaviors. In
                         the second class, a notable logic is
                         \(\textsf{LTL}[\mathcal{F}]\), which extends
                         \textsf{LTL} with quality operators. \par In~this
                         work we introduce and study
                         \(\textsf{SL}[\mathcal{F}]\), which enables the
                         specification of quantitative strategic behaviors.
                         The satisfaction value of an
                         \(\textsf{SL}[\mathcal{F}]\) formula is a real value
                         in \([0,1]\), reflecting {"}how~much{"} or
                         {"}how~well{"} the strategic on-going objectives of
                         the underlying agents are satisfied. We demonstrate
                         the applications of \(\textsf{SL}[\mathcal{F}]\) in
                         quantitative reasoning about multi-agent systems,
                         showing how it can express and measure concepts like
                         stability in multi-agent systems, and how it
                         generalizes some fuzzy temporal logics. We also
                         provide a model-checking algorithm for
                         \(\textsf{SL}[\mathcal{F}]\), based on a
                         quantitative extension of
                         Quantified~\(\textsf{CTL}^*\). Our~algorithm
                         provides the first decidability result for a
                         quantitative extension of Strategy Logic. In
                         addition, it can be used for synthesizing strategies
                         that maximize the quality of the systems' behavior},
}
[BKM+06] Jeremy W. Bryans, Maciej Koutny, Laurent Mazaré et Peter Y. A. Ryan. Opacity generalised to transition systems. In FAST'05, Lecture Notes in Computer Science 3866, pages 81-95. Springer-Verlag, 2006.
@inproceedings{fast2005-BKMR,
  author =              {Bryans, Jeremy W. and Koutny, Maciej and Mazar{\'e},
                         Laurent and Ryan, Peter Y. A.},
  title =               {Opacity generalised to transition systems},
  editor =              {Dimitrakos, Theo and Martinelli, Fabio and Ryan,
                         Peter Y. A. and Schneider, Steve},
  booktitle =           {{R}evised {S}elected {P}apers of the 3rd
                         {I}nternational {W}orkshop on {F}ormal {A}spects in
                         {S}ecurity and {T}rust ({FAST}'05)},
  acronym =             {{FAST}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3866},
  pages =               {81-95},
  year =                {2006},
  confyear =            {2005},
  confmonth =           {7},
  doi =                 {10.1007/11679219_7},
}
[BKO+08] Thomas Bøgholm, Henrik Kargh-hansen, Petur Olsen, Bent Thomsen et Kim Guldstrand Larsen. Model-based schedulability analysis of safety critical hard real-time Java programs. In JTRES'08, ACM International Conference Proceeding Series 343, pages 106-114. ACM Press, septembre 2008.
@inproceedings{jtres2008-BKOTL,
  author =              {B{\o}gholm, Thomas and Kargh{-}hansen, Henrik and
                         Olsen, Petur and Thomsen, Bent and Larsen, Kim
                         Guldstrand},
  title =               {Model-based schedulability analysis of safety
                         critical hard real-time Java programs},
  editor =              {Bollella, Gregory and Locke, C. Douglas},
  booktitle =           {{P}roceedings of the 6th {I}nternational {W}orkshop
                         on {J}ava {T}echnologies for {R}eal-time and
                         {E}mbedded {S}ystems ({JTRES}'08)},
  acronym =             {{JTRES}'08},
  publisher =           {ACM Press},
  series =              {ACM International Conference Proceeding Series},
  volume =              {343},
  pages =               {106-114},
  year =                {2008},
  month =               sep,
  doi =                 {10.1145/1434790.1434807},
}
[BKP86] Howard Barringer, Ruurd Kuiper et Amir Pnueli. A Really Abstract Concurrent Model and its Temporal Logic. In POPL'86, pages 173-183. ACM Press, janvier 1986.
@inproceedings{popl1986-BKP,
  author =              {Barringer, Howard and Kuiper, Ruurd and Pnueli,
                         Amir},
  title =               {A Really Abstract Concurrent Model and its Temporal
                         Logic},
  booktitle =           {Conference Record of the 13th {ACM} {S}ymposium on
                         {P}rinciples of {P}rogramming {L}anguages
                         ({POPL}'86)},
  acronym =             {{POPL}'86},
  publisher =           {ACM Press},
  pages =               {173-183},
  year =                {1986},
  month =               jan,
}
[BKP11] Dietmar Berwanger, łukasz Kaiser et Bernd Puchala. A Perfect-Information Construction for Coordination in Games. In FSTTCS'11, Leibniz International Proceedings in Informatics 13, pages 387-398. Leibniz-Zentrum für Informatik, décembre 2011.
@inproceedings{fsttcs2011-BKP,
  author =              {Berwanger, Dietmar and Kaiser, {\L}ukasz and
                         Puchala, Bernd},
  title =               {A~Perfect-Information Construction for Coordination
                         in Games},
  editor =              {Chakraborty, Supratik and Kumar, Amit},
  booktitle =           {{P}roceedings of the 31st {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'11)},
  acronym =             {{FSTTCS}'11},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {13},
  pages =               {387-398},
  year =                {2011},
  month =               dec,
}
[BL69] Julius R. Büchi et Lawrence H. Landweber. Solving Sequential Conditions by Finite-State Strategies. Transactions of the American Mathematical Society 138:295-311. American Mathematical Society, avril 1969.
@article{TAMS138-BL,
  author =              {B{\"u}chi, Julius R. and Landweber, Lawrence H.},
  title =               {Solving Sequential Conditions by Finite-State
                         Strategies},
  publisher =           {American Mathematical Society},
  journal =             {Transactions of the American Mathematical Society},
  volume =              {138},
  pages =               {295-311},
  year =                {1969},
  month =               apr,
}
[BL69] Julius R. Büchi et Lawrence H. Landweber. Definiability in the Monadic Second-Order Theory of Successor. Journal of Symbolic Logic 34(2):166-170. Association for Symbolic Logic, juin 1969.
@article{jsl34(2)-BL,
  author =              {B{\"u}chi, Julius R. and Landweber, Lawrence H.},
  title =               {Definiability in the Monadic Second-Order Theory of
                         Successor},
  publisher =           {Association for Symbolic Logic},
  journal =             {Journal of Symbolic Logic},
  volume =              {34},
  number =              {2},
  pages =               {166-170},
  year =                {1969},
  month =               jun,
}
[BL95] Ahmed Bouajjani et Yassine Lakhnech. Temporal Logic + Timed Automata: Expressiveness and Decidability. In CONCUR'95, Lecture Notes in Computer Science 962, pages 531-545. Springer-Verlag, août 1995.
@inproceedings{concur1995-BL,
  author =              {Bouajjani, Ahmed and Lakhnech, Yassine},
  title =               {Temporal Logic + Timed Automata: Expressiveness and
                         Decidability},
  editor =              {Lee, Insup and Smolka, Scott A.},
  booktitle =           {{P}roceedings of the 6th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'95)},
  acronym =             {{CONCUR}'95},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {962},
  pages =               {531-545},
  year =                {1995},
  month =               aug,
}
[BL12] Mikołaj Bojańczyk et Sławomir Lasota. A Machine-Independent Characterization of Timed Languages. In ICALP'12, Lecture Notes in Computer Science 7392, pages 92-103. Springer-Verlag, juillet 2012.
@inproceedings{icalp2012-BL,
  author =              {Boja{\'n}czyk, Miko{\l}aj and Lasota, S{\l}awomir},
  title =               {A~Machine-Independent Characterization of Timed
                         Languages},
  editor =              {Czumaj, Artur and Mehlhorn, Kurt and Pitts, Andrew
                         and Wattenhofer, Roger},
  booktitle =           {{P}roceedings of the 39th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'12)~-- Part~{II}},
  acronym =             {{ICALP}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7392},
  pages =               {92-103},
  year =                {2012},
  month =               jul,
  doi =                 {10.1007/978-3-642-31585-5_12},
}
[BL19] Udi Boker et Karoliina Lehtinen. Good-for-game Automata: from Non-determinism to Alternation. In CONCUR'19, Leibniz International Proceedings in Informatics 140, pages 19:1-19:16. Leibniz-Zentrum für Informatik, août 2019.
@inproceedings{concur2019-BL,
  author =              {Boker, Udi and Lehtinen, Karoliina},
  title =               {Good-for-game Automata: from Non-determinism to
                         Alternation},
  editor =              {Fokkink, Wan J. and van Glabbeek, Rob},
  booktitle =           {{P}roceedings of the 30th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'19)},
  acronym =             {{CONCUR}'19},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {140},
  pages =               {19:1-19:16},
  year =                {2019},
  month =               aug,
  doi =                 {10.4230/LIPIcs.CONCUR.2019.19},
}
[BL21] Udi Boker et Karoliina Lehtinen. History Determinism vs. Good for Gameness in Quantitative Automata. In FSTTCS'21, Leibniz International Proceedings in Informatics 213, pages 38:1-38:20. Leibniz-Zentrum für Informatik, décembre 2021.
@inproceedings{fsttcs2021-BK,
  author =              {Boker, Udi and Lehtinen, Karoliina},
  title =               {History Determinism vs.~Good for Gameness in
                         Quantitative Automata},
  editor =              {Boja{\'n}czyk, Miko{\l}aj and Chekuri, Chandra},
  booktitle =           {{P}roceedings of the 41st {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'21)},
  acronym =             {{FSTTCS}'21},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {213},
  pages =               {38:1-38:20},
  year =                {2021},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2021.38},
}
[BL22] Udi Boker et Karoliina Lehtinen. Token Games and History-Deterministic Quantitative Automata. In FoSSaCS'22, Lecture Notes in Computer Science 13242, pages 120-139. Springer-Verlag, avril 2022.
@inproceedings{fossacs2022-BL,
  author =              {Boker, Udi and Lehtinen, Karoliina},
  title =               {Token Games and History-Deterministic Quantitative
                         Automata},
  editor =              {Bouyer, Patricia and Schr{\"o}der, Lutz},
  booktitle =           {{P}roceedings of the 25th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'22)},
  acronym =             {{FoSSaCS}'22},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {13242},
  pages =               {120-139},
  year =                {2022},
  month =               apr,
  doi =                 {10.1007/978-3-030-99253-8_7},
}
[BL23] Udi Boker et Karoliina Lehtinen. When a Little Nondeterminism Goes a Long Way: an Introduction to History-Determinism. SIGLOG News 35:24-51. ACM Press, janvier 2023.
@article{siglog-news35()-BL,
  author =              {Boker, Udi and Lehtinen, Karoliina},
  title =               {When a Little Nondeterminism Goes a Long Way: an
                         Introduction to History-Determinism},
  publisher =           {ACM Press},
  journal =             {SIGLOG News},
  volume =              {35},
  pages =               {24-51},
  year =                {2023},
  month =               jan,
}
[Bla00] Patrick Blackburn. Representations, Reasoning and Relational Structures: a Hybrid Logic Manifesto. Logic Journal of the IGPL 8(3):339-365. Oxford University Press, mai 2000.
@article{jigpl8(3)-Bla,
  author =              {Blackburn, Patrick},
  title =               {Representations, Reasoning and Relational
                         Structures: a Hybrid Logic Manifesto},
  publisher =           {Oxford University Press},
  journal =             {Logic Journal of the IGPL},
  volume =              {8},
  number =              {3},
  pages =               {339-365},
  year =                {2000},
  month =               may,
}
[BLM07] Patricia Bouyer, Kim Guldstrand Larsen et Nicolas Markey. Model Checking One-clock Priced Timed Automata. In FoSSaCS'07, Lecture Notes in Computer Science 4423, pages 108-122. Springer-Verlag, mars 2007.
Résumé

We consider the model of priced (a.k.a. weighted) timed automata, an extension of timed automata with cost information on both locations and transitions. We prove that model-checking this class of models against the logic WCTL, CTL with cost-constrained modalities, is PSPACE-complete under the "single-clock" assumption. In contrast, it has been recently proved that the model-checking problem is undecidable for this model as soon as the system has three clocks. We also prove that the model-checking of WCTL becomes undecidable, even under this "single-clock" assumption.

@inproceedings{fossacs2007-BLM,
  author =              {Bouyer, Patricia and Larsen, Kim Guldstrand and
                         Markey, Nicolas},
  title =               {Model Checking One-clock Priced Timed Automata},
  editor =              {Seidl, Helmut},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'07)},
  acronym =             {{FoSSaCS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4423},
  pages =               {108-122},
  year =                {2007},
  month =               mar,
  doi =                 {10.1007/978-3-540-71389-0_9},
  abstract =            {We consider the model of priced (a.k.a.~weighted)
                         timed automata, an extension of timed automata with
                         cost information on both locations and transitions.
                         We prove that model-checking this class of models
                         against the logic~WCTL, CTL~with cost-constrained
                         modalities, is PSPACE-complete under the
                         {"}single-clock{"} assumption. In~contrast, it~has
                         been recently proved that the model-checking problem
                         is undecidable for this model as soon as the system
                         has three clocks. We also prove that the
                         model-checking of~WCTL becomes undecidable, even
                         under this {"}single-clock{"} assumption.},
}
[BLM08] Patricia Bouyer, Kim Guldstrand Larsen et Nicolas Markey. Model Checking One-clock Priced Timed Automata. Logical Methods in Computer Science 4(2). Mai 2008.
Résumé

We consider the model of priced (a.k.a. weighted) timed automata, an extension of timed automata with cost information on both locations and transitions, and we study various model-checking problems for that model based on extensions of classical temporal logics with cost constraints on modalities. We prove that, under the assumption that the model has only one clock, model-checking this class of models against the logic WCTL, CTL with cost-constrained modalities, is PSPACE-complete (while it has been shown undecidable as soon as the model has three clocks). We also prove that model checking WMTL (LTL with cost-constrained modalities) is decidable only if there is a single clock in the model and a single stopwatch cost variable (i.e., whose slopes lie in {0,1}).

@article{lmcs4(2)-BLM,
  author =              {Bouyer, Patricia and Larsen, Kim Guldstrand and
                         Markey, Nicolas},
  title =               {Model Checking One-clock Priced Timed Automata},
  journal =             {Logical Methods in Computer Science},
  volume =              {4},
  number =              {2},
  year =                {2008},
  month =               may,
  doi =                 {10.2168/LMCS-4(2:9)2008},
  abstract =            {We consider the model of priced (a.k.a.~weighted)
                         timed automata, an extension of timed automata with
                         cost information on both locations and transitions,
                         and we study various model-checking problems for
                         that model based on extensions of classical temporal
                         logics with cost constraints on modalities. We prove
                         that, under the assumption that the model has only
                         one clock, model-checking this class of models
                         against the logic~WCTL, CTL with cost-constrained
                         modalities, is PSPACE-complete (while it has been
                         shown undecidable as soon as the model has three
                         clocks). We~also prove that model checking WMTL (LTL
                         with cost-constrained modalities) is decidable only
                         if there is a single clock in the model and a single
                         stopwatch cost variable (\textit{i.e.}, whose slopes
                         lie in~\(\{0,1\}\)).},
}
[BLM12] Patricia Bouyer, Kim Guldstrand Larsen et Nicolas Markey. Lower-Bound Constrained Runs in Weighted Timed Automata. In QEST'12, pages 128-137. IEEE Comp. Soc. Press, septembre 2012.
Résumé

We investigate a number of problems related to infinite runs of weighted timed automata, subject to lower-bound constraints on the accumulated weight. Closing an open problem from [Bouyer et al., "Infinite runs in weighted timed automata with energy constraints", FORMATS'08], we show that the existence of an infinite lower-bound-constrained run is—for us somewhat unexpectedly—undecidable for weighted timed automata with four or more clocks.

This undecidability result assumes a fixed and know initial credit. We show that the related problem of existence of an initial credit for which there ex- ist a feasible run is decidable in PSPACE. We also investigate the variant of these problems where only bounded-duration runs are considered, showing that this restriction makes our original problem decidable in NEXPTIME. Finally, we prove that the universal versions of all those problems (i.e, checking that all the considered runs satisfy the lower-bound constraint) are decidable in PSPACE.

@inproceedings{qest2012-BLM,
  author =              {Bouyer, Patricia and Larsen, Kim Guldstrand and
                         Markey, Nicolas},
  title =               {Lower-Bound Constrained Runs in Weighted Timed
                         Automata},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {Q}uantitative {E}valuation of
                         {S}ystems ({QEST}'12)},
  acronym =             {{QEST}'12},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {128-137},
  year =                {2012},
  month =               sep,
  doi =                 {10.1109/QEST.2012.28},
  abstract =            {We investigate a number of problems related to
                         infinite runs of weighted timed automata, subject to
                         lower-bound constraints on the accumulated weight.
                         Closing an open problem from [Bouyer
                         \textit{et~al.}, {"}Infinite runs in weighted timed
                         automata with energy constraints{"}, FORMATS'08], we
                         show that the existence of an infinite
                         lower-bound-constrained run is---for us somewhat
                         unexpectedly---undecidable for weighted timed
                         automata with four or more clocks.\par This
                         undecidability result assumes a fixed and know
                         initial credit. We show that the related problem of
                         existence of an initial credit for which there ex-
                         ist a feasible run is decidable in PSPACE. We also
                         investigate the variant of these problems where only
                         bounded-duration runs are considered, showing that
                         this restriction makes our original problem
                         decidable in NEXPTIME. Finally, we prove that the
                         universal versions of all those problems (i.e,
                         checking that all the considered runs satisfy the
                         lower-bound constraint) are decidable in PSPACE.},
}
[BLM14] Patricia Bouyer, Kim Guldstrand Larsen et Nicolas Markey. Lower-Bound Constrained Runs in Weighted Timed Automata. Performance Evaluation 73:91-109. Elsevier, mars 2014.
Résumé

We investigate a number of problems related to infinite runs of weighted timed automata (with a single weight variable), subject to lower-bound constraints on the accumulated weight. Closing an open problem from an earlier paper, we show that the existence of an infinite lower-bound-constrained run is–for us somewhat unexpectedly–undecidable for weighted timed automata with four or more clocks.

This undecidability result assumes a fixed and known initial credit. We show that the related problem of existence of an initial credit for which there exists a feasible run is decidable in PSPACE. We also investigate the variant of these problems where only bounded-duration runs are considered, showing that this restriction makes our original problem decidable in NEXPTIME. We prove that the universal versions of all those problems (i.e, checking that all the considered runs satisfy the lower-bound constraint) are decidable in PSPACE.

Finally, we extend this study to multi-weighted timed automata: the existence of a feasible run becomes undecidable even for bounded duration, but the existence of initial credits remains decidable (in PSPACE).

@article{peva73()-BLM,
  author =              {Bouyer, Patricia and Larsen, Kim Guldstrand and
                         Markey, Nicolas},
  title =               {Lower-Bound Constrained Runs in Weighted Timed
                         Automata},
  publisher =           {Elsevier},
  journal =             {Performance Evaluation},
  volume =              {73},
  pages =               {91-109},
  year =                {2014},
  month =               mar,
  doi =                 {10.1016/j.peva.2013.11.002},
  abstract =            {We investigate a number of problems related to
                         infinite runs of weighted timed automata (with a
                         single weight variable), subject to lower-bound
                         constraints on the accumulated weight. Closing an
                         open problem from an earlier paper, we show that the
                         existence of an infinite lower-bound-constrained run
                         is--for us somewhat unexpectedly--undecidable for
                         weighted timed automata with four or more
                         clocks.\par This undecidability result assumes a
                         fixed and known initial credit. We show that the
                         related problem of existence of an initial credit
                         for which there exists a feasible run is decidable
                         in PSPACE. We also investigate the variant of these
                         problems where only bounded-duration runs are
                         considered, showing that this restriction makes our
                         original problem decidable in NEXPTIME. We prove
                         that the universal versions of all those problems
                         (i.e, checking that all the considered runs satisfy
                         the lower-bound constraint) are decidable in
                         PSPACE.\par Finally, we extend this study to
                         multi-weighted timed automata: the existence of a
                         feasible run becomes undecidable even for bounded
                         duration, but the existence of initial credits
                         remains decidable (in~PSPACE).},
}
[BLM+07] Thomas Brihaye, François Laroussinie, Nicolas Markey et Ghassan Oreiby. Timed Concurrent Game Structures. In CONCUR'07, Lecture Notes in Computer Science 4703, pages 445-459. Springer-Verlag, septembre 2007.
Résumé

We propose a new model for timed games, based on concurrent game structures (CGSs). Compared to the classical timed game automata of Asarin et al., our timed CGSs are "more concurrent", in the sense that they always allow all the agents to act on the system, independently of the delay they want to elapse before their action. Timed CGSs weaken the "element of surprise" of timed game automata reported by de Alfaro et al.

We prove that our model has nice properties, in particular that model-checking timed CGSs against timed ATL is decidable via region abstraction, and in particular that strategies are "region-stable" if winning objectives are. We also propose a new extension of TATL, containing ATL*, which we call TALTL. We prove that model-checking this logic remains decidable on timed CGSs. Last, we explain how our algorithms can be adapted in order to rule out Zeno (co-)strategies, based on the ideas of Henzinger et al.

@inproceedings{concur2007-BLMO,
  author =              {Brihaye, {\relax Th}omas and Laroussinie, Fran{\c
                         c}ois and Markey, Nicolas and Oreiby, Ghassan},
  title =               {Timed Concurrent Game Structures},
  editor =              {Caires, Lu{\'\i}s and Vasconcelos, Vasco T.},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'07)},
  acronym =             {{CONCUR}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4703},
  pages =               {445-459},
  year =                {2007},
  month =               sep,
  doi =                 {10.1007/978-3-540-74407-8_30},
  abstract =            {We propose a new model for timed games, based on
                         concurrent game structures~(CGSs). Compared to the
                         classical \emph{timed game automata} of~Asarin
                         \emph{et~al.}, our timed~CGSs are {"}more
                         concurrent{"}, in the sense that they always allow
                         all the agents to act on the system, independently
                         of the delay they want to elapse before their
                         action. Timed CGSs weaken the {"}element of
                         surprise{"} of timed game automata reported by
                         de~Alfaro \emph{et~al.}\par We prove that our model
                         has nice properties, in particular that
                         model-checking timed CGSs against timed
                         \(\textsf{ATL}\) is decidable \emph{via} region
                         abstraction, and in particular that strategies are
                         {"}region-stable{"} if winning objectives are. We
                         also propose a new extension of \(\textsf{TATL}\),
                         containing~\(\textsf{ATL}^{*}\), which we
                         call~\(\textsf{TALTL}\). We~prove that
                         model-checking this logic remains decidable on timed
                         CGSs. Last, we explain how our algorithms can be
                         adapted in order to rule out Zeno (co-)strategies,
                         based on the ideas of Henzinger \emph{et~al.}},
}
[BLM+17] Patricia Bouyer, François Laroussinie, Nicolas Markey, Joël Ouaknine et James Worrell. Timed temporal logics. In Luca Aceto, Giorgio Bacci, Giovanni Bacci, Anna Ingólfsdóttir, Axel Legay et Radu Mardare (eds.), Models, Algorithms, Logics and Tools: Essays Dedicated to Kim Guldstrand Larsen on the Occasion of His 60th Birthday, Lecture Notes in Computer Science 10460, pages 211-230. Springer-Verlag, août 2017.
Résumé

Since the early 1990's, classical temporal logics have been extended with timing constraints. While temporal logics only express contraints on the order of events, their timed extensions can add quantitative constraints on delays between those events. We survey expressiveness and algorithmic results on those logics, and discuss semantic choices that may look unimportant but do have an impact on the questions we consider.

@incollection{kimfest2017-BLMOW,
  author =              {Bouyer, Patricia and Laroussinie, Fran{\c c}ois and
                         Markey, Nicolas and Ouaknine, Jo{\"e}l and Worrell,
                         James},
  title =               {Timed temporal logics},
  editor =              {Aceto, Luca and Bacci, Giorgio and Bacci, Giovanni
                         and Ing{\'o}lfsd{\'o}ttir, Anna and Legay, Axel and
                         Mardare, Radu},
  booktitle =           {Models, Algorithms, Logics and Tools: Essays
                         Dedicated to Kim Guldstrand Larsen on the Occasion
                         of His 60th Birthday},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {10460},
  pages =               {211-230},
  year =                {2017},
  month =               aug,
  doi =                 {10.1007/978-3-319-63121-9_11},
  abstract =            {Since the early 1990's, classical temporal logics
                         have been extended with timing constraints. While
                         temporal logics only express contraints on the order
                         of events, their timed extensions can add
                         quantitative constraints on delays between those
                         events. We survey expressiveness and algorithmic
                         results on those logics, and discuss semantic
                         choices that may look unimportant but do have an
                         impact on the questions we consider.},
}
[BLM+06] Patricia Bouyer, Kim Guldstrand Larsen, Nicolas Markey et Jacob Illum Rasmussen. Almost Optimal Strategies in One-Clock Priced Timed Automata. In FSTTCS'06, Lecture Notes in Computer Science 4337, pages 345-356. Springer-Verlag, décembre 2006.
Résumé

We consider timed games extended with cost information, and prove computability of the optimal cost and of ε-optimal memoryless strategies in timed games with one clock. In contrast, this problem has recently been proved undecidable for timed games with three clocks.

@inproceedings{fsttcs2006-BLMR,
  author =              {Bouyer, Patricia and Larsen, Kim Guldstrand and
                         Markey, Nicolas and Rasmussen, Jacob Illum},
  title =               {Almost Optimal Strategies in One-Clock Priced Timed
                         Automata},
  editor =              {Arun-Kumar, S. and Garg, Naveen},
  booktitle =           {{P}roceedings of the 26th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'06)},
  acronym =             {{FSTTCS}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4337},
  pages =               {345-356},
  year =                {2006},
  month =               dec,
  doi =                 {10.1007/11944836_32},
  abstract =            {We consider timed games extended with cost
                         information, and prove computability of the optimal
                         cost and of \(\epsilon\)-optimal memoryless
                         strategies in timed games with one~clock.
                         In~contrast, this problem has recently been proved
                         undecidable for timed games with three clocks.},
}
[BLM+97] David A. Mix Barrington, Chi-Jen Lu, Peter Bro Miltersen et Sven Skyum. On Uniformity Within NC1. Research Report 97-044, Electronic Colloquium on Computational Complexity, septembre 1997.
@techreport{eccc1997-BLMS,
  author =              {Barrington, David A. Mix and Lu, Chi-Jen and
                         Miltersen, Peter Bro and Skyum, Sven},
  title =               {On Uniformity Within {{\(\mathit{NC}^1\)}}},
  number =              {97-044},
  year =                {1997},
  month =               sep,
  institution =         {Electronic Colloquium on Computational Complexity},
  type =                {Research Report},
}
[BLM+11] Patricia Bouyer, Kim Guldstrand Larsen, Nicolas Markey, Ocan Sankur et Claus Thrane. Timed automata can always be made implementable. In CONCUR'11, Lecture Notes in Computer Science 6901, pages 76-91. Springer-Verlag, septembre 2011.
Résumé

Timed automata follow a mathematical semantics, which assumes perfect precision and synchrony of clocks. Since this hypothesis does not hold in digital systems, properties proven formally on a timed automaton may be lost at implementation. In order to ensure implementability, several approaches have been considered, corresponding to different hypotheses on the implementation platform. We address two of these: a timed automaton is samplable if its semantics is preserved under a discretization of time; it is robust if its semantics is preserved when all timing constraints are relaxed by some small positive parameter. We propose a construction which makes timed automata implementable in the above sense: From any timed automaton A, we build a timed automaton A' that exhibits the same behaviour as A, and moreover is both robust and samplable by construction.

@inproceedings{concur2011-BLMST,
  author =              {Bouyer, Patricia and Larsen, Kim Guldstrand and
                         Markey, Nicolas and Sankur, Ocan and Thrane, Claus},
  title =               {Timed automata can always be made implementable},
  editor =              {Katoen, Joost-Pieter and K{\"o}nig, Barbara},
  booktitle =           {{P}roceedings of the 22nd {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'11)},
  acronym =             {{CONCUR}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6901},
  pages =               {76-91},
  year =                {2011},
  month =               sep,
  doi =                 {10.1007/978-3-642-23217-6_6},
  abstract =            {Timed automata follow a mathematical semantics,
                         which assumes perfect precision and synchrony of
                         clocks. Since this hypothesis does not hold in
                         digital systems, properties proven formally on a
                         timed automaton may be lost at implementation. In
                         order to ensure implementability, several approaches
                         have been considered, corresponding to different
                         hypotheses on the implementation platform. We
                         address two of these: a~timed automaton is samplable
                         if its semantics is preserved under a discretization
                         of time; it is robust if its semantics is preserved
                         when all timing constraints are relaxed by some
                         small positive parameter. We propose a construction
                         which makes timed automata implementable in the
                         above sense: From any timed
                         automaton~\(\mathcal{A}\), we build a timed
                         automaton~\(\mathcal{A}'\) that exhibits the same
                         behaviour as~\(\mathcal{A}\), and moreover is both
                         robust and samplable by construction.},
}
[BLN03] Dirk Beyer, Claus Lewerentz et Andreas Noack. Rabbit: A Tool for BDD-Based Verification of Real-Time Systems. In CAV'03, Lecture Notes in Computer Science 2725, pages 122-125. Springer-Verlag, juillet 2003.
@inproceedings{cav2003-BLN,
  author =              {Beyer, Dirk and Lewerentz, Claus and Noack, Andreas},
  title =               {Rabbit: A~Tool for {BDD}-Based Verification of
                         Real-Time Systems},
  editor =              {Hunt, Jr, Warren A. and Somenzi, Fabio},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'03)},
  acronym =             {{CAV}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2725},
  pages =               {122-125},
  year =                {2003},
  month =               jul,
  doi =                 {10.1007/978-3-540-45069-6_13},
}
[Blo93] Johannes Blömer. Computing Sums of Radicals in Polynomial Time. Technical Report B93-13, Department of Computer Science, University of Paderborn, Germany, août 1993.
@techreport{UPad-B93-13-Blo,
  author =              {Bl{\"o}mer, Johannes},
  title =               {Computing Sums of Radicals in Polynomial Time},
  number =              {B93-13},
  year =                {1993},
  month =               aug,
  institution =         {Department of Computer Science, University of
                         Paderborn, Germany},
}
[BLP03] Gerd Behrmann, Kim Guldstrand Larsen et Radek Pelánek. To Store or not to Store. In CAV'03, Lecture Notes in Computer Science 2725, pages 433-445. Springer-Verlag, juillet 2003.
@inproceedings{cav2003-BLP,
  author =              {Behrmann, Gerd and Larsen, Kim Guldstrand and
                         Pel{\'a}nek, Radek},
  title =               {To Store or not to Store},
  editor =              {Hunt, Jr, Warren A. and Somenzi, Fabio},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'03)},
  acronym =             {{CAV}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2725},
  pages =               {433-445},
  year =                {2003},
  month =               jul,
}
[BLP+98] Gerd Behrmann, Kim Guldstrand Larsen, Justin Pearson, Carsten Weise et Wang Yi. Efficient Timed Reachability Analysis using Clock Difference Diagrams. Research Report RS-98-47, Basic Research in Computer Science, Aalborg University, Denmark, décembre 1998.
@techreport{TR-brics9847,
  author =              {Behrmann, Gerd and Larsen, Kim Guldstrand and
                         Pearson, Justin and Weise, Carsten and Yi, Wang},
  title =               {Efficient Timed Reachability Analysis using Clock
                         Difference Diagrams},
  number =              {RS-98-47},
  year =                {1998},
  month =               dec,
  institution =         {Basic Research in Computer Science, Aalborg
                         University, Denmark},
  type =                {Research Report},
}
[BLP+99] Gerd Behrmann, Kim Guldstrand Larsen, Justin Pearson, Carsten Weise et Wang Yi. Efficient Timed Reachability Analysis using Clock Difference Diagrams. In CAV'99, Lecture Notes in Computer Science 1633, pages 341-353. Springer-Verlag, juillet 1999.
@inproceedings{cav1999-BLPWY,
  author =              {Behrmann, Gerd and Larsen, Kim Guldstrand and
                         Pearson, Justin and Weise, Carsten and Yi, Wang},
  title =               {Efficient Timed Reachability Analysis using Clock
                         Difference Diagrams},
  editor =              {Halbwachs, Nicolas and Peled, Doron A.},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'99)},
  acronym =             {{CAV}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1633},
  pages =               {341-353},
  year =                {1999},
  month =               jul,
}
[BLR05] Patricia Bouyer, François Laroussinie et Pierre-Alain Reynier. Diagonal Constraints in Timed Automata: Forward Analysis of Timed Systems. In FORMATS'05, Lecture Notes in Computer Science 3829, pages 112-126. Springer-Verlag, septembre 2005.
@inproceedings{formats2005-BLR,
  author =              {Bouyer, Patricia and Laroussinie, Fran{\c c}ois and
                         Reynier, Pierre-Alain},
  title =               {Diagonal Constraints in Timed Automata: Forward
                         Analysis of Timed Systems},
  editor =              {Pettersson, Paul and Yi, Wang},
  booktitle =           {{P}roceedings of the 3rd {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'05)},
  acronym =             {{FORMATS}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3829},
  pages =               {112-126},
  year =                {2005},
  month =               sep,
  doi =                 {10.1007/11603009_10},
}
[BLR05] Gerd Behrmann, Kim Guldstrand Larsen et Jacob Illum Rasmussen. Optimal scheduling using priced timed automata. SIGMETRICS Performance Evaluation Review 32(4):34-40. Mars 2005.
@article{SIGper32(4)-BLR,
  author =              {Behrmann, Gerd and Larsen, Kim Guldstrand and
                         Rasmussen, Jacob Illum},
  title =               {Optimal scheduling using priced timed automata},
  journal =             {SIGMETRICS Performance Evaluation Review},
  volume =              {32},
  number =              {4},
  pages =               {34-40},
  year =                {2005},
  month =               mar,
}
[BLS22] Udi Boker, Karoliina Lehtinen et Salomon Sickert. On the Translation of Automata to Linear Temporal Logic. In FoSSaCS'22, Lecture Notes in Computer Science 13242, pages 140-160. Springer-Verlag, avril 2022.
@inproceedings{fossacs2022-BLS,
  author =              {Boker, Udi and Lehtinen, Karoliina and Sickert,
                         Salomon},
  title =               {On the Translation of Automata to Linear Temporal
                         Logic},
  editor =              {Bouyer, Patricia and Schr{\"o}der, Lutz},
  booktitle =           {{P}roceedings of the 25th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'22)},
  acronym =             {{FoSSaCS}'22},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {13242},
  pages =               {140-160},
  year =                {2022},
  month =               apr,
  doi =                 {10.1007/978-3-030-99253-8_8},
}
[BLW01] Benedikt Bollig, Martin Leucker et Michael Weber. Local Parallel Model Checking for the Alternation Free μ-Calculus. Technical Report AIB-2001-04, Aachener Informatik Berichte, Aachen, Germany, mars 2001.
@techreport{TR-Aachen0104,
  author =              {Bollig, Benedikt and Leucker, Martin and Weber,
                         Michael},
  title =               {Local Parallel Model Checking for the Alternation
                         Free {\(\mu\)}-Calculus},
  number =              {AIB-2001-04},
  year =                {2001},
  month =               mar,
  institution =         {Aachener Informatik Berichte, Aachen, Germany},
  type =                {Technical Report},
}
[BM83] Bernard Berthomieu et Miguel Menasche. An Enumerative Approach for Analyzing Time Petri Nets. In WCC'83, pages 41-46. North-Holland/IFIP, septembre 1983.
@inproceedings{ifipwcc1983-BM,
  author =              {Berthomieu, Bernard and Menasche, Miguel},
  title =               {An Enumerative Approach for Analyzing Time {P}etri
                         Nets},
  editor =              {Mason, R. E. A.},
  booktitle =           {{I}nformation {P}rocessing~83~-- {P}roceedings of
                         the 9th {IFIP} {W}orld {C}omputer {C}ongress
                         ({WCC}'83)},
  acronym =             {{WCC}'83},
  publisher =           {North-Holland/IFIP},
  pages =               {41-46},
  year =                {1983},
  month =               sep,
}
[BM95] Michael S. Branicky et Sanjoy K. Mitter. Algorithms for Optimal Hybrid Control. In CDC'95, pages 2661-2666. IEEE Comp. Soc. Press, décembre 1995.
@inproceedings{cdc1995-BM,
  author =              {Branicky, Michael S. and Mitter, Sanjoy K.},
  title =               {Algorithms for Optimal Hybrid Control},
  booktitle =           {{P}roceedings of the 34th {IEEE} {C}onference on
                         {D}ecision and {C}ontrol ({CDC}'95)},
  acronym =             {{CDC}'95},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {2661-2666},
  year =                {1995},
  month =               dec,
}
[BM00] Ed Brinksma et Angelika Mader. Verification and Optimization of a PLC Control Schedule. In SPIN'00, Lecture Notes in Computer Science 1885, pages 73-92. Springer-Verlag, août 2000.
@inproceedings{spin2000-BM,
  author =              {Brinksma, Ed and Mader, Angelika},
  title =               {Verification and Optimization of a {PLC} Control
                         Schedule},
  editor =              {Havelund, Klaus and Penix, John and Viser, Willem},
  booktitle =           {{P}roceedings of the 7th {I}nternational {SPIN}
                         {W}orkshop ({SPIN}'00)},
  acronym =             {{SPIN}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1885},
  pages =               {73-92},
  year =                {2000},
  month =               aug,
}
[BM07] Patricia Bouyer et Nicolas Markey. Costs are Expensive!. In FORMATS'07, Lecture Notes in Computer Science 4763, pages 53-68. Springer-Verlag, octobre 2007.
Résumé

We study the model-checking problem for WMTL, a cost-extension of the linear-time timed temporal logic MTL, that is interpreted over weighted timed automata. We draw a complete picture of the decidability for that problem: it is decidable only for the class of one-clock weighted timed automata with a restricted stopwatch cost, and any slight extension of this model leads to undecidability. We finally give some consequences on the undecidability of linear hybrid automata.

@inproceedings{formats2007-BM,
  author =              {Bouyer, Patricia and Markey, Nicolas},
  title =               {Costs are Expensive!},
  editor =              {Raskin, Jean-Fran{\c c}ois and Thiagarajan, P. S.},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'07)},
  acronym =             {{FORMATS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4763},
  pages =               {53-68},
  year =                {2007},
  month =               oct,
  doi =                 {10.1007/978-3-540-75454-1_6},
  abstract =            {We study the model-checking problem for WMTL,
                         a~cost-extension of the linear-time timed temporal
                         logic MTL, that is interpreted over weighted timed
                         automata. We~draw a complete picture of the
                         decidability for that problem: it~is decidable only
                         for the class of one-clock weighted timed automata
                         with a restricted stopwatch cost, and any slight
                         extension of this model leads to undecidability.
                         We~finally give some consequences on the
                         undecidability of linear hybrid automata.},
}
[BM09] Costas Busch et Malik Magdon-Ismail. Atomic routing games on maximum congestion. Theoretical Computer Science 410(36):3337-3347. Elsevier, août 2009.
@article{tcs410(36)-BMI,
  author =              {Busch, Costas and Magdon{-}Ismail, Malik},
  title =               {Atomic routing games on maximum congestion},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {410},
  number =              {36},
  pages =               {3337-3347},
  year =                {2009},
  month =               aug,
  doi =                 {10.1016/j.tcs.2009.04.015},
}
[BMF02] Ed Brinksma, Angelika Mader et Ansgar Fehnker. Verification and Optimization of a PLC Control Schedule. International Journal on Software Tools for Technology Transfer 4(1):21-33. Springer-Verlag, 2002.
@article{sttt4(1)-BMF,
  author =              {Brinksma, Ed and Mader, Angelika and Fehnker,
                         Ansgar},
  title =               {Verification and Optimization of a {PLC} Control
                         Schedule},
  publisher =           {Springer-Verlag},
  journal =             {International Journal on Software Tools for
                         Technology Transfer},
  volume =              {4},
  number =              {1},
  pages =               {21-33},
  year =                {2002},
}
[BMM14] Patricia Bouyer, Nicolas Markey et Raj Mohan Matteplackel. Averaging in LTL. In CONCUR'14, Lecture Notes in Computer Science 8704, pages 266-280. Springer-Verlag, septembre 2014.
Résumé

For the accurate analysis of computerized systems, powerful quantitative formalisms have been designed, together with efficient verification algorithms. However, verification has mostly remained boolean—either a property is true, or it is false. We believe that this is too crude in a context where quantitative information and constraints are crucial: correctness should be quantified!

In a recent line of works, several authors have proposed quantitative semantics for temporal logics, using e.g. discounting modalities (which give less importance to distant events). In the present paper, we define and study a quantitative semantics of LTL with averaging modalities, either on the long run or within an until modality. This, in a way, relaxes the classical Boolean semantics of LTL, and provides a measure of certain properties of a model. We prove that computing and even approximating the value of a formula in this logic is undecidable.

@inproceedings{concur2014-BMM,
  author =              {Bouyer, Patricia and Markey, Nicolas and
                         Matteplackel, Raj~Mohan},
  title =               {Averaging in~{LTL}},
  editor =              {Baldan, Paolo and Gorla, Daniele},
  booktitle =           {{P}roceedings of the 25th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'14)},
  acronym =             {{CONCUR}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8704},
  pages =               {266-280},
  year =                {2014},
  month =               sep,
  doi =                 {10.1007/978-3-662-44584-6_19},
  abstract =            {For the accurate analysis of computerized systems,
                         powerful quantitative formalisms have been designed,
                         together with efficient verification algorithms.
                         However, verification has mostly remained
                         boolean---either a property is~true, or it~is false.
                         We~believe that this is too crude in a context where
                         quantitative information and constraints are
                         crucial: correctness should be quantified!\par In a
                         recent line of works, several authors have proposed
                         quantitative semantics for temporal logics, using
                         e.g. \emph{discounting} modalities (which give less
                         importance to distant events). In~the present paper,
                         we define and study a quantitative semantics of~LTL
                         with \emph{averaging} modalities, either on the long
                         run or within an until modality. This, in a way,
                         relaxes the classical Boolean semantics of~LTL, and
                         provides a measure of certain properties of a model.
                         We~prove that computing and even approximating the
                         value of a formula in this logic is undecidable.},
}
[BMM17] Raphaël Berthon, Bastien Maubert et Aniello Murano. Decidability Results for ATL* with Imperfect Information and Perfect Recall. In AAMAS'17, pages 1250-1258. International Foundation for Autonomous Agents and Multiagent Systems, mai 2017.
@inproceedings{aamas2017-BMM,
  author =              {Berthon, Rapha{\"e}l and Maubert, Bastien and
                         Murano, Aniello},
  title =               {Decidability Results for {ATL\textsuperscript{*}}
                         with Imperfect Information and Perfect Recall},
  editor =              {Das, Sanmay and Durfee, Ed and Larson, Kate and
                         Winikoff, Michael},
  booktitle =           {{P}roceedings of the 16th {I}nternational
                         {C}onference on {A}utonomous {A}gents and
                         {M}ultiagent {S}ystems ({AAMAS}'17)},
  acronym =             {{AAMAS}'17},
  publisher =           {International Foundation for Autonomous Agents and
                         Multiagent Systems},
  pages =               {1250-1258},
  year =                {2017},
  month =               may,
}
[BMM+17] Raphaël Berthon, Bastien Maubert, Aniello Murano, Sasha Rubin et Moshe Y. Vardi. Strategy Logic with Imperfect Information. In LICS'17, pages 1-12. IEEE Comp. Soc. Press, juin 2017.
@inproceedings{lics2017-BMMRV,
  author =              {Berthon, Rapha{\"e}l and Maubert, Bastien and
                         Murano, Aniello and Rubin, Sasha and Vardi, Moshe
                         Y.},
  title =               {Strategy Logic with Imperfect Information},
  booktitle =           {{P}roceedings of the 32nd {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'17)},
  acronym =             {{LICS}'17},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {1-12},
  year =                {2017},
  month =               jun,
  doi =                 {10.1109/LICS.2017.8005136},
}
[BMM+00] Jean-Camille Birget, Stuart W. Margolis, John C. Meakin et Pascal Weil. PSPACE-Completeness of Certain Algorithmic Problems on the Subgroups of Free Groups. Theoretical Computer Science 242(1-2):247-281. Elsevier, juillet 2000.
@article{tcs242(1-2)-BMMW,
  author =              {Birget, Jean-Camille and Margolis, Stuart W. and
                         Meakin, John C. and Weil, Pascal},
  title =               {{PSPACE}-Completeness of Certain Algorithmic
                         Problems on the Subgroups of Free Groups},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {242},
  number =              {1-2},
  pages =               {247-281},
  year =                {2000},
  month =               jul,
}
[BMO+08] Patricia Bouyer, Nicolas Markey, Joël Ouaknine, Philippe Schnoebelen et James Worrell. On Termination for Faulty Channel Machines. In STACS'08, Leibniz International Proceedings in Informatics 1, pages 121-132. Leibniz-Zentrum für Informatik, février 2008.
Résumé

A channel machine consists of a finite controller together with several fifo channels; the controller can read messages from the head of a channel and write messages to the tail of a channel. In this paper, we focus on channel machines with insertion errors, i.e., machines in whose channels messages can spontaneously appear. Such devices have been previously introduced in the study of Metric Temporal Logic. We consider the termination problem: are all the computations of a given insertion channel machine finite? We show that this problem has non-elementary, yet primitive recursive complexity.

@inproceedings{stacs2008-BMOSW,
  author =              {Bouyer, Patricia and Markey, Nicolas and Ouaknine,
                         Jo{\"e}l and Schnoebelen, {\relax Ph}ilippe and
                         Worrell, James},
  title =               {On Termination for Faulty Channel Machines},
  editor =              {Albers, Susanne and Weil, Pascal},
  booktitle =           {{P}roceedings of the 25th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'08)},
  acronym =             {{STACS}'08},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {1},
  pages =               {121-132},
  year =                {2008},
  month =               feb,
  doi =                 {10.4230/LIPIcs.STACS.2008.1339},
  abstract =            {A channel machine consists of a finite controller
                         together with several fifo channels; the controller
                         can read messages from the head of a channel and
                         write messages to the tail of a channel. In this
                         paper, we focus on channel machines with
                         \emph{insertion errors}, \textit{i.e.}, machines in
                         whose channels messages can spontaneously appear.
                         Such devices have been previously introduced in the
                         study of Metric Temporal Logic. We~consider the
                         termination problem: are all the computations of a
                         given insertion channel machine finite? We~show that
                         this problem has non-elementary, yet primitive
                         recursive complexity.},
}
[BMO+12] Patricia Bouyer, Nicolas Markey, Joël Ouaknine, Philippe Schnoebelen et James Worrell. On Termination and Invariance for Faulty Channel Systems. Formal Aspects of Computing 24(4-6):595-607. Springer-Verlag, juillet 2012.
Résumé

channel machine consists of a finite controller together with several fifo channels; the controller can read messages from the head of a channel and write messages to the tail of a channel. In this paper we focus on channel machines with insertion errors, i.e., machines in whose channels messages can spontaneously appear. We consider the invariance problem: does a given insertion channel machine have an infinite computation all of whose configurations satisfy a given predicate? We show that this problem is primitive-recursive if the predicate is closed under message losses. We also give a non-elementary lower bound for the invariance problem under this restriction. Finally, using the previous result, we show that the satisfiability problem for the safety fragment of Metric Temporal Logic is non-elementary.

@article{fac24(4-6)-BMOSW,
  author =              {Bouyer, Patricia and Markey, Nicolas and Ouaknine,
                         Jo{\"e}l and Schnoebelen, {\relax Ph}ilippe and
                         Worrell, James},
  title =               {On Termination and Invariance for Faulty Channel
                         Systems},
  publisher =           {Springer-Verlag},
  journal =             {Formal Aspects of Computing},
  volume =              {24},
  number =              {4-6},
  pages =               {595-607},
  year =                {2012},
  month =               jul,
  doi =                 {10.1007/s00165-012-0234-7},
  abstract =            {A~\emph{channel machine} consists of a finite
                         controller together with several fifo channels; the
                         controller can read messages from the head of a
                         channel and write messages to the tail of a channel.
                         In this paper we focus on channel machines with
                         \emph{insertion errors}, i.e., machines in whose
                         channels messages can spontaneously appear. We
                         consider the invariance problem: does a given
                         insertion channel machine have an infinite
                         computation all of whose configurations satisfy a
                         given predicate? We show that this problem is
                         primitive-recursive if the predicate is closed under
                         message losses. We also give a non-elementary lower
                         bound for the invariance problem under this
                         restriction. Finally, using the previous result, we
                         show that the satisfiability problem for the safety
                         fragment of Metric Temporal Logic is
                         non-elementary.},
}
[BMO+11] Patricia Bouyer, Nicolas Markey, Jörg Olschewski et Michael Ummels. Measuring Permissiveness in Parity Games: Mean-Payoff Parity Games Revisited. In ATVA'11, Lecture Notes in Computer Science 6996, pages 135-149. Springer-Verlag, octobre 2011.
Résumé

We study nondeterministic strategies in parity games with the aim of computing a most permissive winning strategy. Following earlier work, we measure permissiveness in terms of the average number/weight of transitions blocked by a strategy. Using a translation into mean-payoff parity games, we prove that deciding (the permissiveness of) a most permissive winning strategy is in NP∩coNP. Along the way, we provide a new study of mean-payoff parity games. In particular, we give a new algorithm for solving these games, which beats all previously known algorithms for this problem.

@inproceedings{atva2011-BMOU,
  author =              {Bouyer, Patricia and Markey, Nicolas and Olschewski,
                         J{\"o}rg and Ummels, Michael},
  title =               {Measuring Permissiveness in Parity Games:
                         Mean-Payoff Parity Games Revisited},
  editor =              {Bultan, Tevfik and Hsiung, Pao-Ann},
  booktitle =           {{P}roceedings of the 9th {I}nternational {S}ymposium
                         on {A}utomated {T}echnology for {V}erification and
                         {A}nalysis ({ATVA}'11)},
  acronym =             {{ATVA}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6996},
  pages =               {135-149},
  year =                {2011},
  month =               oct,
  doi =                 {10.1007/978-3-642-24372-1_11},
  abstract =            {We study nondeterministic strategies in parity games
                         with the aim of computing a most permissive winning
                         strategy. Following earlier work, we measure
                         permissiveness in terms of the average
                         number{\slash}weight of transitions blocked by a
                         strategy. Using a translation into mean-payoff
                         parity games, we prove that deciding (the
                         permissiveness~of) a~most permissive winning
                         strategy is in \(\textsf{NP}\cap\textsf{coNP}\).
                         Along the way, we~provide a new study of mean-payoff
                         parity games. In particular, we give a new algorithm
                         for solving these games, which beats all previously
                         known algorithms for this problem.},
}
[BMO+07] Patricia Bouyer, Nicolas Markey, Joël Ouaknine et James Worrell. The Cost of Punctuality. In LICS'07, pages 109-118. IEEE Comp. Soc. Press, juillet 2007.
Résumé

In an influential paper titled "The Benefits of Relaxing Punctuality", Alur, Feder, and Henzinger introduced Metric Interval Temporal Logic (MITL) as a fragment of the real-time logic Metric Temporal Logic (MTL) in which exact or punctual timing constraints are banned. Their main result showed that model checking and satisfiability for MITL are both EXPSPACE-Complete.

Until recently, it was widely believed that admitting even the simplest punctual specifications in any linear-time temporal logic would automatically lead to undecidability. Although this was recently disproved, until now no punctual fragment of MTL was known to have even primitive recursive complexity (with certain decidable fragments having provably non-primitive recursive complexity).

In this paper we identify a `co-flat' subset of MTL that is capable of expressing a large class of punctual specifications and for which model checking (although not satisfiability) has no complexity cost over MITL. Our logic is moreover qualitatively different from MITL in that it can express properties that are not timed-regular. Correspondingly, our decision procedures do not involve translating formulas into finite-state automata, but rather into certain kinds of reversal-bounded Turing machines. Using this translation we show that the model checking problem for our logic is EXPSPACE-Complete, and is even PSPACE-Complete if timing constraints are encoded in unary.

@inproceedings{lics2007-BMOW,
  author =              {Bouyer, Patricia and Markey, Nicolas and Ouaknine,
                         Jo{\"e}l and Worrell, James},
  title =               {The Cost of Punctuality},
  booktitle =           {{P}roceedings of the 22nd {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'07)},
  acronym =             {{LICS}'07},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {109-118},
  year =                {2007},
  month =               jul,
  doi =                 {10.1109/LICS.2007.49},
  abstract =            {In an influential paper titled {"}The Benefits of
                         Relaxing Punctuality{"}, Alur, Feder, and~Henzinger
                         introduced Metric Interval Temporal Logic~(MITL) as
                         a fragment of the real-time logic Metric Temporal
                         Logic~(MTL) in which exact or punctual timing
                         constraints are banned. Their main result showed
                         that model checking and satisfiability for~MITL are
                         both EXPSPACE-Complete.\par Until recently, it was
                         widely believed that admitting even the simplest
                         punctual specifications in any linear-time temporal
                         logic would automatically lead to undecidability.
                         Although this was recently disproved, until now no
                         punctual fragment of~MTL was known to have even
                         primitive recursive complexity (with certain
                         decidable fragments having provably non-primitive
                         recursive complexity).\par In this paper we identify
                         a `co-flat' subset of~MTL that is capable of
                         expressing a large class of punctual specifications
                         and for which model checking (although not
                         satisfiability) has no complexity cost over~MITL.
                         Our logic is moreover qualitatively different
                         from~MITL in that it can express properties that are
                         not timed-regular. Correspondingly, our decision
                         procedures do not involve translating formulas into
                         finite-state automata, but rather into certain kinds
                         of reversal-bounded Turing machines. Using this
                         translation we show that the model checking problem
                         for our logic is EXPSPACE-Complete, and is even
                         PSPACE-Complete if timing constraints are encoded in
                         unary.},
}
[BMO+08] Patricia Bouyer, Nicolas Markey, Joël Ouaknine et James Worrell. On Expressiveness and Complexity in Real-time Model Checking. In ICALP'08, Lecture Notes in Computer Science 5126, pages 124-135. Springer-Verlag, juillet 2008.
Résumé

Metric Interval Temporal Logic (MITL) is a popular formalism for expressing real-time specifications. This logic achieves decidability by restricting the precision of timing constraints, in particular, by banning so-called punctual specifications. In this paper we introduce a significantly more expressive logic that can express a wide variety of punctual specifications, but whose model-checking problem has the same complexity as that of MITL. We conclude that for model checking the most commonly occurring specifications, such as invariance and bounded response, punctuality can be accommodated at no cost.

@inproceedings{icalp2008-BMOW,
  author =              {Bouyer, Patricia and Markey, Nicolas and Ouaknine,
                         Jo{\"e}l and Worrell, James},
  title =               {On Expressiveness and Complexity in Real-time Model
                         Checking},
  editor =              {Aceto, Luca and Damg{\aa}rd, Ivan and Goldberg,
                         Leslie Ann and Halld{\'o}rsson, Magn{\'u}s M. and
                         Ing{\'o}lfsd{\'o}ttir, Anna and Walukiewicz, Igor},
  booktitle =           {{P}roceedings of the 35th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'08)~-- Part~{II}},
  acronym =             {{ICALP}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5126},
  pages =               {124-135},
  year =                {2008},
  month =               jul,
  doi =                 {10.1007/978-3-540-70583-3_11},
  abstract =            {Metric Interval Temporal Logic (MITL) is a popular
                         formalism for expressing real-time specifications.
                         This logic achieves decidability by restricting the
                         precision of timing constraints, in particular, by
                         banning so-called \emph{punctual} specifications.
                         In~this paper we~introduce a significantly more
                         expressive logic that can express a wide variety of
                         punctual specifications, but whose model-checking
                         problem has the same complexity as that of~MITL.
                         We~conclude that for model checking the most
                         commonly occurring specifications, such as
                         invariance and bounded response, punctuality can be
                         accommodated at no cost.},
}
[BMP10] Laura Bozzelli, Aniello Murano et Adriano Peron. Pushdown module checking. Formal Methods in System Design 36(1):65-95. Springer-Verlag, février 2010.
@article{fmsd36(1)-BMP,
  author =              {Bozzelli, Laura and Murano, Aniello and Peron,
                         Adriano},
  title =               {Pushdown module checking},
  publisher =           {Springer-Verlag},
  journal =             {Formal Methods in System Design},
  volume =              {36},
  number =              {1},
  pages =               {65-95},
  year =                {2010},
  month =               feb,
}
[BMP+15] Patricia Bouyer, Nicolas Markey, Nicolas Perrin et Philipp Schlehuber-Caissier. Timed automata abstraction of switched dynamical systems using control funnels. In FORMATS'15, Lecture Notes in Computer Science 9268, pages 60-75. Springer-Verlag, septembre 2015.
Résumé

The development of formal methods for control design is an important challenge with potential applications in a wide range of safety-critical cyber-physical systems. Focusing on switched dynamical systems, we propose a new abstraction, based on time-varying regions of invariance (the control funnels), that models behaviors of systems as timed automata. The main advantage of this method is that it allows automated verification of formal specifications and reactive controller synthesis without discretizing the evolution of the state of the system. Efficient constructions are possible in the case of linear dynamics. We demonstrate the potential of our approach with two examples.

@inproceedings{formats2015-BMPS,
  author =              {Bouyer, Patricia and Markey, Nicolas and Perrin,
                         Nicolas and Schlehuber{-}Caissier, Philipp},
  title =               {Timed automata abstraction of switched dynamical
                         systems using control funnels},
  editor =              {Sankaranarayanan, Sriram and Vicario, Enrico},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'15)},
  acronym =             {{FORMATS}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9268},
  pages =               {60-75},
  year =                {2015},
  month =               sep,
  doi =                 {10.1007/978-3-319-22975-1_5},
  abstract =            {The~development of formal methods for control design
                         is an important challenge with potential
                         applications in a wide range of safety-critical
                         cyber-physical systems. Focusing on switched
                         dynamical systems, we~propose a new abstraction,
                         based on time-varying regions of invariance
                         (the~\emph{control funnels}), that models behaviors
                         of systems as timed automata. The main advantage of
                         this method is that it allows automated verification
                         of formal specifications and reactive controller
                         synthesis without discretizing the evolution of the
                         state of the system. Efficient constructions are
                         possible in the case of linear dynamics.
                         We~demonstrate the potential of our approach with
                         two examples.},
}
[BMP+17] Patricia Bouyer, Nicolas Markey, Nicolas Perrin et Philipp Schlehuber-Caissier. Timed automata abstraction of switched dynamical systems using control funnels. Real-Time Systems 53(3):327-353. Kluwer Academic, mai 2017.
Résumé

The development of formal methods for control design is an important challenge with potential applications in a wide range of safety-critical cyber-physical systems. Focusing on switched dynamical systems, we propose a new abstraction, based on time-varying regions of invariance (control funnels), that models behaviors of systems as timed automata. The main advantage of this method is that it allows for the automated verification and reactive controller synthesis without discretizing the evolution of the state of the system. Efficient and analytic constructions are possible in the case of linear dynamics whereas bounding funnels with conjectured properties based on numerical simulations can be used for general nonlinear dynamics. We demonstrate the potential of our approach with three examples.

@article{rts53(3)-BMPS,
  author =              {Bouyer, Patricia and Markey, Nicolas and Perrin,
                         Nicolas and Schlehuber{-}Caissier, Philipp},
  title =               {Timed automata abstraction of switched dynamical
                         systems using control funnels},
  publisher =           {Kluwer Academic},
  journal =             {Real-Time Systems},
  volume =              {53},
  number =              {3},
  pages =               {327-353},
  year =                {2017},
  month =               may,
  doi =                 {10.1007/s11241-016-9262-3},
  abstract =            {The development of formal methods for control design
                         is an important challenge with potential
                         applications in a wide range of safety-critical
                         cyber-physical systems. Focusing on switched
                         dynamical systems, we propose a new abstraction,
                         based on time-varying regions of invariance (control
                         funnels), that models behaviors of systems as timed
                         automata. The~main advantage of this method is that
                         it allows for the automated verification and
                         reactive controller synthesis without discretizing
                         the evolution of the state of the system. Efficient
                         and analytic constructions are possible in the case
                         of linear dynamics whereas bounding funnels with
                         conjectured properties based on numerical
                         simulations can be used for general nonlinear
                         dynamics. We~demonstrate the potential of our
                         approach with three examples.},
}
[BMP+97] Martin Beaudry, Pierre McKenzie, Pierre Péladeau et Denis Thérien. Finite Monoids: From Word to Circuit Evaluation. SIAM Journal on Computing 26(1):138-152. Society for Industrial and Applied Math., février 1997.
@article{siamcomp26(1)-BMPT,
  author =              {Beaudry, Martin and McKenzie, Pierre and
                         P{\'e}ladeau, Pierre and Th{\'e}rien, Denis},
  title =               {Finite Monoids: From Word to Circuit Evaluation},
  publisher =           {Society for Industrial and Applied Math.},
  journal =             {SIAM Journal on Computing},
  volume =              {26},
  number =              {1},
  pages =               {138-152},
  year =                {1997},
  month =               feb,
}
[BMR06] Patricia Bouyer, Nicolas Markey et Pierre-Alain Reynier. Robust Model-Checking of Linear-Time Properties in Timed Automata. In LATIN'06, Lecture Notes in Computer Science 3887, pages 238-249. Springer-Verlag, mars 2006.
Résumé

Formal verification of timed systems is well understood, but their implementation is still challenging. Recent works by Raskin et al. have brought out a model of parameterized timed automata that can be used to prove implementability of timed systems for safety properties. We define here a more general notion of robust model-checking for linear-time properties, which consists in verifying whether a property still holds even if the transitions are slightly delayed or expedited. We provide PSPACE algorithms for the robust model-checking of Büchi-like and LTL properties. We also verify bounded-response-time properties.

@inproceedings{latin2006-BMR,
  author =              {Bouyer, Patricia and Markey, Nicolas and Reynier,
                         Pierre-Alain},
  title =               {Robust Model-Checking of Linear-Time Properties in
                         Timed Automata},
  editor =              {Correa, Jos{\'e} R. and Hevia, Alejandro and Kiwi,
                         Marcos},
  booktitle =           {{P}roceedings of the 7th {L}atin {A}merican
                         {S}ymposium on {T}heoretical {IN}formatics
                         ({LATIN}'06)},
  acronym =             {{LATIN}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3887},
  pages =               {238-249},
  year =                {2006},
  month =               mar,
  doi =                 {10.1007/11682462_25},
  abstract =            {Formal verification of timed systems is well
                         understood, but their \emph{implementation} is still
                         challenging. Recent works by Raskin \emph{et al.}
                         have brought out a model of parameterized timed
                         automata that can be used to prove
                         \emph{implementability} of timed systems for safety
                         properties. We define here a more general notion of
                         robust model-checking for linear-time properties,
                         which consists in verifying whether a property still
                         holds even if the transitions are slightly delayed
                         or expedited. We provide PSPACE algorithms for the
                         robust model-checking of B{\"u}chi-like and LTL
                         properties. We also verify bounded-response-time
                         properties.},
}
[BMR08] Patricia Bouyer, Nicolas Markey et Pierre-Alain Reynier. Robust Analysis of Timed Automata via Channel Machines. In FoSSaCS'08, Lecture Notes in Computer Science 4962, pages 157-171. Springer-Verlag, mars 2008.
Résumé

Whereas formal verification of timed systems has become a very active field of research, the idealised mathematical semantics of timed automata cannot be faithfully implemented. Several works have thus focused on a modified semantics of timed automata which ensures implementability, and robust model-checking algorithms for safety, and later LTL properties have been designed. Recently, a new approach has been proposed, which reduces (standard) model-checking of timed automata to other verification problems on channel machines. Thanks to a new encoding of the modified semantics as a network of timed systems, we propose an original combination of both approaches, and prove that robust model-checking for coFlat-MTL, a large fragment of MTL, is EXPSPACE-Complete.

@inproceedings{fossacs2008-BMR,
  author =              {Bouyer, Patricia and Markey, Nicolas and Reynier,
                         Pierre-Alain},
  title =               {Robust Analysis of Timed Automata via Channel
                         Machines},
  editor =              {Amadio, Roberto},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'08)},
  acronym =             {{FoSSaCS}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4962},
  pages =               {157-171},
  year =                {2008},
  month =               mar,
  doi =                 {10.1007/978-3-540-78499-9_12},
  abstract =            {Whereas formal verification of timed systems has
                         become a very active field of research, the
                         idealised mathematical semantics of timed automata
                         cannot be faithfully implemented. Several works have
                         thus focused on a modified semantics of timed
                         automata which ensures implementability, and robust
                         model-checking algorithms for safety, and later LTL
                         properties have been designed. Recently, a~new
                         approach has been proposed, which reduces (standard)
                         model-checking of timed automata to other
                         verification problems on channel machines. Thanks to
                         a new encoding of the modified semantics as a
                         network of timed systems, we propose an original
                         combination of both approaches, and prove that
                         robust model-checking for coFlat-MTL, a large
                         fragment of~MTL, is EXPSPACE-Complete.},
}
[BMR14] Véronique Bruyère, Noëmie Meunier et Jean-François Raskin. Secure Equilibria in Weighted Games. In CSL/ LICS'14. ACM Press, juillet 2014.
@inproceedings{csllics2014-BMR,
  author =              {Bruy{\`e}re, V{\'e}ronique and Meunier, No{\"e}mie
                         and Raskin, Jean-Fran{\c c}ois},
  title =               {Secure Equilibria in Weighted Games},
  booktitle =           {{P}roceedings of the Joint Meeting of the 23rd
                         {EACSL} {A}nnual {C}onference on {C}omputer
                         {S}cience {L}ogic and the 29th {A}nnual {ACM\slash
                         IEEE} {S}ymposium on {L}ogic {I}n {C}omputer
                         {S}cience ({CSL\slash LICS}'14)},
  acronym =             {{CSL\slash LICS}'14},
  publisher =           {ACM Press},
  chapter =             {26},
  year =                {2014},
  month =               jul,
  doi =                 {10.1145/2603088.2603109},
}
[BMR+15] Patricia Bouyer, Nicolas Markey, Mickael Randour, Kim Guldstrand Larsen et Simon Laursen. Average-energy games. In GandALF'15, Electronic Proceedings in Theoretical Computer Science 193, pages 1-15. Septembre 2015.
Résumé

Two-player quantitative zero-sum games provide a natural framework to synthesize controllers with performance guarantees for reactive systems within an uncontrollable environment. Classical settings include mean-payoff games, where the objective is to optimize the long-run average gain per action, and energy games, where the system has to avoid running out of energy.

We study average-energy games, where the goal is to optimize the long-run average of the accumulated energy. We show that this objective arises naturally in several applications, and that it yields interesting connections with previous concepts in the literature. We prove that deciding the winner in such games is in NPcoNP and at least as hard as solving mean-payoff games, and we establish that memoryless strategies suffice to win. We also consider the case where the system has to minimize the average-energy while maintaining the accumulated energy within predefined bounds at all times: this corresponds to operating with a finite-capacity storage for energy. We give results for one-player and two-player games, and establish complexity bounds and memory requirements.

@inproceedings{gandalf2015-BMRLL,
  author =              {Bouyer, Patricia and Markey, Nicolas and Randour,
                         Mickael and Larsen, Kim Guldstrand and Laursen,
                         Simon},
  title =               {Average-energy games},
  editor =              {Esparza, Javier and Tronci, Enrico},
  booktitle =           {{P}roceedings of the 6th {I}nternational {S}ymposium
                         on {G}ames, {A}utomata, {L}ogics and {F}ormal
                         {V}erification ({GandALF}'15)},
  acronym =             {{GandALF}'15},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {193},
  pages =               {1-15},
  year =                {2015},
  month =               sep,
  doi =                 {10.4204/EPTCS.193.1},
  abstract =            {Two-player quantitative zero-sum games provide a
                         natural framework to synthesize controllers with
                         performance guarantees for reactive systems within
                         an uncontrollable environment. Classical settings
                         include mean-payoff games, where the objective is to
                         optimize the long-run average gain per action, and
                         energy games, where the system has to avoid running
                         out of energy.\par We study \emph{average-energy}
                         games, where the goal is to optimize the long-run
                         average of the accumulated energy. We show that this
                         objective arises naturally in several applications,
                         and that it yields interesting connections with
                         previous concepts in the literature. We prove that
                         deciding the winner in such games is in
                         \textsf{NP}{{\(\cap\)}}\textsf{coNP} and at least as
                         hard as solving mean-payoff games, and we establish
                         that memoryless strategies suffice to win. We also
                         consider the case where the system has to minimize
                         the average-energy while maintaining the accumulated
                         energy within predefined bounds at all times: this
                         corresponds to operating with a finite-capacity
                         storage for energy. We give results for one-player
                         and two-player games, and establish complexity
                         bounds and memory requirements.},
}
[BMR+18] Patricia Bouyer, Nicolas Markey, Mickael Randour, Kim Guldstrand Larsen et Simon Laursen. Average-energy games. Acta Informatica 55(2):91-127. Springer-Verlag, mars 2018.
Résumé

Two-player quantitative zero-sum games provide a natural framework to synthesize controllers with performance guarantees for reactive systems within an uncontrollable environment. Classical settings include mean-payoff games, where the objective is to optimize the long-run average gain per action, and energy games, where the system has to avoid running out of energy. We study average-energy games, where the goal is to optimize the long-run average of the accumulated energy. We show that this objective arises naturally in several applications, and that it yields interesting connections with previous concepts in the literature. We prove that deciding the winner in such games is in NP∩coNP and at least as hard as solving mean-payoff games, and we establish that memoryless strategies suffice to win. We also consider the case where the system has to minimize the average-energy while maintaining the accumulated energy within predefined bounds at all times: this corresponds to operating with a finite-capacity storage for energy. We give results for one-player and two-player games, and establish complexity bounds and memory requirements.

@article{acta55(2)-BMRLL,
  author =              {Bouyer, Patricia and Markey, Nicolas and Randour,
                         Mickael and Larsen, Kim Guldstrand and Laursen,
                         Simon},
  title =               {Average-energy games},
  publisher =           {Springer-Verlag},
  journal =             {Acta Informatica},
  volume =              {55},
  number =              {2},
  pages =               {91-127},
  year =                {2018},
  month =               mar,
  doi =                 {10.1007/s00236-016-0274-1},
  abstract =            {Two-player quantitative zero-sum games provide a
                         natural framework to synthesize controllers with
                         performance guarantees for reactive systems within
                         an uncontrollable environment. Classical settings
                         include mean-payoff games, where the objective is to
                         optimize the long-run average gain per action, and
                         energy games, where the system has to avoid running
                         out of energy. We study average-energy games, where
                         the goal is to optimize the long-run average of the
                         accumulated energy. We show that this objective
                         arises naturally in several applications, and that
                         it yields interesting connections with previous
                         concepts in the literature. We prove that deciding
                         the winner in such games is in
                         \(\textsf{NP}\cap\textsf{coNP}\) and at least as
                         hard as solving mean-payoff games, and we establish
                         that memoryless strategies suffice to win. We also
                         consider the case where the system has to minimize
                         the average-energy while maintaining the accumulated
                         energy within predefined bounds at all times: this
                         corresponds to operating with a finite-capacity
                         storage for energy. We give results for one-player
                         and two-player games, and establish complexity
                         bounds and memory requirements.},
}
[BMR+16] Patricia Bouyer, Nicolas Markey, Mickael Randour, Arnaud Sangnier et Daniel Stan. Reachability in Networks of Register Protocols under Stochastic Schedulers. In ICALP'16, Leibniz International Proceedings in Informatics 55, pages 106:1-106:14. Leibniz-Zentrum für Informatik, juillet 2016.
Résumé

We study the almost-sure reachability problem in a distributed system obtained as the asynchronous composition of N copies (called processes) of the same automaton (called protocol), that can communicate via a shared register with finite domain. The automaton has two types of transitions: write-transitions update the value of the register, while read-transitions move to a new state depending on the content of the register. Non-determinism is resolved by a stochastic scheduler. Given a protocol, we focus on almost-sure reachability of a target state by one of the processes. The answer to this problem naturally depends on the number N of processes. However, we prove that our setting has a cut-off property : the answer to the almost-sure reachability problem is constant when N is large enough; we then develop an EXPSPACE algorithm deciding whether this constant answer is positive or negative.

@inproceedings{icalp2016-BMRSS,
  author =              {Bouyer, Patricia and Markey, Nicolas and Randour,
                         Mickael and Sangnier, Arnaud and Stan, Daniel},
  title =               {Reachability in Networks of Register Protocols under
                         Stochastic Schedulers},
  editor =              {Chatzigiannakis, Ioannis and Mitzenmacher, Michael
                         and Rabani, Yuval and Sangiorgi, Davide},
  booktitle =           {{P}roceedings of the 43rd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'16)~-- Part~{II}},
  acronym =             {{ICALP}'16},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {55},
  pages =               {106:1-106:14},
  year =                {2016},
  month =               jul,
  doi =                 {10.4230/LIPIcs.ICALP.2016.106},
  abstract =            {We study the almost-sure reachability problem in a
                         distributed system obtained as the asynchronous
                         composition of~\(N\) copies (called
                         \emph{processes}) of the same automaton (called
                         \emph{protocol}), that can communicate via a shared
                         register with finite domain. The automaton has two
                         types of transitions: write-transitions update the
                         value of the register, while read-transitions move
                         to a new state depending on the content of the
                         register. Non-determinism is resolved by a
                         stochastic scheduler. Given a protocol, we focus on
                         almost-sure reachability of a target state by one of
                         the processes. The answer to this problem naturally
                         depends on the number~\(N\) of processes. However,
                         we prove that our setting has a cut-off property :
                         the answer to the almost-sure reachability problem
                         is constant when \(N\) is large enough; we~then
                         develop an EXPSPACE algorithm deciding whether this
                         constant answer is positive or negative.},
}
[BMS11] Patricia Bouyer, Nicolas Markey et Ocan Sankur. Robust Model-Checking of Timed Automata via Pumping in Channel Machines. In FORMATS'11, Lecture Notes in Computer Science 6919, pages 97-112. Springer-Verlag, septembre 2011.
Résumé

Timed automata are governed by a mathematical semantics which assumes perfectly continuous and precise clocks. This requirement is not satised by digital hardware on which the models are implemented. In fact, it was shown that the presence of imprecisions, however small they may be, may yield extra behaviours. Therefore correctness proven on the formal model does not imply correctness of the real system.

The problem of robust model-checking was then dened to circumvent this inconsistency. It consists in computing a bound on the imprecision under which the system will be correct.

In this work, we show that robust model-checking against ω-regular properties for timed automata can be reduced to standard model-checking of timed automata, by computing an adequate bound on the imprecision. This yields a new algorithm for robust model-checking of ω-regular properties, which is both optimal and valid for general timed automata.

@inproceedings{formats2011-BMS,
  author =              {Bouyer, Patricia and Markey, Nicolas and Sankur,
                         Ocan},
  title =               {Robust Model-Checking of Timed Automata via Pumping
                         in Channel Machines},
  editor =              {Fahrenberg, Uli and Tripakis, Stavros},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'11)},
  acronym =             {{FORMATS}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6919},
  pages =               {97-112},
  year =                {2011},
  month =               sep,
  doi =                 {10.1007/978-3-642-24310-3_8},
  abstract =            {Timed automata are governed by a mathematical
                         semantics which assumes perfectly continuous and
                         precise clocks. This requirement is not satised by
                         digital hardware on which the models are
                         implemented. In~fact, it~was shown that the presence
                         of imprecisions, however small they may be, may
                         yield extra behaviours. Therefore correctness proven
                         on the formal model does not imply correctness of
                         the real system.\par The problem of robust
                         model-checking was then dened to circumvent this
                         inconsistency. It consists in computing a bound on
                         the imprecision under which the system will be
                         correct.\par In this work, we show that robust
                         model-checking against \(\omega\)-regular properties
                         for timed automata can be reduced to standard
                         model-checking of timed automata, by computing an
                         adequate bound on the imprecision. This yields a new
                         algorithm for robust model-checking of
                         \(\omega\)-regular properties, which is both optimal
                         and valid for general timed automata.},
}
[BMS12] Patricia Bouyer, Nicolas Markey et Ocan Sankur. Robust reachability in timed automata: a game-based approach. In ICALP'12, Lecture Notes in Computer Science 7392, pages 128-140. Springer-Verlag, juillet 2012.
Résumé

Reachability checking is one of the most basic problems in verification. By solving this problem, one synthesizes a strategy that dictates the actions to be performed for ensuring that the target location is reached. In this work, we are interested in synthesizing "robust" strategies for ensuring reachability of a location in a timed automaton; with "robust", we mean that it must still ensure reachability even when the delays are perturbed by the environment. We model this perturbed semantics as a game between the controller and its environment, and solve the parameterized robust reachability problem: we show that the existence of an upper bound on the perturbations under which there is a strategy reaching a target location is EXPTIME-complete.

@inproceedings{icalp2012-BMS,
  author =              {Bouyer, Patricia and Markey, Nicolas and Sankur,
                         Ocan},
  title =               {Robust reachability in timed automata: a~game-based
                         approach},
  editor =              {Czumaj, Artur and Mehlhorn, Kurt and Pitts, Andrew
                         and Wattenhofer, Roger},
  booktitle =           {{P}roceedings of the 39th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'12)~-- Part~{II}},
  acronym =             {{ICALP}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7392},
  pages =               {128-140},
  year =                {2012},
  month =               jul,
  doi =                 {10.1007/978-3-642-31585-5_15},
  abstract =            {Reachability checking is one of the most basic
                         problems in verification. By solving this problem,
                         one synthesizes a strategy that dictates the actions
                         to be performed for ensuring that the target
                         location is reached. In this work, we are interested
                         in synthesizing {"}robust{"} strategies for ensuring
                         reachability of a location in a timed automaton;
                         with {"}robust{"}, we mean that it must still ensure
                         reachability even when the delays are perturbed by
                         the environment. We model this perturbed semantics
                         as a game between the controller and its
                         environment, and solve the parameterized robust
                         reachability problem: we show that the existence of
                         an upper bound on the perturbations under which
                         there is a strategy reaching a target location is
                         EXPTIME-complete.},
}
[BMS13] Patricia Bouyer, Nicolas Markey et Ocan Sankur. Robustness in timed automata. In RP'13, Lecture Notes in Computer Science 8169, pages 1-18. Springer-Verlag, septembre 2013.
Résumé

In this paper we survey several approaches to the robustness of timed automata, that is, the ability of a system to resist to slight perturbations or errors. We will concentrate on robustness against timing errors which can be due to measuring errors, imprecise clocks, and unexpected runtime behaviors such as execution times that are longer or shorter than expected.

We consider the perturbation model of guard enlargement and formulate several robust verification problems that have been studied recently, including robustness analysis, robust implementation, and robust control.

@inproceedings{rp2013-BMS,
  author =              {Bouyer, Patricia and Markey, Nicolas and Sankur,
                         Ocan},
  title =               {Robustness in timed automata},
  editor =              {Abdulla, Parosh Aziz and Potapov, Igor},
  booktitle =           {{P}roceedings of the 7th {W}orkshop on
                         {R}eachability {P}roblems in {C}omputational
                         {M}odels ({RP}'13)},
  acronym =             {{RP}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8169},
  pages =               {1-18},
  year =                {2013},
  month =               sep,
  doi =                 {10.1007/978-3-642-41036-9_1},
  abstract =            {In this paper we survey several approaches to the
                         robustness of timed automata, that~is, the ability
                         of a system to resist to slight perturbations or
                         errors. We will concentrate on robustness against
                         timing errors which can be due to measuring errors,
                         imprecise clocks, and unexpected runtime behaviors
                         such as execution times that are longer or shorter
                         than expected.\par We consider the perturbation
                         model of guard enlargement and formulate several
                         robust verification problems that have been studied
                         recently, including robustness analysis, robust
                         implementation, and robust control.},
}
[BMS13] Patricia Bouyer, Nicolas Markey et Ocan Sankur. Robust Weighted Timed Automata and Games. In FORMATS'13, Lecture Notes in Computer Science 8053, pages 31-46. Springer-Verlag, août 2013.
Résumé

Weighted timed automata extend timed automata with cost variables that can be used to model the evolution of various quantities. Although cost-optimal reachability is decidable (in polynomial space) on this model, it becomes undecidable on weighted timed games. This paper studies cost-optimal reachability problems on weighted timed automata and games under robust semantics. More precisely, we consider two perturbation game semantics that introduce imprecisions in the standard semantics, and bring robustness properties w.r.t. timing imprecisions to controllers. We give a polynomial-space algorithm for weighted timed automata, and prove the undecidability of cost-optimal reachability on weighted timed games, showing that the problem is robustly undecidable.

@inproceedings{formats2013-BMS,
  author =              {Bouyer, Patricia and Markey, Nicolas and Sankur,
                         Ocan},
  title =               {Robust Weighted Timed Automata and Games},
  editor =              {Braberman, V{\'\i}ctor and Fribourg, Laurent},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'13)},
  acronym =             {{FORMATS}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8053},
  pages =               {31-46},
  year =                {2013},
  month =               aug,
  doi =                 {10.1007/978-3-642-40229-6_3},
  abstract =            {Weighted timed automata extend timed automata with
                         cost variables that can be used to model the
                         evolution of various quantities. Although
                         cost-optimal reachability is decidable (in
                         polynomial space) on this model, it becomes
                         undecidable on weighted timed games. This paper
                         studies cost-optimal reachability problems on
                         weighted timed automata and games under robust
                         semantics. More precisely, we consider two
                         perturbation game semantics that introduce
                         imprecisions in the standard semantics, and bring
                         robustness properties w.r.t. timing imprecisions to
                         controllers. We give a polynomial-space algorithm
                         for weighted timed automata, and prove the
                         undecidability of cost-optimal reachability on
                         weighted timed games, showing that the problem is
                         robustly undecidable.},
}
[BMS14] Patricia Bouyer, Nicolas Markey et Daniel Stan. Mixed Nash Equilibria in Concurrent Games. In FSTTCS'14, Leibniz International Proceedings in Informatics 29, pages 351-363. Leibniz-Zentrum für Informatik, décembre 2014.
Résumé

We study mixed-strategy Nash equilibria in multiplayer deterministic concurrent games played on graphs, with terminal-reward payoffs (that is, absorbing states with a value for each player). We show undecidability of the existence of a constrained Nash equilibrium (the constraint requiring that one player should have maximal payoff), with only three players and 0/1-rewards (i.e., reachability objectives). This has to be compared with the undecidability result by Ummels and Wojtczak for turn-based games which requires 14 players and general rewards. Our proof has various interesting consequences: (i) the undecidability of the existence of a Nash equilibrium with a constraint on the social welfare; (ii) the undecidability of the existence of an (unconstrained) Nash equilibrium in concurrent games with terminal-reward payoffs.

@inproceedings{fsttcs2014-BMS,
  author =              {Bouyer, Patricia and Markey, Nicolas and Stan,
                         Daniel},
  title =               {Mixed {N}ash Equilibria in Concurrent Games},
  editor =              {Raman, Venkatesh and Suresh, S. P.},
  booktitle =           {{P}roceedings of the 34th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'14)},
  acronym =             {{FSTTCS}'14},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {29},
  pages =               {351-363},
  year =                {2014},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2014.351},
  abstract =            {We study mixed-strategy Nash equilibria in
                         multiplayer deterministic concurrent games played on
                         graphs, with terminal-reward payoffs (that is,
                         absorbing states with a value for each player). We
                         show undecidability of the existence of a
                         constrained Nash equilibrium (the constraint
                         requiring that one player should have maximal
                         payoff), with only three players and 0/1-rewards
                         (i.e., reachability objectives). This has to be
                         compared with the undecidability result by Ummels
                         and Wojtczak for turn-based games which requires 14
                         players and general rewards. Our proof has various
                         interesting consequences: (i)~the~undecidability of
                         the existence of a Nash equilibrium with a
                         constraint on the social welfare;
                         (ii)~the~undecidability of the existence of an
                         (unconstrained) Nash equilibrium in concurrent games
                         with terminal-reward payoffs.},
}
[BMS15] Patricia Bouyer, Nicolas Markey et Ocan Sankur. Robust Reachability in Timed Automata and Games: A Game-based Approach. Theoretical Computer Science 563:43-74. Elsevier, janvier 2015.
Résumé

Reachability checking is one of the most basic problems in verification. By solving this problem in a game, one can synthesize a strategy that dictates the actions to be performed for ensuring that the target location is reached. In this work, we are interested in synthesizing "robust" strategies for ensuring reachability of a location in timed automata. By robust, we mean that it must still ensure reachability even when the delays are perturbed by the environment. We model this perturbed semantics as a game between the controller and its environment, and solve the parameterized robust reachability problem: we show that the existence of an upper bound on the perturbations under which there is a strategy reaching a target location is EXPTIME-complete. We also extend our algorithm, with the same complexity, to turn-based timed games, where the successor state is entirely determined by the environment in some locations.

@article{tcs563()-BMS,
  author =              {Bouyer, Patricia and Markey, Nicolas and Sankur,
                         Ocan},
  title =               {Robust Reachability in Timed Automata and Games:
                         A~Game-based Approach},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {563},
  pages =               {43-74},
  year =                {2015},
  month =               jan,
  doi =                 {10.1016/j.tcs.2014.08.014},
  abstract =            {Reachability checking is one of the most basic
                         problems in verification. By solving this problem in
                         a game, one can synthesize a strategy that dictates
                         the actions to be performed for ensuring that the
                         target location is reached. In this work, we are
                         interested in synthesizing {"}robust{"} strategies
                         for ensuring reachability of a location in timed
                         automata. By robust, we mean that it must still
                         ensure reachability even when the delays are
                         perturbed by the environment. We model this
                         perturbed semantics as a game between the controller
                         and its environment, and solve the parameterized
                         robust reachability problem: we show that the
                         existence of an upper bound on the perturbations
                         under which there is a strategy reaching a target
                         location is EXPTIME-complete. We also extend our
                         algorithm, with the same complexity, to turn-based
                         timed games, where the successor state is entirely
                         determined by the environment in some locations.},
}
[BMS16] Patricia Bouyer, Nicolas Markey et Daniel Stan. Stochastic Equilibria under Imprecise Deviations in Terminal-Reward Concurrent Games. In GandALF'16, Electronic Proceedings in Theoretical Computer Science 226, pages 61-75. Septembre 2016.
Résumé

We study the existence of mixed-strategy equilibria in concurrent games played on graphs. While existence is guaranteed with safety objectives for each player, Nash equilibria need not exist when players are given arbitrary terminal-reward objectives, and their existence is undecidable with qualitative reachability objectives (and only three players). However, these results rely on the fact that the players can enforce infinite plays while trying to improve their payoffs. In this paper, we introduce a relaxed notion of equilibria, where deviations are imprecise. We prove that contrary to Nash equilibria, such (stationary) equilibria always exist, and we develop a PSPACE algorithm to compute one.

@inproceedings{gandalf2016-BMS,
  author =              {Bouyer, Patricia and Markey, Nicolas and Stan,
                         Daniel},
  title =               {Stochastic Equilibria under Imprecise Deviations in
                         Terminal-Reward Concurrent Games},
  editor =              {Cantone, Domenico and Delzanno, Giorgio},
  booktitle =           {{P}roceedings of the 7th {I}nternational {S}ymposium
                         on {G}ames, {A}utomata, {L}ogics and {F}ormal
                         {V}erification ({GandALF}'16)},
  acronym =             {{GandALF}'16},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {226},
  pages =               {61-75},
  year =                {2016},
  month =               sep,
  doi =                 {10.4204/EPTCS.226.5},
  abstract =            {We study the existence of mixed-strategy equilibria
                         in concurrent games played on graphs. While
                         existence is guaranteed with safety objectives for
                         each player, Nash equilibria need not exist when
                         players are given arbitrary terminal-reward
                         objectives, and their existence is undecidable with
                         qualitative reachability objectives (and~only three
                         players). However, these results rely on the fact
                         that the players can enforce infinite plays while
                         trying to improve their payoffs. In this paper, we
                         introduce a relaxed notion of equilibria, where
                         deviations are imprecise. We prove that contrary to
                         Nash equilibria, such (stationary) equilibria always
                         exist, and we develop a PSPACE algorithm to compute
                         one.},
}
[BMS+20] Nathalie Bertrand, Nicolas Markey, Suman Sadhukhan et Ocan Sankur. Dynamic network congestion games. In FSTTCS'20, Leibniz International Proceedings in Informatics 182, pages 40:1-40:16. Leibniz-Zentrum für Informatik, décembre 2020.
Résumé

Congestion games are a classical type of games studied in game theory, in which n players choose a resource, and their individual cost increases with the number of other players choosing the same resource. In network congestion games (NCGs), the resources correspond to simple paths in a graph, e.g. representing routing options from a source to a target. In this paper, we introduce a variant of NCGs, referred to as dynamic NCGs: in this setting, players take transitions synchronously, they select their next transitions dynamically, and they are charged a cost that depends on the number of players simultaneously using the same transition.

We study, from a complexity perspective, standard concepts of game theory in dynamic NCGs: social optima, Nash equilibria, and subgame perfect equilibria. Our contributions are the following: the existence of a strategy profile with social cost bounded by a constant is in PSPACE and NP-hard. (Pure) Nash equilibria always exist in dynamic NCGs; the existence of a Nash equilibrium with bounded cost can be decided in EXPSPACE, and computing a witnessing strategy profile can be done in doubly-exponential time. The existence of a subgame perfect equilibrium with bounded cost can be decided in 2EXPSPACE, and a witnessing strategy profile can be computed in triply-exponential time.

@inproceedings{fsttcs2020-BMSS,
  author =              {Bertrand, Nathalie and Markey, Nicolas and
                         Sadhukhan, Suman and Sankur, Ocan},
  title =               {Dynamic network congestion games},
  editor =              {Saxena, Nitin and Simon, Sunil},
  booktitle =           {{P}roceedings of the 40th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'20)},
  acronym =             {{FSTTCS}'20},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {182},
  pages =               {40:1-40:16},
  year =                {2020},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2020.40},
  abstract =            {Congestion games are a classical type of games
                         studied in game theory, in which n players choose a
                         resource, and their individual cost increases with
                         the number of other players choosing the same
                         resource. In network congestion games~(NCGs), the
                         resources correspond to simple paths in a graph,
                         e.g.~representing routing options from a source to a
                         target. In this paper, we introduce a variant
                         of~NCGs, referred to as dynamic~NCGs: in~this
                         setting, players take transitions synchronously,
                         they select their next transitions dynamically, and
                         they are charged a cost that depends on the number
                         of players simultaneously using the same transition.
                         \par We~study, from a complexity perspective,
                         standard concepts of game theory in dynamic NCGs:
                         social optima, Nash equilibria, and subgame perfect
                         equilibria. Our contributions are the following: the
                         existence of a strategy profile with social cost
                         bounded by a constant is in PSPACE and NP-hard.
                         (Pure)~Nash equilibria always exist in dynamic~NCGs;
                         the existence of a Nash equilibrium with bounded
                         cost can be decided in EXPSPACE, and computing a
                         witnessing strategy profile can be done in
                         doubly-exponential time. The~existence of a subgame
                         perfect equilibrium with bounded cost can be decided
                         in 2EXPSPACE, and a witnessing strategy profile can
                         be computed in triply-exponential~time.},
}
[BMS+22] Nathalie Bertrand, Nicolas Markey, Suman Sadhukhan et Ocan Sankur. Semilinear Representations for Series-Parallel Atomic Congestion Games. In FSTTCS'22, Leibniz International Proceedings in Informatics 250, pages 32:1-32:20. Leibniz-Zentrum für Informatik, décembre 2022.
Résumé

We consider atomic congestion games on series-parallel networks, and study the structure of the sets of Nash equilibria and social local optima on a given network when the number of players varies. We establish that these sets are definable in Presburger arithmetic and that they admit semilinear representations whose all period vectors have a common direction. As an application, we prove that the prices of anarchy and stability converge to 1 as the number of players goes to infinity, and show how to exploit these semilinear representations to compute these ratios precisely for a given network and number of players.

@inproceedings{fsttcs2022-BMSS,
  author =              {Bertrand, Nathalie and Markey, Nicolas and
                         Sadhukhan, Suman and Sankur, Ocan},
  title =               {Semilinear Representations for Series-Parallel
                         Atomic Congestion Games},
  editor =              {Dawar, Anuj and Guruswami, Venkatesan},
  booktitle =           {{P}roceedings of the 42nd {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'22)},
  acronym =             {{FSTTCS}'22},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {250},
  pages =               {32:1-32:20},
  year =                {2022},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2022.32},
  abstract =            {We~consider atomic congestion games on
                         series-parallel networks, and study the structure of
                         the sets of Nash equilibria and social local optima
                         on a given network when the number of players
                         varies. We establish that these sets are definable
                         in Presburger arithmetic and that they admit
                         semilinear representations whose all period vectors
                         have a common direction. As~an~application, we~prove
                         that the prices of anarchy and stability converge
                         to~1 as the number of players goes to infinity, and
                         show how to exploit these semilinear representations
                         to compute these ratios precisely for a given
                         network and number of players.},
}
[BMS+22] Nathalie Bertrand, Nicolas Markey, Ocan Sankur et Nicolas Waldburger. Parameterized safety verification of round-based shared-memory systems. In ICALP'22, Leibniz International Proceedings in Informatics, pages 113:1-113:20. Leibniz-Zentrum für Informatik, juillet 2022.
Résumé

We consider the parameterized verification problem for distributed algorithms where the goal is to develop techniques to prove the correctness of a given algorithm regardless of the number of participating processes. Motivated by an asynchronous binary consensus algorithm of [J. Aspnes; Fast deterministic consensus in a noisy environment; J. Algorithms, 2002], we consider round-based distributed algorithms communicating with shared memory. A particular challenge in these systems is that 1) the number of processes is unbounded, and, more importantly, 2) there is a fresh set of registers at each round. A verification algorithm thus needs to manage both sources of infinity. In this setting, we prove that the safety verification problem, which consists in deciding whether all possible executions avoid a given error state, is PSPACE-complete. For negative instances of the safety verification problem, we also provide exponential lower and upper bounds on the minimal number of processes needed for an error execution and on the minimal round on which the error state can be covered.

@inproceedings{icalp2022-BMSW,
  author =              {Bertrand, Nathalie and Markey, Nicolas and Sankur,
                         Ocan and Waldburger, Nicolas},
  title =               {Parameterized safety verification of round-based
                         shared-memory systems},
  editor =              {Woodruff, David and Boja{\'n}czyk, Miko{\l}aj},
  booktitle =           {{P}roceedings of the 49th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'22)},
  acronym =             {{ICALP}'22},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  pages =               {113:1-113:20},
  year =                {2022},
  month =               jul,
  doi =                 {10.4230/LIPIcs.ICALP.2022.113},
  abstract =            {We consider the parameterized verification problem
                         for distributed algorithms where the goal is to
                         develop techniques to prove the correctness of a
                         given algorithm regardless of the number of
                         participating processes. Motivated by an
                         asynchronous binary consensus algorithm~of
                         [J.~Aspnes; Fast deterministic consensus in a noisy
                         environment; J.~Algorithms,~2002], we~consider
                         round-based distributed algorithms communicating
                         with shared memory. A~particular challenge in these
                         systems is that 1)~the~number of processes is
                         unbounded, and, more importantly, 2)~there is a
                         fresh set of registers at each round. A~verification
                         algorithm thus needs to manage both sources of
                         infinity. In~this setting, we~prove that the safety
                         verification problem, which consists in deciding
                         whether all possible executions avoid a given error
                         state, is PSPACE-complete. For~negative instances of
                         the safety verification problem, we~also provide
                         exponential lower and upper bounds on the minimal
                         number of processes needed for an error execution
                         and on the minimal round on which the error state
                         can be covered.},
}
[BMT99] Augustin Baziramwabo, Pierre McKenzie et Denis Thérien. Modular Temporal Logic. In LICS'99, pages 344-351. IEEE Comp. Soc. Press, juillet 1999.
@inproceedings{lics1999-BMT,
  author =              {Baziramwabo, Augustin and McKenzie, Pierre and
                         Th{\'e}rien, Denis},
  title =               {Modular Temporal Logic},
  booktitle =           {{P}roceedings of the 14th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'99)},
  acronym =             {{LICS}'99},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {344-351},
  year =                {1999},
  month =               jul,
}
[BMV14] Patricia Bouyer, Nicolas Markey et Steen Vester. Nash Equilibria in Symmetric Games with Partial Observation. In SR'14, Electronic Proceedings in Theoretical Computer Science 146, pages 49-55. Mars 2014.
Résumé

We investigate a model for representing large multiplayer games, which satisfy strong symmetry properties. This model is made of multiple copies of an arena; each player plays in his own arena, and can partially observe what the other players do. Therefore, this game has partial information and symmetry constraints, which make the computation of Nash equilibria difficult. We show several undecidability results, and for bounded-memory strategies, we precisely characterize the complexity of computing pure Nash equilibria (for qualitative objectives) in this game model.

@inproceedings{sr2014-BMV,
  author =              {Bouyer, Patricia and Markey, Nicolas and Vester,
                         Steen},
  title =               {Nash Equilibria in Symmetric Games with Partial
                         Observation},
  booktitle =           {{P}roceedings of the 2nd {I}nternational {W}orkshop
                         on {S}trategic {R}easoning ({SR}'14)},
  acronym =             {{SR}'14},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {146},
  pages =               {49-55},
  year =                {2014},
  month =               mar,
  doi =                 {10.4204/EPTCS.146.7},
  abstract =            {We investigate a model for representing large
                         multiplayer games, which satisfy strong symmetry
                         properties. This model is made of multiple copies of
                         an arena; each player plays in his own arena, and
                         can partially observe what the other players do.
                         Therefore, this game has partial information and
                         symmetry constraints, which make the computation of
                         Nash equilibria difficult. We show several
                         undecidability results, and for bounded-memory
                         strategies, we precisely characterize the complexity
                         of computing pure Nash equilibria (for qualitative
                         objectives) in this game model.},
}
[BMV15] Dietmar Berwanger, Anup Basil Mathew et Marie Van den Bogaard. Hierarchical Information Patterns and Distributed Strategy Synthesis. In ATVA'15, Lecture Notes in Computer Science 9364, pages 378-393. Springer-Verlag, octobre 2015.
@inproceedings{atva2015-BMV,
  author =              {Berwanger, Dietmar and Mathew, Anup Basil and
                         Van{~}den{ }Bogaard, Marie},
  title =               {Hierarchical Information Patterns and Distributed
                         Strategy Synthesis},
  editor =              {Finkbeiner, Bernd and Pu, Geguang and Zhang, Lijun},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {S}ymposium on {A}utomated {T}echnology for
                         {V}erification and {A}nalysis ({ATVA}'15)},
  acronym =             {{ATVA}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9364},
  pages =               {378-393},
  year =                {2015},
  month =               oct,
}
[BMV17] Patricia Bouyer, Nicolas Markey et Steen Vester. Nash Equilibria in Symmetric Graph Games with Partial Observation. Information and Computation 254(2):238-258. Elsevier, juin 2017.
Résumé

We investigate a model for representing large multiplayer games, which satisfy strong symmetry properties. This model is made of multiple copies of an arena; each player plays in his own arena, and can partially observe what the other players do. Therefore, this game has partial information and symmetry constraints, which make the computation of Nash equilibria difficult. We show several undecidability results, and for bounded-memory strategies, we precisely characterize the complexity of computing pure Nash equilibria (for qualitative objectives) in this game model.

@article{icomp254()-BMV,
  author =              {Bouyer, Patricia and Markey, Nicolas and Vester,
                         Steen},
  title =               {{N}ash Equilibria in Symmetric Graph Games with
                         Partial Observation},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {254},
  number =              {2},
  pages =               {238-258},
  year =                {2017},
  month =               jun,
  doi =                 {10.1016/j.ic.2016.10.010},
  abstract =            {We investigate a model for representing large
                         multiplayer games, which satisfy strong symmetry
                         properties. This model is made of multiple copies of
                         an arena; each player plays in his own arena, and
                         can partially observe what the other players do.
                         Therefore, this game has partial information and
                         symmetry constraints, which make the computation of
                         Nash equilibria difficult. We show several
                         undecidability results, and for bounded-memory
                         strategies, we precisely characterize the complexity
                         of computing pure Nash equilibria (for qualitative
                         objectives) in this game model.},
}
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                         {{\(\delta\)}} axis},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {318},
  number =              {1-2},
  pages =               {57-78},
  year =                {2004},
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}
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                         ({FoSSaCS}'08)},
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  volume =              {4962},
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  editor =              {Amadio, Roberto},
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                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'08)},
  acronym =             {{FoSSaCS}'08},
  publisher =           {Springer-Verlag},
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}
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  journal =             {Annals of Mathematics},
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}
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@mastersthesis{dea-Bouyer,
  author =              {Bouyer, Patricia},
  title =               {Automates temporis{\'e}s et modularit{\'e}},
  year =                {1998},
  month =               jun,
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {M\'emoire de D.E.A.},
}
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@techreport{LSV0209-Bou,
  author =              {Bouyer, Patricia},
  title =               {Timed Automata May Cause some Troubles},
  number =              {LSV-02-09},
  year =                {2002},
  month =               jul,
  institution =         {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {Research Report},
}
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  booktitle =           {{P}roceedings of the 20th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'03)},
  acronym =             {{STACS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2607},
  pages =               {620-631},
  year =                {2003},
  month =               feb,
  doi =                 {10.1007/3-540-36494-3_54},
}
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  author =              {Bouyer, Patricia},
  title =               {Forward Analysis of Updatable Timed Automata},
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  journal =             {Formal Methods in System Design},
  volume =              {24},
  number =              {3},
  pages =               {281-320},
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}
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                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'08)},
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                         ({FoSSaCS}'03)},
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                         {P}rinciples of {P}rogramming {L}anguages
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                         Zohar},
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}
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                         Raskin, Jean-Fran{\c c}ois and Sassolas, Mathieu},
  title =               {Admissibility in Quantitative Graph Games},
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                         Sen, Sandeep},
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                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'16)},
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  acronym =             {{FSTTCS}'03},
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  author =              {Brenguier, Romain},
  title =               {Nash Equilibria in Concurrent Games~--Application to
                         Timed Games},
  year =                {2012},
  month =               nov,
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {Th\`ese de doctorat},
}
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  acronym =             {{CONCUR}'16},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
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                         games},
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                         {EACSL} {A}nnual {C}onference on {C}omputer
                         {S}cience {L}ogic and the 29th {A}nnual {ACM\slash
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  title =               {Advances in Asynchronous Circuit Theory Part~{II}:
                         Bounded Inertial Delay Models, {MOS} Circuits,
                         Design Techniques},
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  journal =             {EATCS Bulletin},
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  title =               {Hybrid Languages},
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  journal =             {Journal of Logic, Language and Information},
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}
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  title =               {What are Hybrid Languages?},
  editor =              {Kracht, Marcus and de Rijke, Marteen and Wansing,
                         Heinrich and Zakharyaschev, Michael},
  booktitle =           {{P}roceedings of the 1st {W}orkshop on {A}dvances in
                         {M}odal {L}ogic ({AIML}'96)},
  acronym =             {{AIML}'96},
  publisher =           {CSLI Publications},
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}
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  author =              {Bradfield, Julian C. and Stirling, Colin},
  title =               {Modal Logics and Mu-Calculi: An Introduction},
  editor =              {Bergstra, Jan A. and Ponse, Alban and Smolka, Scott
                         A.},
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  chapter =             {1.4},
  year =                {2001},
}
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  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'12)},
  acronym =             {{FORMATS}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7595},
  pages =               {43-58},
  year =                {2012},
  month =               sep,
  doi =                 {10.1007/978-3-642-33365-1_5},
}
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                         J{\'e}ron, Thierry and Krichen, Moez},
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  publisher =           {Springer-Verlag},
  journal =             {Formal Methods in System Design},
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}
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                         Pnueli, Amir},
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                         {S}ymposium on {C}ompositionality: {T}he
                         {S}ignificant {D}ifference ({COMPOS}'97)},
  acronym =             {{COMPOS}'97},
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  institution =         {Electronic Colloquium on Computational Complexity},
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}
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                         Games: A~Simple Proof},
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  journal =             {Theoretical Computer Science},
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                         {S}cience ({LMPS}'60)},
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                         Daniele},
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                         {C}olloquium ({KGC}'97)},
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                         Veith, Helmut},
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                         Grzegorz},
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C
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  school =              {RWTH Aachen, Germany},
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                         {F}oundations of {S}oftware {T}echnology and
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  volume =              {4337},
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  booktitle =           {{P}roceedings of the 17th {A}nnual {ACM}-{SIAM}
                         {S}ymposium on {D}iscrete {A}lgorithms ({SODA}'06)},
  acronym =             {{SODA}'06},
  publisher =           {Society for Industrial and Applied Math.},
  pages =               {678-687},
  year =                {2006},
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  author =              {Chatterjee, Krishnendu and de Alfaro, Luca and
                         Henzinger, Thomas A.},
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                         Games},
  booktitle =           {{P}roceedings of the 3rd {I}nternational
                         {C}onference on {Q}uantitative {E}valuation of
                         {S}ystems ({QEST}'06)},
  acronym =             {{QEST}'06},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {291-300},
  year =                {2006},
  month =               sep,
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[CdA+03] Arindam Chakrabarti, Luca de Alfaro, Thomas A. Henzinger et Mariëlle Stoelinga. Resource Interfaces. In EMSOFT'03, Lecture Notes in Computer Science 2855, pages 117-133. Springer-Verlag, octobre 2003.
@inproceedings{emsoft2003-CdAHS,
  author =              {Chakrabarti, Arindam and de Alfaro, Luca and
                         Henzinger, Thomas A. and Stoelinga, Mari{\"e}lle},
  title =               {Resource Interfaces},
  editor =              {Alur, Rajeev and Lee, Insup},
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                         {C}onference on {E}mbedded {S}oftware ({EMSOFT}'03)},
  acronym =             {{EMSOFT}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2855},
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  type =                {Activity Report},
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[CAM+04] Scott Cotton, Eugene Asarin, Oded Maler et Peter Niebert. Some Progress in Satisfiability Checking for Difference Logic. In FORMATS-FTRTFT'04, Lecture Notes in Computer Science 3253, pages 263-276. Springer-Verlag, septembre 2004.
@inproceedings{formats2004-CAMN,
  author =              {Cotton, Scott and Asarin, Eugene and Maler, Oded and
                         Niebert, Peter},
  title =               {Some Progress in Satisfiability Checking for
                         Difference Logic},
  editor =              {Lakhnech, Yassine and Yovine, Sergio},
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                         of {T}imed {S}ystems ({FORMATS}'04) and {F}ormal
                         {T}echniques in {R}eal-Time and {F}ault-Tolerant
                         {S}ystems ({FTRTFT}'04)},
  acronym =             {{FORMATS-FTRTFT}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
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}
[Cas87] Ilaria Castellani. Bisimulations and abstraction homomorphisms. Journal of Computer and System Sciences 34(2-3):210-235. Academic Press, avril 1987.
@article{jcss34(2-3)-Cas,
  author =              {Castellani, Ilaria},
  title =               {Bisimulations and abstraction homomorphisms},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
  volume =              {34},
  number =              {2-3},
  pages =               {210-235},
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  month =               apr,
}
[Cas09] Franck Cassez. A note on fault diagnosis algorithms. In CDC'09, pages 6941-6946. IEEE Comp. Soc. Press, décembre 2009.
@inproceedings{cdc2009-Cas,
  author =              {Cassez, Franck},
  title =               {A~note on fault diagnosis algorithms},
  booktitle =           {{P}roceedings of the 48th {IEEE} {C}onference on
                         {D}ecision and {C}ontrol ({CDC}'09)},
  acronym =             {{CDC}'09},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {6941-6946},
  year =                {2009},
  month =               dec,
  doi =                 {10.1109/CDC.2009.5399968},
}
[CB13] Franck Cassez et Jean-Luc Béchennec. Timing Analysis of Binary Programs with UPPAAL. In ACSD'13, pages 41-50. IEEE Comp. Soc. Press, juillet 2013.
@inproceedings{acsd2013-CB,
  author =              {Cassez, Franck and B{\'e}chennec, Jean-Luc},
  title =               {Timing Analysis of Binary Programs with {UPPAAL}},
  editor =              {Carmona, Josep and Lazarescu, Mihai T. and
                         Pietkiewicz-Koutny, Marta},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {A}pplication of {C}oncurrency to
                         {S}ystem {D}esign ({ACSD}'13)},
  acronym =             {{ACSD}'13},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {41-50},
  year =                {2013},
  month =               jul,
  doi =                 {10.1109/ACSD.2013.7},
}
[CBC13] Christophe Chareton, Julien Brunel et David Chemouil. Towards an Updatable Strategy Logic. In SR'13, Electronic Proceedings in Theoretical Computer Science 112, pages 91-98. Mars 2013.
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  author =              {Chareton, Christophe and Brunel, Julien and
                         Chemouil, David},
  title =               {Towards an Updatable Strategy Logic},
  booktitle =           {{P}roceedings of the 1st {I}nternational {W}orkshop
                         on {S}trategic {R}easoning ({SR}'13)},
  acronym =             {{SR}'13},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {112},
  pages =               {91-98},
  year =                {2013},
  month =               mar,
  doi =                 {10.4204/EPTCS.112.14},
}
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                         Fabrice and Thierry{-}Mieg, Yann},
  title =               {Towards Distributed Software Model-Checking using
                         Decision Diagrams},
  editor =              {Sharygina, Natasha and Veith, Helmut},
  booktitle =           {{P}roceedings of the 25th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'13)},
  acronym =             {{CAV}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8044},
  pages =               {830-845},
  year =                {2013},
  month =               jul,
  doi =                 {10.1007/978-3-642-39799-8_58},
}
[CC77] Patrick Cousot et Radhia Cousot. Abstract Interpretation: A Unified Lattice Model for Static Analysis of Programs by Construction or Approximation of Fixpoints. In POPL'77, pages 238-252. ACM Press, janvier 1977.
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  author =              {Cousot, Patrick and Cousot, Radhia},
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                         Static Analysis of Programs by Construction or
                         Approximation of Fixpoints},
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                         {P}rinciples of {P}rogramming {L}anguages
                         ({POPL}'77)},
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@article{pjm82(1)-CC,
  author =              {Cousot, Patrick and Cousot, Radhia},
  title =               {Constructive Versions of {T}arski's Fixed Point
                         Theorems},
  journal =             {Pacific Journal of Mathematics},
  volume =              {82},
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}
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@techreport{TR-CMU-CS-94-146,
  author =              {Campos, S{\'e}rgio Vale Aguiar and Clarke, Edmund
                         M.},
  title =               {Real-Time Symbolic Model Checking for Discrete Time
                         Models},
  number =              {CMU-CS-94-146},
  year =                {1994},
  month =               may,
  institution =         {Computer Science Deparment, Carnegie Mellon
                         University, Pittsburgh, Pennsylvania, USA},
  type =                {Technical Report},
}
[CC95] Sérgio Vale Aguiar Campos et Edmund M. Clarke. Real-time symbolic model checking for discrete time models. In Teodor Rus et Charles Rattray (eds.), Real-time symbolic model checking for discrete time models, AMAST Series in Computing 2, pages 129-145. World Scientific, janvier 1995.
@incollection{tertsd1995-CC,
  author =              {Campos, S{\'e}rgio Vale Aguiar and Clarke, Edmund
                         M.},
  title =               {Real-time symbolic model checking for discrete time
                         models},
  editor =              {Rus, Teodor and Rattray, Charles},
  booktitle =           {Real-time symbolic model checking for discrete time
                         models},
  publisher =           {World Scientific},
  series =              {AMAST Series in Computing},
  volume =              {2},
  pages =               {129-145},
  year =                {1995},
  month =               jan,
}
[CC99] Sérgio Vale Aguiar Campos et Edmund M. Clarke. Analysis and verification of real-time systems using quantitative symbolic algorithms. International Journal on Software Tools for Technology Transfer 2(3):260-269. Springer-Verlag, novembre 1999.
@article{sttt2(3)-CC,
  author =              {Campos, S{\'e}rgio Vale Aguiar and Clarke, Edmund
                         M.},
  title =               {Analysis and verification of real-time systems using
                         quantitative symbolic algorithms},
  publisher =           {Springer-Verlag},
  journal =             {International Journal on Software Tools for
                         Technology Transfer},
  volume =              {2},
  number =              {3},
  pages =               {260-269},
  year =                {1999},
  month =               nov,
  doi =                 {10.1007/s100090050033},
}
[CC00] Hubert Comon et Véronique Cortier. Flatness is not Weakness. In CSL'00, Lecture Notes in Computer Science 1862, pages 262-276. Springer-Verlag, août 2000.
@inproceedings{csl2000-CC,
  author =              {Comon, Hubert and Cortier, V{\'e}ronique},
  title =               {Flatness is not Weakness},
  editor =              {Clote, Peter and Schwichtenberg, Helmut},
  booktitle =           {{P}roceedings of the 14th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'00)},
  acronym =             {{CSL}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1862},
  pages =               {262-276},
  year =                {2000},
  month =               aug,
}
[CC01] Sérgio Vale Aguiar Campos et Edmund M. Clarke. The Verus Language: Representing Time Efficiently with BDDs. Theoretical Computer Science 253(1):95-118. Elsevier, février 2001.
@article{tcs253(1)-CC,
  author =              {Campos, S{\'e}rgio Vale Aguiar and Clarke, Edmund
                         M.},
  title =               {The {V}erus Language: Representing Time Efficiently
                         with {BDD}s},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {253},
  number =              {1},
  pages =               {95-118},
  year =                {2001},
  month =               feb,
}
[CC02] Cristian S. Calude et Elena Calude. The Bridge Crossing Problem. EATCS Bulletin 77:180-190. EATCS, juin 2002.
@article{eatcs-bull77()-CC,
  author =              {Calude, Cristian S. and Calude, Elena},
  title =               {The Bridge Crossing Problem},
  publisher =           {EATCS},
  journal =             {EATCS Bulletin},
  volume =              {77},
  pages =               {180-190},
  year =                {2002},
  month =               jun,
}
[CCG+02] Alessandro Cimatti, Edmund M. Clarke, Enrico Giunchiglia, Fausto Giunchiglia, Marco Pistore, Marco Roveri, Roberto Sebastiani et Armando Tacchella. NuSMV2: An OpenSource Tool for Symbolic Model Checking. In CAV'02, Lecture Notes in Computer Science 2404, pages 359-364. Springer-Verlag, juillet 2002.
@inproceedings{cav2002-CCGGPRST,
  author =              {Cimatti, Alessandro and Clarke, Edmund M. and
                         Giunchiglia, Enrico and Giunchiglia, Fausto and
                         Pistore, Marco and Roveri, Marco and Sebastiani,
                         Roberto and Tacchella, Armando},
  title =               {{NuSMV2}: An OpenSource Tool for Symbolic Model
                         Checking},
  editor =              {Brinksma, Ed and Larsen, Kim Guldstrand},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'02)},
  acronym =             {{CAV}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2404},
  pages =               {359-364},
  year =                {2002},
  month =               jul,
}
[CCG+99] Alessandro Cimatti, Edmund M. Clarke, Fausto Giunchiglia et Marco Roveri. NuSMV: A New Symbolic Model Verifier. In CAV'99, Lecture Notes in Computer Science 1633, pages 495-499. Springer-Verlag, juillet 1999.
@inproceedings{cav1999-CCGR,
  author =              {Cimatti, Alessandro and Clarke, Edmund M. and
                         Giunchiglia, Fausto and Roveri, Marco},
  title =               {{NuSMV}: A New Symbolic Model Verifier},
  editor =              {Halbwachs, Nicolas and Peled, Doron A.},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'99)},
  acronym =             {{CAV}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1633},
  pages =               {495-499},
  year =                {1999},
  month =               jul,
}
[CCG+00] Alessandro Cimatti, Edmund M. Clarke, Fausto Giunchiglia et Marco Roveri. NuSMV: A New Symbolic Model Checker. International Journal on Software Tools for Technology Transfer 2(4):410-425. Springer-Verlag, mars 2000.
@article{sttt2(4)-CCGR,
  author =              {Cimatti, Alessandro and Clarke, Edmund M. and
                         Giunchiglia, Fausto and Roveri, Marco},
  title =               {{NuSMV}: A New Symbolic Model Checker},
  publisher =           {Springer-Verlag},
  journal =             {International Journal on Software Tools for
                         Technology Transfer},
  volume =              {2},
  number =              {4},
  pages =               {410-425},
  year =                {2000},
  month =               mar,
}
[CCJ06] Franck Cassez, Thomas Chatain et Claude Jard. Symbolic Unfoldings for Networks of Timed Automata. In ATVA'06, Lecture Notes in Computer Science 4218, pages 307-321. Springer-Verlag, octobre 2006.
@inproceedings{atva2006-CCJ,
  author =              {Cassez, Franck and Chatain, {\relax Th}omas and
                         Jard, Claude},
  title =               {Symbolic Unfoldings for Networks of Timed Automata},
  editor =              {Graf, Susanne and Zhang, Wenhui},
  booktitle =           {{P}roceedings of the 4th {I}nternational {S}ymposium
                         on {A}utomated {T}echnology for {V}erification and
                         {A}nalysis ({ATVA}'06)},
  acronym =             {{ATVA}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4218},
  pages =               {307-321},
  year =                {2006},
  month =               oct,
  doi =                 {10.1007/11901914_24},
}
[CCM+95] Sérgio Vale Aguiar Campos, Edmund M. Clarke, Wilfredo R. Marrero et Marius Minea. Verifying the performance of the PCI local bus using symbolic techniques. In ICCD'95, pages 72-78. IEEE Comp. Soc. Press, octobre 1995.
@inproceedings{iccd1995-CCMM,
  author =              {Campos, S{\'e}rgio Vale Aguiar and Clarke, Edmund M.
                         and Marrero, Wilfredo R. and Minea, Marius},
  title =               {Verifying the performance of the PCI local bus using
                         symbolic techniques},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onference on {C}omputer {D}esign ({ICCD}'95)},
  acronym =             {{ICCD}'95},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {72-78},
  year =                {1995},
  month =               oct,
}
[CCM+94] Sérgio Vale Aguiar Campos, Edmund M. Clarke, Wilfredo R. Marrero, Marius Minea et Hiromi Hiraishi. Computing Quantitative Characteristics of Finite-State Real-Time Systems. Technical Report CMU-CS-94-147, Computer Science Deparment, Carnegie Mellon University, Pittsburgh, Pennsylvania, USA, mai 1994.
@techreport{TR-CMU-CS-94-147,
  author =              {Campos, S{\'e}rgio Vale Aguiar and Clarke, Edmund M.
                         and Marrero, Wilfredo R. and Minea, Marius and
                         Hiraishi, Hiromi},
  title =               {Computing Quantitative Characteristics of
                         Finite-State Real-Time Systems},
  number =              {CMU-CS-94-147},
  year =                {1994},
  month =               may,
  institution =         {Computer Science Deparment, Carnegie Mellon
                         University, Pittsburgh, Pennsylvania, USA},
  type =                {Technical Report},
}
[CCM+20] Riccardo Colini-Baldeschi, Roberto Cominetti, Panayotis Mertikopoulos et Marco Scarsini. When is selfish routing bad? The price of anarchy in light and heavy traffic. Operations Research 68(2):411-434. Informs, avril 2020.
@article{or68(2)-CCMS,
  author =              {Colini{-}Baldeschi, Riccardo and Cominetti, Roberto
                         and Mertikopoulos, Panayotis and Scarsini, Marco},
  title =               {When is selfish routing bad? {T}he~price of anarchy
                         in light and heavy traffic},
  publisher =           {Informs},
  journal =             {Operations Research},
  volume =              {68},
  number =              {2},
  pages =               {411-434},
  year =                {2020},
  month =               apr,
  doi =                 {10.1287/opre.2019.1894},
}
[CD88] Edmund M. Clarke et I. A. Draghicescu. Expressibility Results for Linear-Time and Branching-Time Logics. In REX'88, Lecture Notes in Computer Science 354, pages 428-437. Springer-Verlag, mai 1988.
@inproceedings{rex1988-CD,
  author =              {Clarke, Edmund M. and Draghicescu, I. A.},
  title =               {Expressibility Results for Linear-Time and
                         Branching-Time Logics},
  editor =              {de~Bakker, Jaco W. and de Roever, Willem-Paul and
                         Rozenberg, Grzegorz},
  booktitle =           {{L}inear {T}ime, {B}ranching {T}ime and {P}artial
                         {O}rder in {L}ogics and {M}odels for
                         {C}oncurrency~--- {P}roceedings of {REX}
                         {S}chool{\slash}{W}orkshop~1988 ({REX}'88)},
  acronym =             {{REX}'88},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {354},
  pages =               {428-437},
  year =                {1988},
  month =               may,
}
[CD10] Krishnendu Chatterjee et Laurent Doyen. Energy Parity Games. In ICALP'10, Lecture Notes in Computer Science 6199, pages 599-610. Springer-Verlag, juillet 2010.
@inproceedings{icalp2010-CD,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent},
  title =               {Energy Parity Games},
  editor =              {Abramsky, Samson and Gavoille, Cyril and Kirchner,
                         Claude and Meyer auf der Heide, Friedhelm and
                         Spirakis, Paul G.},
  booktitle =           {{P}roceedings of the 37th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'10)~-- Part~{II}},
  acronym =             {{ICALP}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6199},
  pages =               {599-610},
  year =                {2010},
  month =               jul,
}
[CD12] Krishnendu Chatterjee et Laurent Doyen. Energy Parity Games. Theoretical Computer Science 458:49-60. Elsevier, novembre 2012.
@article{tcs458-CD,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent},
  title =               {Energy Parity Games},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {458},
  pages =               {49-60},
  year =                {2012},
  month =               nov,
  doi =                 {10.1016/j.tcs.2012.07.038},
}
[CD16] Krishnendu Chatterjee et Laurent Doyen. Computation Tree Logic for Synchronization Properties. In ICALP'16, Leibniz International Proceedings in Informatics 55, pages 98:1-98:14. Leibniz-Zentrum für Informatik, juillet 2016.
@inproceedings{icalp2016-CD,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent},
  title =               {Computation Tree Logic for Synchronization
                         Properties},
  editor =              {Chatzigiannakis, Ioannis and Mitzenmacher, Michael
                         and Rabani, Yuval and Sangiorgi, Davide},
  booktitle =           {{P}roceedings of the 43rd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'16)~-- Part~{II}},
  acronym =             {{ICALP}'16},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {55},
  pages =               {98:1-98:14},
  year =                {2016},
  month =               jul,
  doi =                 {10.4230/LIPIcs.ICALP.2016.98},
}
[CDC04] Krishnendu Chatterjee, Pallab Dasgupta et P. P. Chakrabarti. The power of first-order quantification over states in branching and linear time temporal logics. Information Processing Letters 91(5):201-210. Elsevier, septembre 2004.
@article{ipl91(5)-CDC,
  author =              {Chatterjee, Krishnendu and Dasgupta, Pallab and
                         Chakrabarti, P. P.},
  title =               {The power of first-order quantification over states
                         in branching and linear time temporal logics},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {91},
  number =              {5},
  pages =               {201-210},
  year =                {2004},
  month =               sep,
}
[CDF+05] Franck Cassez, Alexandre David, Emmanuel Fleury, Kim Guldstrand Larsen et Didier Lime. Efficient On-the-fly Algorithms for the Analysis of Timed Games. In CONCUR'05, Lecture Notes in Computer Science 3653, pages 66-80. Springer-Verlag, août 2005.
@inproceedings{concur2005-CDFLL,
  author =              {Cassez, Franck and David, Alexandre and Fleury,
                         Emmanuel and Larsen, Kim Guldstrand and Lime,
                         Didier},
  title =               {Efficient On-the-fly Algorithms for the Analysis of
                         Timed Games},
  editor =              {Abadi, Mart{\'\i}n and de Alfaro, Luca},
  booktitle =           {{P}roceedings of the 16th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'05)},
  acronym =             {{CONCUR}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3653},
  pages =               {66-80},
  year =                {2005},
  month =               aug,
  doi =                 {10.1007/11539452_9},
}
[CDF+14] Krishnendu Chatterjee, Laurent Doyen, Emmanuel Filiot et Jean-François Raskin. Doomsday Equilibria for Omega-Regular Games. In VMCAI'14, Lecture Notes in Computer Science 8318, pages 78-97. Springer-Verlag, janvier 2014.
@inproceedings{vmcai2014-CDFR,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent and
                         Filiot, Emmanuel and Raskin, Jean-Fran{\c c}ois},
  title =               {Doomsday Equilibria for Omega-Regular Games},
  editor =              {McMillan, Kenneth L. and Rival, Xavier},
  booktitle =           {{P}roceedings of the 15th {I}nternational {W}orkshop
                         on {V}erification, {M}odel {C}hecking, and
                         {A}bstract {I}nterpretation ({VMCAI}'14)},
  acronym =             {{VMCAI}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8318},
  pages =               {78-97},
  year =                {2014},
  month =               jan,
  doi =                 {10.1007/978-3-642-54013-4_5},
}
[CDF+14] Krishnendu Chatterjee, Laurent Doyen, Emmanuel Filiot et Jean-François Raskin. Doomsday Equilibria for Omega-Regular Games. In VMCAI'14, Lecture Notes in Computer Science 8318, pages 78-97. Springer-Verlag, janvier 2014.
@inproceedings{vmcai2014-CDFR,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent and
                         Filiot, Emmanuel and Raskin, Jean-Fran{\c c}ois},
  title =               {Doomsday Equilibria for Omega-Regular Games},
  editor =              {McMillan, Kenneth L. and Rival, Xavier},
  booktitle =           {{P}roceedings of the 15th {I}nternational {W}orkshop
                         on {V}erification, {M}odel {C}hecking, and
                         {A}bstract {I}nterpretation ({VMCAI}'14)},
  acronym =             {{VMCAI}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8318},
  pages =               {78-97},
  year =                {2014},
  month =               jan,
  doi =                 {10.1007/978-3-642-54013-4_5},
}
[CDH08] Krishnendu Chatterjee, Laurent Doyen et Thomas A. Henzinger. Quantitative Languages. In CSL'08, Lecture Notes in Computer Science 5213, pages 385-400. Springer-Verlag, septembre 2008.
@inproceedings{csl2008-CDH,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent and
                         Henzinger, Thomas A.},
  title =               {Quantitative Languages},
  editor =              {Kaminski, Michael and Martini, Simone},
  booktitle =           {{P}roceedings of the 22nd {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'08)},
  acronym =             {{CSL}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5213},
  pages =               {385-400},
  year =                {2008},
  month =               sep,
  doi =                 {10.1007/978-3-540-87531-4_28},
}
[CDH10] Krishnendu Chatterjee, Laurent Doyen et Thomas A. Henzinger. Quantitative Languages. ACM Transactions on Computational Logic 11(4). ACM Press, juillet 2010.
@article{tocl11(4)-CDH,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent and
                         Henzinger, Thomas A.},
  title =               {Quantitative Languages},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {11},
  number =              {4},
  year =                {2010},
  month =               jul,
  doi =                 {10.1145/1805950.1805953},
}
[CDH17] Krishnendu Chatterjee, Laurent Doyen et Thomas A. Henzinger. The Cost of Exactness in Quantitative Reachability. In Models, Algorithms, Logics and Tools: Essays Dedicated to Kim Guldstrand Larsen on the Occasion of His 60th Birthday, Lecture Notes in Computer Science 10460, pages 367-381. Springer-Verlag, août 2017.
@inproceedings{kimfest2017-CDH,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent and
                         Henzinger, Thomas A.},
  title =               {The Cost of Exactness in Quantitative Reachability},
  editor =              {Aceto, Luca and Bacci, Giorgio and Bacci, Giovanni
                         and Ing{\'o}lfsd{\'o}ttir, Anna and Legay, Axel and
                         Mardare, Radu},
  booktitle =           {Models, Algorithms, Logics and Tools: Essays
                         Dedicated to Kim Guldstrand Larsen on the Occasion
                         of His 60th Birthday},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {10460},
  pages =               {367-381},
  year =                {2017},
  month =               aug,
  doi =                 {10.1007/978-3-319-63121-9_18},
}
[CDH+06] Krishnendu Chatterjee, Laurent Doyen, Thomas A. Henzinger et Jean-François Raskin. Algorithms for Omega-Regular Games with Imperfect Information. In CSL'06, Lecture Notes in Computer Science 4207, pages 287-302. Springer-Verlag, septembre 2006.
@inproceedings{csl2006-CDHR,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent and
                         Henzinger, Thomas A. and Raskin, Jean-Fran{\c c}ois},
  title =               {Algorithms for Omega-Regular Games with Imperfect
                         Information},
  editor =              {{\'E}sik, Zolt{\'a}n},
  booktitle =           {{P}roceedings of the 20th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'06)},
  acronym =             {{CSL}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4207},
  pages =               {287-302},
  year =                {2006},
  month =               sep,
}
[CDH+10] Krishnendu Chatterjee, Laurent Doyen, Thomas A. Henzinger et Jean-François Raskin. Generalized Mean-payoff and Energy Games. In FSTTCS'10, Leibniz International Proceedings in Informatics 8, pages 505-516. Leibniz-Zentrum für Informatik, décembre 2010.
@inproceedings{fsttcs2010-CDHR,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent and
                         Henzinger, Thomas A. and Raskin, Jean-Fran{\c c}ois},
  title =               {Generalized Mean-payoff and Energy Games},
  editor =              {Lodaya, Kamal and Mahajan, Meena},
  booktitle =           {{P}roceedings of the 30th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'10)},
  acronym =             {{FSTTCS}'10},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {8},
  pages =               {505-516},
  year =                {2010},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2010.505},
}
[CDL+07] Franck Cassez, Alexandre David, Kim Guldstrand Larsen, Didier Lime et Jean-François Raskin. Timed Control with Observation Based and Stuttering Invariant Strategies. In ATVA'07, Lecture Notes in Computer Science 4762, pages 192-206. Springer-Verlag, octobre 2007.
@inproceedings{atva2007-CDLLR,
  author =              {Cassez, Franck and David, Alexandre and Larsen, Kim
                         Guldstrand and Lime, Didier and Raskin, Jean-Fran{\c
                         c}ois},
  title =               {Timed Control with Observation Based and Stuttering
                         Invariant Strategies},
  editor =              {Namjoshi, Kedar and Yoneda, Tomohiro and Higashino,
                         Teruo and Okamura, Yoshio},
  booktitle =           {{P}roceedings of the 5th {I}nternational {S}ymposium
                         on {A}utomated {T}echnology for {V}erification and
                         {A}nalysis ({ATVA}'07)},
  acronym =             {{ATVA}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4762},
  pages =               {192-206},
  year =                {2007},
  month =               oct,
  doi =                 {10.1007/978-3-540-75596-8_15},
}
[CDM12] Franck Cassez, Jérémy Dubreil et Hervé Marchand. Synthesis of opaque systems with static and dynamic masks. Formal Methods in System Design 40(1):88-115. Springer-Verlag, février 2012.
@article{fmsd40(1)-CDM,
  author =              {Cassez, Franck and Dubreil, J{\'e}r{\'e}my and
                         Marchand, Herv{\'e}},
  title =               {Synthesis of opaque systems with static and dynamic
                         masks},
  publisher =           {Springer-Verlag},
  journal =             {Formal Methods in System Design},
  volume =              {40},
  number =              {1},
  pages =               {88-115},
  year =                {2012},
  month =               feb,
  doi =                 {10.1007/s10703-012-0141-9},
}
[CDR+13] Krishnendu Chatterjee, Laurent Doyen, Mickael Randour et Jean-François Raskin. Looking at Mean-Payoff and Total-Payoff through Windows. In ATVA'13, Lecture Notes in Computer Science 8172, pages 118-132. Springer-Verlag, octobre 2013.
@inproceedings{atva2013-CDRR,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent and
                         Randour, Mickael and Raskin, Jean-Fran{\c c}ois},
  title =               {Looking at Mean-Payoff and Total-Payoff through
                         Windows},
  editor =              {Hung, Dang Van and Ogawa, Mizuhito},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {S}ymposium on {A}utomated {T}echnology for
                         {V}erification and {A}nalysis ({ATVA}'13)},
  acronym =             {{ATVA}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8172},
  pages =               {118-132},
  year =                {2013},
  month =               oct,
}
[CDR+15] Krishnendu Chatterjee, Laurent Doyen, Mickael Randour et Jean-François Raskin. Looking at Mean-Payoff and Total-Payoff through Windows. Information and Computation 242:25-52. Elsevier, juin 2015.
@article{icomp242()-CDRR,
  author =              {Chatterjee, Krishnendu and Doyen, Laurent and
                         Randour, Mickael and Raskin, Jean-Fran{\c c}ois},
  title =               {Looking at Mean-Payoff and Total-Payoff through
                         Windows},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {242},
  pages =               {25-52},
  year =                {2015},
  month =               jun,
  doi =                 {10.1016/j.ic.2015.03.010},
}
[CDS23] Roberto Cominetti, Valerio Dose et Marco Scarsini. The price of anarchy in routing games as a function of the demand. Mathematical Programming. 2023. À paraître.
@article{mathprog-CDS,
  author =              {Cominetti, Roberto and Dose, Valerio and Scarsini,
                         Marco},
  title =               {The~price of anarchy in routing games as a function
                         of the demand},
  journal =             {Mathematical Programming},
  year =                {2023},
  doi =                 {10.1007/s10107-021-01701-7},
  note =                {To~appear},
}
[CDV02] Diego Calvanese, Giuseppe De Giacomo et Moshe Y. Vardi. Reasoning about Actions and Planning in LTL Action Theories. In KR'02, pages 593-602. Morgan Kaufmann Publishers, avril 2002.
@inproceedings{kr2002-CDV,
  author =              {Calvanese, Diego and De{~}Giacomo, Giuseppe and
                         Vardi, Moshe Y.},
  title =               {Reasoning about Actions and Planning in {LTL} Action
                         Theories},
  editor =              {Giunchiglia, Fausto},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onference on {P}rinciples of {K}nowledge
                         {R}epresentation and {R}easoning ({KR}'02)},
  acronym =             {{KR}'02},
  publisher =           {Morgan Kaufmann Publishers},
  pages =               {593-602},
  year =                {2002},
  month =               apr,
}
[CE80] Edmund M. Clarke et E. Allen Emerson. Characterizing properties of parallel programs as fixpoints. In ICALP'80, Lecture Notes in Computer Science 85, pages 169-181. Springer-Verlag, juillet 1980.
@inproceedings{icalp1980-CE,
  author =              {Clarke, Edmund M. and Emerson, E. Allen},
  title =               {Characterizing properties of parallel programs as
                         fixpoints},
  editor =              {de~Bakker, Jaco W. and van Leeuwen, Jan},
  booktitle =           {{P}roceedings of the 7th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'80)},
  acronym =             {{ICALP}'80},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {85},
  pages =               {169-181},
  year =                {1980},
  month =               jul,
}
[CE82] Edmund M. Clarke et E. Allen Emerson. Design and Synthesis of Synchronization Skeletons using Branching-Time Temporal Logic. In LOP'81, Lecture Notes in Computer Science 131, pages 52-71. Springer-Verlag, 1982.
@inproceedings{lop1981-CE,
  author =              {Clarke, Edmund M. and Emerson, E. Allen},
  title =               {Design and Synthesis of Synchronization Skeletons
                         using Branching-Time Temporal Logic},
  editor =              {Kozen, Dexter C.},
  booktitle =           {{P}roceedings of the 3rd {W}orkshop on {L}ogics of
                         {P}rograms ({LOP}'81)},
  acronym =             {{LOP}'81},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {131},
  pages =               {52-71},
  year =                {1982},
  confyear =            {1981},
  confmonth =           {5},
  doi =                 {10.1007/BFb0025774},
}
[CE11] Bruno Courcelle et Joost Engelfriet. Graph Structure and Monadic Second-Order Logic, a Language Theoretic Approach. Cambridge University Press, 2011.
@book{mso-CE11,
  author =              {Courcelle, Bruno and Engelfriet, Joost},
  title =               {Graph Structure and Monadic Second-Order Logic, a
                         Language Theoretic Approach},
  publisher =           {Cambridge University Press},
  year =                {2011},
}
[CEJ+98] Edmund M. Clarke, E. Allen Emerson, Somesh Jha et A. Prasad Sistla. Symmetry Reductions in Model Checking. In CAV'98, Lecture Notes in Computer Science 1427, pages 147-158. Springer-Verlag, juin 1998.
@inproceedings{cav1998-CEJS,
  author =              {Clarke, Edmund M. and Emerson, E. Allen and Jha,
                         Somesh and Sistla, A. Prasad},
  title =               {Symmetry Reductions in Model Checking},
  editor =              {Hu, Alan J. and Vardi, Moshe Y.},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'98)},
  acronym =             {{CAV}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1427},
  pages =               {147-158},
  year =                {1998},
  month =               jun,
  doi =                 {10.1007/BFb0028741},
}
[Cer64] Ján Černý. Poznámka k homogénnym experimentom s konečnými automatmi. Matematicko-fyzikálny časopis 14(3):208-216. 1964.
@article{mfc14(3)-Cer,
  author =              {{\v{C}}ern{\'y}, J{\'a}n},
  title =               {Pozn{\'a}mka k homog{\'e}nnym experimentom s
                         kone{\v{c}}n{\'y}mi automatmi},
  journal =             {Matematicko-fyzik{\'a}lny {\v{c}}asopis},
  volume =              {14},
  number =              {3},
  pages =               {208-216},
  year =                {1964},
}
[Cer93] Kārlis Čerāns. Decidability of Bisimulation Equivalences for Parallel Timer Processes. In CAV'92, Lecture Notes in Computer Science 663, pages 302-315. Springer-Verlag, 1993.
@inproceedings{cav1992-Cer,
  author =              {{\v{C}}er{\={a}}ns, K{\={a}}rlis},
  title =               {Decidability of Bisimulation Equivalences for
                         Parallel Timer Processes},
  editor =              {von Bochmann, Gregor and Probst, David K.},
  booktitle =           {{P}roceedings of the 4th {I}nternational {W}orkshop
                         on {C}omputer {A}ided {V}erification ({CAV}'92)},
  acronym =             {{CAV}'92},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {663},
  pages =               {302-315},
  year =                {1993},
  confyear =            {1992},
  confmonth =           {6-7},
}
[CER93] Bruno Courcelle, Joost Engelfriet et Grzegorz Rozenberg. Handle-rewriting hypergraph grammars. Journal of Computer and System Sciences 46(2). Academic Press, avril 1993.
@article{jcss46-CER93,
  author =              {Courcelle, Bruno and Engelfriet, Joost and
                         Rozenberg, Grzegorz},
  title =               {Handle-rewriting hypergraph grammars},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
  volume =              {46},
  number =              {2},
  year =                {1993},
  month =               apr,
  doi =                 {10.1016/0022-0000(93)90004-G},
}
[Cer14] Petr Čermák. A Model Checker for Strategy Logic. Master's thesis, Dept. of Computing, Imperial College London, UK, Juin 2014.
@mastersthesis{master14-Cer,
  author =              {{\v{C}}erm{\'a}k, Petr},
  title =               {A~Model Checker for Strategy Logic},
  year =                {2014},
  month =               jun,
  school =              {Dept. of Computing, Imperial College London, UK},
}
[CES83] Edmund M. Clarke, E. Allen Emerson et A. Prasad Sistla. Automatic Verification of Finite-State Concurrent Systems using Temporal Logic Specifications: A Practical Approach. In POPL'83, pages 117-126. ACM Press, janvier 1983.
@inproceedings{popl1983-CES,
  author =              {Clarke, Edmund M. and Emerson, E. Allen and Sistla,
                         A. Prasad},
  title =               {Automatic Verification of Finite-State Concurrent
                         Systems using Temporal Logic Specifications: A
                         Practical Approach},
  booktitle =           {Conference Record of the 10th {ACM} {S}ymposium on
                         {P}rinciples of {P}rogramming {L}anguages
                         ({POPL}'83)},
  acronym =             {{POPL}'83},
  publisher =           {ACM Press},
  pages =               {117-126},
  year =                {1983},
  month =               jan,
}
[CES86] Edmund M. Clarke, E. Allen Emerson et A. Prasad Sistla. Automatic Verification of Finite-State Concurrent Systems Using Temporal Logic Specifications. ACM Transactions on Programming Languages and Systems 8(2):244-263. ACM Press, avril 1986.
@article{toplas8(2)-CES,
  author =              {Clarke, Edmund M. and Emerson, E. Allen and Sistla,
                         A. Prasad},
  title =               {Automatic Verification of Finite-State Concurrent
                         Systems Using Temporal Logic Specifications},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Programming Languages and
                         Systems},
  volume =              {8},
  number =              {2},
  pages =               {244-263},
  year =                {1986},
  month =               apr,
}
[CES09] Edmund M. Clarke, E. Allen Emerson et Joseph Sifakis. Model checking: algorithmic verification and debugging. Communications of the ACM 52(11):74-84. ACM Press, novembre 2009.
@article{cacm52(11)-CES,
  author =              {Clarke, Edmund M. and Emerson, E. Allen and Sifakis,
                         Joseph},
  title =               {Model checking: algorithmic verification and
                         debugging},
  publisher =           {ACM Press},
  journal =             {Communications of the ACM},
  volume =              {52},
  number =              {11},
  pages =               {74-84},
  year =                {2009},
  month =               nov,
  doi =                 {10.1145/1592761.1592781},
}
[CFG+16] Rodica Condurache, Emmanuel Filiot, Raffaella Gentilini et Jean-François Raskin. The Complexity of Rational Synthesis. In ICALP'16, Leibniz International Proceedings in Informatics 55, pages 121:1-121:15. Leibniz-Zentrum für Informatik, juillet 2016.
@inproceedings{icalp2016-CFGR,
  author =              {Condurache, Rodica and Filiot, Emmanuel and
                         Gentilini, Raffaella and Raskin, Jean-Fran{\c c}ois},
  title =               {The Complexity of Rational Synthesis},
  editor =              {Chatzigiannakis, Ioannis and Mitzenmacher, Michael
                         and Rabani, Yuval and Sangiorgi, Davide},
  booktitle =           {{P}roceedings of the 43rd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'16)~-- Part~{II}},
  acronym =             {{ICALP}'16},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {55},
  pages =               {121:1-121:15},
  year =                {2016},
  month =               jul,
  doi =                 {10.4230/LIPIcs.ICALP.2016.121},
}
[CFH+03] Edmund M. Clarke, Ansgar Fehnker, Zhi Han, Bruce H. Krogh, Joël Ouaknine, Olaf Stursberg et Michael Theobald. Abstraction and Countrexample-Guided Refinement in Model Checking of Hybrid Systems. International Journal of Foundations of Computer Science 14(4):583-604. Août 2003.
@article{ijfcs14(4)-CFHKOST,
  author =              {Clarke, Edmund M. and Fehnker, Ansgar and Han, Zhi
                         and Krogh, Bruce H. and Ouaknine, Jo{\"e}l and
                         Stursberg, Olaf and Theobald, Michael},
  title =               {Abstraction and Countrexample-Guided Refinement in
                         Model Checking of Hybrid Systems},
  journal =             {International Journal of Foundations of Computer
                         Science},
  volume =              {14},
  number =              {4},
  pages =               {583-604},
  year =                {2003},
  month =               aug,
  doi =                 {10.1142/S012905410300190X},
}
[CFK+12] Taolue Chen, Vojtěch Forejt, Marta Kwiatkowska, David Parker et Aistis Simaitis. Automatic Verification of Competitive Stochastic Systems. In TACAS'12, Lecture Notes in Computer Science 7214, pages 315-330. Springer-Verlag, mars 2012.
@inproceedings{CFKPS-tacas2012,
  author =              {Chen, Taolue and Forejt, Vojt{\v{e}}ch and
                         Kwiatkowska, Marta and Parker, David and Simaitis,
                         Aistis},
  title =               {Automatic Verification of Competitive Stochastic
                         Systems},
  editor =              {Flanagan, Cormac and K{\"o}nig, Barbara},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'12)},
  acronym =             {{TACAS}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7214},
  pages =               {315-330},
  year =                {2012},
  month =               mar,
}
[CFK+12] Taolue Chen, Vojtěch Forejt, Marta Kwiatkowska, Aistis Simaitis, Ashutosh Trivedi et Michael Ummels. Playing Stochastic Games Precisely. In CONCUR'12, Lecture Notes in Computer Science 7454, pages 348-363. Springer-Verlag, septembre 2012.
@inproceedings{CFKSTU-concur2012,
  author =              {Chen, Taolue and Forejt, Vojt{\v{e}}ch and
                         Kwiatkowska, Marta and Simaitis, Aistis and Trivedi,
                         Ashutosh and Ummels, Michael},
  title =               {Playing Stochastic Games Precisely},
  editor =              {Koutny, Maciej and Ulidowski, Irek},
  booktitle =           {{P}roceedings of the 23rd {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'12)},
  acronym =             {{CONCUR}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7454},
  pages =               {348-363},
  year =                {2012},
  month =               sep,
}
[CFP+96] Gérard Cécé, Alain Finkel et S. Purushothaman Iyer. Unreliable Channels are Easier to Verify Than Perfect Channels. Information and Computation 124(1):20-31. Academic Press, janvier 1996.
@article{icomp124(1)-CFP,
  author =              {C{\'e}c{\'e}, G{\'e}rard and Finkel, Alain and
                         Purushothaman Iyer, S.},
  title =               {Unreliable Channels are Easier to Verify Than
                         Perfect Channels},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {124},
  number =              {1},
  pages =               {20-31},
  year =                {1996},
  month =               jan,
}
[CG87] Edmund M. Clarke et Orna Grumberg. Research on Automatic Verification of Finite-State Concurrent Systems. Annual Review of Computer Science 2:269-290. Annual Reviews Inc., 1987.
@article{arcs2()-CG,
  author =              {Clarke, Edmund M. and Grumberg, Orna},
  title =               {Research on Automatic Verification of Finite-State
                         Concurrent Systems},
  publisher =           {Annual Reviews Inc.},
  journal =             {Annual Review of Computer Science},
  volume =              {2},
  pages =               {269-290},
  year =                {1987},
}
[CG96] Boris V. Cherkassky et Andrew V. Goldberg. Negative-Cycle Detection Algorithm. In ESA'96, Lecture Notes in Computer Science 1136, pages 349-363. Springer-Verlag, septembre 1996.
@inproceedings{esa1996-CG,
  author =              {Cherkassky, Boris V. and Goldberg, Andrew V.},
  title =               {Negative-Cycle Detection Algorithm},
  editor =              {D{\'\i}az, Josep and Serna, Maria J.},
  booktitle =           {{P}roceedings of the 4th {A}nnual {E}uropean
                         {S}ymposium on {A}lgorithms ({ESA}'96)},
  acronym =             {{ESA}'96},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1136},
  pages =               {349-363},
  year =                {1996},
  month =               sep,
}
[CG14] Namit Chaturvedi et Marcus Gelderie. Weak ω-Regular Trace Languages. Research Report 1402.3199, arXiv, février 2014.
@techreport{arxiv1402.3199,
  author =              {Chaturvedi, Namit and Gelderie, Marcus},
  title =               {Weak {{\(\omega\)}}-Regular Trace Languages},
  number =              {1402.3199},
  year =                {2014},
  month =               feb,
  institution =         {arXiv},
  type =                {Research Report},
}
[CGH97] Edmund M. Clarke, Orna Grumberg et Kiyoharu Hamaguchi. Another Look at LTL Model Checking. Formal Methods in System Design 10(1):47-71. Kluwer Academic, février 1997.
@article{fmsd10(1)-CGH,
  author =              {Clarke, Edmund M. and Grumberg, Orna and Hamaguchi,
                         Kiyoharu},
  title =               {Another Look at {LTL} Model Checking},
  publisher =           {Kluwer Academic},
  journal =             {Formal Methods in System Design},
  volume =              {10},
  number =              {1},
  pages =               {47-71},
  year =                {1997},
  month =               feb,
}
[CGJ+00] Edmund M. Clarke, Orna Grumberg, Somesh Jha, Yuan Lu et Helmut Veith. Counterexample-Guided Abstraction Refinement. In CAV'00, Lecture Notes in Computer Science 1855, pages 154-169. Springer-Verlag, juillet 2000.
@inproceedings{cav2000-CGJLV,
  author =              {Clarke, Edmund M. and Grumberg, Orna and Jha, Somesh
                         and Lu, Yuan and Veith, Helmut},
  title =               {Counterexample-Guided Abstraction Refinement},
  editor =              {Emerson, E. Allen and Sistla, A. Prasad},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'00)},
  acronym =             {{CAV}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1855},
  pages =               {154-169},
  year =                {2000},
  month =               jul,
  doi =                 {10.1007/10722167_15},
}
[CGJ+01] Edmund M. Clarke, Orna Grumberg, Somesh Jha, Yuan Lu et Helmut Veith. Progress on the State Explosion Problem in Model Checking. In Reinhard Wilhelm (eds.), Informatics – 10 Years Back. 10 Years Ahead, Lecture Notes in Computer Science 2000, pages 176-194. Springer-Verlag, 2001.
@incollection{lncs2000-CGJLV,
  author =              {Clarke, Edmund M. and Grumberg, Orna and Jha, Somesh
                         and Lu, Yuan and Veith, Helmut},
  title =               {Progress on the State Explosion Problem in Model
                         Checking},
  editor =              {Wilhelm, Reinhard},
  booktitle =           {Informatics~-- 10~Years Back. 10~Years Ahead},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2000},
  pages =               {176-194},
  year =                {2001},
}
[CGJ+03] Edmund M. Clarke, Orna Grumberg, Somesh Jha, Yuan Lu et Helmut Veith. Counterexample-Guided Abstraction Refinement for Symbolic Model Checking. Journal of the ACM 50(5):752-794. ACM Press, septembre 2003.
@article{jacm50(5)-CGJLV,
  author =              {Clarke, Edmund M. and Grumberg, Orna and Jha, Somesh
                         and Lu, Yuan and Veith, Helmut},
  title =               {Counterexample-Guided Abstraction Refinement for
                         Symbolic Model Checking},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {50},
  number =              {5},
  pages =               {752-794},
  year =                {2003},
  month =               sep,
  doi =                 {10.1145/876638.876643},
}
[CGL93] Kārlis Čerāns, Jens Christian Godskesen et Kim Guldstrand Larsen. Timed Modal Specification - Theory and Tools. In CAV'93, Lecture Notes in Computer Science 697, pages 253-267. Springer-Verlag, juin 1993.
@inproceedings{cav1993-CGL,
  author =              {{\v{C}}er{\={a}}ns, K{\={a}}rlis and Godskesen, Jens
                         Christian and Larsen, Kim Guldstrand},
  title =               {Timed Modal Specification - Theory and Tools},
  editor =              {Courcoubetis, Costas},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'93)},
  acronym =             {{CAV}'93},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {697},
  pages =               {253-267},
  year =                {1993},
  month =               jun,
}
[CGL94] Edmund M. Clarke, Orna Grumberg et David E. Long. Model Checking. ACM Transactions on Programming Languages and Systems 16(5):1-45. ACM Press, septembre 1994.
@article{toplas16(5)-CGL,
  author =              {Clarke, Edmund M. and Grumberg, Orna and Long, David
                         E.},
  title =               {Model Checking},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Programming Languages and
                         Systems},
  volume =              {16},
  number =              {5},
  pages =               {1-45},
  year =                {1994},
  month =               sep,
}
[CGM+95] Edmund M. Clarke, Orna Grumberg, Kenneth L. McMillan et Xudong Zhao. Efficient Generation of Counterexamples and Witnesses in Symbolic Model Checking. In DAC'95, pages 427-432. ACM Press, juin 1995.
@inproceedings{dac1995-CGMZ,
  author =              {Clarke, Edmund M. and Grumberg, Orna and McMillan,
                         Kenneth L. and Zhao, Xudong},
  title =               {Efficient Generation of Counterexamples and
                         Witnesses in Symbolic Model Checking},
  booktitle =           {{P}roceedings of the 32nd {D}esign {A}utomation
                         {C}onference ({DAC}'95)},
  acronym =             {{DAC}'95},
  publisher =           {ACM Press},
  pages =               {427-432},
  year =                {1995},
  month =               jun,
}
[CGP00] Edmund M. Clarke, Orna Grumberg et Doron A. Peled. Model checking. MIT Press, 2000.
@book{MC2000-CGP,
  author =              {Clarke, Edmund M. and Grumberg, Orna and Peled,
                         Doron A.},
  title =               {Model checking},
  publisher =           {MIT Press},
  year =                {2000},
}
[CGP+02] Alessandro Cimatti, Enrico Giunchiglia, Marco Pistore, Marco Roveri, Roberto Sebastiani et Armando Tacchella. Integrating BDD-based and SAT-based Symbolic Model Checking. In FroCoS'02, Lecture Notes in Computer Science 2309, pages 49-56. Springer-Verlag, avril 2002.
@inproceedings{frocos2002-CGPRST,
  author =              {Cimatti, Alessandro and Giunchiglia, Enrico and
                         Pistore, Marco and Roveri, Marco and Sebastiani,
                         Roberto and Tacchella, Armando},
  title =               {Integrating {BDD}-based and {SAT}-based Symbolic
                         Model Checking},
  editor =              {Armando, Alessandro},
  booktitle =           {{P}roceedings of the 4th {I}nternational {W}orkshop
                         on {F}rontiers of {C}ombining {S}ystems
                         ({FroCoS}'02)},
  acronym =             {{FroCoS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2309},
  pages =               {49-56},
  year =                {2002},
  month =               apr,
}
[CGS98] Marco Cadoli, Andrea Giovanardi et Marco Schaerf. An Algorithm to Evaluate Quantified Boolean Formulae. In AAAI-IAAI'98, pages 262-267. MIT Press, juillet 1998.
@inproceedings{aaai-iaai1998-CGS,
  author =              {Cadoli, Marco and Giovanardi, Andrea and Schaerf,
                         Marco},
  title =               {An Algorithm to Evaluate Quantified Boolean
                         Formulae},
  booktitle =           {{P}roceedings of the 15th {N}ational {C}onference on
                         {A}rtificial {I}ntelligence ({AAAI}'98) and 10th
                         {I}nnovative {A}pplications of {A}rtificial
                         {I}ntelligence {C}onference ({IAAI}'98)},
  acronym =             {{AAAI-IAAI}'98},
  publisher =           {MIT Press},
  pages =               {262-267},
  year =                {1998},
  month =               jul,
}
[CH14] Arnaud Carayol et Matthew Hague. Regular Strategies In Pushdown Reachability Games. In RP'14, Lecture Notes in Computer Science 8762, pages 58-71. Springer-Verlag, septembre 2014.
@inproceedings{rp2014-CH,
  author =              {Carayol, Arnaud and Hague, Matthew},
  title =               {Regular Strategies In Pushdown Reachability Games},
  editor =              {Ouaknine, Jo{\"e}l and Potapov, Igor and Worrell,
                         James},
  booktitle =           {{P}roceedings of the 8th {W}orkshop on
                         {R}eachability {P}roblems in {C}omputational
                         {M}odels ({RP}'14)},
  acronym =             {{RP}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8762},
  pages =               {58-71},
  year =                {2014},
  month =               sep,
  doi =                 {10.1007/978-3-319-11439-2_5},
}
[Cha00] William Chan. Temporal-Logic Queries. In CAV'00, Lecture Notes in Computer Science 1855, pages 450-463. Springer-Verlag, juillet 2000.
@inproceedings{cav2000-Cha,
  author =              {Chan, William},
  title =               {Temporal-Logic Queries},
  editor =              {Emerson, E. Allen and Sistla, A. Prasad},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'00)},
  acronym =             {{CAV}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1855},
  pages =               {450-463},
  year =                {2000},
  month =               jul,
}
[Cha07] Krishnendu Chatterjee. Stochastic ω-regular games. PhD thesis, University of Califormia at Berkeley, USA, 2007.
@phdthesis{phd-chatterjee,
  author =              {Chatterjee, Krishnendu},
  title =               {Stochastic {\(\omega\)}-regular games},
  year =                {2007},
  school =              {University of Califormia at Berkeley, USA},
}
[Cha09] Patryk Chamuczyński. Algorithms and data structures for parametric analysis of real time systems. Thèse de doctorat, University of Göttingen, Germany, 2009.
@phdthesis{phd-chamuczynski09,
  author =              {Patryk Chamuczy{\'n}ski},
  title =               {Algorithms and data structures for parametric
                         analysis of real time systems},
  year =                {2009},
  school =              {University of G{\"o}ttingen, Germany},
  type =                {Th\`ese de doctorat},
}
[Cha14] Namit Chaturvedi. Toward a structure theory of regular infinitary trace languages. In ICALP'14, Lecture Notes in Computer Science 8573, pages 134-145. Springer-Verlag, juillet 2014.
@inproceedings{icalp2014-Cha,
  author =              {Chaturvedi, Namit},
  title =               {Toward a structure theory of regular infinitary
                         trace languages},
  editor =              {Esparza, Javier and Fraigniaud, Pierre and
                         Koutsoupias, Elias},
  booktitle =           {{P}roceedings of the 41st {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'14)~-- Part~{II}},
  acronym =             {{ICALP}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8573},
  pages =               {134-145},
  year =                {2014},
  month =               jul,
  doi =                 {10.1007/978-3-662-43951-7_12},
}
[Cha14] Namit Chaturvedi. Languages of Infinite Traces and Deterministic Asynchronous Automata. Research Report AIB-2014-004, RWTH Aachen, Germany, février 2014.
@techreport{AIB-2014-04,
  author =              {Chaturvedi, Namit},
  title =               {Languages of Infinite Traces and Deterministic
                         Asynchronous Automata},
  number =              {AIB-2014-004},
  year =                {2014},
  month =               feb,
  institution =         {RWTH Aachen, Germany},
  type =                {Research Report},
}
[CHJ04] Krishnendu Chatterjee, Thomas A. Henzinger et Marcin Jurdziński. Games with Secure Equilibria. In LICS'04, pages 160-169. IEEE Comp. Soc. Press, juillet 2004.
@inproceedings{lics2004-CHJ,
  author =              {Chatterjee, Krishnendu and Henzinger, Thomas A. and
                         Jurdzi{\'n}ski, Marcin},
  title =               {Games with Secure Equilibria},
  booktitle =           {{P}roceedings of the 19th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'04)},
  acronym =             {{LICS}'04},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {160-169},
  year =                {2004},
  month =               jul,
}
[CHJ05] Krishnendu Chatterjee, Thomas A. Henzinger et Marcin Jurdziński. Mean-payoff Parity Games. In LICS'05, pages 178-187. IEEE Comp. Soc. Press, juillet 2005.
@inproceedings{lics2005-CHJ,
  author =              {Chatterjee, Krishnendu and Henzinger, Thomas A. and
                         Jurdzi{\'n}ski, Marcin},
  title =               {Mean-payoff Parity Games},
  booktitle =           {{P}roceedings of the 20th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'05)},
  acronym =             {{LICS}'05},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {178-187},
  year =                {2005},
  month =               jul,
}
[CHJ06] Krishnendu Chatterjee, Thomas A. Henzinger et Marcin Jurdziński. Games with Secure Equilibria. Theoretical Computer Science 365(1-2):67-82. Elsevier, novembre 2006.
@article{tcs365(1-2)-CHJ,
  author =              {Chatterjee, Krishnendu and Henzinger, Thomas A. and
                         Jurdzi{\'n}ski, Marcin},
  title =               {Games with Secure Equilibria},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {365},
  number =              {1-2},
  pages =               {67-82},
  year =                {2006},
  month =               nov,
}
[Cho03] Hana Chockler. Coverage Metrics for Model Checking. PhD thesis, Hebrew University, Jerusalem, Israel, Septembre 2003.
@phdthesis{phd-chockler,
  author =              {Chockler, Hana},
  title =               {Coverage Metrics for Model Checking},
  year =                {2003},
  month =               sep,
  school =              {Hebrew University, Jerusalem, Israel},
}
[CHO+13] Krishnendu Chatterjee, Thomas A. Henzinger, Jan Otop et Andreas Pavlogiannis. Distributed synthesis for LTL fragments. In FMCAD'13, pages 18-25. IEEE Comp. Soc. Press, octobre 2013.
@inproceedings{fmcad2013-CHOP,
  author =              {Chatterjee, Krishnendu and Henzinger, Thomas A. and
                         Otop, Jan and Pavlogiannis, Andreas},
  title =               {Distributed synthesis for {LTL} fragments},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {F}ormal {M}ethods in
                         {C}omputer-{A}ided {D}esign ({FMCAD}'13)},
  acronym =             {{FMCAD}'13},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {18-25},
  year =                {2013},
  month =               oct,
}
[CHP07] Krishnendu Chatterjee, Thomas A. Henzinger et Nir Piterman. Generalized Parity Games. In FoSSaCS'07, Lecture Notes in Computer Science 4423, pages 153-167. Springer-Verlag, mars 2007.
@inproceedings{fossacs2007-CHP,
  author =              {Chatterjee, Krishnendu and Henzinger, Thomas A. and
                         Piterman, Nir},
  title =               {Generalized Parity Games},
  editor =              {Seidl, Helmut},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'07)},
  acronym =             {{FoSSaCS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4423},
  pages =               {153-167},
  year =                {2007},
  month =               mar,
}
[CHP07] Krishnendu Chatterjee, Thomas A. Henzinger et Nir Piterman. Strategy Logic. In CONCUR'07, Lecture Notes in Computer Science 4703, pages 59-73. Springer-Verlag, septembre 2007.
@inproceedings{concur2007-CHP,
  author =              {Chatterjee, Krishnendu and Henzinger, Thomas A. and
                         Piterman, Nir},
  title =               {Strategy Logic},
  editor =              {Caires, Lu{\'\i}s and Vasconcelos, Vasco T.},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'07)},
  acronym =             {{CONCUR}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4703},
  pages =               {59-73},
  year =                {2007},
  month =               sep,
  doi =                 {10.1007/978-3-540-74407-8_5},
}
[CHP08] Krishnendu Chatterjee, Thomas A. Henzinger et Nir Piterman. Algorithms for Büchi games. Research Report 0805.2620, arXiv, mai 2008.
@techreport{corr0805.2620-CHP,
  author =              {Chatterjee, Krishnendu and Henzinger, Thomas A. and
                         Piterman, Nir},
  title =               {Algorithms for {B}{\"u}chi games},
  number =              {0805.2620},
  year =                {2008},
  month =               may,
  institution =         {arXiv},
  type =                {Research Report},
}
[CHP10] Krishnendu Chatterjee, Thomas A. Henzinger et Nir Piterman. Strategy Logic. Information and Computation 208(6):677-693. Elsevier, juin 2010.
@article{icomp208(6)-CHP,
  author =              {Chatterjee, Krishnendu and Henzinger, Thomas A. and
                         Piterman, Nir},
  title =               {Strategy Logic},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {208},
  number =              {6},
  pages =               {677-693},
  year =                {2010},
  month =               jun,
  doi =                 {10.1016/j.ic.2009.07.004},
}
[CHP11] Krishnendu Chatterjee, Thomas A. Henzinger et Vinayak S. Prabhu. Timed Parity Games: Complexity and Robustness. Logical Methods in Computer Science 7(4). Décembre 2011.
@article{lmcs7(4)-CHP,
  author =              {Chatterjee, Krishnendu and Henzinger, Thomas A. and
                         Prabhu, Vinayak S.},
  title =               {Timed Parity Games: Complexity and Robustness},
  journal =             {Logical Methods in Computer Science},
  volume =              {7},
  number =              {4},
  year =                {2011},
  month =               dec,
  doi =                 {10.2168/LMCS-7(4:8)2011},
}
[CHR02] Franck Cassez, Thomas A. Henzinger et Jean-François Raskin. A Comparison of Control Problems for Timed and Hybrid Systems. In HSCC'02, Lecture Notes in Computer Science 2289, pages 134-148. Springer-Verlag, mars 2002.
@inproceedings{hscc2002-CHR,
  author =              {Cassez, Franck and Henzinger, Thomas A. and Raskin,
                         Jean-Fran{\c c}ois},
  title =               {A Comparison of Control Problems for Timed and
                         Hybrid Systems},
  editor =              {Tomlin, Claire and Greenstreet, Mark R.},
  booktitle =           {{P}roceedings of the 5th {I}nternational {W}orkshop
                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'02)},
  acronym =             {{HSCC}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2289},
  pages =               {134-148},
  year =                {2002},
  month =               mar,
}
[CHR12] Pavol Černý, Thomas A. Henzinger et Arjun Radhakrishna. Simulation distances. Theoretical Computer Science 413(1):21-35. Elsevier, janvier 2012.
@article{tcs413(1)-CHR,
  author =              {{\v{C}}ern{\'y}, Pavol and Henzinger, Thomas A. and
                         Radhakrishna, Arjun},
  title =               {Simulation distances},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {413},
  number =              {1},
  pages =               {21-35},
  year =                {2012},
  month =               jan,
  doi =                 {10.1016/j.tcs.2011.08.002},
}
[CHR13] Pavol Černý, Thomas A. Henzinger et Arjun Radhakrishna. Quantitative abstraction refinement. In POPL'13, pages 115-128. ACM Press, janvier 2013.
@inproceedings{popl2013-CHR,
  author =              {{\v{C}}ern{\'y}, Pavol and Henzinger, Thomas A. and
                         Radhakrishna, Arjun},
  title =               {Quantitative abstraction refinement},
  editor =              {Giacobazzi, Roberto and Cousot, Radhia},
  booktitle =           {Conference Record of the 40th {ACM}
                         {SIGPLAN}-{SIGACT} {S}ymposium on {P}rinciples of
                         {P}rogramming {L}anguages ({POPL}'13)},
  acronym =             {{POPL}'13},
  publisher =           {ACM Press},
  pages =               {115-128},
  year =                {2013},
  month =               jan,
  doi =                 {10.1145/2429069.2429085},
}
[CHS11] Arnaud Carayol, Axel Haddad et Olivier Serre. Qualitative Tree Languages. In LICS'11, pages 13-22. IEEE Comp. Soc. Press, juin 2011.
@inproceedings{lics2011-CHS,
  author =              {Carayol, Arnaud and Haddad, Axel and Serre, Olivier},
  title =               {Qualitative Tree Languages},
  booktitle =           {{P}roceedings of the 26th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'11)},
  acronym =             {{LICS}'11},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {13-22},
  year =                {2011},
  month =               jun,
  doi =                 {10.1109/LICS.2011.28},
}
[Chu60] Alonzo Church. Applications of recursive arithmetic to the problem of circuit synthesis. In Summaries of the Summer Institute of Symbolic Logic – Volume 1, pages 3-50. Institute for Defense Analyses, 1960.
@inproceedings{sisl1957-Chu,
  author =              {Church, Alonzo},
  title =               {Applications of recursive arithmetic to the problem
                         of circuit synthesis},
  booktitle =           {{S}ummaries of the {S}ummer {I}nstitute of
                         {S}ymbolic {L}ogic~-- Volume~1},
  publisher =           {Institute for Defense Analyses},
  pages =               {3-50},
  year =                {1960},
  confyear =            {1957},
}
[Chu63] Alonzo Church. Logic, arithmetic, and automata. In ICM'62, pages 23-35. 1963.
@inproceedings{icm1962-Chu,
  author =              {Church, Alonzo},
  title =               {Logic, arithmetic, and automata},
  booktitle =           {{P}roceedings of the {I}nternational {C}ongress of
                         {M}athematicians ({ICM}'62)},
  acronym =             {{ICM}'62},
  pages =               {23-35},
  year =                {1963},
  confyear =            {1962},
  confmonth =           {8},
}
[CHV+18] Edmund M. Clarke, Thomas A. Henzinger, Helmut Veith et Roderick Bloem. Handbook of Model Checking. Springer-Verlag, avril 2018.
@book{hbmc18-CHVB,
  author =              {Clarke, Edmund M. and Henzinger, Thomas A. and
                         Veith, Helmut and Bloem, Roderick},
  title =               {Handbook of Model Checking},
  publisher =           {Springer-Verlag},
  year =                {2018},
  month =               apr,
  doi =                 {10.1007/978-3-319-10575-8},
}
[CJ97] Hubert Comon et Florent Jacquemard. Ground Reducibility is EXPTIME-Complete. In LICS'97, pages 26-34. IEEE Comp. Soc. Press, juin 1997.
@inproceedings{lics1997-CJ,
  author =              {Comon, Hubert and Jacquemard, Florent},
  title =               {Ground Reducibility is {EXPTIME}-Complete},
  booktitle =           {{P}roceedings of the 12th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'97)},
  acronym =             {{LICS}'97},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {26-34},
  year =                {1997},
  month =               jun,
}
[CJ98] Hubert Comon et Yan Jurski. Multiple counters automata, safety analysis, and Presburger arithmetic. In CAV'98, Lecture Notes in Computer Science 1427, pages 268-279. Springer-Verlag, juin 1998.
@inproceedings{cav1998-CJ,
  author =              {Comon, Hubert and Jurski, Yan},
  title =               {Multiple counters automata, safety analysis, and
                         {P}resburger arithmetic},
  editor =              {Hu, Alan J. and Vardi, Moshe Y.},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'98)},
  acronym =             {{CAV}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1427},
  pages =               {268-279},
  year =                {1998},
  month =               jun,
  doi =                 {10.1007/BFb0028751},
}
[CJ99] Hubert Comon et Yan Jurski. Timed Automata and the Theory of Real Numbers. Research Report LSV-99-6, Lab. Spécification & Vérification, ENS Cachan, France, juillet 1999.
@techreport{lsv-99-6,
  author =              {Comon, Hubert and Jurski, Yan},
  title =               {Timed Automata and the Theory of Real Numbers},
  number =              {LSV-99-6},
  year =                {1999},
  month =               jul,
  institution =         {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {Research Report},
}
[CJ99] Hubert Comon et Yan Jurski. Timed Automata and the Theory of Real Numbers. In CONCUR'99, Lecture Notes in Computer Science 1664, pages 242-257. Springer-Verlag, août 1999.
@inproceedings{concur1999-CJ,
  author =              {Comon, Hubert and Jurski, Yan},
  title =               {Timed Automata and the Theory of Real Numbers},
  editor =              {Baeten, Jos C. M. and Mauw, Sjouke},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'99)},
  acronym =             {{CONCUR}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1664},
  pages =               {242-257},
  year =                {1999},
  month =               aug,
  doi =                 {10.1007/3-540-48320-9_18},
}
[CdJ+19] José R. Correa, Jasper de Jong, Bart de Keizer et Marc Uetz. The inefficiency of Nash and subgame-perfect equilibria for network routing. Mathematics of Operations Research 44(4):1286-1303. Informs, novembre 2019.
@article{moor44(4)-CJKU,
  author =              {Correa, Jos{\'e} R. and de~Jong, Jasper and
                         de~Keizer, Bart and Uetz, Marc},
  title =               {The inefficiency of {N}ash and subgame-perfect
                         equilibria for network routing},
  publisher =           {Informs},
  journal =             {Mathematics of Operations Research},
  volume =              {44},
  number =              {4},
  pages =               {1286-1303},
  year =                {2019},
  month =               nov,
  doi =                 {10.1287/moor.2018.0968},
}
[CJL+09] Franck Cassez, Jan J. Jensen, Kim Guldstrand Larsen, Jean-François Raskin et Pierre-Alain Reynier. Automatic Synthesis of Robust and Optimal Controllers – An Industrial Case Study. In HSCC'09, Lecture Notes in Computer Science 5469, pages 90-104. Springer-Verlag, avril 2009.
@inproceedings{hscc2009-CJLRR,
  author =              {Cassez, Franck and Jensen, Jan J. and Larsen, Kim
                         Guldstrand and Raskin, Jean-Fran{\c c}ois and
                         Reynier, Pierre-Alain},
  title =               {Automatic Synthesis of Robust and Optimal
                         Controllers~-- An~Industrial Case Study},
  editor =              {Majumdar, Rupak and Tabuada, Paulo},
  booktitle =           {{P}roceedings of the 12th {I}nternational {W}orkshop
                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'09)},
  acronym =             {{HSCC}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5469},
  pages =               {90-104},
  year =                {2009},
  month =               apr,
  doi =                 {10.1007/978-3-642-00602-9_7},
}
[CJL+02] Edmund M. Clarke, Somesh Jha, Yuan Lu et Helmut Veith. Tree-Like Counterexamples in Model Checking. In LICS'02, pages 19-29. IEEE Comp. Soc. Press, juillet 2002.
@inproceedings{lics2002-CJLV,
  author =              {Clarke, Edmund M. and Jha, Somesh and Lu, Yuan and
                         Veith, Helmut},
  title =               {Tree-Like Counterexamples in Model Checking},
  booktitle =           {{P}roceedings of the 17th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'02)},
  acronym =             {{LICS}'02},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {19-29},
  year =                {2002},
  month =               jul,
}
[CJM+20] Emily Clement, Thierry Jéron, Nicolas Markey et David Mentré. Computing maximally-permissive strategies in acyclic timed automata. In FORMATS'20, Lecture Notes in Computer Science 12288, pages 111-126. Springer-Verlag, septembre 2020.
Résumé

Timed automata are a convenient mathematical model for modelling and reasoning about real-time systems. While they provide a powerful way of representing timing aspects of such systems, timed automata assume arbitrary precision and zero-delay actions; in particular, a state might be declared reachable in a timed automaton, but impossible to reach in the physical system it models.

In this paper, we consider permissive strategies as a way to overcome this problem: such strategies propose intervals of delays instead of single delays, and aim at reaching a target state whichever delay actually takes place. We develop an algorithm for computing the optimal permissiveness (and an associated maximally-permissive strategy) in acyclic timed automata and games.

@inproceedings{formats2020-CJMM,
  author =              {Clement, Emily and J{\'e}ron, Thierry and Markey,
                         Nicolas and Mentr{\'e}, David},
  title =               {Computing maximally-permissive strategies in acyclic
                         timed automata},
  editor =              {Bertrand, Nathalie and Jansen, Nils},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'20)},
  acronym =             {{FORMATS}'20},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {12288},
  pages =               {111-126},
  year =                {2020},
  month =               sep,
  doi =                 {10.1007/978-3-030-57628-8_7},
  abstract =            {Timed automata are a convenient mathematical model
                         for modelling and reasoning about real-time systems.
                         While they provide a powerful way of representing
                         timing aspects of such systems, timed automata
                         assume arbitrary precision and zero-delay actions;
                         in~particular, a~state might be declared reachable
                         in a timed automaton, but impossible to reach in the
                         physical system it models. \par In this paper, we
                         consider permissive strategies as a way to overcome
                         this problem: such strategies propose intervals of
                         delays instead of single delays, and aim at reaching
                         a target state whichever delay actually takes place.
                         We develop an algorithm for computing the optimal
                         permissiveness (and~an associated
                         maximally-permissive strategy) in acyclic timed
                         automata and games.},
}
[CK05] George Christodoulou et Elias Koutsoupias. The price of anarchy of finite congestion games. In STOC'05, pages 67-73. ACM Press, mai 2005.
@inproceedings{stoc2005-CK,
  author =              {Christodoulou, George and Koutsoupias, Elias},
  title =               {The price of anarchy of finite congestion games},
  editor =              {Gabow, Harold N. and Fagin, Ronald},
  booktitle =           {{P}roceedings of the 37th {A}nnual {ACM} {S}ymposium
                         on the {T}heory of {C}omputing ({STOC}'05)},
  acronym =             {{STOC}'05},
  publisher =           {ACM Press},
  pages =               {67-73},
  year =                {2005},
  month =               may,
  doi =                 {10.1145/1060590.1060600},
}
[CKL98] Richard Castanet, Ousmane Koné et Patrice Laurençot. On-the-fly Test Generation for Real Time Protocols. In ICCCN'98, pages 378-387. IEEE Comp. Soc. Press, octobre 1998.
@inproceedings{CKL-icccn1998,
  author =              {Castanet, Richard and Kon{\'e}, Ousmane and
                         Lauren{\c{c}}ot, Patrice},
  title =               {On-the-fly Test Generation for Real Time Protocols},
  booktitle =           {{P}roceedings of the {I}nternational {C}onference On
                         {C}omputer {C}ommunications and {N}etworks
                         ({ICCCN}'98)},
  acronym =             {{ICCCN}'98},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {378-387},
  year =                {1998},
  month =               oct,
  doi =                 {10.1109/ICCCN.1998.998798},
}
[CKS81] Ashok K. Chandra, Dexter C. Kozen et Larry J. Stockmeyer. Alternation. Journal of the ACM 28(1):114-133. ACM Press, janvier 1981.
@article{jacm28(1)-CKS,
  author =              {Chandra, Ashok K. and Kozen, Dexter C. and
                         Stockmeyer, Larry J.},
  title =               {Alternation},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {28},
  number =              {1},
  pages =               {114-133},
  year =                {1981},
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}
[CKV01] Hana Chockler, Orna Kupferman et Moshe Y. Vardi. Coverage Metrics for Temporal Logic Model Checking. In TACAS'01, Lecture Notes in Computer Science 2031, pages 528-542. Springer-Verlag, avril 2001.
@inproceedings{tacas2001-CKV,
  author =              {Chockler, Hana and Kupferman, Orna and Vardi, Moshe
                         Y.},
  title =               {Coverage Metrics for Temporal Logic Model Checking},
  editor =              {Margaria, Tiziana and Yi, Wang},
  booktitle =           {{P}roceedings of the 7th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'01)},
  acronym =             {{TACAS}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2031},
  pages =               {528-542},
  year =                {2001},
  month =               apr,
}
[CL00] Franck Cassez et Kim Guldstrand Larsen. The Impressive Power of Stopwatches. In CONCUR'00, Lecture Notes in Computer Science 1877, pages 138-152. Springer-Verlag, août 2000.
@inproceedings{concur2000-CL,
  author =              {Cassez, Franck and Larsen, Kim Guldstrand},
  title =               {The Impressive Power of Stopwatches},
  editor =              {Palamidessi, Catuscia},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'00)},
  acronym =             {{CONCUR}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1877},
  pages =               {138-152},
  year =                {2000},
  month =               aug,
  doi =                 {10.1007/3-540-44618-4_12},
}
[CL02] Rance Cleaveland et Gerald Lüttgen. A Logical Process Calculi. In EXPRESS'02, Electronic Notes in Theoretical Computer Science 68(2), pages 33-50. Elsevier, août 2002.
@inproceedings{express2002-CL,
  author =              {Cleaveland, Rance and L{\"u}ttgen, Gerald},
  title =               {A Logical Process Calculi},
  editor =              {Nestmann, Uwe and Panangaden, Prakash},
  booktitle =           {{P}roceedings of the 9th {I}nternational {W}orkshop
                         on {E}xpressiveness in {C}oncurrency ({EXPRESS}'02)},
  acronym =             {{EXPRESS}'02},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {68},
  number =              {2},
  pages =               {33-50},
  year =                {2002},
  month =               aug,
}
[CL03] Thomas Colcombet et Christof Löding. On the Expressiveness of Deterministic transducers over Infinite Trees. In STACS'04, Lecture Notes in Computer Science 2996, pages 428-439. Springer-Verlag, mars 2003.
@inproceedings{stacs2004-CL,
  author =              {Colcombet, {\relax Th}omas and L{\"o}ding, Christof},
  title =               {On the Expressiveness of Deterministic transducers
                         over Infinite Trees},
  editor =              {Diekert, Volker and Habib, Michel},
  booktitle =           {{P}roceedings of the 21st {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'04)},
  acronym =             {{STACS}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2996},
  pages =               {428-439},
  year =                {2003},
  month =               mar,
}
[CL03] Maxime Crochemore et Thierry Lecrocq. Pattern Matching and Text Compression Algorithms. In Allen B. Tucker (eds.), Computer Science and Engineering Handbook. CRC Press, 2003.
@incollection{CSEH2003-CL,
  author =              {Crochemore, Maxime and Lecrocq, {\relax Th}ierry},
  title =               {Pattern Matching and Text Compression Algorithms},
  editor =              {Tucker, Allen B.},
  booktitle =           {Computer Science and Engineering Handbook},
  publisher =           {CRC Press},
  pages =               {161-202},
  year =                {2003},
}
[CL07] Taolue Chen et Jian Lu. Probabilistic Alternating-time Temporal Logic and Model Checking Algorithm. In FSKD'07, pages 35-39. IEEE Comp. Soc. Press, août 2007.
@inproceedings{fskd2007-CL,
  author =              {Chen, Taolue and Lu, Jian},
  title =               {Probabilistic Alternating-time Temporal Logic and
                         Model Checking Algorithm},
  editor =              {Lei, J.},
  booktitle =           {{P}roceedings of the 4th {I}nternational
                         {C}onference on {F}uzzy {S}ystems and {K}nowledge
                         {D}iscovery ({FSKD}'07)},
  acronym =             {{FSKD}'07},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {35-39},
  year =                {2007},
  month =               aug,
  doi =                 {10.1109/FSKD.2007.458},
}
[CLM15] Petr Čermák, Alessio Lomuscio et Aniello Murano. Verifying and Synthesising Multi-Agent Systems against One-Goal Strategy Logic Specifications. In AAAI'15, pages 2038-2044. AAAI Press, janvier 2015.
@inproceedings{aaai2015-CLM,
  author =              {{\v{C}}erm{\'a}k, Petr and Lomuscio, Alessio and
                         Murano, Aniello},
  title =               {Verifying and Synthesising Multi-Agent Systems
                         against One-Goal Strategy Logic Specifications},
  editor =              {Bonet, Blai and Koenig, Sven},
  booktitle =           {{P}roceedings of the 29th {AAAI} {C}onference on
                         {A}rtificial {I}ntelligence ({AAAI}'15)},
  acronym =             {{AAAI}'15},
  publisher =           {AAAI Press},
  pages =               {2038-2044},
  year =                {2015},
  month =               jan,
}
[CLM+14] Petr Čermák, Alessio Lomuscio, Fabio Mogavero et Aniello Murano. MCMAS-SLK: A Model Checker for the Verification of Strategy Logic Specifications. In CAV'14, Lecture Notes in Computer Science 8559, pages 525-532. Springer-Verlag, juillet 2014.
@inproceedings{cav2014-CLMM,
  author =              {{\v{C}}erm{\'a}k, Petr and Lomuscio, Alessio and
                         Mogavero, Fabio and Murano, Aniello},
  title =               {{MCMAS-SLK}: A~Model Checker for the Verification of
                         Strategy Logic Specifications},
  editor =              {Biere, Armin and Bloem, Roderick},
  booktitle =           {{P}roceedings of the 26th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'14)},
  acronym =             {{CAV}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8559},
  pages =               {525-532},
  year =                {2014},
  month =               jul,
  doi =                 {10.1007/978-3-319-08867-9_34},
}
[CLM+15] Krishnendu Chatterjee, Stéphane Lafortune, Nicolas Markey et Wolfgang Thomas (eds.) Non-Zero-Sum-Games and Control (Dagstuhl Seminar 15061). Dagstuhl Reports 5(2):1-25. Leibniz-Zentrum für Informatik, juin 2015.
Résumé

In this report, the program, research issues, and results of Dagstuhl Seminar 15061 "Non-Zero-Sum-Games and Control" are described. The area of non-zero-sum games is addressed in a wide range of topics: multi-player games, partial-observation games, quantitative game models, and—as a special focus—connections with control engineering (supervisory control).

@proceedings{dagrep5(2)-CLMT,
  title =               {Non-Zero-Sum-Games and Control ({D}agstuhl
                         Seminar~15061)},
  editor =              {Chatterjee, Krishnendu and Lafortune, St{\'e}phane
                         and Markey, Nicolas and Thomas, Wolfgang},
  booktitle =           {Non-Zero-Sum-Games and Control ({D}agstuhl
                         Seminar~15061)},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  journal =             {Dagstuhl Reports},
  volume =              {5},
  number =              {2},
  pages =               {1-25},
  year =                {2015},
  month =               jun,
  doi =                 {10.4230/DagRep.5.2.1},
  url =                 {http://drops.dagstuhl.de/opus/volltexte/2015/5042},
  abstract =            {In this report, the program, research issues, and
                         results of Dagstuhl Seminar~15061
                         {"}Non-Zero-Sum-Games and Control{"} are described.
                         The area of non-zero-sum games is addressed in a
                         wide range of topics: multi-player games,
                         partial-observation games, quantitative game models,
                         and---as~a special focus---connections with control
                         engineering (supervisory control).},
}
[Clo94] Peter Clote. Computation Models and Function Algebras. In LCC'94, Lecture Notes in Computer Science 960, pages 98-130. Springer-Verlag, octobre 1994.
@inproceedings{lcc1994-Clo,
  author =              {Clote, Peter},
  title =               {Computation Models and Function Algebras},
  editor =              {Leivant, Daniel},
  booktitle =           {{P}roceedings of the 1st {I}nternational {W}orkshop
                         on {L}ogic and {C}omputation {C}omplexity
                         ({LCC}'94)},
  acronym =             {{LCC}'94},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {960},
  pages =               {98-130},
  year =                {1994},
  month =               oct,
}
[CLP+11] Laura Carnevali, Giuseppe Lipari, Alessandro Pinzuti et Enrico Vicario. A Formal Approach to Design and Verification of Two-Level Hierarchical Scheduling Systems. In ADA-EUROPE'11, Lecture Notes in Computer Science 6652, pages 118-131. Springer-Verlag, 2011.
@inproceedings{adaeurope2011-CLPV,
  author =              {Carnevali, Laura and Lipari, Giuseppe and Pinzuti,
                         Alessandro and Vicario, Enrico},
  title =               {A Formal Approach to Design and Verification of
                         Two-Level Hierarchical Scheduling Systems},
  editor =              {Romanovsky, Alexander and Vardanega, Tullio},
  booktitle =           {Proceedings of the 16th {A}da-{E}urope
                         {I}nternational {C}onference on {R}eliable
                         {S}oftware {T}echnologies ({ADA-EUROPE}'11)},
  acronym =             {{ADA-EUROPE}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6652},
  pages =               {118-131},
  year =                {2011},
  confyear =            {2011},
  confmonth =           {6},
}
[CLS01] Gianfranco Ciardo, Gerald Lüttgen et Radu Siminiceanu. Saturation: An Efficient Iteration Strategy for Symbolic State-Space Generation. In TACAS'01, Lecture Notes in Computer Science 2031, pages 328-342. Springer-Verlag, avril 2001.
@inproceedings{tacas2001-CLS,
  author =              {Ciardo, Gianfranco and L{\"u}ttgen, Gerald and
                         Siminiceanu, Radu},
  title =               {Saturation: An Efficient Iteration Strategy for
                         Symbolic State-Space Generation},
  editor =              {Margaria, Tiziana and Yi, Wang},
  booktitle =           {{P}roceedings of the 7th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'01)},
  acronym =             {{TACAS}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2031},
  pages =               {328-342},
  year =                {2001},
  month =               apr,
}
[CM93] Bruno Courcelle et Mohamed Mosbah. Monadic second-order evaluations on tree-decomposable graphs. Theoretical Computer Science 109(1-2):49-82. Elsevier, 1993.
@article{tcs109(1-2)-CM,
  author =              {Courcelle, Bruno and Mosbah, Mohamed},
  title =               {Monadic second-order evaluations on
                         tree-decomposable graphs},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {109},
  number =              {1-2},
  pages =               {49-82},
  year =                {1993},
  doi =                 {10.1016/0304-3975(93)90064-Z},
}
[CM97] Stephen A. Cook et David G. Mitchell. Finding Hard Instances of the Satisfiability Problem: A Survey. In Ding-zhu Du, Jun Gu et Panos M. Pardalos (eds.), Satisfiability Problem: Theory and Applications, DIMACS Series in Discrete Mathematics and Theoretical Computer Science 35, pages 1-17. American Mathematical Society, octobre 1997.
@incollection{dimacs35-CM,
  author =              {Cook, Stephen A. and Mitchell, David G.},
  title =               {Finding Hard Instances of the Satisfiability
                         Problem: A Survey},
  editor =              {Du, Ding-zhu and Gu, Jun and Pardalos, Panos M.},
  booktitle =           {Satisfiability Problem: Theory and Applications},
  publisher =           {American Mathematical Society},
  series =              {DIMACS Series in Discrete Mathematics and
                         Theoretical Computer Science},
  volume =              {35},
  pages =               {1-17},
  year =                {1997},
  month =               oct,
}
[CM02] Marco Carbone et Sergio Maffeis. On the Expressive Power of Polyadic Synchronisation in π-calculus. In EXPRESS'02, Electronic Notes in Theoretical Computer Science 68(2), pages 15-32. Elsevier, août 2002.
@inproceedings{express2002-CM,
  author =              {Carbone, Marco and Maffeis, Sergio},
  title =               {On the Expressive Power of Polyadic Synchronisation
                         in {\(\pi\)}-calculus},
  editor =              {Nestmann, Uwe and Panangaden, Prakash},
  booktitle =           {{P}roceedings of the 9th {I}nternational {W}orkshop
                         on {E}xpressiveness in {C}oncurrency ({EXPRESS}'02)},
  acronym =             {{EXPRESS}'02},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {68},
  number =              {2},
  pages =               {15-32},
  year =                {2002},
  month =               aug,
}
[CM03] Olivier Carton et Max Michel. Unambiguous Büchi Automata. Theoretical Computer Science 297(1-3):37-81. Elsevier, mars 2003.
@article{tcs297(1-3)-CM,
  author =              {Carton, Olivier and Michel, Max},
  title =               {Unambiguous B{\"u}chi Automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {297},
  number =              {1-3},
  pages =               {37-81},
  year =                {2003},
  month =               mar,
}
[CM06] Scott Cotton et Oded Maler. Fast and Flexible Difference Constraint Propagation for DPLL(T). In SAT'06, Lecture Notes in Computer Science 4121, pages 170-183. Springer-Verlag, août 2006.
@inproceedings{sat2006-CM,
  author =              {Cotton, Scott and Maler, Oded},
  title =               {Fast and Flexible Difference Constraint Propagation
                         for {DPLL(T)}},
  editor =              {Biere, Armin and Gomes, Carla P.},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {T}heory and {A}pplications of
                         {S}atisfiability {T}esting ({SAT}'06)},
  acronym =             {{SAT}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4121},
  pages =               {170-183},
  year =                {2006},
  month =               aug,
}
[CM08] Franck Cassez et Nicolas Markey. Contrôle des systèmes temporisés. In Olivier H. Roux et Claude Jard (eds.), Approches formelles des systèmes embarqués communicants. Hermès, octobre 2008.
@incollection{afsec2008-CM,
  author =              {Cassez, Franck and Markey, Nicolas},
  title =               {Contr{\^o}le des syst{\`e}mes temporis{\'e}s},
  editor =              {Roux, Olivier H. and Jard, Claude},
  booktitle =           {Approches formelles des syst{\`e}mes embarqu{\'e}s
                         communicants},
  publisher =           {Herm{\`e}s},
  pages =               {105-144},
  chapter =             {4},
  year =                {2008},
  month =               oct,
  url =                 {http://e.lavoisier.fr/produit/9782746243156},
}
[CM09] Franck Cassez et Nicolas Markey. Control of Timed Systems. In Claude Jard et Olivier H. Roux (eds.), Communicating Embedded Systems – Software and Design. Wiley-ISTE, octobre 2009.
@incollection{ces2009-CM,
  author =              {Cassez, Franck and Markey, Nicolas},
  title =               {Control of Timed Systems},
  editor =              {Jard, Claude and Roux, Olivier H.},
  booktitle =           {Communicating Embedded Systems~-- Software and
                         Design},
  publisher =           {Wiley-ISTE},
  pages =               {83-120},
  chapter =             {3},
  year =                {2009},
  month =               oct,
  url =                 {http://www.iste.co.uk/index.php?f=x&ACTION=View&id=288},
}
[CMH08] Krishnendu Chatterjee, Rupak Majumdar et Thomas A. Henzinger. Controller Synthesis with Budget Constraints. In HSCC'08, Lecture Notes in Computer Science 4981. Springer-Verlag, avril 2008.
@inproceedings{hscc2008-CMH,
  author =              {Chatterjee, Krishnendu and Majumdar, Rupak and
                         Henzinger, Thomas A.},
  title =               {Controller Synthesis with Budget Constraints},
  editor =              {Egerstedt, Magnus and Mishra, Bud},
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  acronym =             {{VMCAI}'06},
  publisher =           {Springer-Verlag},
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  volume =              {3855},
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                         {L}ogic in {C}omputer {S}cience ({LICS}'12)},
  acronym =             {{LICS}'12},
  publisher =           {IEEE Comp. Soc. Press},
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  year =                {2012},
  month =               jun,
  doi =                 {10.1109/LICS.2012.30},
}
[CVW+91] Costas Courcoubetis, Moshe Y. Vardi, Pierre Wolper et Mihalis Yannakakis. Memory-Efficient Algorithms for the Verification of Temporal Properties. In CAV'90, Lecture Notes in Computer Science 531, pages 233-242. Springer-Verlag, 1991.
@inproceedings{cav1990-CVWY,
  author =              {Courcoubetis, Costas and Vardi, Moshe Y. and Wolper,
                         Pierre and Yannakakis, Mihalis},
  title =               {Memory-Efficient Algorithms for the Verification of
                         Temporal Properties},
  editor =              {Clarke, Edmund M. and Kurshan, Robert P.},
  booktitle =           {{P}roceedings of the 2nd {I}nternational {W}orkshop
                         on {C}omputer {A}ided {V}erification ({CAV}'90)},
  acronym =             {{CAV}'90},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {531},
  pages =               {233-242},
  year =                {1991},
  confyear =            {1990},
  confmonth =           {6},
}
[CY92] Costas Courcoubetis et Mihalis Yannakakis. Minimum and Maximum Delay Problems in Real-Time Systems. Formal Methods in System Design 1(4):385-415. Kluwer Academic, décembre 1992.
@article{fmsd1(4)-CY,
  author =              {Courcoubetis, Costas and Yannakakis, Mihalis},
  title =               {Minimum and Maximum Delay Problems in Real-Time
                         Systems},
  publisher =           {Kluwer Academic},
  journal =             {Formal Methods in System Design},
  volume =              {1},
  number =              {4},
  pages =               {385-415},
  year =                {1992},
  month =               dec,
}
[CY95] Costas Courcoubetis et Mihalis Yannakakis. The Complexity of Probabilistic Verification. Journal of the ACM 42(4):857-907. ACM Press, juillet 1995.
@article{jacm42(4)-CY,
  author =              {Courcoubetis, Costas and Yannakakis, Mihalis},
  title =               {The Complexity of Probabilistic Verification},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {42},
  number =              {4},
  pages =               {857-907},
  year =                {1995},
  month =               jul,
}
D
[vD03] Govert van Drimmelen. Satisfiability in Alternating-time Temporal Logic. In LICS'03, pages 208-217. IEEE Comp. Soc. Press, juin 2003.
@inproceedings{lics2003-vD,
  author =              {van Drimmelen, Govert},
  title =               {Satisfiability in Alternating-time Temporal Logic},
  booktitle =           {{P}roceedings of the 18th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'03)},
  acronym =             {{LICS}'03},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {208-217},
  year =                {2003},
  month =               jun,
}
[Da11] Arnaud Da Costa. Propriétés de jeux multi-agents. Thèse de doctorat, Lab. Spécification & Vérification, ENS Cachan, France, Septembre 2011.
@phdthesis{phd-dacosta,
  author =              {Da{~}Costa, Arnaud},
  title =               {Propri{\'e}t{\'e}s de jeux multi-agents},
  year =                {2011},
  month =               sep,
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {Th\`ese de doctorat},
}
[Dam94] Mads Dam. Temporal Logic, Automata and Classical Theories. In ESSLLI'94. Août 1994.
@inproceedings{esslli1994-Dam,
  author =              {Dam, Mads},
  title =               {Temporal Logic, Automata and Classical Theories},
  booktitle =           {{P}roceedings of the 6th {E}uropean {S}ummer
                         {S}chool in {L}ogic, {L}anguage and {I}nformation
                         ({ESSLLI}'94)},
  acronym =             {{ESSLLI}'94},
  year =                {1994},
  month =               aug,
}
[Dam94] Dennis René Dams. CTL* and ECTL* as fragments of the modal μ-calculus. Theoretical Computer Science 126(1):77-96. Elsevier, avril 1994.
@article{tcs126(1)-Dam,
  author =              {Dams, Dennis Ren{\'e}},
  title =               {{CTL{\textsuperscript{*}}} and
                         {ECTL{\textsuperscript{*}}} as fragments of the
                         modal {{\(\mu\)}}-calculus},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {126},
  number =              {1},
  pages =               {77-96},
  year =                {1994},
  month =               apr,
}
[Dam99] Dennis René Dams. Flat Fragments of CTL and CTL*: Separating the Expressive and Distinguishing Powers. Logic Journal of the IGPL 7(1):55-78. Oxford University Press, janvier 1999.
@article{jigpl7(1)-Dam,
  author =              {Dams, Dennis Ren{\'e}},
  title =               {Flat Fragments of {CTL} and {CTL}{\(^*\)}:
                         Separating the Expressive and Distinguishing Powers},
  publisher =           {Oxford University Press},
  journal =             {Logic Journal of the IGPL},
  volume =              {7},
  number =              {1},
  pages =               {55-78},
  year =                {1999},
  month =               jan,
}
[Dan03] Zhe Dang. Pushdown Timed Automata: A Binary Reachability Characterization and Safety Verification. Theoretical Computer Science 302(1-3):93-121. Elsevier, juin 2003.
@article{tcs302(1-3)-Dang,
  author =              {Dang, Zhe},
  title =               {Pushdown Timed Automata: A~Binary Reachability
                         Characterization and Safety Verification},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {302},
  number =              {1-3},
  pages =               {93-121},
  year =                {2003},
  month =               jun,
}
[DBM+10] Kun Deng, Prabir Barooah, Prashant G. Mehta et Sean P. Meyn. Building thermal model reduction via aggregation of states. In ACC'10, pages 5118-5123. IEEE Comp. Soc. Press, juin 2010.
@inproceedings{acc2010-DBMM,
  author =              {Deng, Kun and Barooah, Prabir and Mehta, Prashant G.
                         and Meyn, Sean P.},
  title =               {Building thermal model reduction via aggregation of
                         states},
  booktitle =           {Proceedings of the 2010 American Control Conference
                         ({ACC}'10)},
  acronym =             {{ACC}'10},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {5118-5123},
  year =                {2010},
  month =               jun,
  doi =                 {10.1109/ACC.2010.5530470},
}
[DBR67] George B. Dantzig, W. O. Blattner et M. R. Rao. Finding a Cycle in a Graph with Minimum Cost to Time Ratio with Application to a Ship Routing Problem. In Pierre Rosenstiehl (eds.), Theory of Graphs. Gordon and Breach Science Publishers, 1967.
@incollection{thgraph-DBR67,
  author =              {Dantzig, George B. and Blattner, W. O. and Rao, M.
                         R.},
  title =               {Finding a Cycle in a Graph with Minimum Cost to Time
                         Ratio with Application to a Ship Routing Problem},
  editor =              {Rosenstiehl, Pierre},
  booktitle =           {Theory of Graphs},
  publisher =           {Gordon and Breach Science Publishers},
  pages =               {77-84},
  year =                {1967},
}
[DCM+04] Jennifer M. Davoren, Vaughan Coulthard, Nicolas Markey et Thomas Moor. Non-deterministic Temporal Logics for General Flow Systems. In HSCC'04, Lecture Notes in Computer Science 2993, pages 280-295. Springer-Verlag, mars 2004.
Résumé

In this paper, we use the constructs of branching temporal logic to formalize reasoning about a class of general flow systems, including discrete-time transition systems, continuous-time differential inclusions, and hybrid-time systems such as hybrid automata. We introduce Full General Flow Logic, GFL*, which has essentially the same syntax as the well-known Full Computation Tree Logic, CTL*, but generalizes the semantics to general flow systems over arbitrary time-lines. We propose an axiomatic proof system for GFL* and establish its soundness w.r.t. the general flow semantics.

@inproceedings{hscc2004-DCMM,
  author =              {Davoren, Jennifer M. and Coulthard, Vaughan and
                         Markey, Nicolas and Moor, Thomas},
  title =               {Non-deterministic Temporal Logics for General Flow
                         Systems},
  editor =              {Alur, Rajeev and Pappas, George J.},
  booktitle =           {{P}roceedings of the 7th {I}nternational {W}orkshop
                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'04)},
  acronym =             {{HSCC}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2993},
  pages =               {280-295},
  year =                {2004},
  month =               mar,
  doi =                 {10.1007/978-3-540-24743-2_19},
  abstract =            {In this paper, we use the constructs of branching
                         temporal logic to formalize reasoning about a class
                         of general flow systems, including discrete-time
                         transition systems, continuous-time differential
                         inclusions, and hybrid-time systems such as hybrid
                         automata. We introduce Full General Flow Logic,
                         GFL\(^*\), which has essentially the same syntax as
                         the well-known Full Computation Tree Logic,
                         CTL\(^*\), but generalizes the semantics to general
                         flow systems over arbitrary time-lines. We propose
                         an axiomatic proof system for GFL\(^*\) and
                         establish its soundness w.r.t. the general flow
                         semantics.},
}
[DD03] Stéphane Demri et Deepak D'Souza. An Automata-Theoretic Approach to Constraint LTL. Research Report LSV-03-11, Lab. Spécification & Vérification, ENS Cachan, France, août 2003.
@techreport{LSV-03-11-DD,
  author =              {Demri, St{\'e}phane and D'Souza, Deepak},
  title =               {An Automata-Theoretic Approach to Constraint {LTL}},
  number =              {LSV-03-11},
  year =                {2003},
  month =               aug,
  institution =         {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {Research Report},
}
[DDD+12] Werner Damm, Henning Dierks, Stefan Disch, Willem Hagemann, Florian Pigorsch, Christoph Scholl, Uwe Waldmann et Boris Wirtz. Exact and fully symbolic verification of linear hybrid automata with large discrete state spaces. Science of Computer Programming 77(10-11):1122-1150. Elsevier, septembre 2012.
@article{scp77(10-11)-DDDHPSWW,
  author =              {Damm, Werner and Dierks, Henning and Disch, Stefan
                         and Hagemann, Willem and Pigorsch, Florian and
                         Scholl, Christoph and Waldmann, Uwe and Wirtz,
                         Boris},
  title =               {Exact and fully symbolic verification of linear
                         hybrid automata with large discrete state spaces},
  publisher =           {Elsevier},
  journal =             {Science of Computer Programming},
  volume =              {77},
  number =              {10-11},
  pages =               {1122-1150},
  year =                {2012},
  month =               sep,
  doi =                 {10.1016/j.scico.2011.07.006},
}
[DDG07] Stéphane Demri, Deepak D'Souza et Régis Gascon. Decidable Temporal Logic with Repeating Values. In LFCS'07, Lecture Notes in Computer Science 4514, pages 180-194. Springer-Verlag, juin 2007.
@inproceedings{lfcs2007-DDG,
  author =              {Demri, St{\'e}phane and D'Souza, Deepak and Gascon,
                         R{\'e}gis},
  title =               {Decidable Temporal Logic with Repeating Values},
  editor =              {Artemov, Sergei N. and Nerode, Anil},
  booktitle =           {{P}roceedings of the {I}nternational {S}ymposium
                         {L}ogical {F}oundations of {C}omputer {S}cience
                         ({LFCS}'07)},
  acronym =             {{LFCS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4514},
  pages =               {180-194},
  year =                {2007},
  month =               jun,
}
[DDG+10] Aldric Degorre, Laurent Doyen, Raffaella Gentilini, Jean-François Raskin et Szymon Toruńczyk. Energy and Mean-Payoff Games with Imperfect Information. In CSL'10, Lecture Notes in Computer Science 6247, pages 260-274. Springer-Verlag, août 2010.
@inproceedings{csl2010-DDGRT,
  author =              {Degorre, Aldric and Doyen, Laurent and Gentilini,
                         Raffaella and Raskin, Jean-Fran{\c c}ois and
                         Toru{\'n}czyk, Szymon},
  title =               {Energy and Mean-Payoff Games with Imperfect
                         Information},
  editor =              {Dawar, Anuj and Veith, Helmut},
  booktitle =           {{P}roceedings of the 24th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'10)},
  acronym =             {{CSL}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6247},
  pages =               {260-274},
  year =                {2010},
  month =               aug,
  doi =                 {10.1007/978-3-642-15205-4_22},
}
[DDL+13] Alexandre David, Dehui Du, Kim Guldstrand Larsen, Axel Legay et Marius Mikučionis. Optimizing Control Strategy Using Statistical Model Checking. In NFM'13, Lecture Notes in Computer Science 7871, pages 352-367. Springer-Verlag, mai 2013.
@inproceedings{nasafm2013-DDLLM,
  author =              {David, Alexandre and Du, Dehui and Larsen, Kim
                         Guldstrand and Legay, Axel and Miku{\v{c}}ionis,
                         Marius},
  title =               {Optimizing Control Strategy Using Statistical Model
                         Checking},
  editor =              {Brat, Guillaume and Rungta, Neha and Venet, Arnaud},
  booktitle =           {{P}roceedings of the th {NASA} {F}ormal {M}ethods
                         {S}ymposium ({NFM}'13)},
  acronym =             {{NFM}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7871},
  pages =               {352-367},
  year =                {2013},
  month =               may,
  doi =                 {10.1007/978-3-642-38088-4_24},
}
[DDM+04] Martin De Wulf, Laurent Doyen, Nicolas Markey et Jean-François Raskin. Robustness and Implementability of Timed Automata. In FORMATS-FTRTFT'04, Lecture Notes in Computer Science 3253, pages 118-133. Springer-Verlag, septembre 2004.
Résumé

In a former paper, we defined a new semantics for timed automata, the Almost ASAP semantics, which is parameterized by Δ to cope with the reaction delay of the controller. We showed that this semantics is implementable provided there exists a strictly positive value for the parameter Δ for which the strategy is correct. In this paper, we define the implementability problem to be the question of existence of such a Δ. We show that this question is closely related to a notion of robustness for timed automata defined in (A. Puri: Dynamical Properties of Timed Automata. FTRTFT, 1998) and prove that the implementability problem is decidable.

@inproceedings{ftrtft2004-DDMR,
  author =              {De{~}Wulf, Martin and Doyen, Laurent and Markey,
                         Nicolas and Raskin, Jean-Fran{\c c}ois},
  title =               {Robustness and Implementability of Timed Automata},
  editor =              {Lakhnech, Yassine and Yovine, Sergio},
  booktitle =           {{P}roceedings of the {J}oint {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'04) and {F}ormal
                         {T}echniques in {R}eal-Time and {F}ault-Tolerant
                         {S}ystems ({FTRTFT}'04)},
  acronym =             {{FORMATS-FTRTFT}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3253},
  pages =               {118-133},
  year =                {2004},
  month =               sep,
  doi =                 {10.1007/978-3-540-30206-3_10},
  abstract =            {In a former paper, we defined a new semantics for
                         timed automata, the Almost ASAP semantics, which is
                         parameterized by \(\Delta\) to cope with the
                         reaction delay of the controller. We showed that
                         this semantics is implementable provided there
                         exists a strictly positive value for the parameter
                         \(\Delta\) for which the strategy is correct. In
                         this paper, we define the implementability problem
                         to be the question of existence of such a
                         \(\Delta\). We show that this question is closely
                         related to a notion of robustness for timed automata
                         defined in (A.~Puri: \textit{Dynamical Properties of
                         Timed Automata}. FTRTFT, 1998) and prove that the
                         implementability problem is decidable.},
}
[DDM+08] Martin De Wulf, Laurent Doyen, Nicolas Markey et Jean-François Raskin. Robust Safety of Timed Automata. Formal Methods in System Design 33(1-3):45-84. Springer-Verlag, décembre 2008.
Résumé

Timed automata are governed by an idealized semantics that assumes a perfectly precise behavior of the clocks. The traditional semantics is not robust because the slightest perturbation in the timing of actions may lead to completely different behaviors of the automaton. Following several recent works, we consider a relaxation of this semantics, in which guards on transitions are widened by Δ>0 and clocks can drift by ε>0. The relaxed semantics encompasses the imprecisions that are inevitably present in an implementation of a timed automaton, due to the finite precision of digital clocks.

We solve the safety verification problem for this robust semantics: given a timed automaton and a set of bad states, our algorithm decides if there exist positive values for the parameters Δ and ε such that the timed automaton never enters the bad states under the relaxed semantics.

@article{fmsd33(1-3)-DDMR,
  author =              {De{~}Wulf, Martin and Doyen, Laurent and Markey,
                         Nicolas and Raskin, Jean-Fran{\c c}ois},
  title =               {Robust Safety of Timed Automata},
  publisher =           {Springer-Verlag},
  journal =             {Formal Methods in System Design},
  volume =              {33},
  number =              {1-3},
  pages =               {45-84},
  year =                {2008},
  month =               dec,
  doi =                 {10.1007/s10703-008-0056-7},
  abstract =            {Timed automata are governed by an idealized
                         semantics that assumes a perfectly precise behavior
                         of the clocks. The traditional semantics is not
                         robust because the slightest perturbation in the
                         timing of actions may lead to completely different
                         behaviors of the automaton. Following several recent
                         works, we consider a relaxation of this semantics,
                         in which guards on transitions are widened
                         by~\(\Delta>0\) and clocks can drift
                         by~\(\epsilon>0\). The relaxed semantics encompasses
                         the imprecisions that are inevitably present in an
                         implementation of a timed automaton, due to the
                         finite precision of digital clocks.\par We solve the
                         safety verification problem for this robust
                         semantics: given a timed automaton and a set of bad
                         states, our algorithm decides if there exist
                         positive values for the parameters~\(\Delta\)
                         and~\(\epsilon\) such that the timed automaton never
                         enters the bad states under the relaxed semantics.},
}
[DDR04] Martin De Wulf, Laurent Doyen et Jean-François Raskin. Almost ASAP Semantics: From Timed Models to Timed Implementations. In HSCC'04, Lecture Notes in Computer Science 2993, pages 296-310. Springer-Verlag, mars 2004.
@inproceedings{hscc2004-DDR,
  author =              {De{~}Wulf, Martin and Doyen, Laurent and Raskin,
                         Jean-Fran{\c c}ois},
  title =               {Almost {ASAP} Semantics: From Timed Models to Timed
                         Implementations},
  editor =              {Alur, Rajeev and Pappas, George J.},
  booktitle =           {{P}roceedings of the 7th {I}nternational {W}orkshop
                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'04)},
  acronym =             {{HSCC}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2993},
  pages =               {296-310},
  year =                {2004},
  month =               mar,
}
[DDR05] Martin De Wulf, Laurent Doyen et Jean-François Raskin. Almost ASAP Semantics: From Timed Models to Timed Implementations. Formal Aspects of Computing 17(3):319-341. Springer-Verlag, 2005.
@article{fac17(3)-DDR,
  author =              {De{~}Wulf, Martin and Doyen, Laurent and Raskin,
                         Jean-Fran{\c c}ois},
  title =               {Almost {ASAP} Semantics: From Timed Models to Timed
                         Implementations},
  publisher =           {Springer-Verlag},
  journal =             {Formal Aspects of Computing},
  volume =              {17},
  number =              {3},
  pages =               {319-341},
  year =                {2005},
}
[De94] Sergio De Agostino. P-complete problems in data compression. Theoretical Computer Science 127(1):181-186. Elsevier, mai 1994.
@article{tcs127(1)-Dea,
  author =              {De{~}Agostino, Sergio},
  title =               {{P}-complete problems in data compression},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {127},
  number =              {1},
  pages =               {181-186},
  year =                {1994},
  month =               may,
}
[De00] Sergio De Agostino. Erratum to "P-complete Problems in Data Compression". Theoretical Computer Science 234(1-2):325-326. Elsevier, mars 2000.
@article{tcs234(1-2)-Dea,
  author =              {De{~}Agostino, Sergio},
  title =               {Erratum to {"}{P}-complete Problems in Data
                         Compression{"}},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {234},
  number =              {1-2},
  pages =               {325-326},
  year =                {2000},
  month =               mar,
}
[De06] Martin De Wulf. From Timed Models to Timed Implementations. Thèse de doctorat, Département d'Informatique, Université Libre de Bruxelles, Belgium, Décembre 2006.
@phdthesis{phd-dewulf,
  author =              {De{~}Wulf, Martin},
  title =               {From Timed Models to Timed Implementations},
  year =                {2006},
  month =               dec,
  school =              {D{\'e}partement d'Informatique, Universit{\'e} Libre
                         de Bruxelles, Belgium},
  type =                {Th\`ese de doctorat},
}
[DEG+15] Antoine Durand-Gasselin, Javier Esparza, Pierre Ganty et Rupak Majumdar. Model Checking Parameterized Asynchronous Shared-Memory Systems. In CAV'15, Lecture Notes in Computer Science 9206, pages 67-84. Springer-Verlag, juillet 2015.
@inproceedings{cav2015-DEGM,
  author =              {Durand{-}Gasselin, Antoine and Esparza, Javier and
                         Ganty, Pierre and Majumdar, Rupak},
  title =               {Model Checking Parameterized Asynchronous
                         Shared-Memory Systems},
  editor =              {Kroening, Daniel and Pasareanu, Corina S.},
  booktitle =           {{P}roceedings of the 27th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'15)},
  acronym =             {{CAV}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9206},
  pages =               {67-84},
  year =                {2015},
  month =               jul,
  doi =                 {10.1007/978-3-319-21690-4_5},
}
[DFF+04] Erik D. Demaine, Rudolf Fleischer, Aviezri S. Fraenkel et Richard J. Nowakowski. Appendix B: Open Problems at the 2002 Dagstuhl Seminar on Algebraic Combinatorial Game Theory. Theoretical Computer Science 313(3):539-543. Elsevier, février 2004.
@article{tcs313(3)-DFFN,
  author =              {Demaine, Erik D. and Fleischer, Rudolf and Fraenkel,
                         Aviezri S. and Nowakowski, Richard J.},
  title =               {Appendix~{B}: {O}pen Problems at the 2002 {D}agstuhl
                         Seminar on Algebraic Combinatorial Game Theory},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {313},
  number =              {3},
  pages =               {539-543},
  year =                {2004},
  month =               feb,
}
[DG00] Volker Diekert et Paul Gastin. LTL is Expressively Complete for Mazurkiewicz Traces. In ICALP'00, Lecture Notes in Computer Science 1853, pages 211-222. Springer-Verlag, juillet 2000.
@inproceedings{icalp2000-DG,
  author =              {Diekert, Volker and Gastin, Paul},
  title =               {{LTL} is Expressively Complete for {M}azurkiewicz
                         Traces},
  editor =              {Montanari, Ugo and Rolim, Jos\'e D. P. and Welzl,
                         Emo},
  booktitle =           {{P}roceedings of the 27th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'00)},
  acronym =             {{ICALP}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1853},
  pages =               {211-222},
  year =                {2000},
  month =               jul,
}
[DG02] Jennifer M. Davoren et Rajeev Prabhakar Gore. Bimodal Logics for Reasoning about Continuous Dynamics. In AIML'00. World Scientific, 2002.
@inproceedings{aiml2000-DG,
  author =              {Davoren, Jennifer M. and Gore, Rajeev Prabhakar},
  title =               {Bimodal Logics for Reasoning about Continuous
                         Dynamics},
  editor =              {de Rijke, Marteen and Wansing, Heinrich and Wolter,
                         Frank and Zakharyaschev, Michael},
  booktitle =           {{P}roceedings of the 3rd {W}orkshop on {A}dvances in
                         {M}odal {L}ogic ({AIML}'00)},
  acronym =             {{AIML}'00},
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}
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  title =               {Weighted automata and weighted logics},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {380},
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}
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  author =              {Dawar, Anuj and Gr{\"a}del, Erich},
  title =               {The Descriptive Complexity of Parity Games},
  editor =              {Kaminski, Michael and Martini, Simone},
  booktitle =           {{P}roceedings of the 22nd {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'08)},
  acronym =             {{CSL}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5213},
  pages =               {354-368},
  year =                {2008},
  month =               sep,
  doi =                 {10.1007/978-3-540-87531-4_26},
}
[DG08] Volker Diekert et Paul Gastin. First-order definable languages. In Jörg Flum, Erich Grädel et Thomas Wilke (eds.), Logic and Automata: History and Perspectives, Texts in Logic and Games 2, pages 261-306. Amsterdam University Press, 2008.
@incollection{lahp2008-DG,
  author =              {Diekert, Volker and Gastin, Paul},
  title =               {First-order definable languages},
  editor =              {Flum, J{\"o}rg and Gr{\"a}del, Erich and Wilke,
                         Thomas},
  booktitle =           {Logic and Automata: History and Perspectives},
  publisher =           {Amsterdam University Press},
  series =              {Texts in Logic and Games},
  volume =              {2},
  pages =               {261-306},
  year =                {2008},
}
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@article{jlc19(6)-DG,
  author =              {Demri, St{\'e}phane and Gascon, R{\'e}gis},
  title =               {The Effects of Bounding Syntactic Resources on
                         {P}resburger~{LTL}},
  publisher =           {Oxford University Press},
  journal =             {Journal of Logic and Computation},
  volume =              {19},
  number =              {6},
  pages =               {1541-1575},
  year =                {2009},
  month =               dec,
  doi =                 {10.1093/logcom/exp037},
}
[DGP09] Constantinos Daskalakis, Paul W. Goldberg et Christos H. Papadimitriou. The complexity of computing a Nash equilibrium. SIAM Journal on Computing 39(1):195-259. Society for Industrial and Applied Math., 2009.
@article{siamcomp39(1)-DGP,
  author =              {Daskalakis, Constantinos and Goldberg, Paul W. and
                         Papadimitriou, {\relax Ch}ristos H.},
  title =               {The complexity of computing a {N}ash equilibrium},
  publisher =           {Society for Industrial and Applied Math.},
  journal =             {SIAM Journal on Computing},
  volume =              {39},
  number =              {1},
  pages =               {195-259},
  year =                {2009},
}
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@techreport{CFV-2009-121-DGR,
  author =              {Doyen, Laurent and Gentilini, Raffaella and Raskin,
                         Jean-Fran{\c c}ois},
  title =               {Faster Pseudo-Polynomial Algorithms for Mean-Payoff
                         Games},
  number =              {2009-121},
  year =                {2009},
  institution =         {CFV},
  type =                {Technical Report},
}
[DGR+09] Laurent Doyen, Gilles Geeraerts, Jean-François Raskin et Julien Reichert. Realizability of Real-Time Logics. In FORMATS'09, Lecture Notes in Computer Science 5813, pages 133-148. Springer-Verlag, septembre 2009.
@inproceedings{formats2009-DGRR,
  author =              {Doyen, Laurent and Geeraerts, Gilles and Raskin,
                         Jean-Fran{\c c}ois and Reichert, Julien},
  title =               {Realizability of Real-Time Logics},
  editor =              {Ouaknine, Jo{\"e}l and Vaandrager, Frits},
  booktitle =           {{P}roceedings of the 7th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'09)},
  acronym =             {{FORMATS}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5813},
  pages =               {133-148},
  year =                {2009},
  month =               sep,
}
[DGR+10] Barbara Di Giampaolo, Gilles Geeraerts, Jean-François Raskin et Tali Sznajder. Safraless procedures for timed specifications. In FORMATS'10, Lecture Notes in Computer Science 6246, pages 2-22. Springer-Verlag, septembre 2010.
@inproceedings{formats2010-DGRS,
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  title =               {Safraless procedures for timed specifications},
  editor =              {Chatterjee, Krishnendu and Henzinger, Thomas A.},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'10)},
  acronym =             {{FORMATS}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6246},
  pages =               {2-22},
  year =                {2010},
  month =               sep,
}
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                         {\L}o{\'s}-Tarski},
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                         {DBM} Subtraction},
  editor =              {Asarin, Eugene and Bouyer, Patricia},
  booktitle =           {{P}roceedings of the 4th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'06)},
  acronym =             {{FORMATS}'06},
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                         {V}erification and {V}alidation of {M}odel-Based
                         {P}lanning and {S}chedulin {S}ystems ({VV\&PS}'05)},
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                         of Real Numbers},
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                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'00)},
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                         {L}ogic in {C}omputer {S}cience ({LICS}'02)},
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  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'07)},
  acronym =             {{FORMATS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4763},
  pages =               {130-146},
  year =                {2007},
  month =               oct,
}
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  author =              {Dembinski, Piotr and Janowska, Agata and Janowski,
                         Pawe{\l} and Penczek, Wojciech and P{\'o}lrola,
                         Agata and Szreter, Maciej and Wo{\'z}na, Bo{\.z}na
                         and Zbrzezny, Andrzej},
  title =               {Verics: A~Tool for Verifying Timed Automata and
                         Estelle Specifications},
  editor =              {Garavel, Hubert and Hatcliff, John},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'03)},
  acronym =             {{TACAS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2619},
  pages =               {278-283},
  year =                {2003},
  month =               apr,
}
[DJL+13] Stéphane Demri, Marcin Jurdziński, Oded Lachish et Ranko Lazić. The covering and boundedness problems for branching vector addition systems. Journal of Computer and System Sciences 79(1):23-38. Elsevier, février 2013.
@article{jcss79(1)-DJLL,
  author =              {Demri, St{\'e}phane and Jurdzi{\'n}ski, Marcin and
                         Lachish, Oded and Lazi{\'c}, Ranko},
  title =               {The covering and boundedness problems for branching
                         vector addition systems},
  publisher =           {Elsevier},
  journal =             {Journal of Computer and System Sciences},
  volume =              {79},
  number =              {1},
  pages =               {23-38},
  year =                {2013},
  month =               feb,
  doi =                 {10.1016/j.jcss.2012.04.002},
}
[DJL+14] Laurent Doyen, Line Juhl, Kim Guldstrand Larsen, Nicolas Markey et Mahsa Shirmohammadi. Synchronizing words for weighted and timed automata. In FSTTCS'14, Leibniz International Proceedings in Informatics 29, pages 121-132. Leibniz-Zentrum für Informatik, décembre 2014.
Résumé

The problem of synchronizing automata is concerned with the existence of a word that sends all states ofM the automaton to one and the same state. This problem has classically been studied for complete deterministic finite automata, with the existence problem being NLOGSPACE-complete.

In this paper we consider synchronizing-word problems for weighted and timed automata. We consider the synchronization problem in several variants and combinations of these, including deterministic and non-deterministic timed and weighted automata, synchronization to unique location with possibly different clock valuations or accumulated weights, as well as synchronization with a safety condition forbidding the automaton to visit states outside a safety-set during synchronization (e.g. energy constraints). For deterministic weighted automata, the synchronization problem is proven PSPACE-complete under energy constraints, and in 3-EXPSPACE under general safety constraints. For timed automata the synchronization problems are shown to be PSPACE-complete in the deterministic case, and undecidable in the non-deterministic case.

@inproceedings{fsttcs2014-DJLMS,
  author =              {Doyen, Laurent and Juhl, Line and Larsen, Kim
                         Guldstrand and Markey, Nicolas and Shirmohammadi,
                         Mahsa},
  title =               {Synchronizing words for weighted and timed automata},
  editor =              {Raman, Venkatesh and Suresh, S. P.},
  booktitle =           {{P}roceedings of the 34th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'14)},
  acronym =             {{FSTTCS}'14},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {29},
  pages =               {121-132},
  year =                {2014},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2014.121},
  abstract =            {The problem of synchronizing automata is concerned
                         with the existence of a word that sends all states
                         ofM the automaton to one and the same state. This
                         problem has classically been studied for complete
                         deterministic finite automata, with the existence
                         problem being NLOGSPACE-complete.\par In this paper
                         we consider synchronizing-word problems for weighted
                         and timed automata. We consider the synchronization
                         problem in several variants and combinations of
                         these, including deterministic and non-deterministic
                         timed and weighted automata, synchronization to
                         unique location with possibly different clock
                         valuations or accumulated weights, as well as
                         synchronization with a safety condition forbidding
                         the automaton to visit states outside a safety-set
                         during synchronization (e.g. energy constraints).
                         For deterministic weighted automata, the
                         synchronization problem is proven PSPACE-complete
                         under energy constraints, and in 3-EXPSPACE under
                         general safety constraints. For timed automata the
                         synchronization problems are shown to be
                         PSPACE-complete in the deterministic case, and
                         undecidable in the non-deterministic case.},
}
[DJL+15] Alexandre David, Peter Gjøl Jensen, Kim Guldstrand Larsen, Marius Mikučionis et Jakob Haar Taankvist. Uppaal Stratego. In TACAS'15, Lecture Notes in Computer Science 9035, pages 206-211. Springer-Verlag, avril 2015.
@inproceedings{tacas2015-DLLMW,
  author =              {David, Alexandre and Jensen, Peter Gj{\o}l and
                         Larsen, Kim Guldstrand and Miku{\v{c}}ionis, Marius
                         and Taankvist, Jakob Haar},
  title =               {Uppaal Stratego},
  editor =              {Baier, {\relax Ch}ristel and Tinelli, Cesare},
  booktitle =           {{P}roceedings of the 21st {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'15)},
  acronym =             {{TACAS}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9035},
  pages =               {206-211},
  year =                {2015},
  month =               apr,
  doi =                 {10.1007/978-3-662-46681-0_16},
}
[DJW97] Stefan Dziembowski, Marcin Jurdziński et Igor Walukiewicz. How Much Memory is Needed to Win Infinite Games. In LICS'97, pages 99-110. IEEE Comp. Soc. Press, juin 1997.
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  booktitle =           {{P}roceedings of the 12th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'97)},
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  publisher =           {IEEE Comp. Soc. Press},
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  title =               {Symbolic robustness analysis of timed automata},
  editor =              {Asarin, Eugene and Bouyer, Patricia},
  booktitle =           {{P}roceedings of the 4th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'06)},
  acronym =             {{FORMATS}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4202},
  pages =               {143-155},
  year =                {2006},
  month =               sep,
}
[DKL07] Henning Dierks, Sebastian Kupferschmid et Kim Guldstrand Larsen. Automatic abstraction refinement for timed automata. In FORMATS'07, Lecture Notes in Computer Science 4763, pages 114-129. Springer-Verlag, octobre 2007.
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                         Larsen, Kim Guldstrand},
  title =               {Automatic abstraction refinement for timed automata},
  editor =              {Raskin, Jean-Fran{\c c}ois and Thiagarajan, P. S.},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'07)},
  acronym =             {{FORMATS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4763},
  pages =               {114-129},
  year =                {2007},
  month =               oct,
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}
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                         Martin},
  title =               {On Regular Temporal Logics with Past},
  editor =              {Albers, Susanne and Marchetti{-}Spaccamela Alberto
                         and Matias, Yossi and Nikoletseas, Sotiris and
                         Thomas, Wolfgang},
  booktitle =           {{P}roceedings of the 36th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'09)~-- Part~{II}},
  acronym =             {{ICALP}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5556},
  pages =               {175-187},
  year =                {2009},
  month =               jul,
  doi =                 {10.1007/978-3-642-02930-1_15},
}
[DKM+15] Samir Datta, Raghav Kulkarni, Anish Mukherjee, Thomas Schwentick et Thomas Zeume. Reachability is in DynFO. In ICALP'15, Lecture Notes in Computer Science 9135, pages 159-170. Springer-Verlag, juillet 2015.
@inproceedings{icalp2015-DKMSZ,
  author =              {Datta, Samir and Kulkarni, Raghav and Mukherjee,
                         Anish and Schwentick, Thomas and Zeume, Thomas},
  title =               {Reachability is in {D}yn{F}O},
  editor =              {Halld{\'o}rsson, Magn{\'u}s M. and Iwana, Kazuo and
                         Kobayashi, Naoki and Speckmann, Bettina},
  booktitle =           {{P}roceedings of the 42nd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'15)~-- Part~{II}},
  acronym =             {{ICALP}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9135},
  pages =               {159-170},
  year =                {2015},
  month =               jul,
  doi =                 {10.1007/978-3-662-47666-6_13},
}
[DKP91] Nachum Dershowitz, Stéphane Kaplan et David A. Plaisted. Rewrite, Rewrite, Rewrite, Rewrite, Rewrite, .... Theoretical Computer Science 83(1):71-96. Elsevier, 1991.
@article{tcs83(1)-DKP,
  author =              {Dershowitz, Nachum and Kaplan, St{\'e}phane and
                         Plaisted, David A.},
  title =               {Rewrite, Rewrite, Rewrite, Rewrite, Rewrite,~...},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {83},
  number =              {1},
  pages =               {71-96},
  year =                {1991},
}
[DKR08] Manfred Droste, Werner Kuich et George Rahonis. Multi-Valued MSO Logics over Words and Trees. Fundamenta Informaticae 84(13-4):305-327. IOS Press, 2008.
@article{fundi84(3-4)-DKR,
  author =              {Droste, Manfred and Kuich, Werner and Rahonis,
                         George},
  title =               {Multi-Valued {MSO} Logics over Words and Trees},
  publisher =           {IOS Press},
  journal =             {Fundamenta Informaticae},
  volume =              {84},
  number =              {13-4},
  pages =               {305-327},
  year =                {2008},
}
[DKR+17] Manfred Droste, Temur Kutsia, George Rahonis et Wolfgang Schreiner. MK-fuzzy Automata and MSO Logics. In GandALF'17, Electronic Proceedings in Theoretical Computer Science 256, pages 106-120. Septembre 2017.
@inproceedings{gandalf2017-DKRS,
  author =              {Droste, Manfred and Kutsia, Temur and Rahonis,
                         George and Schreiner, Wolfgang},
  title =               {{MK}-fuzzy Automata and {MSO} Logics},
  editor =              {Bouyer, Patricia and Orlandini, Andrea and
                         San{~}Pietro, Pierluigi},
  booktitle =           {{P}roceedings of the 8th {I}nternational {S}ymposium
                         on {G}ames, {A}utomata, {L}ogics and {F}ormal
                         {V}erification ({GandALF}'17)},
  acronym =             {{GandALF}'17},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {256},
  pages =               {106-120},
  year =                {2017},
  month =               sep,
  doi =                 {10.4204/EPTCS.256.8},
}
[DKV09] Manfred Droste, Werner Kuich et Walter Vogler. Handbook of Weighted Automata. Springer-Verlag, 2009.
@book{hwa-DKV,
  title =               {Handbook of Weighted Automata},
  editor =              {Droste, Manfred and Kuich, Werner and Vogler,
                         Walter},
  booktitle =           {Handbook of Weighted Automata},
  publisher =           {Springer-Verlag},
  year =                {2009},
}
[DL94] Giuseppe De Giacomo et Maurizio Lenzerini. Concept Language with Number Restrictions and Fixpoints, and its Relationship with Mu-Calculus. In ECAI'94, pages 411-415. John Wiley & Sons, août 1994.
@inproceedings{ecai1994-DGL,
  author =              {De{~}Giacomo, Giuseppe and Lenzerini, Maurizio},
  title =               {Concept Language with Number Restrictions and
                         Fixpoints, and its Relationship with Mu-Calculus},
  editor =              {Cohn, Anthony G.},
  booktitle =           {{P}roceedings of the 11th {E}uropean {C}onference on
                         {A}rtificial {I}ntelligence ({ECAI}'94)},
  acronym =             {{ECAI}'94},
  publisher =           {John Wiley \& Sons},
  pages =               {411-415},
  year =                {1994},
  month =               aug,
}
[DLF+16] Alexandre Duret-Lutz, Alexandre Lewkowicz, Amaury Fauchille, Thibault Michaud, Étienne Renault et Laurent Xu. Spot 2.0 – A Framework for LTL and ω-Automata Manipulation. In ATVA'16, Lecture Notes in Computer Science 9938, pages 122-129. Springer-Verlag, octobre 2016.
@inproceedings{atva2016-DLFMRX,
  author =              {Duret{-}Lutz, Alexandre and Lewkowicz, Alexandre and
                         Fauchille, Amaury and Michaud, Thibault and Renault,
                         {\'E}tienne and Xu, Laurent},
  title =               {Spot~2.0~-- {A}~Framework for {LTL} and
                         {{\(\omega\)}}-Automata Manipulation},
  editor =              {Artho, Cyrille and Legay, Axel and Peled, Doron A.},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {S}ymposium on {A}utomated {T}echnology for
                         {V}erification and {A}nalysis ({ATVA}'16)},
  acronym =             {{ATVA}'16},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9938},
  pages =               {122-129},
  year =                {2016},
  month =               oct,
  doi =                 {10.1007/978-3-319-46520-3_8},
}
[DLL+12] Alexandre David, Kim Guldstrand Larsen, Axel Legay et Marius Mikučionis. Schedulability of Herschel-Planck Revisited Using Statistical Model Checking. In ISoLA'12, Lecture Notes in Computer Science 7610, pages 293-307. Springer-Verlag, octobre 2012.
@inproceedings{isola2012-DLLM,
  author =              {David, Alexandre and Larsen, Kim Guldstrand and
                         Legay, Axel and Miku{\v{c}}ionis, Marius},
  title =               {Schedulability of {H}erschel-{P}lanck Revisited
                         Using Statistical Model Checking},
  editor =              {Margaria, Tiziana and Steffen, Bernhard},
  booktitle =           {{P}roceedings of the 5th {I}nternational {S}ymposium
                         on {L}everaging {A}pplications of {F}ormal {M}ethods
                         ({IS}o{LA}'12)~-- {P}art~{II}: {A}pplications and
                         {C}ase {S}tudies},
  acronym =             {{IS}o{LA}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7610},
  pages =               {293-307},
  year =                {2012},
  month =               oct,
  doi =                 {10.1007/978-3-642-34032-1},
}
[DLL+10] Alexandre David, Kim Guldstrand Larsen, Shuhao Li, Marius Mikučionis et Brian Nielsen. Testing Real-Time Systems under Uncertainty. In FMCO'10, Lecture Notes in Computer Science 6957, pages 352-371. Springer-Verlag, décembre 2010.
@inproceedings{fmco2010-DLLMN,
  author =              {David, Alexandre and Larsen, Kim Guldstrand and Li,
                         Shuhao and Miku{\v{c}}ionis, Marius and Nielsen,
                         Brian},
  title =               {Testing Real-Time Systems under Uncertainty},
  booktitle =           {{R}evised {P}apers of the 13th {I}nternational
                         {C}onference on {F}ormal {M}ethods for {C}omponents
                         and {O}bjects ({FMCO}'10)},
  acronym =             {{FMCO}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6957},
  pages =               {352-371},
  year =                {2010},
  month =               dec,
  doi =                 {10.1007/978-3-642-25271-6_19},
}
[DLL+11] Alexandre David, Kim Guldstrand Larsen, Axel Legay, Marius Mikučionis, Danny Bøgsted Poulsen, Jonas van Vliet et Zheng Wang. Statistical Model Checking for Networks of Priced Timed Automata. In FORMATS'11, Lecture Notes in Computer Science 6919, pages 80-96. Springer-Verlag, septembre 2011.
@inproceedings{formats2011-DLLMPVW,
  author =              {David, Alexandre and Larsen, Kim Guldstrand and
                         Legay, Axel and Miku{\v{c}}ionis, Marius and
                         Poulsen, Danny B{\o}gsted and van Vliet, Jonas and
                         Wang, Zheng},
  title =               {Statistical Model Checking for Networks of Priced
                         Timed Automata},
  editor =              {Fahrenberg, Uli and Tripakis, Stavros},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'11)},
  acronym =             {{FORMATS}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6919},
  pages =               {80-96},
  year =                {2011},
  month =               sep,
}
[DLL+11] Alexandre David, Kim Guldstrand Larsen, Axel Legay, Marius Mikučionis et Zheng Wang. Time for Statistical Model Checking of Real-Time Systems. In CAV'11, Lecture Notes in Computer Science 6806, pages 349-355. Springer-Verlag, juillet 2011.
@inproceedings{cav2011-DLLMW,
  author =              {David, Alexandre and Larsen, Kim Guldstrand and
                         Legay, Axel and Miku{\v{c}}ionis, Marius and Wang,
                         Zheng},
  title =               {Time for Statistical Model Checking of Real-Time
                         Systems},
  editor =              {Gopalakrishnan, Ganesh and Qadeer, Shaz},
  booktitle =           {{P}roceedings of the 23rd {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'11)},
  acronym =             {{CAV}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6806},
  pages =               {349-355},
  year =                {2011},
  month =               jul,
  doi =                 {10.1007/978-3-642-22110-1_27},
}
[DLL+08] Alexandre David, Kim Guldstrand Larsen, Shuhao Li et Brian Nielsen. A Game-Theoretic Approach to Real-Time System Testing. In DATE'08, pages 486-491. IEEE Comp. Soc. Press, mars 2008.
@inproceedings{date2008-DLLN,
  author =              {David, Alexandre and Larsen, Kim Guldstrand and Li,
                         Shuhao and Nielsen, Brian},
  title =               {A Game-Theoretic Approach to Real-Time System
                         Testing},
  booktitle =           {{P}roceedings of the 2008 {D}esign, {A}utomation and
                         {T}est in {E}urope ({DATE}'08)},
  acronym =             {{DATE}'08},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {486-491},
  year =                {2008},
  month =               mar,
}
[DLL+13] Alexandre David, Kim Guldstrand Larsen, Axel Legay et Danny Bøgsted Poulsen. Statistical Model Checking of Dynamic Networks of Stochastic Hybrid Automata. In AVOCS'13, Electronic Communications of the EASST 10. European Association of Software Science and Technology, septembre 2013.
@inproceedings{avocs2013-DLLP,
  author =              {David, Alexandre and Larsen, Kim Guldstrand and
                         Legay, Axel and Poulsen, Danny B{\o}gsted},
  title =               {Statistical Model Checking of Dynamic Networks of
                         Stochastic Hybrid Automata},
  editor =              {Schneider, Steve and Treharne, Helen},
  booktitle =           {{P}roceedings of the 13th {I}nternational {W}orkshop
                         on {A}utomated {V}erification of {C}ritical
                         {S}ystems ({AVOCS}'13)},
  acronym =             {{AVOCS}'13},
  publisher =           {European Association of Software Science and
                         Technology},
  series =              {Electronic Communications of the EASST},
  volume =              {10},
  year =                {2013},
  month =               sep,
}
[DLM10] Arnaud Da Costa, François Laroussinie et Nicolas Markey. ATL with strategy contexts: Expressiveness and Model Checking. In FSTTCS'10, Leibniz International Proceedings in Informatics 8, pages 120-132. Leibniz-Zentrum für Informatik, décembre 2010.
Résumé

We study the alternating-time temporal logics ATL and ATL* extended with strategy contexts: these make agents commit to their strategies during the evaluation of formulas, contrary to plain ATL and ATL* where strategy quantifiers reset previously selected strategies.

We illustrate the important expressive power of strategy contexts by proving that they make the extended logics, namely ATLsc and ATLsc*, equally expressive: any formula in ATLsc* can be translated into an equivalent, linear-size ATLsc formula. Despite the high expressiveness of these logics, we prove that they remain decidable by designing a tree-automata-based algorithm for model-checking ATLsc on the full class of n-player concurrent game structures.

@inproceedings{fsttcs2010-DLM,
  author =              {Da{~}Costa, Arnaud and Laroussinie, Fran{\c c}ois
                         and Markey, Nicolas},
  title =               {{ATL} with strategy contexts: Expressiveness and
                         Model Checking},
  editor =              {Lodaya, Kamal and Mahajan, Meena},
  booktitle =           {{P}roceedings of the 30th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'10)},
  acronym =             {{FSTTCS}'10},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {8},
  pages =               {120-132},
  year =                {2010},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2010.120},
  abstract =            {We study the alternating-time temporal logics
                         \(\textsf{ATL}\) and~\(\textsf{ATL}^{*}\) extended
                         with strategy contexts: these make agents commit to
                         their strategies during the evaluation of formulas,
                         contrary to plain \(\textsf{ATL}\)
                         and~\(\textsf{ATL}^{*}\) where strategy quantifiers
                         reset previously selected strategies.\par We
                         illustrate the important expressive power of
                         strategy contexts by proving that they make the
                         extended logics, namely
                         \(\textsf{ATL}_{\textsf{sc}}\)
                         and~\(\textsf{ATL}_{\textsf{sc}}^{*}\), equally
                         expressive: any~formula
                         in~\(\textsf{ATL}_{\textsf{sc}}^{*}\) can be
                         translated into an equivalent, linear-size
                         \(\textsf{ATL}_{\textsf{sc}}\) formula. Despite the
                         high expressiveness of these logics, we prove that
                         they remain decidable by designing a
                         tree-automata-based algorithm for model-checking
                         \(\textsf{ATL}_{\textsf{sc}}\) on the full class of
                         \(n\)-player concurrent game structures.},
}
[DLM12] Arnaud Da Costa, François Laroussinie et Nicolas Markey. Quantified CTL: Expressiveness and Model Checking. In CONCUR'12, Lecture Notes in Computer Science 7454, pages 177-192. Springer-Verlag, septembre 2012.
Résumé

While it was defined long ago, the extension of CTL with quantification over atomic propositions has never been studied extensively. Considering two different semantics (depending whether propositional quantification refers to the Kripke structure or to its unwinding tree), we study its expressiveness (showing in particular that QCTL coincides with Monadic Second-Order Logic for both semantics) and characterize the complexity of its model-checking problem, depending on the number of nested propositional quantifiers (showing that the structure semantics populates the polynomial hierarchy while the tree semantics populates the exponential hierarchy). We also show how these results apply to model checking ATL-like temporal logics for games.

@inproceedings{concur2012-DLM,
  author =              {Da{~}Costa, Arnaud and Laroussinie, Fran{\c c}ois
                         and Markey, Nicolas},
  title =               {Quantified~{CTL}: Expressiveness and Model Checking},
  editor =              {Koutny, Maciej and Ulidowski, Irek},
  booktitle =           {{P}roceedings of the 23rd {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'12)},
  acronym =             {{CONCUR}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7454},
  pages =               {177-192},
  year =                {2012},
  month =               sep,
  doi =                 {10.1007/978-3-642-32940-1_14},
  abstract =            {While it was defined long ago, the extension of CTL
                         with quantification over atomic propositions has
                         never been studied extensively. Considering two
                         different semantics (depending whether propositional
                         quantification refers to the Kripke structure or to
                         its unwinding tree), we study its expressiveness
                         (showing in particular that QCTL coincides with
                         Monadic Second-Order Logic for both semantics) and
                         characterize the complexity of its model-checking
                         problem, depending on the number of nested
                         propositional quantifiers (showing that the
                         structure semantics populates the polynomial
                         hierarchy while the tree semantics populates the
                         exponential hierarchy). We also show how these
                         results apply to model checking ATL-like temporal
                         logics for games.},
}
[DLM16] Amélie David, François Laroussinie et Nicolas Markey. On the expressiveness of QCTL. In CONCUR'16, Leibniz International Proceedings in Informatics 59, pages 28:1-28:15. Leibniz-Zentrum für Informatik, août 2016.
Résumé

QCTL extends the temporal logic CTL with quantification over atomic propositions. While the algorithmic questions for QCTL and its fragments with limited quantification depth are well-understood (e.g. satisfiability of QCTLk, with at most k nested blocks of quantifiers, is k+1-EXPTIME-complete), very few results are known about the expressiveness of this logic. We address such expressiveness questions in this paper. We first consider the distinguishing power of these logics (i.e., their ability to separate models), their relationship with behavioural equivalences, and their ability to capture the behaviours of finite Kripke structures with so-called characteristic formulas. We then consider their expressive power (i.e., their ability to express a property), showing that in terms of expressiveness the hierarchy QCTLk collapses at level 2 (in other terms, any QCTL formula can be expressed using at most two nested blocks of quantifiers).

@inproceedings{concur2016-DLM,
  author =              {David, Am{\'e}lie and Laroussinie, Fran{\c c}ois and
                         Markey, Nicolas},
  title =               {On~the expressiveness of~{QCTL}},
  editor =              {Desharnais, Jules and Jagadeesan, Radha},
  booktitle =           {{P}roceedings of the 27th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'16)},
  acronym =             {{CONCUR}'16},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {59},
  pages =               {28:1-28:15},
  year =                {2016},
  month =               aug,
  doi =                 {10.4230/LIPIcs.CONCUR.2016.28},
  abstract =            {QCTL extends the temporal logic CTL with
                         quantification over atomic propositions. While the
                         algorithmic questions for QCTL and its fragments
                         with limited quantification depth are
                         well-understood (e.g. satisfiability of
                         QCTL\textsuperscript{\(k\)}, with at most \(k\)
                         nested blocks of quantifiers, is
                         \(k+1\)-EXPTIME-complete), very few results are
                         known about the expressiveness of this logic.
                         We~address such expressiveness questions in this
                         paper. We first consider the \emph{distinguishing
                         power} of these logics (i.e.,~their ability to
                         separate models), their relationship with
                         behavioural equivalences, and their ability to
                         capture the behaviours of finite Kripke structures
                         with so-called characteristic formulas. We then
                         consider their \emph{expressive power} (i.e.,~their
                         ability to express a property), showing that in
                         terms of expressiveness the hierarchy
                         QCTL\textsuperscript{\(k\)} collapses at level~2
                         (in~other terms, any~QCTL formula can be expressed
                         using at most two nested blocks of quantifiers).},
}
[DLM+13] Peter H. Dalsgaard, Thibault Le Guilly, Daniel Middelhede, Petur Olsen, Thomas Pedersen, Anders P. Ravn et Arne Skou. A Toolchain for Home Automation Controller Development. In SEAA'13, pages 122-129. Septembre 2013.
@inproceedings{HLMOPRS-seaa2013,
  author =              {Dalsgaard, Peter H. and Le{~}Guilly, Thibault and
                         Middelhede, Daniel and Olsen, Petur and Pedersen,
                         Thomas and Ravn, Anders P. and Skou, Arne},
  title =               {A Toolchain for Home Automation Controller
                         Development},
  editor =              {Demir{\"o}rs, Onur and T{\"u}retken, Oktay},
  booktitle =           {{P}roceedings of the 39th {E}uromicro {C}onference
                         on {S}oftware {E}ngineering and {A}dvanced
                         {A}pplications ({SEAA}'13)},
  acronym =             {{SEAA}'13},
  pages =               {122-129},
  year =                {2013},
  month =               sep,
}
[DLR+09] Alexandre David, Kim Guldstrand Larsen, Jacob Illum Rasmussen et Arne Skou. Model-based framework for schedulability analysis using UPPAAL 4.1. In Gabriela Nicolescu et Pieter J. Mosterman (eds.), Model-Based Design for Embedded Systems, Computational Analysis, Synthesis, and Design of Dynamic Systems, pages 93-119. CRC Press, 2009.
@incollection{mbdes2009-DLRS,
  author =              {David, Alexandre and Larsen, Kim Guldstrand and
                         Rasmussen, Jacob Illum and Skou, Arne},
  title =               {Model-based framework for schedulability analysis
                         using UPPAAL~4.1},
  editor =              {Nicolescu, Gabriela and Mosterman, Pieter J.},
  booktitle =           {Model-Based Design for Embedded Systems},
  publisher =           {CRC Press},
  series =              {Computational Analysis, Synthesis, and Design of
                         Dynamic Systems},
  pages =               {93-119},
  year =                {2009},
}
[DLS02] Stéphane Demri, François Laroussinie et Philippe Schnoebelen. A Parametric Analysis of the State Explosion Problem in Model Checking (Extended Abstract). In STACS'02, Lecture Notes in Computer Science 2285, pages 620-631. Springer-Verlag, mars 2002.
@inproceedings{stacs2002-DLS,
  author =              {Demri, St{\'e}phane and Laroussinie, Fran{\c c}ois
                         and Schnoebelen, {\relax Ph}ilippe},
  title =               {A Parametric Analysis of the State Explosion Problem
                         in Model Checking (Extended Abstract)},
  editor =              {Alt, Helmut and Ferreira, Afonso},
  booktitle =           {{P}roceedings of the 19th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'02)},
  acronym =             {{STACS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2285},
  pages =               {620-631},
  year =                {2002},
  month =               mar,
}
[DLS10] Stéphane Demri, Ranko Lazić et Arnaud Sangnier. Model checking memoryful linear-time logics over one-counter automata. Theoretical Computer Science 411(22-24):2298-2316. Elsevier, mai 2010.
@article{tcs411(22-24)-DLS,
  author =              {Demri, St{\'e}phane and Lazi{\'c}, Ranko and
                         Sangnier, Arnaud},
  title =               {Model checking memoryful linear-time logics over
                         one-counter automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {411},
  number =              {22-24},
  pages =               {2298-2316},
  year =                {2010},
  month =               may,
  doi =                 {10.1016/j.tcs.2010.02.021},
}
[DM86] Partha Dasgupta et Eric Maskin. The Existence of Equilibrium in Discontinuous Economic Games, 1: Theory. The Review of Economic Studies 53(1):1-26. Oxford University Press, janvier 1986.
@article{res53(1)-DM1,
  author =              {Dasgupta, Partha and Maskin, Eric},
  title =               {The Existence of Equilibrium in Discontinuous
                         Economic Games, 1:~{T}heory},
  publisher =           {Oxford University Press},
  journal =             {The Review of Economic Studies},
  volume =              {53},
  number =              {1},
  pages =               {1-26},
  year =                {1986},
  month =               jan,
}
[DM86] Partha Dasgupta et Eric Maskin. The Existence of Equilibrium in Discontinuous Economic Games, 2: Applications. The Review of Economic Studies 53(1):27-41. Oxford University Press, janvier 1986.
@article{res53(1)-DM2,
  author =              {Dasgupta, Partha and Maskin, Eric},
  title =               {The Existence of Equilibrium in Discontinuous
                         Economic Games, 2:~{A}pplications},
  publisher =           {Oxford University Press},
  journal =             {The Review of Economic Studies},
  volume =              {53},
  number =              {1},
  pages =               {27-41},
  year =                {1986},
  month =               jan,
}
[DM02] Deepak D'Souza et Parthasarathy Madhusudan. Timed Control Synthesis for External Specifications. In STACS'02, Lecture Notes in Computer Science 2285, pages 571-582. Springer-Verlag, mars 2002.
@inproceedings{stacs2002-DM,
  author =              {D'Souza, Deepak and Madhusudan, Parthasarathy},
  title =               {Timed Control Synthesis for External Specifications},
  editor =              {Alt, Helmut and Ferreira, Afonso},
  booktitle =           {{P}roceedings of the 19th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'02)},
  acronym =             {{STACS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2285},
  pages =               {571-582},
  year =                {2002},
  month =               mar,
}
[DM18] Dario Della Monica et Aniello Murano. Parity-energy ATL for Qualitative and Quantitative Reasoning in MAS. In AAMAS'18, pages 1441-1449. International Foundation for Autonomous Agents and Multiagent Systems, juillet 2018.
@inproceedings{aamas2018-DM,
  author =              {Della{ }Monica, Dario and Murano, Aniello},
  title =               {Parity-energy {ATL} for Qualitative and Quantitative
                         Reasoning in~{MAS}},
  editor =              {Andr{\'e}, Elisabeth and Koenig, Sven and Dastani,
                         Mehdi and Sukthankar, Gita},
  booktitle =           {{P}roceedings of the 17th {I}nternational
                         {C}onference on {A}utonomous {A}gents and
                         {M}ultiagent {S}ystems ({AAMAS}'18)},
  acronym =             {{AAMAS}'18},
  publisher =           {International Foundation for Autonomous Agents and
                         Multiagent Systems},
  pages =               {1441-1449},
  year =                {2018},
  month =               jul,
}
[DMP18] Cătălin Dima, Bastien Maubert et Sophie Pinchinat. Relating Paths in Transition Systems: The Fall of the Modal Mu-Calculus. ACM Transactions on Computational Logic 19(3):23:1-23:33. ACM Press, septembre 2018.
@article{tocl19(3)-DMS,
  author =              {Dima, C{\u a}t{\u a}lin and Maubert, Bastien and
                         Pinchinat, Sophie},
  title =               {Relating Paths in Transition Systems: The~Fall of
                         the Modal Mu-Calculus},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {19},
  number =              {3},
  pages =               {23:1-23:33},
  year =                {2018},
  month =               sep,
  doi =                 {10.1145/3231596},
}
[DMS11] Laurent Doyen, Thierry Massart et Mahsa Shirmohammadi. Infinite Synchronizing Words for Probabilistic Automata. In MFCS'11, Lecture Notes in Computer Science 6907, pages 278-289. Springer-Verlag, août 2011.
@inproceedings{mfcs2011-DMS,
  author =              {Doyen, Laurent and Massart, {\relax Th}ierry and
                         Shirmohammadi, Mahsa},
  title =               {Infinite Synchronizing Words for Probabilistic
                         Automata},
  editor =              {Murlak, Filip and Sankovski, Piotr},
  booktitle =           {{P}roceedings of the 36th {I}nternational
                         {S}ymposium on {M}athematical {F}oundations of
                         {C}omputer {S}cience ({MFCS}'13)},
  acronym =             {{MFCS}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6907},
  pages =               {278-289},
  year =                {2011},
  month =               aug,
  doi =                 {10.1007/978-3-642-22993-0_27},
}
[DMS12] Laurent Doyen, Thierry Massart et Mahsa Shirmohammadi. Infinite Synchronizing Words for Probabilistic Automata (erratum). Research Report 1206.0995, arXiv, juin 2012.
@techreport{mfcs2011-DMS-erratum,
  author =              {Doyen, Laurent and Massart, {\relax Th}ierry and
                         Shirmohammadi, Mahsa},
  title =               {Infinite Synchronizing Words for Probabilistic
                         Automata (erratum)},
  number =              {1206.0995},
  year =                {2012},
  month =               jun,
  institution =         {arXiv},
  type =                {Research Report},
}
[DMS14] Laurent Doyen, Thierry Massart et Mahsa Shirmohammadi. Limit synchronization in Markov decision processes. In FoSSaCS'14, Lecture Notes in Computer Science 8412, pages 58-72. Springer-Verlag, avril 2014.
@inproceedings{fossacs2014-DMS,
  author =              {Doyen, Laurent and Massart, {\relax Th}ierry and
                         Shirmohammadi, Mahsa},
  title =               {Limit synchronization in {M}arkov decision
                         processes},
  editor =              {Muscholl, Anca},
  booktitle =           {{P}roceedings of the 17th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'14)},
  acronym =             {{FoSSaCS}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8412},
  pages =               {58-72},
  year =                {2014},
  month =               apr,
  doi =                 {10.1007/978-3-642-54830-7_4},
}
[DMS19] Laurent Doyen, Thierry Massart et Mahsa Shirmohammadi. The complexity of synchronizing Markov decision processes. Journal of Computer and System Sciences 100:96-129. Elsevier, mars 2019.
@article{jcss100()-DMS,
  author =              {Doyen, Laurent and Massart, {\relax Th}ierry and
                         Shirmohammadi, Mahsa},
  title =               {The complexity of synchronizing {M}arkov decision
                         processes},
  publisher =           {Elsevier},
  journal =             {Journal of Computer and System Sciences},
  volume =              {100},
  pages =               {96-129},
  year =                {2019},
  month =               mar,
  doi =                 {10.1016/j.jcss.2018.09.004},
}
[DN07] Stéphane Demri et David Nowak. Reasoning about Transfinite Sequences. International Journal of Foundations of Computer Science 18(1):87-112. Février 2007.
@article{ijfcs18(1)-DN,
  author =              {Demri, St{\'e}phane and Nowak, David},
  title =               {Reasoning about Transfinite Sequences},
  journal =             {International Journal of Foundations of Computer
                         Science},
  volume =              {18},
  number =              {1},
  pages =               {87-112},
  year =                {2007},
  month =               feb,
  doi =                 {10.1142/S0129054107004589},
}
[DOT+10] Andreas E. Dalsgaard, Mads Chr. Olesen, Martin Toft, René R. Hansen et Kim Guldstrand Larsen. METAMOC: Modular Execution Time Analysis using Model Checking. In WCET'10, OpenAccess Series in Informatics 15, pages 113-123. Leibniz-Zentrum für Informatik, juillet 2010.
@inproceedings{wcet2010-DOTHL,
  author =              {Dalsgaard, Andreas E. and Olesen, Mads Chr. and
                         Toft, Martin and Hansen, Ren{\'e} R. and Larsen, Kim
                         Guldstrand},
  title =               {METAMOC: Modular Execution Time Analysis using Model
                         Checking},
  editor =              {Lisper, Bj{\"o}rn},
  booktitle =           {{P}roceedings of the 10th {I}nternational {W}orkshop
                         on {W}orst-{C}ase {E}xecution {T}ime {A}nalysis
                         ({WCET}'10)},
  acronym =             {{WCET}'10},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {OpenAccess Series in Informatics},
  volume =              {15},
  pages =               {113-123},
  year =                {2010},
  month =               jul,
}
[DOT+96] Conrado Daws, Alfredo Olivero, Stavros Tripakis et Sergio Yovine. The tool Kronos. In HSCC'95, Lecture Notes in Computer Science 1066, pages 208-219. Springer-Verlag, 1996.
@inproceedings{hscc1995-DOTY,
  author =              {Daws, Conrado and Olivero, Alfredo and Tripakis,
                         Stavros and Yovine, Sergio},
  title =               {The tool {\scshape {K}ronos}},
  editor =              {Alur, Rajeev and Henzinger, Thomas A. and Sontag,
                         Eduardo D.},
  booktitle =           {{H}ybrid {S}ystems~{III}: {V}erification and
                         {C}ontrol ({HSCC}'95)},
  acronym =             {{HSCC}'95},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1066},
  pages =               {208-219},
  year =                {1996},
  confyear =            {1995},
  confmonth =           {10},
}
[Doy06] Laurent Doyen. Algorithmic Analysis of Complex Semantics for Timed and Hybrid Automata. Thèse de doctorat, Département d'Informatique, Université Libre de Bruxelles, Belgium, Juin 2006.
@phdthesis{phd-doyen,
  author =              {Doyen, Laurent},
  title =               {Algorithmic Analysis of Complex Semantics for Timed
                         and Hybrid Automata},
  year =                {2006},
  month =               jun,
  school =              {D{\'e}partement d'Informatique, Universit{\'e} Libre
                         de Bruxelles, Belgium},
  type =                {Th\`ese de doctorat},
}
[Doy07] Laurent Doyen. Robust parametric reachability for timed automata. Information Processing Letters 102(5):208-213. Elsevier, mai 2007.
@article{ipl102(5)-Doy,
  author =              {Doyen, Laurent},
  title =               {Robust parametric reachability for timed automata},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {102},
  number =              {5},
  pages =               {208-213},
  year =                {2007},
  month =               may,
  doi =                 {10.1016/j.ipl.2006.11.018},
}
[Doy12] Laurent Doyen. Games and Automata: From Boolean to Quantitative Verification. Mémoire d'habilitation, École Normale Supérieure de Cachan, France, Mars 2012.
@phdthesis{hdr-doyen,
  author =              {Doyen, Laurent},
  title =               {Games and Automata: From Boolean to Quantitative
                         Verification},
  year =                {2012},
  month =               mar,
  school =              {{\'E}cole Normale Sup{\'e}rieure de Cachan, France},
  type =                {M\'emoire d'habilitation},
}
[DP05] Deepak D'Souza et Pavithra Prabhakar. On the Expressiveness of MTL in the Pointwise and Continuous Semantics. Technical Report IISc-CSA-TR-2005-7, Indian Institute of Science, Bangalore, India, mai 2005.
@techreport{IISc-CSA-TR-2005-7-DP,
  author =              {D'Souza, Deepak and Prabhakar, Pavithra},
  title =               {On the Expressiveness of {MTL} in the Pointwise and
                         Continuous Semantics},
  number =              {IISc-CSA-TR-2005-7},
  year =                {2005},
  month =               may,
  institution =         {Indian Institute of Science, Bangalore, India},
  type =                {Technical Report},
}
[DP07] Deepak D'Souza et Pavithra Prabhakar. On the Expressiveness of MTL in the Pointwise and Continuous Semantics. International Journal on Software Tools for Technology Transfer 9(1):1-4. Springer-Verlag, février 2007.
@article{sttt9(1)-DP,
  author =              {D'Souza, Deepak and Prabhakar, Pavithra},
  title =               {On the Expressiveness of {MTL} in the Pointwise and
                         Continuous Semantics},
  publisher =           {Springer-Verlag},
  journal =             {International Journal on Software Tools for
                         Technology Transfer},
  volume =              {9},
  number =              {1},
  pages =               {1-4},
  year =                {2007},
  month =               feb,
  doi =                 {10.1007/s10009-005-0214-9},
}
[DPP07] Andrea D'Ariano, Dario Pacciarelli et Marco Pranzo. A branch-and-bound algorithm for scheduling trains in a railway network. European Journal of Operational Research 183(2):643-657. Elsevier, décembre 2007.
@article{ejor183(2)-APP,
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                         Pranzo, Marco},
  title =               {A~branch-and-bound algorithm for scheduling trains
                         in a railway network},
  publisher =           {Elsevier},
  journal =             {European Journal of Operational Research},
  volume =              {183},
  number =              {2},
  pages =               {643-657},
  year =                {2007},
  month =               dec,
  doi =                 {10.1016/j.ejor.2006.10.034},
}
[DPV06] Sanjoy Dasgupta, Christos H. Papadimitriou et Vijay V. Vazirani. Algorithms. McGraw-Hill, 2006.
@book{DPV06,
  author =              {Dasgupta, Sanjoy and Papadimitriou, {\relax
                         Ch}ristos H. and Vazirani, Vijay V.},
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[DR95] Volker Diekert et Grzegorz Rozenberg. The Book of Traces. World Scientific, 1995.
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}
[DR10] Laurent Doyen et Jean-François Raskin. Antichain Algorithms for Finite Automata. In TACAS'10, Lecture Notes in Computer Science 6015, pages 2-22. Springer-Verlag, mars 2010.
@inproceedings{tacas2010-DR,
  author =              {Doyen, Laurent and Raskin, Jean-Fran{\c c}ois},
  title =               {Antichain Algorithms for Finite Automata},
  editor =              {Esparza, Javier and Majumdar, Rupak},
  booktitle =           {{P}roceedings of the 16th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'10)},
  acronym =             {{TACAS}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6015},
  pages =               {2-22},
  year =                {2010},
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}
[DRV04] Giorgio Delzanno, Jean-François Raskin et Laurent Van Begin. Covering sharing trees: a compact data structure for parameterized verification. International Journal on Software Tools for Technology Transfer 5(2-3):268-297. Springer-Verlag, 2004.
@article{sttt5(2-3)-DRV,
  author =              {Delzanno, Giorgio and Raskin, Jean-Fran{\c c}ois and
                         Van{~}Begin, Laurent},
  title =               {Covering sharing trees: a compact data structure for
                         parameterized verification},
  publisher =           {Springer-Verlag},
  journal =             {International Journal on Software Tools for
                         Technology Transfer},
  volume =              {5},
  number =              {2-3},
  pages =               {268-297},
  year =                {2004},
}
[DS98] Stéphane Demri et Philippe Schnoebelen. The Complexity of Propositional Linear Temporal Logics in Simple Cases (extended abstract). In STACS'98, Lecture Notes in Computer Science 1373, pages 61-72. Springer-Verlag, février 1998.
@inproceedings{stacs1998-DS,
  author =              {Demri, St{\'e}phane and Schnoebelen, {\relax
                         Ph}ilippe},
  title =               {The Complexity of Propositional Linear Temporal
                         Logics in Simple Cases (extended abstract)},
  editor =              {Morvan, Michel and Meinel, {\relax Ch}ristoph and
                         Krob, Daniel},
  booktitle =           {{P}roceedings of the 15th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'98)},
  acronym =             {{STACS}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1373},
  pages =               {61-72},
  year =                {1998},
  month =               feb,
}
[DS02] Stéphane Demri et Philippe Schnoebelen. The Complexity of Propositional Linear Temporal Logics in Simple Cases. Information and Computation 174(1):84-103. Academic Press, avril 2002.
@article{icomp174(1)-DS,
  author =              {Demri, St{\'e}phane and Schnoebelen, {\relax
                         Ph}ilippe},
  title =               {The Complexity of Propositional Linear Temporal
                         Logics in Simple Cases},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {174},
  number =              {1},
  pages =               {84-103},
  year =                {2002},
  month =               apr,
}
[DS02] Stéphane Demri et Ulrike Sattler. Automata-Theoretic Decision Procedures for Information Logics. Fundamenta Informaticae 53(1):1-22. IOS Press, 2002.
@article{fundi53(1)-DS,
  author =              {Demri, St{\'e}phane and Sattler, Ulrike},
  title =               {Automata-Theoretic Decision Procedures for
                         Information Logics},
  publisher =           {IOS Press},
  journal =             {Fundamenta Informaticae},
  volume =              {53},
  number =              {1},
  pages =               {1-22},
  year =                {2002},
}
[DSK01] Zhe Dang, Pierluigi San Pietro et Richard A. Kemmerer. On Presburger Liveness of Discrete Timed Automata. In STACS'01, Lecture Notes in Computer Science 2010, pages 132-143. Springer-Verlag, février 2001.
@inproceedings{stacs01-DSPK,
  author =              {Dang, Zhe and San{~}Pietro, Pierluigi and Kemmerer,
                         Richard A.},
  title =               {On {P}resburger Liveness of Discrete Timed Automata},
  editor =              {Ferreira, Afonso and Reichel, Horst},
  booktitle =           {{P}roceedings of the 18th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'01)},
  acronym =             {{STACS}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2010},
  pages =               {132-143},
  year =                {2001},
  month =               feb,
}
[DSQ+15] Ankush Desai, Sanjit A. Seshia, Shaz Qadeer, David Broman et John C. Eidson. Approximate synchrony: An abstraction for distributed almost-synchronous systems. In CAV'15, Lecture Notes in Computer Science 9206, pages 429-448. Springer-Verlag, juillet 2015.
@inproceedings{cav2015-DSQBE,
  author =              {Desai, Ankush and Seshia,Sanjit A. and Qadeer, Shaz
                         and Broman, David and Eidson, John C.},
  title =               {Approximate synchrony: An abstraction for
                         distributed almost-synchronous systems},
  editor =              {Kroening, Daniel and Pasareanu, Corina S.},
  booktitle =           {{P}roceedings of the 27th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'15)},
  acronym =             {{CAV}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9206},
  pages =               {429-448},
  year =                {2015},
  month =               jul,
  doi =                 {10.1007/978-3-319-21668-3_25},
}
[DST+12] Giorgio Delzanno, Arnaud Sangnier, Riccardo Traverso et Gianluigi Zavattaro. On the Complexity of Parameterized Reachability in Reconfigurable Broadcast Networks. In FSTTCS'12, Leibniz International Proceedings in Informatics 18, pages 289-300. Leibniz-Zentrum für Informatik, décembre 2012.
@inproceedings{fsttcs12-DSTZ,
  author =              {Delzanno, Giorgio and Sangnier, Arnaud and Traverso,
                         Riccardo and Zavattaro, Gianluigi},
  title =               {On~the Complexity of Parameterized Reachability in
                         Reconfigurable Broadcast Networks},
  editor =              {D'Souza, Deepak and Kavitha, Telikepalli and
                         Radhakrishnan, Jaikumar},
  booktitle =           {{P}roceedings of the 32nd {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'12)},
  acronym =             {{FSTTCS}'12},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {18},
  pages =               {289-300},
  year =                {2012},
  month =               dec,
  doi =                 {LIPIcs.FSTTCS.2012.289},
}
[DSZ10] Giorgio Delzanno, Arnaud Sangnier et Gianluigi Zavattaro. Parameterized Verification of Ad Hoc Networks. In CONCUR'10, Lecture Notes in Computer Science 6269, pages 313-327. Springer-Verlag, septembre 2010.
@inproceedings{concur2010-DSZ,
  author =              {Delzanno, Giorgio and Sangnier, Arnaud and
                         Zavattaro, Gianluigi},
  title =               {Parameterized Verification of Ad~Hoc Networks},
  editor =              {Gastin, Paul and Laroussinie, Fran{\c c}ois},
  booktitle =           {{P}roceedings of the 21st {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'10)},
  acronym =             {{CONCUR}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6269},
  pages =               {313-327},
  year =                {2010},
  month =               sep,
  doi =                 {10.1007/978-3-642-15375-4_22},
}
[DSZ12] Giorgio Delzanno, Arnaud Sangnier et Gianluigi Zavattaro. Verification of Ad Hoc Networks with Node and Communication Failures. In FMOODS/FORTE'12, Lecture Notes in Computer Science 7273, pages 313-327. Springer-Verlag, juin 2012.
@inproceedings{forte2012-DSZ,
  author =              {Delzanno, Giorgio and Sangnier, Arnaud and
                         Zavattaro, Gianluigi},
  title =               {Verification of Ad~Hoc Networks with Node and
                         Communication Failures},
  editor =              {Giese, Holger and Ro{\c{s}}u, Grigore},
  booktitle =           {{P}roceedings of the {J}oint 14th {IFIP} {WG~6.1}
                         {I}nternational {C}onference on {F}ormal {M}ethods
                         for {O}pen {O}bject-{B}ased {D}istributed {S}ystems
                         ({FMOODS}'12) and 32nd {IFIP} {WG~6.1}
                         {I}nternational {C}onference on {F}ormal
                         {T}echniques for {N}etworked and {D}istributed
                         {S}ystems ({FORTE}'12)},
  acronym =             {{FMOODS/FORTE}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7273},
  pages =               {313-327},
  year =                {2012},
  month =               jun,
  doi =                 {10.1007/978-3-642-15375-4_22},
}
[DT98] Conrado Daws et Stavros Tripakis. Model Checking of Real-Time Reachability Properties Using Abstractions. In TACAS'98, Lecture Notes in Computer Science 1384, pages 313-329. Springer-Verlag, mars 1998.
@inproceedings{tacas1998-DT,
  author =              {Daws, Conrado and Tripakis, Stavros},
  title =               {Model Checking of Real-Time Reachability Properties
                         Using Abstractions},
  editor =              {Steffen, Bernhard},
  booktitle =           {{P}roceedings of the 4th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'98)},
  acronym =             {{TACAS}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1384},
  pages =               {313-329},
  year =                {1998},
  month =               mar,
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}
[DT04] Deepak D'Souza et Nicolas Tabareau. On Timed Automata with Input-Determined Guards. In FORMATS-FTRTFT'04, Lecture Notes in Computer Science 3253, pages 68-83. Springer-Verlag, septembre 2004.
@inproceedings{formats2004-DT,
  author =              {D'Souza, Deepak and Tabareau, Nicolas},
  title =               {On~Timed Automata with Input-Determined Guards},
  editor =              {Lakhnech, Yassine and Yovine, Sergio},
  booktitle =           {{P}roceedings of the {J}oint {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'04) and {F}ormal
                         {T}echniques in {R}eal-Time and {F}ault-Tolerant
                         {S}ystems ({FTRTFT}'04)},
  acronym =             {{FORMATS-FTRTFT}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3253},
  pages =               {68-83},
  year =                {2004},
  month =               sep,
  doi =                 {10.1007/978-3-540-30206-3_7},
}
[DT11] Cătălin Dima et Ferucio Laurenţiu Ţiplea. Model-checking ATL under Imperfect Information and Perfect Recall Semantics is Undecidable. Research Report 1102.4225, arXiv, février 2011.
@techreport{arxiv11-DT,
  author =              {Dima, C{\u a}t{\u a}lin and {\c T}iplea, Ferucio
                         Lauren{\c t}iu},
  title =               {Model-checking {ATL} under Imperfect Information and
                         Perfect Recall Semantics is Undecidable},
  number =              {1102.4225},
  year =                {2011},
  month =               feb,
  institution =         {arXiv},
  type =                {Research Report},
}
[Duf03] Marie Duflot. Algorithmes distribués sur des anneaux paramétrés : preuves de convergence probabiliste et déterministe. Thèse de doctorat, Lab. Spécification & Vérification, ENS Cachan, France, Septembre 2003.
@phdthesis{phd-duflot,
  author =              {Duflot, Marie},
  title =               {Algorithmes distribu{\'e}s sur des anneaux
                         param{\'e}tr{\'e}s : preuves de convergence
                         probabiliste et d{\'e}terministe},
  year =                {2003},
  month =               sep,
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {Th\`ese de doctorat},
}
[DV13] Giuseppe De Giacomo et Moshe Y. Vardi. Linear Temporal Logic and Linear Dynamic Logic on Finite Traces. In IJCAI'13, pages 854-860. IJCAI organization, août 2013.
@inproceedings{ijcai2013-DGV,
  author =              {De{~}Giacomo, Giuseppe and Vardi, Moshe Y.},
  title =               {Linear Temporal Logic and Linear Dynamic Logic on
                         Finite Traces},
  editor =              {Rossi, Francesca},
  booktitle =           {{P}roceedings of the 23rd {I}nternational {J}oint
                         {C}onference on {A}rtificial {I}ntelligence
                         ({IJCAI}'13)},
  acronym =             {{IJCAI}'13},
  publisher =           {IJCAI organization},
  pages =               {854-860},
  year =                {2013},
  month =               aug,
}
[DW99] Martin Dickhöfer et Thomas Wilke. Timed Alternating Tree Automata: The Automata Theoretic Solution to the TCTL Model Checking Problem. In ICALP'99, Lecture Notes in Computer Science 1644, pages 281-290. Springer-Verlag, juillet 1999.
@inproceedings{icalp1999-DW,
  author =              {Dickh{\"o}fer, Martin and Wilke, Thomas},
  title =               {Timed Alternating Tree Automata: The Automata
                         Theoretic Solution to the {TCTL} Model Checking
                         Problem},
  editor =              {Wiedermann, Jir{\'\i} and van Emde Boas, Peter and
                         Nielsen, Mogens},
  booktitle =           {{P}roceedings of the 26th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'99)},
  acronym =             {{ICALP}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1644},
  pages =               {281-290},
  year =                {1999},
  month =               jul,
}
[DY95] Conrado Daws et Sergio Yovine. Two examples of verification of multirate timed automata with Kronos. In RTSS'95, pages 66-75. IEEE Comp. Soc. Press, décembre 1995.
@inproceedings{rtss1995-DY,
  author =              {Daws, Conrado and Yovine, Sergio},
  title =               {Two examples of verification of multirate timed
                         automata with {K}ronos},
  booktitle =           {{P}roceedings of the 16th {S}ymposium on {R}eal-Time
                         {S}ystems ({RTSS}'95)},
  acronym =             {{RTSS}'95},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {66-75},
  year =                {1995},
  month =               dec,
}
E
[vEB97] Peter van Emde Boas. The convenience of tiling. In Andrea Sorbi (eds.), Complexity, Logic and Recursion Theory, Lecture Notes in Pure and Applied Mathematics 187, pages 331-363. Marcel Dekker Inc., février 1997.
@incollection{lnpam187-Emd,
  author =              {van Emde Boas, Peter},
  title =               {The convenience of tiling},
  editor =              {Sorbi, Andrea},
  booktitle =           {Complexity, Logic and Recursion Theory},
  publisher =           {Marcel Dekker Inc.},
  series =              {Lecture Notes in Pure and Applied Mathematics},
  volume =              {187},
  pages =               {331-363},
  year =                {1997},
  month =               feb,
}
[EC80] E. Allen Emerson et Edmund M. Clarke. Characterizing Correctness Properties of Parallel Programs Using Fixpoints. In ICALP'80, Lecture Notes in Computer Science 85, pages 169-181. Springer-Verlag, juillet 1980.
@inproceedings{icalp1980-EC,
  author =              {Emerson, E. Allen and Clarke, Edmund M.},
  title =               {Characterizing Correctness Properties of Parallel
                         Programs Using Fixpoints},
  editor =              {de~Bakker, Jaco W. and van Leeuwen, Jan},
  booktitle =           {{P}roceedings of the 7th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'80)},
  acronym =             {{ICALP}'80},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {85},
  pages =               {169-181},
  year =                {1980},
  month =               jul,
}
[EC82] E. Allen Emerson et Edmund M. Clarke. Using Branching Time Temporal Logic to Synthesize Synchronization Skeletons. Science of Computer Programming 2(3):241-266. North-Holland, décembre 1982.
@article{scp2(3)-EC,
  author =              {Emerson, E. Allen and Clarke, Edmund M.},
  title =               {Using Branching Time Temporal Logic to Synthesize
                         Synchronization Skeletons},
  publisher =           {North-Holland},
  journal =             {Science of Computer Programming},
  volume =              {2},
  number =              {3},
  pages =               {241-266},
  year =                {1982},
  month =               dec,
}
[EF95] Heinz-Dieter Ebbinghaus et Jörg Flum. Finite Model Theory. Springer-Verlag, 1995.
@book{fmt1999-EF,
  author =              {Ebbinghaus, Heinz-Dieter and Flum, J{\"o}rg},
  title =               {Finite Model Theory},
  publisher =           {Springer-Verlag},
  year =                {1995},
}
[EF13] Daniel Ejsing-Dunn et Lisa Fontani. Infinite Runs in Recharge Automata. Master's thesis, Computer Science Department, Aalborg University, Denmark, Juin 2013.
@mastersthesis{master13-EF,
  author =              {Ejsing{-}Dunn, Daniel and Fontani, Lisa},
  title =               {Infinite Runs in Recharge Automata},
  year =                {2013},
  month =               jun,
  school =              {Computer Science Department, Aalborg University,
                         Denmark},
}
[EFG+10] Rüdiger Ehlers, Daniel Fass, Michael Gerke et Hans-Jörg Peter. Fully Symbolic Timed Model Checking Using Constraint Matrix Diagrams. In RTSS'10, pages 360-371. IEEE Comp. Soc. Press, novembre 2010.
@inproceedings{rtss2010-EFGP,
  author =              {Ehlers, R{\"u}diger and Fass, Daniel and Gerke,
                         Michael and Peter, Hans-J{\"o}rg},
  title =               {Fully Symbolic Timed Model Checking Using Constraint
                         Matrix Diagrams},
  booktitle =           {{P}roceedings of the 31st {IEEE} {S}ymposium on
                         {R}eal-Time {S}ystems ({RTSS}'10)},
  acronym =             {{RTSS}'10},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {360-371},
  year =                {2010},
  month =               nov,
  doi =                 {10.1109/RTSS.2010.36},
}
[EFM99] Javier Esparza, Alain Finkel et Richard Mayr. On the verification of broadcast protocols. In LICS'99, pages 352-359. IEEE Comp. Soc. Press, juillet 1999.
@inproceedings{lics1999-EFM,
  author =              {Esparza, Javier and Finkel, Alain and Mayr, Richard},
  title =               {On the verification of broadcast protocols},
  booktitle =           {{P}roceedings of the 14th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'99)},
  acronym =             {{LICS}'99},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {352-359},
  year =                {1999},
  month =               jul,
  doi =                 {10.1109/LICS.1999.782630},
}
[EGL+15] Javier Esparza, Pierre Ganty, Jérôme Leroux et Rupak Majumdar. Verification of Population Protocols. In CONCUR'15, Leibniz International Proceedings in Informatics 42, pages 470-482. Leibniz-Zentrum für Informatik, septembre 2015.
@inproceedings{concur2015-EGLM,
  author =              {Esparza, Javier and Ganty, Pierre and Leroux,
                         J{\'e}r{\^o}me and Majumdar, Rupak},
  title =               {Verification of Population Protocols},
  editor =              {Aceto, Luca and de Frutos{-}Escrig, David},
  booktitle =           {{P}roceedings of the 26th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'15)},
  acronym =             {{CONCUR}'15},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {42},
  pages =               {470-482},
  year =                {2015},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CONCUR.2015.470},
}
[EGL+16] Javier Esparza, Pierre Ganty, Jérôme Leroux et Rupak Majumdar. Model checking Population Protocols. In FSTTCS'16, Leibniz International Proceedings in Informatics, pages 27:1-27:14. Leibniz-Zentrum für Informatik, décembre 2016.
@inproceedings{fsttcs2016-EGLM,
  author =              {Esparza, Javier and Ganty, Pierre and Leroux,
                         J{\'e}r{\^o}me and Majumdar, Rupak},
  title =               {Model checking Population Protocols},
  editor =              {Akshay, S. and Lal, Akash and Saurabh, Saket and
                         Sen, Sandeep},
  booktitle =           {{P}roceedings of the 36th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'16)},
  acronym =             {{FSTTCS}'16},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  pages =               {27:1-27:14},
  year =                {2016},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2016.27},
}
[EGL+17] Javier Esparza, Pierre Ganty, Jérôme Leroux et Rupak Majumdar. Verification of Population Protocols. Acta Informatica 54(2):191-215. Springer-Verlag, mars 2017.
@article{atca54(2)-EGLM,
  author =              {Esparza, Javier and Ganty, Pierre and Leroux,
                         J{\'e}r{\^o}me and Majumdar, Rupak},
  title =               {Verification of Population Protocols},
  publisher =           {Springer-Verlag},
  journal =             {Acta Informatica},
  volume =              {54},
  number =              {2},
  pages =               {191-215},
  year =                {2017},
  month =               mar,
  doi =                 {10.1007/s00236-016-0272-3},
}
[EGM13] Javier Esparza, Pierre Ganty et Rupak Majumdar. Parameterized verification of asynchronous shared-memory systems. In CAV'13, Lecture Notes in Computer Science 8044, pages 124-140. Springer-Verlag, juillet 2013.
@inproceedings{cav2013-EGM,
  author =              {Esparza, Javier and Ganty, Pierre and Majumdar,
                         Rupak},
  title =               {Parameterized verification of asynchronous
                         shared-memory systems},
  editor =              {Sharygina, Natasha and Veith, Helmut},
  booktitle =           {{P}roceedings of the 25th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'13)},
  acronym =             {{CAV}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8044},
  pages =               {124-140},
  year =                {2013},
  month =               jul,
  doi =                 {10.1007/978-3-642-39799-8_8},
}
[EH83] E. Allen Emerson et Joseph Y. Halpern. "Sometimes" and "Not Never" Revisited: On Branching versus Linear Time. In POPL'83, pages 127-140. ACM Press, janvier 1983.
@inproceedings{popl1983-EH,
  author =              {Emerson, E. Allen and Halpern, Joseph Y.},
  title =               {{"}{S}ometimes{"} and {"}Not Never{"} Revisited:
                         On~Branching versus Linear Time},
  booktitle =           {Conference Record of the 10th {ACM} {S}ymposium on
                         {P}rinciples of {P}rogramming {L}anguages
                         ({POPL}'83)},
  acronym =             {{POPL}'83},
  publisher =           {ACM Press},
  pages =               {127-140},
  year =                {1983},
  month =               jan,
}
[EH85] E. Allen Emerson et Joseph Y. Halpern. Decision Procedures and Expressiveness in the Temporal Logic of Branching Time. Journal of Computer and System Sciences 30(1):1-24. Academic Press, février 1985.
@article{jcss30(1)-EH,
  author =              {Emerson, E. Allen and Halpern, Joseph Y.},
  title =               {Decision Procedures and Expressiveness in the
                         Temporal Logic of Branching Time},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
  volume =              {30},
  number =              {1},
  pages =               {1-24},
  year =                {1985},
  month =               feb,
}
[EH86] E. Allen Emerson et Joseph Y. Halpern. "Sometimes" and "Not Never" Revisited: On Branching versus Linear Time Temporal Logic. Journal of the ACM 33(1):151-178. ACM Press, janvier 1986.
@article{jacm33(1)-EH,
  author =              {Emerson, E. Allen and Halpern, Joseph Y.},
  title =               {{"}{S}ometimes{"} and {"}Not Never{"} Revisited:
                         On~Branching versus Linear Time Temporal Logic},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {33},
  number =              {1},
  pages =               {151-178},
  year =                {1986},
  month =               jan,
}
[Ehl13] Rüdiger Ehlers. Symmetric and Efficient Synthesis. PhD thesis, Saarland University, Germany, Octobre 2013.
@phdthesis{phd-ehlers,
  author =              {Ehlers, R{\"u}diger},
  title =               {Symmetric and Efficient Synthesis},
  year =                {2013},
  month =               oct,
  school =              {Saarland University, Germany},
}
[Ehr61] Andrzej Ehrenfeucht. An Application of Games to the Completeness Problem for Formalized Theories. Fundamenta Mathematicae 49:129-141. Institute of Mathematics, Polish Academy of Science, 1961.
@article{fundm49-Ehr,
  author =              {Ehrenfeucht, Andrzej},
  title =               {An Application of Games to the Completeness Problem
                         for Formalized Theories},
  publisher =           {Institute of Mathematics, Polish Academy of Science},
  journal =             {Fundamenta Mathematicae},
  volume =              {49},
  pages =               {129-141},
  year =                {1961},
}
[EJ88] E. Allen Emerson et Charanjit S. Jutla. The Complexity of Tree Automata and Logics of Programs. In FOCS'88, pages 328-337. IEEE Comp. Soc. Press, octobre 1988.
@inproceedings{focs1988-EJ,
  author =              {Emerson, E. Allen and Jutla, Charanjit S.},
  title =               {The Complexity of Tree Automata and Logics of
                         Programs},
  booktitle =           {{P}roceedings of the 29th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'88)},
  acronym =             {{FOCS}'88},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {328-337},
  year =                {1988},
  month =               oct,
}
[EJ91] E. Allen Emerson et Charanjit S. Jutla. Tree Automata, Mu-Calculus and Determinacy. In FOCS'91, pages 368-377. IEEE Comp. Soc. Press, octobre 1991.
@inproceedings{focs1991-EJ,
  author =              {Emerson, E. Allen and Jutla, Charanjit S.},
  title =               {Tree Automata, Mu-Calculus and Determinacy},
  booktitle =           {{P}roceedings of the 32nd {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'91)},
  acronym =             {{FOCS}'91},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {368-377},
  year =                {1991},
  month =               oct,
  doi =                 {10.1109/SFCS.1991.185392},
}
[EJ99] E. Allen Emerson et Charanjit S. Jutla. The Complexity of Tree Automata and Logics of Programs. SIAM Journal on Computing 29(1):132-158. Society for Industrial and Applied Math., septembre 1999.
@article{siamcomp29(1)-EJ,
  author =              {Emerson, E. Allen and Jutla, Charanjit S.},
  title =               {The Complexity of Tree Automata and Logics of
                         Programs},
  publisher =           {Society for Industrial and Applied Math.},
  journal =             {SIAM Journal on Computing},
  volume =              {29},
  number =              {1},
  pages =               {132-158},
  year =                {1999},
  month =               sep,
}
[EJS01] E. Allen Emerson, Charanjit S. Jutla et A. Prasad Sistla. On model checking for the Mu-calculus and its fragments. Theoretical Computer Science 258(1-2):491-522. Elsevier, mai 2001.
@article{tcs258(1-2)-EJS,
  author =              {Emerson, E. Allen and Jutla, Charanjit S. and
                         Sistla, A. Prasad},
  title =               {On model checking for the Mu-calculus and its
                         fragments},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {258},
  number =              {1-2},
  pages =               {491-522},
  year =                {2001},
  month =               may,
}
[EJT10] Michael Elberfeld, Andreas Jakoby et Till Tantau. Logspace Versions of the Theorems of Bodlaender and Courcelle. In FOCS'10, pages 143-152. IEEE Comp. Soc. Press, octobre 2010.
@inproceedings{focs2010-EJT,
  author =              {Elberfeld, Michael and Jakoby, Andreas and Tantau,
                         Till},
  title =               {Logspace Versions of the Theorems of {B}odlaender
                         and {C}ourcelle},
  booktitle =           {{P}roceedings of the 51st {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'10)},
  acronym =             {{FOCS}'10},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {143-152},
  year =                {2010},
  month =               oct,
  doi =                 {10.1109/FOCS.2010.21},
}
[EK00] E. Allen Emerson et Vineet Kahlon. Reducing Model Checking of the Many to the Few. In CADE'00, Lecture Notes in Artificial Intelligence 1831, pages 236-254. Springer-Verlag, juin 2000.
@inproceedings{cade2000-EK,
  author =              {Emerson, E. Allen and Kahlon, Vineet},
  title =               {Reducing Model Checking of the Many to the~Few},
  editor =              {McAllester, David},
  booktitle =           {{P}roceedings of the 17th {I}nternational
                         {C}onference on {A}utomated {D}eduction ({CADE}'00)},
  acronym =             {{CADE}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Artificial Intelligence},
  volume =              {1831},
  pages =               {236-254},
  year =                {2000},
  month =               jun,
  doi =                 {10.1007/10721959_19},
}
[EL86] E. Allen Emerson et Chin-Laung Lei. Efficient Model Checking in Fragments of the Propositional Mu-Calculus. In LICS'86, pages 267-278. IEEE Comp. Soc. Press, juin 1986.
@inproceedings{lics1986-EL,
  author =              {Emerson, E. Allen and Lei, Chin-Laung},
  title =               {Efficient Model Checking in Fragments of the
                         Propositional Mu-Calculus},
  booktitle =           {{P}roceedings of the 1st {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'86)},
  acronym =             {{LICS}'86},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {267-278},
  year =                {1986},
  month =               jun,
}
[EL87] E. Allen Emerson et Chin-Laung Lei. Modalities for Model Checking: Branching Time Logic Strikes Back. Science of Computer Programming 8(3):275-306. Elsevier, juin 1987.
@article{scp8(3)-EL,
  author =              {Emerson, E. Allen and Lei, Chin-Laung},
  title =               {Modalities for Model Checking: Branching Time Logic
                         Strikes Back},
  publisher =           {Elsevier},
  journal =             {Science of Computer Programming},
  volume =              {8},
  number =              {3},
  pages =               {275-306},
  year =                {1987},
  month =               jun,
}
[Elg61] Calvin C. Elgot. Decision problems of finite automata design and related arithmetics. Transactions of the American Mathematical Society 98(1):21-51. American Mathematical Society, janvier 1961.
@article{TAMS98(1)-Elg,
  author =              {Elgot, Calvin C.},
  title =               {Decision problems of finite automata design and
                         related arithmetics},
  publisher =           {American Mathematical Society},
  journal =             {Transactions of the American Mathematical Society},
  volume =              {98},
  number =              {1},
  pages =               {21-51},
  year =                {1961},
  month =               jan,
  doi =                 {10.2307/1993511},
}
[EM79] Andrzej Ehrenfeucht et Jan Mycielski. Positional strategies for mean payoff games. International Journal of Game Theory 8(2):109-113. Springer-Verlag, juin 1979.
@article{ijgt49-EM,
  author =              {Ehrenfeucht, Andrzej and Mycielski, Jan},
  title =               {Positional strategies for mean payoff games},
  publisher =           {Springer-Verlag},
  journal =             {International Journal of Game Theory},
  volume =              {8},
  number =              {2},
  pages =               {109-113},
  year =                {1979},
  month =               jun,
  doi =                 {10.1007/BF01768705},
}
[Eme90] E. Allen Emerson. Temporal and Modal Logic. In Jan van Leeuwen (eds.), Handbook of Theoretical Computer Science. Elsevier, 1990.
@incollection{HTCSb1990-Eme,
  author =              {Emerson, E. Allen},
  title =               {Temporal and Modal Logic},
  editor =              {van Leeuwen, Jan},
  booktitle =           {Handbook of Theoretical Computer Science},
  publisher =           {Elsevier},
  volume =              {B},
  pages =               {995-1072},
  chapter =             {16},
  year =                {1990},
}
[Eme96] E. Allen Emerson. Automated Temporal Reasoning about Reactive Systems. In Banff'94, Lecture Notes in Computer Science 1043, pages 41-101. Springer-Verlag, 1996.
@inproceedings{banff1994-Eme,
  author =              {Emerson, E. Allen},
  title =               {Automated Temporal Reasoning about Reactive Systems},
  editor =              {Moller, Faron and Birtwistle, Graham M.},
  booktitle =           {{L}ogics for {C}oncurrency, {S}tructure versus
                         {A}utomata: {P}roceedings of the 8th {B}anff
                         {H}igher {O}rder {W}orkshop ({B}anff'94)},
  acronym =             {{B}anff'94},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1043},
  pages =               {41-101},
  year =                {1996},
  confyear =            {1994},
  confmonth =           {8-9},
}
[Eme96] E. Allen Emerson. Model Checking and the Mu-calculus. In Neil Immerman et Phokion G. Kolaitis (eds.), Descriptive Complexity and Finite Models, DIMACS Series in Discrete Mathematics and Theoretical Computer Science 31, pages 185-214. American Mathematical Society, 1996.
@incollection{dimacs31-Eme,
  author =              {Emerson, E. Allen},
  title =               {Model Checking and the Mu-calculus},
  editor =              {Immerman, Neil and Kolaitis, Phokion G.},
  booktitle =           {Descriptive Complexity and Finite Models},
  publisher =           {American Mathematical Society},
  series =              {DIMACS Series in Discrete Mathematics and
                         Theoretical Computer Science},
  volume =              {31},
  pages =               {185-214},
  year =                {1996},
}
[EMP10] Rüdiger Ehlers, Robert Mattmüller et Hans-Jörg Peter. Combining Symbolic Representations for Solving Timed Games. In FORMATS'10, Lecture Notes in Computer Science 6246, pages 107-212. Springer-Verlag, septembre 2010.
@inproceedings{formats2010-EMP,
  author =              {Ehlers, R{\"u}diger and Mattm{\"u}ller, Robert and
                         Peter, Hans-J{\"o}rg},
  title =               {Combining Symbolic Representations for Solving Timed
                         Games},
  editor =              {Chatterjee, Krishnendu and Henzinger, Thomas A.},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'10)},
  acronym =             {{FORMATS}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6246},
  pages =               {107-212},
  year =                {2010},
  month =               sep,
  doi =                 {10.1007/978-3-642-15297-9_10},
}
[EMS+92] E. Allen Emerson, Aloysius Ka-Lau Mok, A. Prasad Sistla et Jayashankar Srinivasan. Quantitative Temporal Reasoning. Real-Time Systems 4:331-352. Kluwer Academic, 1992.
@article{rts4()-EMSS,
  author =              {Emerson, E. Allen and Mok, Aloysius Ka-Lau and
                         Sistla, A. Prasad and Srinivasan, Jayashankar},
  title =               {Quantitative Temporal Reasoning},
  publisher =           {Kluwer Academic},
  journal =             {Real-Time Systems},
  volume =              {4},
  pages =               {331-352},
  year =                {1992},
}
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@article{EN94,
  author =              {Esparza, Javier and Nielsen, Mogens},
  title =               {Decidability Issues for {P}etri Nets~-- A~survey},
  publisher =           {EATCS},
  journal =             {EATCS Bulletin},
  volume =              {52},
  pages =               {244-262},
  year =                {1994},
  month =               feb,
}
[EN03] E. Allen Emerson et Kedar Namjoshi. On Reasoning About Rings. International Journal of Foundations of Computer Science 14(4):527-550. Août 2003.
@article{ijfcs14(4)-EN,
  author =              {Emerson, E. Allen and Namjoshi, Kedar},
  title =               {On~Reasoning About Rings},
  journal =             {International Journal of Foundations of Computer
                         Science},
  volume =              {14},
  number =              {4},
  pages =               {527-550},
  year =                {2003},
  month =               aug,
  doi =                 {10.1142/S0129054103001881},
}
[END+02] Abdeslam En-Nouaary, Radhida Dssouli et Ferhat Khendek. Timed Wp-Method: Testing Real-Time Systems. IEEE Transactions on Software Engineering 28(11):1023-1038. IEEE Comp. Soc. Press, novembre 2002.
@article{tse28(11)-EDK,
  author =              {En-Nouaary, Abdeslam and Dssouli, Radhida and
                         Khendek, Ferhat},
  title =               {Timed Wp-Method: Testing Real-Time Systems},
  publisher =           {IEEE Comp. Soc. Press},
  journal =             {IEEE Transactions on Software Engineering},
  volume =              {28},
  number =              {11},
  pages =               {1023-1038},
  year =                {2002},
  month =               nov,
  doi =                 {10.1109/TSE.2002.1049402},
}
[ER09] Andrzej Ehrenfeucht et Grzegorz Rozenberg. Introducing Time in Reaction Systems. Theoretical Computer Science 410(4-5). Elsevier, février 2009.
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  author =              {Ehrenfeucht, Andrzej and Rozenberg, Grzegorz},
  title =               {Introducing Time in Reaction Systems},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {410},
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}
[ES84] E. Allen Emerson et A. Prasad Sistla. Deciding Full Branching Time Logic. Information and Control 61(3):175-201. Academic Press, juin 1984.
@article{icont61(3)-ES,
  author =              {Emerson, E. Allen and Sistla, A. Prasad},
  title =               {Deciding Full Branching Time Logic},
  publisher =           {Academic Press},
  journal =             {Information and Control},
  volume =              {61},
  number =              {3},
  pages =               {175-201},
  year =                {1984},
  month =               jun,
}
[ES84] E. Allen Emerson et A. Prasad Sistla. Deciding Full Branching Time Logic: A Triple Exponential Decision Procedure for CTL*. In LOP'83, Lecture Notes in Computer Science 164, pages 176-192. Springer-Verlag, 1984.
@inproceedings{lop1983-ES,
  author =              {Emerson, E. Allen and Sistla, A. Prasad},
  title =               {Deciding Full Branching Time Logic: A Triple
                         Exponential Decision Procedure for CTL{\(^*\)}},
  editor =              {Clarke, Edmund M. and Kozen, Dexter C.},
  booktitle =           {{P}roceedings of the 4th {W}orkshop on {L}ogics of
                         {P}rograms ({LOP}'83)},
  acronym =             {{LOP}'83},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {164},
  pages =               {176-192},
  year =                {1984},
  confyear =            {1983},
  confmonth =           {6},
}
[ES84] E. Allen Emerson et A. Prasad Sistla. Deciding Branching Time Logic. In STOC'84, pages 14-24. ACM Press, avril 1984.
@inproceedings{stoc1984-ES,
  author =              {Emerson, E. Allen and Sistla, A. Prasad},
  title =               {Deciding Branching Time Logic},
  booktitle =           {{P}roceedings of the 16th {A}nnual {ACM} {S}ymposium
                         on the {T}heory of {C}omputing ({STOC}'84)},
  acronym =             {{STOC}'84},
  publisher =           {ACM Press},
  pages =               {14-24},
  year =                {1984},
  month =               apr,
}
[ES88] E. Allen Emerson et Jayashankar Srinivasan. Branching Time Temporal Logic. In REX'88, Lecture Notes in Computer Science 354, pages 123-172. Springer-Verlag, mai 1988.
@inproceedings{rex1988-ES,
  author =              {Emerson, E. Allen and Srinivasan, Jayashankar},
  title =               {Branching Time Temporal Logic},
  editor =              {de~Bakker, Jaco W. and de Roever, Willem-Paul and
                         Rozenberg, Grzegorz},
  booktitle =           {{L}inear {T}ime, {B}ranching {T}ime and {P}artial
                         {O}rder in {L}ogics and {M}odels for
                         {C}oncurrency~--- {P}roceedings of {REX}
                         {S}chool{\slash}{W}orkshop~1988 ({REX}'88)},
  acronym =             {{REX}'88},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {354},
  pages =               {123-172},
  year =                {1988},
  month =               may,
}
[ES96] E. Allen Emerson et A. Prasad Sistla. Symmetry and model checking. Formal Methods in System Design 9(1-2):105-131. Kluwer Academic, août 1996.
@article{fmsd9(1-2)-ES,
  author =              {Emerson, E. Allen and Sistla, A. Prasad},
  title =               {Symmetry and model checking},
  publisher =           {Kluwer Academic},
  journal =             {Formal Methods in System Design},
  volume =              {9},
  number =              {1-2},
  pages =               {105-131},
  year =                {1996},
  month =               aug,
  doi =                 {10.1007/BF00625970},
}
[Esp98] Javier Esparza. Decidability and Complexity of Petri Net Problems: An Introduction. In Lectures on Petri Nets I: Basic Models, Advances in Petri Nets, Lecture Notes in Computer Science 1491, pages 374-428. Springer-Verlag, 1998.
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  author =              {Esparza, Javier},
  title =               {Decidability and Complexity of {P}etri Net Problems:
                         An Introduction},
  editor =              {Reisig, Wolfgang and Rozenberg, Grzegorz},
  booktitle =           {Lectures on {P}etri Nets~{I}: Basic Models, Advances
                         in {P}etri Nets},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1491},
  pages =               {374-428},
  year =                {1998},
  confyear =            {1996},
  confmonth =           {9},
}
[Esp14] Javier Esparza. Keeping a Crowd Safe: On the Complexity of Parameterized Verification (Invited Talk). In STACS'14, Leibniz International Proceedings in Informatics 25, pages 1-10. Leibniz-Zentrum für Informatik, mars 2014.
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  title =               {Keeping a Crowd Safe: On the Complexity of
                         Parameterized Verification (Invited Talk)},
  editor =              {Mayr, Ernst W. and Portier, Natacha},
  booktitle =           {{P}roceedings of the 31st {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'14)},
  acronym =             {{STACS}'14},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {25},
  pages =               {1-10},
  year =                {2014},
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  doi =                 {10.4230/LIPIcs.STACS.2014.1},
}
[ESY84] Shimon Even, Alan L. Selman et Yacov Yacobi. The complexity of promise problems with applications to public-key cryptography. Information and Control 61(2):159-173. Academic Press, mai 1984.
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  author =              {Even, Shimon and Selman, Alan L. and Yacobi, Yacov},
  title =               {The complexity of promise problems with applications
                         to public-key cryptography},
  publisher =           {Academic Press},
  journal =             {Information and Control},
  volume =              {61},
  number =              {2},
  pages =               {159-173},
  year =                {1984},
  month =               may,
  doi =                 {10.1016/S0019-9958(84)80056-X},
}
[ET96] E. Allen Emerson et Richard J. Trefler. Generalized Quantitative Temporal Reasoning. Technical Report 96-20, Department of Computer Science, University of Texas at Austin, USA, 1996.
@techreport{TR-96-20-ET,
  author =              {Emerson, E. Allen and Trefler, Richard J.},
  title =               {Generalized Quantitative Temporal Reasoning},
  number =              {96-20},
  year =                {1996},
  institution =         {Department of Computer Science, University of Texas
                         at Austin, USA},
  type =                {Technical Report},
}
[ET97] E. Allen Emerson et Richard J. Trefler. Generalized Quantitative Temporal Reasoning. In TAPSOFT'97, Lecture Notes in Computer Science 1214, pages 189-200. Springer-Verlag, avril 1997.
@inproceedings{tapsoft1997-ET,
  author =              {Emerson, E. Allen and Trefler, Richard J.},
  title =               {Generalized Quantitative Temporal Reasoning},
  editor =              {Bidoit, Michel and Dauchet, Max},
  booktitle =           {{P}roceedings of the 7th {I}nternational {J}oint
                         {C}onference {CAAP}{\slash}{FASE} on {T}heory and
                         {P}ractice of {S}oftware {D}evelopment
                         ({TAPSOFT}'97)},
  acronym =             {{TAPSOFT}'97},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1214},
  pages =               {189-200},
  year =                {1997},
  month =               apr,
}
[ET99] E. Allen Emerson et Richard J. Trefler. Parametric Quantitative Temporal Reasoning. In LICS'99, pages 336-343. IEEE Comp. Soc. Press, juillet 1999.
@inproceedings{lics1999-ET,
  author =              {Emerson, E. Allen and Trefler, Richard J.},
  title =               {Parametric Quantitative Temporal Reasoning},
  booktitle =           {{P}roceedings of the 14th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'99)},
  acronym =             {{LICS}'99},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {336-343},
  year =                {1999},
  month =               jul,
}
[Ete99] Kousha Etessami. Stutter-Invariant Languages, ω-Automata, and Temporal Logic. In CAV'99, Lecture Notes in Computer Science 1633, pages 236-248. Springer-Verlag, juillet 1999.
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  author =              {Etessami, Kousha},
  title =               {Stutter-Invariant Languages, {\(\omega\)}-Automata,
                         and Temporal Logic},
  editor =              {Halbwachs, Nicolas and Peled, Doron A.},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'99)},
  acronym =             {{CAV}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1633},
  pages =               {236-248},
  year =                {1999},
  month =               jul,
}
[Ete00] Kousha Etessami. A Note on a Question of Peled and Wilke Regarding Stutter-Invariant LTL. Information Processing Letters 75(6):261-263. Elsevier, novembre 2000.
@article{ipl75(6)-Ete,
  author =              {Etessami, Kousha},
  title =               {A Note on a Question of {P}eled and {W}ilke
                         Regarding Stutter-Invariant {LTL}},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {75},
  number =              {6},
  pages =               {261-263},
  year =                {2000},
  month =               nov,
}
[Ete02] Kousha Etessami. A Hierarchy of Polynomial-Time Computable Simulations for Automata. In CONCUR'02, Lecture Notes in Computer Science 2421, pages 131-144. Springer-Verlag, août 2002.
@inproceedings{concur2002-Ete,
  author =              {Etessami, Kousha},
  title =               {A Hierarchy of Polynomial-Time Computable
                         Simulations for Automata},
  editor =              {Brim, Lubo{\v s} and Jan{\v c}ar, Petr and K{\v
                         r}et{\'\i}nsk{\'y}, Mojm{\'\i}r and Ku{\v c}era,
                         Anton{\'\i}n},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'02)},
  acronym =             {{CONCUR}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2421},
  pages =               {131-144},
  year =                {2002},
  month =               aug,
}
[EVW97] Kousha Etessami, Moshe Y. Vardi et Thomas Wilke. First-Order Logic with Two Variables and Unary Temporal Logic. In LICS'97, pages 228-235. IEEE Comp. Soc. Press, juin 1997.
@inproceedings{lics1997-EVW,
  author =              {Etessami, Kousha and Vardi, Moshe Y. and Wilke,
                         Thomas},
  title =               {First-Order Logic with Two Variables and Unary
                         Temporal Logic},
  booktitle =           {{P}roceedings of the 12th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'97)},
  acronym =             {{LICS}'97},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {228-235},
  year =                {1997},
  month =               jun,
}
[EVW02] Kousha Etessami, Moshe Y. Vardi et Thomas Wilke. First-Order Logic with Two Variables and Unary Temporal Logic. Information and Computation 179(2):279-295. Academic Press, décembre 2002.
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  author =              {Etessami, Kousha and Vardi, Moshe Y. and Wilke,
                         Thomas},
  title =               {First-Order Logic with Two Variables and Unary
                         Temporal Logic},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {179},
  number =              {2},
  pages =               {279-295},
  year =                {2002},
  month =               dec,
}
[EW96] Kousha Etessami et Thomas Wilke. An Until Hierarchy for Temporal Logic. In LICS'96, pages 108-117. IEEE Comp. Soc. Press, juillet 1996.
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  author =              {Etessami, Kousha and Wilke, Thomas},
  title =               {An Until Hierarchy for Temporal Logic},
  booktitle =           {{P}roceedings of the 11th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'96)},
  acronym =             {{LICS}'96},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {108-117},
  year =                {1996},
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}
[EW00] Kousha Etessami et Thomas Wilke. An Until Hierarchy and Other Applications of an Ehrenfeucht-Fraïssé Game for Temporal Logic. Information and Computation 160(1-2):88-108. Academic Press, juillet 2000.
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  author =              {Etessami, Kousha and Wilke, Thomas},
  title =               {An Until Hierarchy and Other Applications of an
                         Ehrenfeucht-Fra{\"i}ss{\'e} Game for Temporal Logic},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {160},
  number =              {1-2},
  pages =               {88-108},
  year =                {2000},
  month =               jul,
}
[EY05] Kousha Etessami et Mihalis Yannakakis. Recursive Markov Decision Processes and Recursive Stochastic Games. In ICALP'05, Lecture Notes in Computer Science 3580, pages 891-903. Springer-Verlag, juillet 2005.
@inproceedings{icalp2005-EY,
  author =              {Etessami, Kousha and Yannakakis, Mihalis},
  title =               {Recursive {M}arkov Decision Processes and Recursive
                         Stochastic Games},
  editor =              {Caires, Lu{\'\i}s and Italiano, Giuseppe F. and
                         Monteiro, Lu{\'\i}s and Palamidessi, Catuscia and
                         Yung, Moti},
  booktitle =           {{P}roceedings of the 32nd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'05)},
  acronym =             {{ICALP}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3580},
  pages =               {891-903},
  year =                {2005},
  month =               jul,
}
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@inproceedings{focs2007-EY,
  author =              {Etessami, Kousha and Yannakakis, Mihalis},
  title =               {On the Complexity of {N}ash Equilibria and Other
                         Fixed Points (Extended Abstract)},
  booktitle =           {{P}roceedings of the 48th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'07)},
  acronym =             {{FOCS}'07},
  publisher =           {IEEE Comp. Soc. Press},
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  year =                {2007},
  month =               oct,
}
F
[Far02] Berndt Farwer. ω-automata. In Erich Grädel, Wolfgang Thomas et Thomas Wilke (eds.), Automata, Logics, and Infinite Games, Lecture Notes in Computer Science 2500, pages 3-21. Springer-Verlag, 2002.
@incollection{lncs2500-Far,
  author =              {Farwer, Berndt},
  title =               {{{\(\omega\)}}-automata},
  editor =              {Gr{\"a}del, Erich and Thomas, Wolfgang and Wilke,
                         Thomas},
  booktitle =           {Automata, Logics, and Infinite Games},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2500},
  pages =               {3-21},
  chapter =             {1},
  year =                {2002},
}
[FBB+23] Nathanaël Fijalkow, Nathalie Bertrand, Patricia Bouyer, Romain Brenguier, Arnaud Carayol, John Fearnley, Florian Gimbert, Rasmus Ibsen-Jensen, Nicolas Markey, Benjamin Monmege, Petr Novotný, Mickael Randour, Ocan Sankur, Sylvain Schmitz, Olivier Serre et Mateusz Skomra. Games on graphs. Technical Report 2305.10546, arXiv, mai 2023.
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  author =              {Fijalkow, Nathana{\"e}l and Bertrand, Nathalie and
                         Bouyer, Patricia and Brenguier, Romain and Carayol,
                         Arnaud and Fearnley, John and Gimbert, Hugo an Horn,
                         Florian and Ibsen{-}Jensen, Rasmus and Markey,
                         Nicolas and Monmege, Benjamin and Novotn{\'y}, Petr
                         and Randour, Mickael and Sankur, Ocan and Schmitz,
                         Sylvain and Serre, Olivier and Skomra, Mateusz},
  title =               {Games on graphs},
  number =              {2305.10546},
  year =                {2023},
  month =               may,
  doi =                 {10.48550/arXiv.2305.10546},
  institution =         {arXiv},
}
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  author =              {Fehnker, Ansgar},
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                         {C}onference on {R}eal-{T}ime {C}omputing {S}ystems
                         and {A}pplications ({RTCSA}'99)},
  acronym =             {{RTCSA}'99},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {280-286},
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                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'02)},
  acronym =             {{STACS}'02},
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                         {L}ogic in {C}omputer {S}cience ({LICS}'02)},
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  publisher =           {IEEE Comp. Soc. Press},
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  year =                {2002},
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[FGH+19] Henning Fernau, Vladimir V. Gusev, Stefan Hoffmann, Markus Holzer, Mikhail V. Volkov et Petra Wolf. Computational Complexity of Synchronization under Regular Constraints. In MFCS'19, Leibniz International Proceedings in Informatics 138, pages 63:1-63:14. Leibniz-Zentrum für Informatik, août 2019.
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[FHB06] Márk Félegyházi, Jean-Pierre Hubaux et Levente Buttyán. Nash Equilibria of Packet Forwarding Strategies in Wireless Ad Hoc Networks. IEEE Transactions on Mobile Computing 5(5):463-476. IEEE, mai 2006.
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                         {T}heoretical {A}spects of {R}ationality and
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                         {P}rogramming ({ICALP}'13)~-- Part~{II}},
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                         {C}omputing ({ICTAC}'11)},
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                         suppressing and delaying events},
  publisher =           {Elsevier},
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  year =                {2016},
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}
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                         ({CAV}'09)},
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                         a selfish routing game},
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                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'10)},
  acronym =             {{TACAS}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6015},
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Résumé

Switched systems are a convenient formalism for modeling physical processes interacting with a digital controller. Unfortunately, the formalism does not capture the distributed nature encountered e.g. in cyber-physical systems, which are organized as networks of elements interacting with each other and with local controllers. Most current methods for control synthesis can only produce a centralized controller, which is assumed to have complete knowledge of all the component states and can interact with all of them. In this paper, we consider a controller synthesis method based on state space decomposition, and propose a game-based approach in order to extend it within a distributed framework.

@inproceedings{syncop2015-FKM,
  author =              {Fribourg, Laurent and K{\"u}hne, Ulrich and Markey,
                         Nicolas},
  title =               {Game-based Synthesis of Distributed Controllers for
                         Sampled Switched Systems},
  editor =              {Andr{\'e}, {\'E}tienne and Frehse, Goran},
  booktitle =           {{P}roceedings of the 2nd {I}nternational {W}orkshop
                         on {S}ynthesis of {C}omplex {P}arameters
                         ({S}yn{C}o{P}'15)},
  acronym =             {{S}yn{C}o{P}'15},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {OpenAccess Series in Informatics},
  volume =              {44},
  pages =               {47-61},
  year =                {2016},
  month =               apr,
  doi =                 {10.4230/OASIcs.SynCoP.2015.48},
  abstract =            {Switched systems are a convenient formalism for
                         modeling physical processes interacting with a
                         digital controller. Unfortunately, the formalism
                         does not capture the distributed nature encountered
                         e.g. in cyber-physical systems, which are organized
                         as networks of elements interacting with each other
                         and with local controllers. Most current methods for
                         control synthesis can only produce a centralized
                         controller, which is assumed to have complete
                         knowledge of all the component states and can
                         interact with all of them. In~this paper,
                         we~consider a controller synthesis method based on
                         state space decomposition, and propose a game-based
                         approach in order to extend it within a distributed
                         framework.},
}
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  author =              {Fotakis, Dimitris and Kontogiannis, Spyros and
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}
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}
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                         {A}nalysis ({ATVA}'09)},
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                         {I}nternational {W}orkshops on {V}erification of
                         {I}nfinite-{S}tate {S}ystems {(INFINITY}'06-08)},
  acronym =             {{INFINITY}'06-08},
  publisher =           {Elsevier},
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@article{lmcs9(4)-FLL,
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}
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                         Aniello},
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                         {L}ogic in {C}omputer {S}cience ({LICS}'02)},
  acronym =             {{LICS}'02},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {167-176},
  year =                {2002},
  month =               jul,
}
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@inproceedings{vmcai2002-FLM,
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                         Aniello},
  title =               {Automata-Theoretic Decision of Timed Games},
  editor =              {Cortesi, Agostino},
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                         on {V}erification, {M}odel {C}hecking, and
                         {A}bstract {I}nterpretation ({VMCAI}'02)},
  acronym =             {{VMCAI}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2294},
  pages =               {94-108},
  year =                {2002},
  month =               jan,
}
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                         Jean-Fran{\c c}ois},
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  editor =              {Hlin{\v{e}}n{\'y}, Petr and Ku{\v c}era,
                         Anton{\'\i}n},
  booktitle =           {{P}roceedings of the 35th {I}nternational
                         {S}ymposium on {M}athematical {F}oundations of
                         {C}omputer {S}cience ({MFCS}'10)},
  acronym =             {{MFCS}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6281},
  pages =               {342-354},
  year =                {2010},
  month =               aug,
}
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@inproceedings{qapl2008-FLS,
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                         Mari{\"e}lle},
  title =               {Model Checking Quantitative Linear Time Logic},
  editor =              {Aldini, Alessandro and Baier, {\relax Ch}ristel},
  booktitle =           {{P}roceedings of the 6th {W}orkshop on
                         {Q}uantitative {A}spects of {P}rogramming
                         {L}anguages ({QAPL}'08)},
  acronym =             {{QAPL}'08},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {220},
  number =              {3},
  pages =               {61-77},
  year =                {2008},
  month =               mar,
}
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  author =              {Fahrenberg, Uli and Larsen, Kim Guldstrand and
                         Thrane, Claus},
  title =               {A Quantitative Characterization of Weighted {K}ripke
                         Structures in Temporal Logics},
  editor =              {Hlin{\v{e}}n{\'y}, Petr and Maty{\'a}{\v{s}}, Vashek
                         and Vojnar, Tom{\'a}{\v s}},
  booktitle =           {{P}roceedings of the 5th {A}nnual {D}octoral
                         {W}orkshop on {M}athematical and {E}ngineering
                         {M}ethods in {C}omputer {S}cience ({MEMICS}'09)},
  acronym =             {{MEMICS}'09},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {OpenAccess Series in Informatics},
  volume =              {13},
  year =                {2009},
  month =               sep,
}
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@inproceedings{fsttcs2011-FLT,
  author =              {Fahrenberg, Uli and Legay, Axel and Thrane, Claus},
  title =               {The Quantitative Linear-Time--Branching-Time
                         Spectrum},
  editor =              {Chakraborty, Supratik and Kumar, Amit},
  booktitle =           {{P}roceedings of the 31st {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'11)},
  acronym =             {{FSTTCS}'11},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {13},
  year =                {2011},
  month =               dec,
}
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@inproceedings{csl2011-FLZ,
  author =              {Fridman, Wladimir and L{\"o}ding, Christof and
                         Zimmermann, Martin},
  title =               {Degrees of Lookahead in Context-free Infinite Games},
  editor =              {Bezem, Marc},
  booktitle =           {{P}roceedings of the 25th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'11)},
  acronym =             {{CSL}'11},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {12},
  pages =               {264-276},
  year =                {2011},
  month =               sep,
}
[FM98] Melvin Fitting et Richard L. Mendelsohn. First-Order Modal Logic. Synthese Library 277. Springer-Verlag, 1998.
@book{FOML-FM98,
  author =              {Fitting, Melvin and Mendelsohn, Richard L.},
  title =               {First-Order Modal Logic},
  publisher =           {Springer-Verlag},
  series =              {Synthese Library},
  number =              {277},
  year =                {1998},
}
[FM16] Martin Fränzle et Nicolas Markey (eds.) Proceedings of the 14th International Conferences on Formal Modelling and Analysis of Timed Systems (FORMATS'16). Lecture Notes in Computer Science 9884. Springer-Verlag, août 2016.
@proceedings{formats2016-FM,
  title =               {{P}roceedings of the 14th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'16)},
  editor =              {Fr{\"a}nzle, Martin and Markey, Nicolas},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'16)},
  acronym =             {{FORMATS}'16},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9884},
  year =                {2016},
  month =               aug,
  doi =                 {10.1007/978-3-319-44878-7},
  url =                 {http://link.springer.com/book/10.1007/978-3-319-44878-7},
}
[FMM+18] Nathanaël Fijalkow, Bastien Maubert, Aniello Murano et Sasha Rubin. Quantifying Bounds in Strategy Logic. In CSL'18, Leibniz International Proceedings in Informatics 119, pages 23:1-23:23. Leibniz-Zentrum für Informatik, septembre 2018.
@inproceedings{csl2018-FMMR,
  author =              {Fijalkow, Nathana{\"e}l and Maubert, Bastien and
                         Murano, Aniello and Rubin, Sasha},
  title =               {Quantifying Bounds in Strategy Logic},
  editor =              {Ghica, Dan R. and Jung, Achim},
  booktitle =           {{P}roceedings of the 27th {EACSL} {A}nnual
                         {C}onference on {C}omputer {S}cience {L}ogic
                         ({CSL}'18)},
  acronym =             {{CSL}'18},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {119},
  pages =               {23:1-23:23},
  year =                {2018},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CSL.2018.23},
}
[FMP+03] Elena Fersman, Leonid Mokrushin, Paul Pettersson et Wang Yi. Schedulability Analysis Using Two Clocks. In TACAS'03, Lecture Notes in Computer Science 2619, pages 224-239. Springer-Verlag, avril 2003.
@inproceedings{tacas2003-FMPY,
  author =              {Fersman, Elena and Mokrushin, Leonid and Pettersson,
                         Paul and Yi, Wang},
  title =               {Schedulability Analysis Using Two Clocks},
  editor =              {Garavel, Hubert and Hatcliff, John},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'03)},
  acronym =             {{TACAS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2619},
  pages =               {224-239},
  year =                {2003},
  month =               apr,
}
[FMP+06] Elena Fersman, Leonid Mokrushin, Paul Pettersson et Wang Yi. Schedulability analysis of fixed-priority systems using timed automata. Theoretical Computer Science 354(2):301-317. Elsevier, mars 2006.
@article{tcs354(2)-FMPY,
  author =              {Fersman, Elena and Mokrushin, Leonid and Pettersson,
                         Paul and Yi, Wang},
  title =               {Schedulability analysis of fixed-priority systems
                         using timed automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {354},
  number =              {2},
  pages =               {301-317},
  year =                {2006},
  month =               mar,
}
[FMR07] Tim French, John C. McCabe-Dansted et Mark Reynolds. A Temporal Logic of Robustness. In FroCoS'07, Lecture Notes in Artificial Intelligence 4720, pages 193-205. Springer-Verlag, septembre 2007.
@inproceedings{frocos2007-FMR,
  author =              {French, Tim and McCabe{-}Dansted, John C. and
                         Reynolds, Mark},
  title =               {A Temporal Logic of Robustness},
  editor =              {Konev, Boris and Wolter, Frank},
  booktitle =           {{P}roceedings of the 6th {I}nternational {W}orkshop
                         on {F}rontiers of {C}ombining {S}ystems
                         ({FroCoS}'07)},
  acronym =             {{FroCoS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Artificial Intelligence},
  volume =              {4720},
  pages =               {193-205},
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  doi =                 {10.1007/978-3-540-74621-8_13},
}
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@article{cacm52(9)-For,
  author =              {Fortnow, Lance},
  title =               {The Status of the {P} versus {NP} Problem},
  publisher =           {ACM Press},
  journal =             {Communications of the ACM},
  volume =              {52},
  number =              {9},
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}
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@inproceedings{sagt2008-Fot,
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                         convergence time and price of anarchy},
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                         on {A}lgorithmic {G}ame {T}heory ({SAGT}'08)},
  acronym =             {{SAGT}'08},
  publisher =           {Springer-Verlag},
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  volume =              {4997},
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}
[Fou15] Paulin Fournier. Parameterized verification of networks of many identical processes. Thèse de doctorat, Université Rennes 1, France, Décembre 2015.
@phdthesis{phd-fournier,
  author =              {Fournier, Paulin},
  title =               {Parameterized verification of networks of many
                         identical processes},
  year =                {2015},
  month =               dec,
  school =              {Universit{\'e} Rennes~1, France},
  type =                {Th\`ese de doctorat},
}
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@techreport{DEI-2007-37-FPR,
  author =              {Furia, Carlo A. and Pradella, Matteo and Rossi,
                         Matteo},
  title =               {Dense-Time {MTL} Verification Through Sampling},
  number =              {2007-37},
  year =                {2007},
  month =               apr,
  institution =         {Dipartimento di Elettronica ed Informazione,
                         Politecnico di Milano, Italy},
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}
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@inproceedings{fsttcs2013-FPS,
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                         Serre, Olivier},
  title =               {Emptiness Of Alternating Tree Automata Using Games
                         With Imperfect Information},
  editor =              {Seth, Anil and Vishnoi, Nisheeth K.},
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                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'13)},
  acronym =             {{FSTTCS}'13},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
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}
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  author =              {Frigeri, Achille and Pasquale, Liliana and
                         Spoletini, Paola},
  title =               {Fuzzy Time in Linear Temporal Logic},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
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  number =              {4},
  pages =               {30:1-30:22},
  year =                {2014},
  month =               aug,
}
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  author =              {Fabrikant, Alex and Papadimitriou, {\relax Ch}ristos
                         H. and Talwar, Kunal},
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  editor =              {Babai, L{\'a}szl{\'o}},
  booktitle =           {{P}roceedings of the 36th {A}nnual {ACM} {S}ymposium
                         on the {T}heory of {C}omputing ({STOC}'04)},
  acronym =             {{STOC}'04},
  publisher =           {ACM Press},
  pages =               {604-612},
  year =                {2004},
  month =               jun,
  doi =                 {10.1145/1007352.1007445},
}
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@inproceedings{tacas2002-FPY,
  author =              {Fersman, Elena and Pettersson, Paul and Yi, Wang},
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                         Schedulability and Decidability},
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  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'02)},
  acronym =             {{TACAS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2280},
  pages =               {67-82},
  year =                {2002},
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}
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@techreport{TM43-FR,
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                         Arithmetic},
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  institution =         {MIT Press},
  type =                {TR},
}
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@inproceedings{aiml2002-FR,
  author =              {French, Tim and Reynolds, Mark},
  title =               {A~Sound and Complete Proof System for~{QPTL}},
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                         and Wolter, Frank and Zakharyaschev, Michael},
  booktitle =           {{P}roceedings of the 4th {W}orkshop on {A}dvances in
                         {M}odal {L}ogic ({AIML}'02)},
  acronym =             {{AIML}'02},
  publisher =           {King's College Publications},
  pages =               {127-148},
  year =                {2003},
  confyear =            {2002},
  confmonth =           {9-10},
}
[FR07] Carlo A. Furia et Matteo Rossi. On the Expressiveness of MTL Variants over Dense Time. In FORMATS'07, Lecture Notes in Computer Science 4763, pages 163-178. Springer-Verlag, octobre 2007.
@inproceedings{formats07-FR,
  author =              {Furia, Carlo A. and Rossi, Matteo},
  title =               {On the Expressiveness of {MTL} Variants over Dense
                         Time},
  editor =              {Raskin, Jean-Fran{\c c}ois and Thiagarajan, P. S.},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'07)},
  acronym =             {{FORMATS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4763},
  pages =               {163-178},
  year =                {2007},
  month =               oct,
  doi =                 {10.1007/978-3-540-75454-1_13},
}
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@article{ejc3(2)-Fra,
  author =              {Frankl, Peter},
  title =               {An~Extremal Problem for two Families of Sets},
  publisher =           {Elsevier},
  journal =             {European Journal of Combinatorics},
  volume =              {3},
  number =              {2},
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  month =               jun,
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}
[Fra99] Martin Fränzle. Analysis of hybrid systems: an ounce of realism can save an infinity of states. In CSL'99, Lecture Notes in Computer Science 1862, pages 126-139. Springer-Verlag, septembre 1999.
@inproceedings{csl1999-Fra,
  author =              {Fr{\"a}nzle, Martin},
  title =               {Analysis of hybrid systems: an~ounce of realism can
                         save an infinity of states},
  editor =              {Flum, J{\"o}rg and Rodr{\'\i}guez{-}Artalejo, Mario},
  booktitle =           {{P}roceedings of the 13th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'99)},
  acronym =             {{CSL}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1862},
  pages =               {126-139},
  year =                {1999},
  month =               sep,
}
[Fre01] Tim French. Decidability of Quantified Propositional Branching Time Logics. In AJCAI'01, Lecture Notes in Computer Science 2256, pages 165-176. Springer-Verlag, décembre 2001.
@inproceedings{ajcai2001-Fre,
  author =              {French, Tim},
  title =               {Decidability of Quantified Propositional Branching
                         Time Logics},
  editor =              {Stumptner, Markus and Corbett, Dan and Brooks, Mike},
  booktitle =           {{P}roceedings of the 14th {A}ustralian {J}oint
                         {C}onference on {A}rtificial {I}ntelligence
                         ({AJCAI}'01)},
  acronym =             {{AJCAI}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2256},
  pages =               {165-176},
  year =                {2001},
  month =               dec,
  doi =                 {10.1007/3-540-45656-2_15},
}
[Fre03] Tim French. Quantified Propositional Temporal Logic with Repeating States. In TIME-ICTL'03, pages 155-165. IEEE Comp. Soc. Press, juillet 2003.
@inproceedings{time2003-Fre,
  author =              {French, Tim},
  title =               {Quantified Propositional Temporal Logic with
                         Repeating States},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {S}ymposium on {T}emporal {R}epresentation and
                         {R}easoning and of the 4th {I}nternational
                         {C}onference on {T}emporal {L}ogic
                         ({TIME}-{ICTL}'03)},
  acronym =             {{TIME-ICTL}'03},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {155-165},
  year =                {2003},
  month =               jul,
  doi =                 {10.1109/TIME.2003.1214891},
}
[Fre06] Tim French. Bisimulation Quantifiers for Modal Logics. PhD thesis, School of Computer Science & Software Engineering, University of Western Australia, Décembre 2006.
@phdthesis{phd-french,
  author =              {French, Tim},
  title =               {Bisimulation Quantifiers for Modal Logics},
  year =                {2006},
  month =               dec,
  school =              {School of Computer Science \& Software Engineering,
                         University of Western Australia},
  type =                {{PhD} thesis},
}
[Fri03] Carsten Fritz. Construction Büchi Automata from Linear Temporal Logic Using Simulation Relations for Alternating Büchi Automata. In CIAA'04, Lecture Notes in Computer Science 2759, pages 35-48. Springer-Verlag, juillet 2003.
@inproceedings{ciaa2003-Fri,
  author =              {Fritz, Carsten},
  title =               {Construction {B}{\"u}chi Automata from Linear
                         Temporal Logic Using Simulation Relations for
                         Alternating {B}{\"u}chi Automata},
  editor =              {Ibarra, Oscar H. and Dang, Zhe},
  booktitle =           {{R}evised {S}elected {P}apers of the 9th
                         {I}nternational {C}onference on Implementation and
                         Application of Automata ({CIAA}'04)},
  acronym =             {{CIAA}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2759},
  pages =               {35-48},
  year =                {2003},
  month =               jul,
}
[FdR+03] Massimo Franceschet, Marteen de Rijke et Bernd-Holger Schlingloff. Hybrid Logics on Linear Structures: Expressivity and Complexity. In TIME-ICTL'03, pages 166-173. IEEE Comp. Soc. Press, juillet 2003.
@inproceedings{time2003-FRS,
  author =              {Franceschet, Massimo and de Rijke, Marteen and
                         Schlingloff, Bernd-Holger},
  title =               {Hybrid Logics on Linear Structures: Expressivity and
                         Complexity},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {S}ymposium on {T}emporal {R}epresentation and
                         {R}easoning and of the 4th {I}nternational
                         {C}onference on {T}emporal {L}ogic
                         ({TIME}-{ICTL}'03)},
  acronym =             {{TIME-ICTL}'03},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {166-173},
  year =                {2003},
  month =               jul,
}
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                         Two-Counter Automata},
  editor =              {Reichel, Horst and Tison, Sophie},
  booktitle =           {{P}roceedings of the 17th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'00)},
  acronym =             {{STACS}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1770},
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}
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@inproceedings{rv2001-FS,
  author =              {Finkbeiner, Bernd and Sipma, Henny},
  title =               {Checking Finite Traces using Alternating Automata},
  editor =              {Havelund, Klaus and Ro{\c{s}}u, Grigore},
  booktitle =           {{P}roceedings of the 1st {I}nternational {W}orkshop
                         on {R}untime {V}erification ({RV}'01)},
  acronym =             {{RV}'01},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {55},
  number =              {2},
  year =                {2001},
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}
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@article{tcs256(1-2)-FS,
  author =              {Finkel, Alain and Schnoebelen, {\relax Ph}ilippe},
  title =               {Well-Structured Transition Systems Everywhere!},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {256},
  number =              {1-2},
  pages =               {63-92},
  year =                {2001},
  month =               apr,
}
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@article{fmsd24(2)-FS,
  author =              {Finkbeiner, Bernd and Sipma, Henny},
  title =               {Checking Finite Traces using Alternating Automata},
  publisher =           {Kluwer Academic},
  journal =             {Formal Methods in System Design},
  volume =              {24},
  number =              {2},
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}
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  title =               {Time and parallelizability results for parity games
                         with bounded treewidth},
  editor =              {Czumaj, Artur and Mehlhorn, Kurt and Pitts, Andrew
                         and Wattenhofer, Roger},
  booktitle =           {{P}roceedings of the 39th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'12)~-- Part~{II}},
  acronym =             {{ICALP}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7392},
  pages =               {189-200},
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                         Sipma, Henny},
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  booktitle =           {{P}roceedings of the 2nd {I}nternational {W}orkshop
                         on {R}untime {V}erification ({RV}'02)},
  acronym =             {{RV}'02},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
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                         on the {T}heory of {C}omputing ({STOC}'95)},
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  title =               {Computational methods for stochastic control with
                         metric interval temporal logic specifications},
  number =              {1503.07193},
  year =                {2015},
  month =               mar,
  institution =         {arXiv},
  type =                {Research Report},
}
[FV97] Jerzy Filar et Koos Vrieze. Competitive Markov decision processes. Springer-Verlag, 1997.
@book{CMDP-FV97,
  author =              {Filar, Jerzy and Vrieze, Koos},
  title =               {Competitive {M}arkov decision processes},
  publisher =           {Springer-Verlag},
  year =                {1997},
}
[FW05] Carsten Fritz et Thomas Wilke. Simulation Relations for Alternating Büchi Automata. Theoretical Computer Science 338(1-3):275-314. Elsevier, juin 2005.
@article{tcs338(1-3)-FW,
  author =              {Fritz, Carsten and Wilke, Thomas},
  title =               {Simulation Relations for Alternating {B}{\"u}chi
                         Automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {338},
  number =              {1-3},
  pages =               {275-314},
  year =                {2005},
  month =               jun,
}
[FZ12] Wladimir Fridman et Martin Zimmermann. Playing Pushdown Parity Games in a Hurry. In GandALF'12, Electronic Proceedings in Theoretical Computer Science 96, pages 183-196. Septembre 2012.
@inproceedings{gandalf2012-FZ,
  author =              {Fridman, Wladimir and Zimmermann, Martin},
  title =               {Playing Pushdown Parity Games in a Hurry},
  editor =              {Faella, Marco and Murano, Aniello},
  booktitle =           {{P}roceedings of the 3th {I}nternational {S}ymposium
                         on {G}ames, {A}utomata, {L}ogics and {F}ormal
                         {V}erification ({GandALF}'12)},
  acronym =             {{GandALF}'12},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {96},
  pages =               {183-196},
  year =                {2012},
  month =               sep,
  doi =                 {10.4204/EPTCS.96.14},
}
G
[vG90] Rob van Glabbeek. The linear-time–branching-time spectrum. In CONCUR'90, Lecture Notes in Computer Science 458, pages 278-297. Springer-Verlag, août 1990.
@inproceedings{concur1990-vGl,
  author =              {van Glabbeek, Rob},
  title =               {The linear-time--branching-time spectrum},
  editor =              {Baeten, Jos C. M. and Klop, Jan Willem},
  booktitle =           {{P}roceedings of the 1st {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'90)},
  acronym =             {{CONCUR}'90},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {458},
  pages =               {278-297},
  year =                {1990},
  month =               aug,
}
[Gab81] Dov M. Gabbay. Expressive Functional Completeness in Tense Logic. In Aspects of Philosophical Logic, Synthese Library 147, pages 91-117. Springer-Verlag, décembre 1981.
@inproceedings{apl1977-Gab,
  author =              {Gabbay, Dov M.},
  title =               {Expressive Functional Completeness in Tense Logic},
  editor =              {M{\"o}nnich, Uwe},
  booktitle =           {Aspects of Philosophical Logic},
  publisher =           {Springer-Verlag},
  series =              {Synthese Library},
  volume =              {147},
  pages =               {91-117},
  year =                {1981},
  month =               dec,
  confyear =            {1977},
}
[Gab89] Dov M. Gabbay. The Declarative Past and Imperative Future: Executable Temporal Logic for Interactive Systems. In TLS'87, Lecture Notes in Computer Science 398, pages 409-448. Springer-Verlag, 1989.
@inproceedings{tls1987-Gab,
  author =              {Gabbay, Dov M.},
  title =               {The Declarative Past and Imperative Future:
                         Executable Temporal Logic for Interactive Systems},
  editor =              {Banieqbal, Behnam and Barringer, Howard and Pnueli,
                         Amir},
  booktitle =           {{P}roceedings of the 1st {C}onference on {T}emporal
                         {L}ogic in {S}pecification ({TLS}'87)},
  acronym =             {{TLS}'87},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {398},
  pages =               {409-448},
  year =                {1989},
  confyear =            {1987},
  confmonth =           {4},
}
[Gal76] Zvi Galil. Hierarchies of Complete Problems. Acta Informatica 6:77-88. Springer-Verlag, 1976.
@article{acta6()-Gal,
  author =              {Galil, Zvi},
  title =               {Hierarchies of Complete Problems},
  publisher =           {Springer-Verlag},
  journal =             {Acta Informatica},
  volume =              {6},
  pages =               {77-88},
  year =                {1976},
}
[Gan15] Moses Ganardi. Parity Games of Bounded Tree- and Clique-Width. In FoSSaCS'15, Lecture Notes in Computer Science 9034, pages 390-404. Springer-Verlag, avril 2015.
@inproceedings{fossacs2015-Gan,
  author =              {Ganardi, Moses},
  title =               {Parity Games of Bounded Tree- and Clique-Width},
  editor =              {Pitts, Andrew},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'15)},
  acronym =             {{FoSSaCS}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9034},
  pages =               {390-404},
  year =                {2015},
  month =               apr,
  doi =                 {10.1007/978-3-662-46678-0_25},
}
[Gan23] Ritam Ganguly. Runtime verification of distributed systems. PhD thesis, Michigan State University, USA, 2023.
@phdthesis{phd-ganguly,
  author =              {Ganguly, Ritam},
  title =               {Runtime verification of distributed systems},
  year =                {2023},
  school =              {Michigan State University, USA},
  type =                {{PhD} thesis},
}
[Gar17] Patrick Gardy. Semantics of Strategy Logic. PhD thesis, Lab. Spécification & Vérification, Univ. Paris-Saclay, France, Juin 2017.
@phdthesis{phd-gardy,
  author =              {Gardy, Patrick},
  title =               {Semantics of Strategy Logic},
  year =                {2017},
  month =               jun,
  school =              {Lab.~Sp\'ecification \& V\'erification, Univ.
                         Paris-Saclay, France},
  type =                {{PhD} thesis},
}
[GBB+17] Mauricio González, Olivier Beaude, Patricia Bouyer, Samson Lasaulce et Nicolas Markey. Stratégies d'ordonnancement de consommation d'énergie en présence d'information imparfaite de prévision. In GRETSI'17. Septembre 2017.
Résumé

Energy consumption problems (e.g., electric vehicles charging) are very related to communication problems. The "water-filling" algorithm can be used, but it is not robust w.r.t. the noise of the "non-flexible", i.e. not-controllable, energy consumption forecasting. We propose a robust algorithm using the probabilistic model-checker PRISM, to exploit the idea of discretizing the consumption action (as for a modulation to small constellation) and the dynamic structure of the problem in a Markov-decision-process model.

@inproceedings{gretsi2017-GBBLM,
  author =              {Gonz{\'a}lez, Mauricio and Beaude, Olivier and
                         Bouyer, Patricia and Lasaulce, Samson and Markey,
                         Nicolas},
  title =               {Strat{\'e}gies d'ordonnancement de consommation
                         d'{\'e}nergie en pr{\'e}sence d'information
                         imparfaite de pr{\'e}vision},
  booktitle =           {{A}ctes du 26{\`e}me {C}olloque du {G}roupe
                         d'{\'E}tudes du {T}raitement du {S}ignal et des
                         {I}mages ({GRETSI}'17)},
  acronym =             {{GRETSI}'17},
  year =                {2017},
  month =               sep,
  abstract =            {Energy consumption problems (e.g., electric vehicles
                         charging) are very related to communication
                         problems. The "water-filling" algorithm can be used,
                         but it is not robust w.r.t. the noise of the
                         "non-flexible", i.e. not-controllable, energy
                         consumption forecasting. We~propose a robust
                         algorithm using the probabilistic model-checker
                         PRISM, to exploit the idea of discretizing the
                         consumption action (as~for a modulation to small
                         constellation) and the dynamic structure of the
                         problem in a Markov-decision-process model.},
}
[GBD02] Vijay Ganesh, Sergey Berezin et David L. Dill. Deciding Presburger Arithmetic by Model Checking and Comparisons with Other Methods. In FMCAD'02, Lecture Notes in Computer Science 2517, pages 171-398. Springer-Verlag, novembre 2002.
@inproceedings{fmcad2002-GBD,
  author =              {Ganesh, Vijay and Berezin, Sergey and Dill, David
                         L.},
  title =               {Deciding {P}resburger Arithmetic by Model Checking
                         and Comparisons with Other Methods},
  editor =              {Aagaard, Mark D. and O'Leary, John W.},
  booktitle =           {{P}roceedings of the 4th {I}nternational
                         {C}onference on {F}ormal {M}ethods in
                         {C}omputer-{A}ided {D}esign ({FMCAD}'02)},
  acronym =             {{FMCAD}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2517},
  pages =               {171-398},
  year =                {2002},
  month =               nov,
}
[GBL+19] Mauricio González, Patricia Bouyer, Samson Lasaulce et Nicolas Markey. Optimisation en présence de contraintes en probabilités et processus markoviens contrôlés. In GRETSI'19. Août 2019.
Résumé

This article focuses on the existence and synthesis of strategies in double-weighted Markov decision processes, which satisfy both a probability constraint over a weighted reachability condition, and a quantitative constraint on the expected value of a random variable defined using another reachability condition. This work generalizes a scheduling problem for energy consumption (typically the problem of charging electric vehicles). We study the set of values of a parameter (a threshold) for which the problem has a solution, and show how a partial characterization of this set can be obtained via two sequences of optimization problems. We also discuss the completeness and feasibility of the resulting approach.

@inproceedings{gretsi2019-GBLM,
  author =              {Gonz{\'a}lez, Mauricio and Bouyer, Patricia and
                         Lasaulce, Samson and Markey, Nicolas},
  title =               {Optimisation en pr\'esence de contraintes en
                         probabilit\'es et processus markoviens
                         contr\^ol\'es},
  booktitle =           {{A}ctes du 27{\`e}me {C}olloque du {G}roupe
                         d'{\'E}tudes du {T}raitement du {S}ignal et des
                         {I}mages ({GRETSI}'19)},
  acronym =             {{GRETSI}'19},
  year =                {2019},
  month =               aug,
  abstract =            {This article focuses on the existence and synthesis
                         of strategies in double-weighted Markov decision
                         processes, which satisfy both a probability
                         constraint over a weighted reachability condition,
                         and a quantitative constraint on the expected value
                         of a random variable defined using another
                         reachability condition. This work generalizes a
                         scheduling problem for energy consumption (typically
                         the problem of charging electric vehicles). We~study
                         the set of values of a parameter (a~threshold) for
                         which the problem has a solution, and show how a
                         partial characterization of this set can be obtained
                         via two sequences of optimization problems. We~also
                         discuss the completeness and feasibility of the
                         resulting approach.},
}
[GBM18] Patrick Gardy, Patricia Bouyer et Nicolas Markey. Dependences in Strategy Logic. In STACS'18, Leibniz International Proceedings in Informatics 96, pages 34:1-34:14. Leibniz-Zentrum für Informatik, février 2018.
Résumé

Strategy Logic (SL) is a very expressive temporal logic for specifying and verifying properties of multi-agent systems: in SL, one can quantify over strategies, assign them to agents, and express LTL properties of the resulting plays. Such a powerful framework has two drawbacks: first, model checking SL has non-elementary complexity; second, the exact semantics of SL is rather intricate, and may not correspond to what is expected. In this paper, we focus on strategy dependences in SL, by tracking how existentially-quantified strategies in a formula may (or may not) depend on other strategies selected in the formula, revisiting the approach of [Mogavero et al., Reasoning about strategies: On the model-checking problem, 2014]. We explain why elementary dependences, as defined by Mogavero et al., do not exactly capture the intended concept of behavioral strategies. We address this discrepancy by introducing timeline dependences, and exhibit a large fragment of SL for which model checking can be performed in 2EXPTIME under this new semantics.

@inproceedings{stacs2018-GBM,
  author =              {Gardy, Patrick and Bouyer, Patricia and Markey,
                         Nicolas},
  title =               {Dependences in Strategy Logic},
  editor =              {Niedermeier, Rolf and Vall{\'e}e, Brigitte},
  booktitle =           {{P}roceedings of the 35th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'18)},
  acronym =             {{STACS}'18},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {96},
  pages =               {34:1-34:14},
  year =                {2018},
  month =               feb,
  doi =                 {10.4230/LIPIcs.STACS.2018.34},
  abstract =            {Strategy Logic~(\textsf{SL}) is a very expressive
                         temporal logic for specifying and verifying
                         properties of multi-agent systems: in~\textsf{SL},
                         one can quantify over strategies, assign them to
                         agents, and express \textsf{LTL} properties of the
                         resulting plays. Such a powerful framework has two
                         drawbacks: first, model checking \textsf{SL} has
                         non-elementary complexity; second, the exact
                         semantics of \textsf{SL} is rather intricate, and
                         may not correspond to what is expected. In~this
                         paper, we~focus on \emph{strategy dependences}
                         in~\textsf{SL}, by tracking how
                         existentially-quantified strategies in a formula may
                         (or~may~not) depend on other strategies selected in
                         the formula, revisiting the approach of~[Mogavero
                         \emph{et~al.}, Reasoning about strategies: On~the
                         model-checking problem,~2014]. We~explain why
                         \emph{elementary} dependences, as defined by
                         Mogavero~\emph{et~al.}, do not exactly capture the
                         intended concept of behavioral strategies.
                         We~address this discrepancy by introducing
                         \emph{timeline} dependences, and exhibit a large
                         fragment of \textsf{SL} for which model checking can
                         be performed in \textsf{2EXPTIME} under this new
                         semantics.},
}
[GBM20] Patrick Gardy, Patricia Bouyer et Nicolas Markey. Dependences in Strategy Logic. Theory of Computing Systems 64(3):467-507. Springer-Verlag, avril 2020.
Résumé

Strategy Logic (SL) is a very expressive temporal logic for specifying and verifying properties of multi-agent systems: in SL, one can quantify over strategies, assign them to agents, and express LTL properties of the resulting plays. Such a powerful framework has two drawbacks: first, model checking SL has non-elementary complexity; second, the exact semantics of SL is rather intricate, and may not correspond to what is expected. In this paper, we focus on strategy dependences in SL, by tracking how existentially-quantified strategies in a formula may (or may not) depend on other strategies selected in the formula, revisiting the approach of [Mogavero et al., Reasoning about strategies: On the model-checking problem, 2014]. We explain why elementary dependences, as defined by Mogavero et al., do not exactly capture the intended concept of behavioral strategies. We address this discrepancy by introducing timeline dependences, and exhibit a large fragment of SL for which model checking can be performed in 2EXPTIME under this new semantics.

@article{tocsys64(3)-GBM,
  author =              {Gardy, Patrick and Bouyer, Patricia and Markey,
                         Nicolas},
  title =               {Dependences in Strategy Logic},
  publisher =           {Springer-Verlag},
  journal =             {Theory of Computing Systems},
  volume =              {64},
  number =              {3},
  pages =               {467-507},
  year =                {2020},
  month =               apr,
  doi =                 {10.1007/s00224-019-09926-y},
  abstract =            {Strategy Logic~(\textsf{SL}) is a very expressive
                         temporal logic for specifying and verifying
                         properties of multi-agent systems: in~\textsf{SL},
                         one can quantify over strategies, assign them to
                         agents, and express \textsf{LTL} properties of the
                         resulting plays. Such a powerful framework has two
                         drawbacks: first, model checking \textsf{SL} has
                         non-elementary complexity; second, the exact
                         semantics of \textsf{SL} is rather intricate, and
                         may not correspond to what is expected. In~this
                         paper, we~focus on \emph{strategy dependences}
                         in~\textsf{SL}, by tracking how
                         existentially-quantified strategies in a formula may
                         (or~may~not) depend on other strategies selected in
                         the formula, revisiting the approach of~[Mogavero
                         \emph{et~al.}, Reasoning about strategies: On~the
                         model-checking problem,~2014]. We~explain why
                         \emph{elementary} dependences, as defined by
                         Mogavero~\emph{et~al.}, do not exactly capture the
                         intended concept of behavioral strategies.
                         We~address this discrepancy by introducing
                         \emph{timeline} dependences, and exhibit a large
                         fragment of \textsf{SL} for which model checking can
                         be performed in \textsf{2EXPTIME} under this new
                         semantics.},
}
[GC04] Arie Gurfinkel et Marsha Chechik. Extending extended vacuity. In FMCAD'04, Lecture Notes in Computer Science 3312, pages 306-321. Springer-Verlag, novembre 2004.
@inproceedings{fmcad2004-GC,
  author =              {Gurfinkel, Arie and Chechik, Marsha},
  title =               {Extending extended vacuity},
  editor =              {Hu, Alan J. and Martin, Andrew K.},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onference on {F}ormal {M}ethods in
                         {C}omputer-{A}ided {D}esign ({FMCAD}'04)},
  acronym =             {{FMCAD}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3312},
  pages =               {306-321},
  year =                {2004},
  month =               nov,
  doi =                 {10.1007/978-3-540-30494-4_22},
}
[GC05] Arie Gurfinkel et Marsha Chechik. How Thorough Is Thorough Enough?. In CHARME'05, Lecture Notes in Computer Science 3725, pages 65-80. Springer-Verlag, octobre 2005.
@inproceedings{charme2005-GC,
  author =              {Gurfinkel, Arie and Chechik, Marsha},
  title =               {How Thorough Is Thorough Enough?},
  editor =              {Borrine, Dominique and Paul, Wolfgang J.},
  booktitle =           {{P}roceedings of the 13th {C}orrect {H}ardware
                         {D}esign and {V}erification {M}ethods ({CHARME}'05)},
  acronym =             {{CHARME}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3725},
  pages =               {65-80},
  year =                {2005},
  month =               oct,
}
[GC10] Arie Gurfinkel et Marsha Chechik. Robust Vacuity for Branching Temporal Logic. Research Report cs.LO/1002.4616, arXiv, février 2010.
@techreport{arxiv-cs.LO/1002.4616,
  author =              {Gurfinkel, Arie and Chechik, Marsha},
  title =               {Robust Vacuity for Branching Temporal Logic},
  number =              {cs.LO/1002.4616},
  year =                {2010},
  month =               feb,
  institution =         {arXiv},
  type =                {Research Report},
}
[GC12] Arie Gurfinkel et Marsha Chechik. Robust Vacuity for Branching Temporal Logic. ACM Transactions on Computational Logic 13(1). ACM Press, janvier 2012.
@article{tocl13(1)-GC,
  author =              {Gurfinkel, Arie and Chechik, Marsha},
  title =               {Robust Vacuity for Branching Temporal Logic},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {13},
  number =              {1},
  year =                {2012},
  month =               jan,
  doi =                 {10.1145/2071368.2071369},
}
[GCO01] Thorsten Gerdsmeier et Rachel Cardell-Oliver. Analysis of Scheduling Behaviour using Generic Timed Automata. In CATS'01, Electronic Notes in Theoretical Computer Science 42. Elsevier, janvier 2001.
@inproceedings{cats2001-GC,
  author =              {Gerdsmeier, Thorsten and Cardell-Oliver, Rachel},
  title =               {Analysis of Scheduling Behaviour using Generic Timed
                         Automata},
  editor =              {Fidge, Colin},
  booktitle =           {Computing: The Australasian Theory Symposium
                         ({CATS}'01)},
  acronym =             {{CATS}'01},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {42},
  year =                {2001},
  month =               jan,
}
[GvD06] Valentin Goranko et Govert van Drimmelen. Complete Axiomatization and decidability of Alternating-time Temporal Logic. Theoretical Computer Science 353(1-3):93-117. Elsevier, mars 2006.
@article{tcs353(1-3)-GvD,
  author =              {Goranko, Valentin and van Drimmelen, Govert},
  title =               {Complete Axiomatization and decidability of
                         Alternating-time Temporal Logic},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {353},
  number =              {1-3},
  pages =               {93-117},
  year =                {2006},
  month =               mar,
}
[GD12] Dimitar P. Guelev et Cătălin Dima. Epistemic ATL with Perfect Recall, Past and Strategy Contexts. In CLIMA'12, Lecture Notes in Artificial Intelligence 7486, pages 77-93. Springer-Verlag, août 2012.
@inproceedings{clima2012-GD,
  author =              {Guelev, Dimitar P. and Dima, C{\u a}t{\u a}lin},
  title =               {Epistemic {ATL} with Perfect Recall, Past and
                         Strategy Contexts},
  editor =              {Fisher, Michael and van der Torre, Leendert W. N.
                         and Dastani, Mehdi and Governatori, Guido},
  booktitle =           {{P}roceedings of the 13th {I}nternational {W}orkshop
                         on {C}omputational {L}ogic in {M}ulti-{A}gent
                         {S}ystems ({CLIMA}'12)},
  acronym =             {{CLIMA}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Artificial Intelligence},
  volume =              {7486},
  pages =               {77-93},
  year =                {2012},
  month =               aug,
  doi =                 {10.1007/978-3-642-32897-8_7},
}
[Gei01] Marc C.W. Geilen. On the Construction of Monitors for Temporal Logic Properties. In RV'01, Electronic Notes in Theoretical Computer Science 55(2). Elsevier, juillet 2001.
@inproceedings{rv2001-Gei,
  author =              {Geilen, Marc C.W.},
  title =               {On the Construction of Monitors for Temporal Logic
                         Properties},
  editor =              {Havelund, Klaus and Ro{\c{s}}u, Grigore},
  booktitle =           {{P}roceedings of the 1st {I}nternational {W}orkshop
                         on {R}untime {V}erification ({RV}'01)},
  acronym =             {{RV}'01},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {55},
  number =              {2},
  year =                {2001},
  month =               jul,
}
[Gel13] Marcus Gelderie. Strategy Composition in Compositional Games. In ICALP'13, Lecture Notes in Computer Science 7966, pages 263-274. Springer-Verlag, juillet 2013.
@inproceedings{icalp2013-Gel,
  author =              {Gelderie, Marcus},
  title =               {Strategy Composition in Compositional Games},
  editor =              {Fomin, Fedor V. and Freivalds, Rusins and
                         Kwiatkowska, Marta and Peleg, David},
  booktitle =           {{P}roceedings of the 40th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'13)~-- Part~{II}},
  acronym =             {{ICALP}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7966},
  pages =               {263-274},
  year =                {2013},
  month =               jul,
  doi =                 {10.1007/978-3-642-39212-2_25},
}
[Gel14] Marcus Gelderie. Strategy Machines – Representation and Complexity of Strategies in Infinite Games. PhD thesis, RWTH Aachen, Germany, Février 2014.
@phdthesis{phd-gelderie,
  author =              {Gelderie, Marcus},
  title =               {Strategy Machines~-- Representation and Complexity
                         of Strategies in Infinite Games},
  year =                {2014},
  month =               feb,
  school =              {RWTH Aachen, Germany},
  type =                {{PhD} thesis},
}
[GGR99] Leszek Gąsieniec, Alan Gibbons et Wojciech Rytter. Efficiency of Fast Parallel Pattern-Searching in Highly Compressed Texts. In MFCS'99, Lecture Notes in Computer Science 1672, pages 48-58. Springer-Verlag, septembre 1999.
@inproceedings{mfcs1999-GGR,
  author =              {G{\k a}sieniec, Leszek and Gibbons, Alan and Rytter,
                         Wojciech},
  title =               {Efficiency of Fast Parallel Pattern-Searching in
                         Highly Compressed Texts},
  editor =              {Kutylowski, Miroslaw and Pacholski, Leszek and
                         Wierzbicki, Tomasz},
  booktitle =           {{P}roceedings of the 24th {I}nternational
                         {S}ymposium on {M}athematical {F}oundations of
                         {C}omputer {S}cience ({MFCS}'99)},
  acronym =             {{MFCS}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1672},
  pages =               {48-58},
  year =                {1999},
  month =               sep,
}
[GGS03] Georg Gottlob, Gianluigi Greco et Francesco Scarcello. Pure Nash Equilibria: Hard and Easy Games. In TARK'03, pages 215-230. ACM Press, juin 2003.
@inproceedings{tark2003-GGS,
  author =              {Gottlob, Georg and Greco, Gianluigi and Scarcello,
                         Francesco},
  title =               {Pure {N}ash Equilibria: Hard and Easy Games},
  editor =              {Halpern, Joseph Y. and Tennenholtz, Moshe},
  booktitle =           {{P}roceedings of the 9th {C}onference on
                         {T}heoretical {A}spects of {R}ationality and
                         {K}nowledge ({TARK}'03)},
  acronym =             {{TARK}'03},
  publisher =           {ACM Press},
  pages =               {215-230},
  year =                {2003},
  month =               jun,
}
[GH82] Yuri Gurevich et Leo Harrington. Trees, automata and games. In STOC'82, pages 60-65. ACM Press, mai 1982.
@inproceedings{stoc1982-GH,
  author =              {Gurevich, Yuri and Harrington, Leo},
  title =               {Trees, automata and games},
  booktitle =           {{P}roceedings of the 14th {A}nnual {ACM} {S}ymposium
                         on the {T}heory of {C}omputing ({STOC}'82)},
  acronym =             {{STOC}'82},
  publisher =           {ACM Press},
  pages =               {60-65},
  year =                {1982},
  month =               may,
}
[GH98] Raymond Greenlaw et H. James Hoover. Parallel Computation: Models and Complexity Issues. In Mikhail J. Atallah (eds.), Handbook of Algorithms and Theory of Computation. CRC Press, novembre 1998.
@incollection{HATC1998-GH,
  author =              {Greenlaw, Raymond and Hoover, H. James},
  title =               {Parallel Computation: Models and Complexity Issues},
  editor =              {Atallah, Mikhail J.},
  booktitle =           {Handbook of Algorithms and Theory of Computation},
  publisher =           {CRC Press},
  chapter =             {48},
  year =                {1998},
  month =               nov,
}
[GH10] Hugo Gimbert et Florian Horn. Solving simple stochastic tail games. In SODA'10, pages 847-862. Society for Industrial and Applied Math., janvier 2010.
@inproceedings{soda2010-GH,
  author =              {Gimbert, Hugo and Horn, Florian},
  title =               {Solving simple stochastic tail games},
  booktitle =           {{P}roceedings of the 21st {A}nnual {ACM}-{SIAM}
                         {S}ymposium on {D}iscrete {A}lgorithms ({SODA}'10)},
  acronym =             {{SODA}'10},
  publisher =           {Society for Industrial and Applied Math.},
  pages =               {847-862},
  year =                {2010},
  month =               jan,
  doi =                 {10.1137/1.9781611973075.69},
}
[GHJ97] Vineet Gupta, Thomas A. Henzinger et Radha Jagadeesan. Robust Timed Automata. In HART'97, Lecture Notes in Computer Science 1201, pages 331-345. Springer-Verlag, mars 1997.
@inproceedings{hart1997-GHJ,
  author =              {Gupta, Vineet and Henzinger, Thomas A. and
                         Jagadeesan, Radha},
  title =               {Robust Timed Automata},
  editor =              {Maler, Oded},
  booktitle =           {{P}roceedings of the 1997 {I}nternational {W}orkshop
                         on {H}ybrid and {R}eal-Time {S}ystems ({HART}'97)},
  acronym =             {{HART}'97},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1201},
  pages =               {331-345},
  year =                {1997},
  month =               mar,
}
[GHK+08] Elisabeth Gassner, Johannes Hatzl, Sven O. Krumke, Heike Sperber et Gerhard J. Woeginger. How hard is it to find extreme Nash equilibria in network congestion games?. In WINE'08, Lecture Notes in Computer Science 5385, pages 82-93. Springer-Verlag, décembre 2008.
@inproceedings{wine2008-GHKSW,
  author =              {Gassner, Elisabeth and Hatzl, Johannes and Krumke,
                         Sven O. and Sperber, Heike and Woeginger, Gerhard
                         J.},
  title =               {How hard is it to find extreme {N}ash equilibria in
                         network congestion games?},
  editor =              {Papadimitriou, {\relax Ch}ristos H. and Zhang,
                         Shuzhong},
  booktitle =           {{P}roceedings of the 4th {I}nternational {W}orkshop
                         on {I}nternet and {N}etwork {E}conomics ({WINE}'08)},
  acronym =             {{WINE}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5385},
  pages =               {82-93},
  year =                {2008},
  month =               dec,
  doi =                 {10.1007/978-3-540-92185-1_17},
}
[GHO+10] Stefan Göller, Christoph Haase, Joël Ouaknine et James Worrell. Model Checking Succinct and Parametric One-Counter Automata. In ICALP'10, Lecture Notes in Computer Science 6199, pages 575-586. Springer-Verlag, juillet 2010.
@inproceedings{icalp2010-GHOW,
  author =              {G{\"o}ller, Stefan and Haase, Christoph and
                         Ouaknine, Jo{\"e}l and Worrell, James},
  title =               {Model Checking Succinct and Parametric One-Counter
                         Automata},
  editor =              {Abramsky, Samson and Gavoille, Cyril and Kirchner,
                         Claude and Meyer auf der Heide, Friedhelm and
                         Spirakis, Paul G.},
  booktitle =           {{P}roceedings of the 37th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'10)~-- Part~{II}},
  acronym =             {{ICALP}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6199},
  pages =               {575-586},
  year =                {2010},
  month =               jul,
  doi =                 {10.1007/978-3-642-14162-1_48},
}
[GHP+17] Julian Gutierrez, Paul Harrenstein, Giuseppe Perelli et Michael Wooldridge. Nash Equilibrium and Bisimulation Invariance. In CONCUR'17, Leibniz International Proceedings in Informatics 85, pages 17:1-17:16. Leibniz-Zentrum für Informatik, septembre 2017.
@inproceedings{concur2017-GHPW,
  author =              {Gutierrez, Julian and Harrenstein, Paul and Perelli,
                         Giuseppe and Wooldridge, Michael},
  title =               {{N}ash Equilibrium and Bisimulation Invariance},
  editor =              {Meyer, Roland and Nestmann, Uwe},
  booktitle =           {{P}roceedings of the 28th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'17)},
  acronym =             {{CONCUR}'17},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {85},
  pages =               {17:1-17:16},
  year =                {2017},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CONCUR.2017.17},
}
[GHR95] Raymond Greenlaw, H. James Hoover et Walter L. Ruzzo. Limits to Parallel Computation: P-Completeness Theory. Oxford University Press, 1995.
@book{GHR95,
  author =              {Greenlaw, Raymond and Hoover, H. James and Ruzzo,
                         Walter L.},
  title =               {Limits to Parallel Computation: {P}-Completeness
                         Theory},
  publisher =           {Oxford University Press},
  year =                {1995},
}
[Gim06] Hugo Gimbert. Jeux positionnels. Thèse de doctorat, Lab. Informatique Algorithmique: Fondements et Applications, Université Paris 7, France, Décembre 2006.
@phdthesis{phd-gimbert,
  author =              {Gimbert, Hugo},
  title =               {Jeux positionnels},
  year =                {2006},
  month =               dec,
  school =              {Lab.~Informatique Algorithmique: Fondements et
                         Applications, Universit{\'e} Paris~7, France},
  type =                {Th\`ese de doctorat},
}
[Gin58] Seymour Ginsburg. On the Length of the Smallest Uniform Experiment which Distinguishes the Terminal States of a Machine. Journal of the ACM 5(3):266-280. ACM Press, juillet 1958.
@article{jacm5(3)-Gin,
  author =              {Ginsburg, Seymour},
  title =               {On~the Length of the Smallest Uniform Experiment
                         which Distinguishes the Terminal States of a
                         Machine},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {5},
  number =              {3},
  pages =               {266-280},
  year =                {1958},
  month =               jul,
  doi =                 {10.1145/320932.320938},
}
[Gir12] Antoine Girard. Low-complexity switching controllers for safety using symbolic models. In ADHS'12. International Federation of Automatic Control, juin 2012.
@inproceedings{adhs2012-Gir,
  author =              {Girard, Antoine},
  title =               {Low-complexity switching controllers for safety
                         using symbolic models},
  editor =              {Giua, Alessandro and Silva, Manuel and Heemels,
                         Maurice and De{~}Schutter, Bart},
  booktitle =           {Proceedings of the 4th {IFAC} conference on
                         {A}nalysis and {D}esign of {H}ybrid {S}ystems
                         ({ADHS}'12)},
  acronym =             {{ADHS}'12},
  publisher =           {International Federation of Automatic Control},
  year =                {2012},
  month =               jun,
}
[GJ79] Michael R. Garey et David S. Johnson. Computers and Intractability: A Guide to the Theory of NP-Completeness. W. H. Freeman & Co., 1979.
@book{GJ79,
  author =              {Garey, Michael R. and Johnson, David S.},
  title =               {Computers and Intractability: A Guide to the Theory
                         of {NP}-Completeness},
  publisher =           {W.~H. Freeman~\&~Co.},
  year =                {1979},
}
[GJ04] Valentin Goranko et Wojciech Jamroga. Comparing Semantics of Logics for Multi-agent Systems. Synthese 139(2):241-280. Springer-Verlag, mars 2004.
@article{synthese139(2)-GJ,
  author =              {Goranko, Valentin and Jamroga, Wojciech},
  title =               {Comparing Semantics of Logics for Multi-agent
                         Systems},
  publisher =           {Springer-Verlag},
  journal =             {Synthese},
  volume =              {139},
  number =              {2},
  pages =               {241-280},
  year =                {2004},
  month =               mar,
}
[GK72] Yuri Gurevich et Igor O. Koryakov. Remarks on Berger's paper on the domino problem. Siberian Mathematical Journal 13(2):459-463. Springer-Verlag, mars 1972.
@article{smj13(2)-GK,
  author =              {Gurevich, Yuri and Koryakov, Igor O.},
  title =               {Remarks on {B}erger's paper on the domino problem},
  publisher =           {Springer-Verlag},
  journal =             {Siberian Mathematical Journal},
  volume =              {13},
  number =              {2},
  pages =               {459-463},
  year =                {1972},
  month =               mar,
}
[GK02] Georg Gottlob et Christoph Koch. Monadic Queries over Tree-Structured Data. In LICS'02, pages 189-202. IEEE Comp. Soc. Press, juillet 2002.
@inproceedings{lics2002-GK,
  author =              {Gottlob, Georg and Koch, Christoph},
  title =               {Monadic Queries over Tree-Structured Data},
  booktitle =           {{P}roceedings of the 17th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'02)},
  acronym =             {{LICS}'02},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {189-202},
  year =                {2002},
  month =               jul,
}
[GKP+96] Leszek Gąsieniec, Marek Karpinski, Wojciech Plandowski et Wojciech Rytter. Efficient Algorithms for Lempel-Ziv Encoding (Extended Abstract). In SWAT'96, Lecture Notes in Computer Science 1097, pages 392-403. Springer-Verlag, juillet 1996.
@inproceedings{swat1996-GKPR,
  author =              {G{\k a}sieniec, Leszek and Karpinski, Marek and
                         Plandowski, Wojciech and Rytter, Wojciech},
  title =               {Efficient Algorithms for {L}empel-{Z}iv Encoding
                         (Extended Abstract)},
  editor =              {Karlsson, Rolf G. and Lingas, Andrzej},
  booktitle =           {{P}roceedings of the 5th {S}candinavian {W}orkshop
                         on {A}lgorithm {T}heory ({SWAT}'96)},
  acronym =             {{SWAT}'96},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1097},
  pages =               {392-403},
  year =                {1996},
  month =               jul,
}
[GKS+03] Sankar Gurumurthy, Orna Kupferman, Fabio Somenzi et Moshe Y. Vardi. On Complementing Nondeterministic Büchi Automata. In CHARME'03, Lecture Notes in Computer Science 2860. Springer-Verlag, octobre 2003.
@inproceedings{charme2003-GKSV,
  author =              {Gurumurthy, Sankar and Kupferman, Orna and Somenzi,
                         Fabio and Vardi, Moshe Y.},
  title =               {On Complementing Nondeterministic B{\"u}chi
                         Automata},
  editor =              {Geist, Daniel and Tronci, Enrico},
  booktitle =           {{P}roceedings of the 12th {C}orrect {H}ardware
                         {D}esign and {V}erification {M}ethods ({CHARME}'03)},
  acronym =             {{CHARME}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2860},
  year =                {2003},
  month =               oct,
}
[GL02] Dimitra Giannakopoulou et Flavio Lerda. From States to Transitions: Improving Translation of LTL Formulae to Büchi Automata. In FORTE'02, Lecture Notes in Computer Science 2529, pages 308-326. Springer-Verlag, novembre 2002.
@inproceedings{forte2002-GL,
  author =              {Giannakopoulou, Dimitra and Lerda, Flavio},
  title =               {From States to Transitions: Improving Translation of
                         {LTL} Formulae to {B}{\"u}chi Automata},
  editor =              {Peled, Doron A. and Vardi, Moshe Y.},
  booktitle =           {{P}roceedings of the 22th {IFIP} {WG}6.1
                         {I}nternational {C}onference on {F}ormal
                         {T}echniques for {N}etworked and {D}istributed
                         {S}ystems ({FORTE}'02)},
  acronym =             {{FORTE}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2529},
  pages =               {308-326},
  year =                {2002},
  month =               nov,
}
[GL09] Sahika Genc et Stéphane Lafortune. Predictability of event occurrences in partially-observed discrete-event systems. Automatica 45(2):301-311. Elsevier, février 2009.
@article{Automatica45(2)-GL,
  author =              {Genc, Sahika and Lafortune, St{\'e}phane},
  title =               {Predictability of event occurrences in
                         partially-observed discrete-event systems},
  publisher =           {Elsevier},
  journal =             {Automatica},
  volume =              {45},
  number =              {2},
  pages =               {301-311},
  year =                {2009},
  month =               feb,
  doi =                 {10.1016/j.automatica.2008.06.022},
}
[GL10] Stefan Göller et Markus Lohrey. Branching-time model checking of one-counter processes. In STACS'10, Leibniz International Proceedings in Informatics 20, pages 405-416. Leibniz-Zentrum für Informatik, février 2010.
@inproceedings{stacs2010-GL,
  author =              {G{\"o}ller, Stefan and Lohrey, Markus},
  title =               {Branching-time model checking of one-counter
                         processes},
  editor =              {Marion, Jean-Yves and Schwentick, Thomas},
  booktitle =           {{P}roceedings of the 27th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'10)},
  acronym =             {{STACS}'10},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {20},
  pages =               {405-416},
  year =                {2010},
  month =               feb,
}
[GL13] Stefan Göller et Markus Lohrey. Branching-time model checking of one-counter processes and timed automata. SIAM Journal on Computing 42(3):884-923. Society for Industrial and Applied Math., 2013.
@article{siamcomp42(3)-GL,
  author =              {G{\"o}ller, Stefan and Lohrey, Markus},
  title =               {Branching-time model checking of one-counter
                         processes and timed automata},
  publisher =           {Society for Industrial and Applied Math.},
  journal =             {SIAM Journal on Computing},
  volume =              {42},
  number =              {3},
  pages =               {884-923},
  year =                {2013},
  doi =                 {10.1137/120876435},
}
[GLM+05] Guillaume Gardey, Didier Lime, Morgan Magnin et Olivier H. Roux. Romeo: A Tool for Analyzing Time Petri Nets. In CAV'05, Lecture Notes in Computer Science 3576, pages 418-423. Springer-Verlag, juillet 2005.
@inproceedings{cav2005-GLMR,
  author =              {Gardey, Guillaume and Lime, Didier and Magnin,
                         Morgan and Roux, Olivier H.},
  title =               {Romeo: A~Tool for Analyzing Time {P}etri Nets},
  editor =              {Etessami, Kousha and Rajamani, Sriram},
  booktitle =           {{P}roceedings of the 17th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'05)},
  acronym =             {{CAV}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3576},
  pages =               {418-423},
  year =                {2005},
  month =               jul,
  doi =                 {10.1007/11513988_41},
}
[GLS95] Jens Christian Godskesen, Kim Guldstrand Larsen et Arne Skou. Automatic verification of real-tim systems using epsilon. In PSTV'94, IFIP Conference Proceedings 1, pages 323-330. Chapman & Hall, 1995.
@inproceedings{PSTV1994-GLS94,
  author =              {Godskesen, Jens Christian and Larsen, Kim Guldstrand
                         and Skou, Arne},
  title =               {Automatic verification of real-tim systems using
                         epsilon},
  editor =              {Vuong, Son T. and Chanson, Samuel T.},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {S}ymposium on {P}rotocol {S}pecification, {T}esting
                         and {V}erification ({PSTV}'94)},
  acronym =             {{PSTV}'94},
  publisher =           {Chapman \& Hall},
  series =              {IFIP Conference Proceedings},
  volume =              {1},
  pages =               {323-330},
  year =                {1995},
  confyear =            {1994},
}
[GM22] Thomas Guyet et Nicolas Markey. Logical forms of chronicles. In TIME'22, Leibniz International Proceedings in Informatics, pages 7:1-7:15. Leibniz-Zentrum für Informatik, novembre 2022.
Résumé

A chronicle is a temporal model introduced by Dousson et al. for situation recognition. In short, a chronicle consists of a set of events and a set of real-valued temporal constraints on the delays between pairs of events. This work investigates the relationship between chronicles and classical temporal model formalisms, namely TPTL and MTL. More specifically, we answer the following question: is it possible to find an equivalent formula in such formalisms for any chronicle? This question arises from the observation that a single chronicle captures complex temporal behaviours that do not order the events in time.

In this article, we introduce the subclass of linear chronicles, which defines a temporal order of occurrence of the event to be recognized in a temporal sequence. Our first result is that any chronicle can be expressed as a disjunction of linear chronicles. Our second result is that any linear chronicle has an equivalent TPTL formula. Using existing expressiveness results between TPTL and MTL, we show that some chronicles have no equivalent in MTL. This confirms that the model of chronicle has interesting properties for situation recognition.

@inproceedings{time2022-GM,
  author =              {Guyet, {\relax Th}omas and Markey, Nicolas},
  title =               {Logical forms of chronicles},
  editor =              {Artikis, Alexander and Posenato, Roberto and
                         Tonetta, Stefano},
  booktitle =           {{P}roceedings of the 29th {I}nternational
                         {S}ymposium on {T}emporal {R}epresentation and
                         {R}easoning ({TIME}'22)},
  acronym =             {{TIME}'22},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  pages =               {7:1-7:15},
  year =                {2022},
  month =               nov,
  doi =                 {10.4230/LIPIcs.TIME.2022.7},
  abstract =            {A~chronicle is a temporal model introduced by
                         Dousson~\textit{et~al.} for situation recognition.
                         In~short, a chronicle consists of a set of events
                         and a set of real-valued temporal constraints on the
                         delays between pairs of events. This~work
                         investigates the relationship between chronicles and
                         classical temporal model formalisms, namely
                         \textsf{TPTL} and~\textsf{MTL}. More~specifically,
                         we~answer the following question: is~it possible to
                         find an equivalent formula in such formalisms for
                         any chronicle? This~question arises from the
                         observation that a single chronicle captures complex
                         temporal behaviours that do not order the events in
                         time.\par In~this article, we~introduce the subclass
                         of linear chronicles, which defines a temporal order
                         of occurrence of the event to be recognized in a
                         temporal sequence. Our~first result is that any
                         chronicle can be expressed as a disjunction of
                         linear chronicles. Our~second result is that any
                         linear chronicle has an equivalent \textsf{TPTL}
                         formula. Using existing expressiveness results
                         between \textsf{TPTL} and~\textsf{MTL}, we~show that
                         some chronicles have no equivalent in~\textsf{MTL}.
                         This confirms that the model of chronicle has
                         interesting properties for situation recognition.},
}
[GMP03] Villiam Geffert, Carlo Mereghetti et Giovanni Pighizzini. Converting Two-way Nondeterministic Unary Automata into Simpler Automata. Theoretical Computer Science 295(1-3):189-203. Elsevier, février 2003.
@article{tcs295(1-3)-GMP,
  author =              {Geffert, Villiam and Mereghetti, Carlo and
                         Pighizzini, Giovanni},
  title =               {Converting Two-way Nondeterministic Unary Automata
                         into Simpler Automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {295},
  number =              {1-3},
  pages =               {189-203},
  year =                {2003},
  month =               feb,
}
[GMP07] Villiam Geffert, Carlo Mereghetti et Giovanni Pighizzini. Complementing Two-way Finite Automata. Information and Computation 205(8):1173-1187. Elsevier, août 2007.
@article{icomp205(8)-GMP,
  author =              {Geffert, Villiam and Mereghetti, Carlo and
                         Pighizzini, Giovanni},
  title =               {Complementing Two-way Finite Automata},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {205},
  number =              {8},
  pages =               {1173-1187},
  year =                {2007},
  month =               aug,
}
[GMS22] Aline Goeminne, Nicolas Markey et Ocan Sankur. Non-Blind Strategies in Timed Network Congestion Games. In FORMATS'22, Lecture Notes in Computer Science 13465, pages 183-199. Springer-Verlag, septembre 2022.
Résumé

Network congestion games are a convenient model for reasoning about routing problems in a network: agents have to move from a source to a target vertex while avoiding congestion, measured as a cost depending on the number of players using the same link. Network congestion games have been extensively studied over the last 40 years, while their extension with timing constraints were considered more recently.

Most of the results on network congestion games consider blind strategies: they are static, and do not adapt to the strategies selected by the other players. We extend the recent results of [Bertrand et al., Dynamic network congestion games. FSTTCS'20] to timed network congestion games, in which the availability of the edges depend on (discrete) time. We prove that computing Nash equilibria satisfying some constraint on the total cost (and in particular, computing the best and worst Nash equilibria), and computing the social optimum, can be achieved in exponential space. The social optimum can be computed in polynomial space if all players have the same source and target.

@inproceedings{formats2022-GMS,
  author =              {Goeminne, Aline and Markey, Nicolas and Sankur,
                         Ocan},
  title =               {Non-Blind Strategies in Timed Network Congestion
                         Games},
  editor =              {Bogomolov, Sergiy and Parker, David},
  booktitle =           {{P}roceedings of the 20th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'22)},
  acronym =             {{FORMATS}'22},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {13465},
  pages =               {183-199},
  year =                {2022},
  month =               sep,
  doi =                 {10.1007/978-3-031-15839-1_11},
  abstract =            {Network congestion games are a convenient model for
                         reasoning about routing problems in a network:
                         agents have to move from a source to a target vertex
                         while avoiding congestion, measured as a cost
                         depending on the number of players using the same
                         link. Network congestion games have been extensively
                         studied over the last 40 years, while their
                         extension with timing constraints were considered
                         more recently. \par Most of the results on network
                         congestion games consider blind strategies: they are
                         static, and do not adapt to the strategies selected
                         by the other players. We extend the recent results
                         of [Bertrand~\textit{et~al.}, Dynamic network
                         congestion games. FSTTCS'20] to timed network
                         congestion games, in which the availability of the
                         edges depend on (discrete) time. We prove that
                         computing Nash equilibria satisfying some constraint
                         on the total cost (and in particular, computing the
                         best and worst Nash equilibria), and computing the
                         social optimum, can be achieved in exponential
                         space. The social optimum can be computed in
                         polynomial space if all players have the same source
                         and target.},
}
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                         Alain},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'01)},
  acronym =             {{CAV}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2102},
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  year =                {2001},
  month =               jul,
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                         {S}ymposium on {M}athematical {F}oundations of
                         {C}omputer {S}cience ({MFCS}'03)},
  acronym =             {{MFCS}'03},
  publisher =           {Springer-Verlag},
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                         {T}heoretical {A}spects of {R}ationality and
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  journal =             {Journal of the~ACM},
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                         {S}ymposium on {F}undamentals of {C}omputation
                         {T}heory ({FCT}'01)},
  acronym =             {{FCT}'01},
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  month =               jul,
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                         {P}rinciples of {P}rogramming {L}anguages
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  pages =               {163-173},
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[GPV+96] Rob Gerth, Doron A. Peled, Moshe Y. Vardi et Pierre Wolper. Simple On-the-fly Automatic Verification of Linear Temporal Logic. In PSTV'95, IFIP Conference Proceedings 38, pages 3-18. Chapman & Hall, 1996.
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                         Temporal Logic},
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  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {S}ymposium on {P}rotocol {S}pecification, {T}esting
                         and {V}erification ({PSTV}'95)},
  acronym =             {{PSTV}'95},
  publisher =           {Chapman \& Hall},
  series =              {IFIP Conference Proceedings},
  volume =              {38},
  pages =               {3-18},
  year =                {1996},
  confyear =            {1995},
  confmonth =           {6},
}
[GR97] Dora Giammarresi et Antonio Restivo. Two-dimensional Languages. In Grzegorz Rozenberg et Arto Salomaa (eds.), Handbook of Formal Languages. Springer-Verlag, 1997.
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[GR99] Leszek Gąsieniec et Wojciech Rytter. Almost Optimal Fully LZW-Compressed Pattern Matching. In DCC'99, pages 316-325. IEEE Comp. Soc. Press, mars 1999.
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                         {C}onference ({DCC}'99)},
  acronym =             {{DCC}'99},
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[Gra83] Susanne Graf. On Lamport's Comparison between Linear and Branching Time Logic. Research Report 348, Lab. Informatique et Mathématiques Apppliquées de Grenoble, France, janvier 1983.
@techreport{imag348-Gra,
  author =              {Graf, Susanne},
  title =               {On {L}amport's Comparison between Linear and
                         Branching Time Logic},
  number =              {348},
  year =                {1983},
  month =               jan,
  institution =         {Lab.~Informatique et Math{\'e}matiques Apppliqu\'ees
                         de Grenoble, France},
  type =                {Research Report},
}
[Gra84] Susanne Graf. On Lamport's Comparison between Linear and Branching Time Logic. RAIRO – Informatique Théorique et Applications 18(4):345-353. EDP Sciences, 1984.
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  author =              {Graf, Susanne},
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                         Branching Time Logic},
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  journal =             {RAIRO~-- Informatique Th{\'e}orique et Applications},
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[Gri08] Olga Grinchtein. Learning of Timed Systems. PhD thesis, Deparment of Information Technology, Uppsala University, Sweden, 2008.
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  author =              {Grinchtein, Olga},
  title =               {Learning of Timed Systems},
  year =                {2008},
  school =              {Deparment of Information Technology, Uppsala
                         University, Sweden},
}
[GRS00] Valérie Gouranton, Pierre Réty et Helmut Seidl. Synchronized Tree Languages Revisited and New Applications. Research Report 2000-16, Lab. Informatique Fondamentale d'Orléans, France, 2000.
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  author =              {Gouranton, Val{\'e}rie and R{\'e}ty, Pierre and
                         Seidl, Helmut},
  title =               {Synchronized Tree Languages Revisited and New
                         Applications},
  number =              {2000-16},
  year =                {2000},
  institution =         {Lab.~Informatique Fondamentale d'Orl{\'e}ans,
                         France},
  type =                {Research Report},
}
[GRS01] Valérie Gouranton, Pierre Réty et Helmut Seidl. Synchronized Tree Languages Revisited and New Applications. In FoSSaCS'01, Lecture Notes in Computer Science 2030, pages 214-229. Springer-Verlag, avril 2001.
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                         Applications},
  editor =              {Honsell, Furio and Miculan, Marino},
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                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'01)},
  acronym =             {{FoSSaCS}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2030},
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                         of {T}imed {S}ystems ({FORMATS}'11)},
  acronym =             {{FORMATS}'11},
  publisher =           {Springer-Verlag},
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  pages =               {209-224},
  year =                {2011},
  month =               sep,
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  acronym =             {{GandALF}'11},
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                         ({CAV}'05)},
  acronym =             {{CAV}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
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  publisher =           {Elsevier},
  journal =             {Journal of Computer and System Sciences},
  volume =              {72},
  number =              {1},
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  volume =              {21},
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  booktitle =           {{P}roceedings of the 6th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'94)},
  acronym =             {{CAV}'94},
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  acronym =             {{CAV}'09},
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  volume =              {5643},
  pages =               {291-305},
  year =                {2009},
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[GSZ09] Paul Gastin, Tali Sznajder et Marc Zeitoun. Distributed synthesis for well-connected architectures. Formal Methods in System Design 34(3):215-237. Springer-Verlag, juin 2009.
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[GTK05] Shafi Goldwasser et Yael Tauman Kalai. On the Impossibility of Obfuscation with Auxiliary Input. In FOCS'05, pages 553-562. IEEE Comp. Soc. Press, octobre 2005.
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                         {F}oundations of {C}omputer {S}cience ({FOCS}'05)},
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[GTW02] Erich Grädel, Wolfgang Thomas et Thomas Wilke. Automata Logics, and Infinite Games – A Guide to Current Research. Lecture Notes in Computer Science 2500. Springer-Verlag, 2002.
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                         Current Research},
  editor =              {Gr{\"a}del, Erich and Thomas, Wolfgang and Wilke,
                         Thomas},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2500},
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}
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@article{tcs345(1)-GV,
  author =              {Geldenhuys, Jaco and Valmari, Antti},
  title =               {More Efficient On-the-fly {LTL} Verification with
                         {T}arjan's Algorithm},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {345},
  number =              {1},
  pages =               {60-82},
  year =                {2005},
  month =               nov,
}
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  author =              {Gimbert, Hugo and Zielonka, Wies{\l}aw},
  title =               {When Can You Play Positionnaly?},
  editor =              {Fiala, Ji{\v r}{\'\i} and Koubek, V{\'a}clav and
                         Kratoch{\'\i}l, Jan},
  booktitle =           {{P}roceedings of the 29th {I}nternational
                         {S}ymposium on {M}athematical {F}oundations of
                         {C}omputer {S}cience ({MFCS}'04)},
  acronym =             {{MFCS}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3153},
  pages =               {686-697},
  year =                {2004},
  month =               aug,
}
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@inproceedings{concur2005-GZ,
  author =              {Gimbert, Hugo and Zielonka, Wies{\l}aw},
  title =               {Games Where You Can Play Optimally Without Any
                         Memory},
  editor =              {Abadi, Mart{\'\i}n and de Alfaro, Luca},
  booktitle =           {{P}roceedings of the 16th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'05)},
  acronym =             {{CONCUR}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3653},
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  month =               aug,
  doi =                 {10.1007/11539452_33},
}
H
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  author =              {Haase, Christoph},
  title =               {On the Complexity of Model Checking Counter
                         Automata},
  year =                {2012},
  month =               jan,
  school =              {University of Oxford, UK},
}
[HAB02] William Hesse, Eric Allender et David A. Mix Barrington. Uniform constant-depth threshold circuits for division and iterated multiplication. Journal of Computer and System Sciences 65(4):695-716. Academic Press, décembre 2002.
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  author =              {Hesse, William and Allender, Eric and Barrington,
                         David A. Mix},
  title =               {Uniform constant-depth threshold circuits for
                         division and iterated multiplication},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
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  number =              {4},
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}
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  author =              {Haddad, Serge},
  title =               {Memoryless determinacy of finite parity games:
                         Another simple proof},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {132},
  pages =               {19-21},
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  month =               apr,
  doi =                 {10.1016/j.ipl.2017.11.012},
}
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@book{Had20-IEDES,
  author =              {Hadjicostis, Christoforos N.},
  title =               {Estimation and Inference in Discrete Event
                         Systems~-- A~model-based approach with finite
                         automata},
  publisher =           {Springer-Verlag},
  series =              {Communications and Control Engineering},
  year =                {2020},
}
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                         Writes},
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                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'11)},
  acronym =             {{FSTTCS}'11},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {13},
  pages =               {457-468},
  year =                {2011},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2011.457},
}
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}
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                         and {M}odels for {C}o-{D}esign ({MEMOCODE}'05)},
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}
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  author =              {Harsanyi, John C.},
  title =               {Games with incomplete information played by
                         {"}{B}ayesian{"} players~-- (I)~The~basic model},
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@article{adm24()-Har,
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                         Highly Understandable},
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}
[Har05] Aidan Harding. Symbolic Strategy Synthesis for Games with LTL Winning Conditions. PhD thesis, School of Computer Science, University of Birmingham, UK, Mars 2005.
@phdthesis{phd-harding,
  author =              {Harding, Aidan},
  title =               {Symbolic Strategy Synthesis for Games with {LTL}
                         Winning Conditions},
  year =                {2005},
  month =               mar,
  school =              {School of Computer Science, University of
                         Birmingham, UK},
}
[HBL+03] Martijn Hendriks, Gerd Behrmann, Kim Guldstrand Larsen, Peter Niebert et Frits Vaandrager. Adding Symmetry Reduction to Uppaal. In FORMATS'03, Lecture Notes in Computer Science 2791. Springer-Verlag, septembre 2003.
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                         Guldstrand and Niebert, Peter and Vaandrager, Frits},
  title =               {Adding Symmetry Reduction to {U}ppaal},
  editor =              {Larsen, Kim Guldstrand and Niebert, Peter},
  booktitle =           {{R}evised {P}apers of the 1st {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'03)},
  acronym =             {{FORMATS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2791},
  year =                {2003},
  month =               sep,
}
[HBM+10] Paul Hunter, Patricia Bouyer, Nicolas Markey, Joël Ouaknine et James Worrell. Computing Rational Radical Sums in Uniform TC0. In FSTTCS'10, Leibniz International Proceedings in Informatics 8, pages 308-316. Leibniz-Zentrum für Informatik, décembre 2010.
Résumé

A fundamental problem in numerical computation and computational geometry is to determine the sign of arithmetic expressions in radicals. Here we consider the simpler problem of deciding whether i=1m Ci . AiXi is zero for given rational numbers Ai, CiXi. It has been known for almost twenty years that this can be decided in polynomial time. In this paper we improve this result by showing membership in uniform TC0. This requires several significant departures from Blömer's polynomial-time algorithm as the latter crucially relies on primitives, such as gcd computation and binary search, that are not known to be in TC0.

@inproceedings{fsttcs2010-HBMOW,
  author =              {Hunter, Paul and Bouyer, Patricia and Markey,
                         Nicolas and Ouaknine, Jo{\"e}l and Worrell, James},
  title =               {Computing Rational Radical Sums in Uniform
                         {TC\textsuperscript{0}}},
  editor =              {Lodaya, Kamal and Mahajan, Meena},
  booktitle =           {{P}roceedings of the 30th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'10)},
  acronym =             {{FSTTCS}'10},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {8},
  pages =               {308-316},
  year =                {2010},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2010.308},
  abstract =            {A~fundamental problem in numerical computation and
                         computational geometry is to determine the sign of
                         arithmetic expressions in radicals. Here we consider
                         the simpler problem of deciding whether
                         \(\sum_{i=1}^m C_i \cdot A_i^{X_i}\) is zero for
                         given rational numbers~\(A_i\), \(C_i\),~\(X_i\).
                         It~has been known for almost twenty years that this
                         can be decided in polynomial time. In this paper we
                         improve this result by showing membership in uniform
                         \(\textsf{TC}^0\). This requires several significant
                         departures from Bl{\"o}mer's polynomial-time
                         algorithm as the latter crucially relies on
                         primitives, such as gcd computation and binary
                         search, that are not known to be
                         in~\(\textsf{TC}^0\).},
}
[HCC+00] Vicky Hartonas-Garmhausen, Sérgio Vale Aguiar Campos, Alessandro Cimatti, Edmund M. Clarke et Fausto Giunchiglia. Verification of a Safety-Critical Railway Interlocking System with Real-Time Constraints. Science of Computer Programming 36(1):53-64. Elsevier, janvier 2000.
@article{scp36(1)-HCCCG,
  author =              {Hartonas{-}Garmhausen, Vicky and Campos, S{\'e}rgio
                         Vale Aguiar and Cimatti, Alessandro and Clarke,
                         Edmund M. and Giunchiglia, Fausto},
  title =               {Verification of a Safety-Critical Railway
                         Interlocking System with Real-Time Constraints},
  publisher =           {Elsevier},
  journal =             {Science of Computer Programming},
  volume =              {36},
  number =              {1},
  pages =               {53-64},
  year =                {2000},
  month =               jan,
}
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@incollection{CTTCS-HCK,
  author =              {Hartmanis, Juris and Chang, Richard and Kadin, Jim
                         and Mitchell, Stephen G.},
  title =               {Some Observation about Relativization of Space
                         Bounded Computations},
  editor =              {Rozenberg, Grzegorz and Salomaa, Arto},
  booktitle =           {Current Trends in Theoretical Computer Science},
  publisher =           {World Scientific},
  series =              {World Scientific Series in Computer Science},
  volume =              {40},
  pages =               {423-433},
  year =                {1993},
}
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                         Query Order},
  year =                {1998},
  school =              {Friedrich-Schiller Universit{\"a}t Jena, Germany},
}
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                         Real-Time Systems},
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}
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  author =              {Henzinger, Thomas A.},
  title =               {The Theory of Hybrid Automata},
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                         {L}ogic in {C}omputer {S}cience ({LICS}'96)},
  acronym =             {{LICS}'96},
  publisher =           {IEEE Comp. Soc. Press},
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[Hen98] Thomas A. Henzinger. It's About Time: Real-Time Logics Reviewed. In CONCUR'98, Lecture Notes in Computer Science 1466, pages 439-454. Springer-Verlag, septembre 1998.
@inproceedings{concur1998-Hen,
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  title =               {It's About Time: Real-Time Logics Reviewed},
  editor =              {Sangiorgi, Davide and de Simone, Robert},
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                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'98)},
  acronym =             {{CONCUR}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1466},
  pages =               {439-454},
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  month =               sep,
}
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  author =              {Henzinger, Thomas A.},
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                         {T}heoretical {A}spects of {R}ationality and
                         {K}nowledge ({TARK}'05)},
  acronym =             {{TARK}'05},
  pages =               {1-4},
  year =                {2005},
  month =               jun,
}
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  author =              {Henzinger, Thomas A.},
  title =               {Quantitative Reactive Models},
  editor =              {France, Robert B. and Kazmeier, J{\"u}rgen and Breu,
                         Ruth and Atkinson, Colin},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {M}odel {D}riven {E}ngineering
                         {L}anguages and {S}ystems ({MODELS}'12)},
  acronym =             {{MODELS}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7590},
  pages =               {1-2},
  year =                {2012},
  month =               sep,
  doi =                 {10.1007/978-3-642-33666-9_1},
}
[Hen13] Thomas A. Henzinger. Quantitative reactive modeling and verification. Computer Science – Research and Development 28(4):331-344. Novembre 2013.
@article{csrd28(4)-Hen,
  author =              {Henzinger, Thomas A.},
  title =               {Quantitative reactive modeling and verification},
  journal =             {Computer Science~-- Research and Development},
  volume =              {28},
  number =              {4},
  pages =               {331-344},
  year =                {2013},
  month =               nov,
  doi =                 {10.1007/s00450-013-0251-7},
}
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  author =              {Herrmann, {\relax Ph}ilippe},
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  number =              {6},
  pages =               {313-318},
  year =                {1998},
  month =               mar,
}
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@phdthesis{phd-hesse,
  author =              {Hesse, William},
  title =               {Dynamic Computational Complexity},
  year =                {2003},
  month =               sep,
  school =              {Department of Computer Science, University of
                         Massachusetts at Amherst, USA},
}
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@inproceedings{concur1999-HHM,
  author =              {Henzinger, Thomas A. and Horowitz, Benjamin and
                         Majumdar, Rupak},
  title =               {Rectangular Hybrid Games},
  editor =              {Baeten, Jos C. M. and Mauw, Sjouke},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'99)},
  acronym =             {{CONCUR}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1664},
  pages =               {320-335},
  year =                {1999},
  month =               aug,
}
[HvdH+03] Paul Harrenstein, Wiebe van der Hoek, John-Jules Meyer et Cees Witteveen. A Modal Characterization of Nash Equilibrium. Fundamenta Informaticae 57(2-4):281-321. IOS Press, 2003.
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  author =              {Harrenstein, Paul and van der Hoek, Wiebe and Meyer,
                         John-Jules and Witteveen, Cees},
  title =               {A Modal Characterization of {N}ash Equilibrium},
  publisher =           {IOS Press},
  journal =             {Fundamenta Informaticae},
  volume =              {57},
  number =              {2-4},
  pages =               {281-321},
  year =                {2003},
}
[HHW95] Thomas A. Henzinger, Pei-Hsin Ho et Howard Wong-Toi. A User Guide to HyTech. In TACAS'95, Lecture Notes in Computer Science 1019, pages 41-71. Springer-Verlag, mai 1995.
@inproceedings{tacas1995-HHW,
  author =              {Henzinger, Thomas A. and Ho, Pei-Hsin and
                         Wong{-}Toi, Howard},
  title =               {A~User Guide to {H}y{T}ech},
  editor =              {Brinksma, Ed and Cleaveland, Rance and Larsen, Kim
                         Guldstrand and Margaria, Tiziana and Steffen,
                         Bernhard},
  booktitle =           {{P}roceedings of the 1st {I}nternational {W}orkshop
                         on {T}ools and {A}lgorithms for {C}onstruction and
                         {A}nalysis of {S}ystems ({TACAS}'95)},
  acronym =             {{TACAS}'95},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1019},
  pages =               {41-71},
  year =                {1995},
  month =               may,
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}
[HHW97] Thomas A. Henzinger, Pei-Hsin Ho et Howard Wong-Toi. HyTech: A Model-Checker for Hybrid Systems. International Journal on Software Tools for Technology Transfer 1(1-2):110-122. Springer-Verlag, octobre 1997.
@article{sttt1(1-2)-HHW,
  author =              {Henzinger, Thomas A. and Ho, Pei-Hsin and
                         Wong{-}Toi, Howard},
  title =               {{H}y{T}ech: A~Model-Checker for Hybrid Systems},
  publisher =           {Springer-Verlag},
  journal =             {International Journal on Software Tools for
                         Technology Transfer},
  volume =              {1},
  number =              {1-2},
  pages =               {110-122},
  year =                {1997},
  month =               oct,
}
[HI02] William Hesse et Neil Immerman. Complete Problems for Dynamic Complexity Classes. In LICS'02, pages 313-322. IEEE Comp. Soc. Press, juillet 2002.
@inproceedings{lics2002-HI,
  author =              {Hesse, William and Immerman, Neil},
  title =               {Complete Problems for Dynamic Complexity Classes},
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                         {L}ogic in {C}omputer {S}cience ({LICS}'02)},
  acronym =             {{LICS}'02},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {313-322},
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  month =               jul,
}
[Hig52] Graham Higman. Ordering by Divisibility in Abstract Algebras. Proceedings of the London Mathematical Society s3-2(1):326-336. 1952.
@article{plms-s3-2(1)-Hig,
  author =              {Higman, Graham},
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  journal =             {Proceedings of the London Mathematical Society},
  volume =              {s3-2},
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}
[HIM12] Thomas Dueholm Hansen, Rasmus Ibsen-Jensen et Peter Bro Miltersen. A Faster Algorithm for Solving One-Clock Priced Timed Games. Research Report 1201.3498, arXiv, janvier 2012.
@techreport{arxiv12-HIM,
  author =              {Hansen, Thomas Dueholm and Ibsen{-}Jensen, Rasmus
                         and Miltersen, Peter Bro},
  title =               {A~Faster Algorithm for Solving One-Clock Priced
                         Timed Games},
  number =              {1201.3498},
  year =                {2012},
  month =               jan,
  institution =         {arXiv},
  type =                {Research Report},
}
[HIM13] Thomas Dueholm Hansen, Rasmus Ibsen-Jensen et Peter Bro Miltersen. A Faster Algorithm for Solving One-Clock Priced Timed Games. In CONCUR'13, Lecture Notes in Computer Science 8052, pages 531-545. Springer-Verlag, août 2013.
@inproceedings{concur2013-HIM,
  author =              {Hansen, Thomas Dueholm and Ibsen{-}Jensen, Rasmus
                         and Miltersen, Peter Bro},
  title =               {A~Faster Algorithm for Solving One-Clock Priced
                         Timed Games},
  editor =              {D{'}Argenio, Pedro R. and Melgratt, Hern{\'a}n C.},
  booktitle =           {{P}roceedings of the 24th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'13)},
  acronym =             {{CONCUR}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8052},
  pages =               {531-545},
  year =                {2013},
  month =               aug,
}
[HJ96] Dang Van Hung et Wang Ji. On the Design of Hybrid Control Systems Using Automata Models. In FSTTCS'96, Lecture Notes in Computer Science 1180, pages 156-176. Springer-Verlag, décembre 1996.
@inproceedings{fsttcs1996-HJ,
  author =              {Hung, Dang Van and Ji, Wang},
  title =               {On the Design of Hybrid Control Systems Using
                         Automata Models},
  editor =              {Chandru, Vijay and Vinay, V.},
  booktitle =           {{P}roceedings of the 16th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'96)},
  acronym =             {{FSTTCS}'96},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1180},
  pages =               {156-176},
  year =                {1996},
  month =               dec,
}
[HJ04] Gerard J. Holzmann et Rajeev Joshi. Model-Driven Software Verification. In SPIN'04, Lecture Notes in Computer Science 2989, pages 76-91. Springer-Verlag, avril 2004.
@inproceedings{spin2004-HJ,
  author =              {Holzmann, Gerard J. and Joshi, Rajeev},
  title =               {Model-Driven Software Verification},
  editor =              {Graf, Susanne and Mounier, Laurent},
  booktitle =           {{P}roceedings of the 11th {I}nternational {SPIN}
                         {W}orkshop ({SPIN}'04)},
  acronym =             {{SPIN}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2989},
  pages =               {76-91},
  year =                {2004},
  month =               apr,
  doi =                 {10.1007/978-3-540-24732-6_6},
}
[HJM03] Thomas A. Henzinger, Ranjit Jhala et Rupak Majumdar. Counterexample-Guided Control. In ICALP'03, Lecture Notes in Computer Science 2719, pages 886-902. Springer-Verlag, juin 2003.
@inproceedings{icalp2003-HJM,
  author =              {Henzinger, Thomas A. and Jhala, Ranjit and Majumdar,
                         Rupak},
  title =               {Counterexample-Guided Control},
  editor =              {Baeten, Jos C. M. and Lenstra, Jan Karel and Parrow,
                         Joachim and Woeginger, Gerhard J.},
  booktitle =           {{P}roceedings of the 30th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'03)},
  acronym =             {{ICALP}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2719},
  pages =               {886-902},
  year =                {2003},
  month =               jun,
}
[HJM18] Léo Henry, Thierry Jéron et Nicolas Markey. Control strategies for off-line testing of timed systems. In SPIN'18, Lecture Notes in Computer Science 10869, pages 171-189. Springer-Verlag, juin 2018.
Résumé

Partial observability and controllability are two well-known issues in test-case synthesis for interactive systems. We address the problem of partial control in the synthesis of test cases from timed-automata specifications. Building on the tioco timed testing framework, we extend a previous game interpretation of the test-synthesis problem from the untimed to the timed setting. This extension requires a deep reworking of the models, game interpretation and test-synthesis algorithms. We exhibit strategies of a game that tries to minimize both control losses and distance to the satisfaction of a test purpose, and prove they are winning under some fairness assumptions. This entails that when turning those strategies into test cases, we get properties such as soundness and exhaustiveness of the test synthesis method.

@inproceedings{spin2018-HJM,
  author =              {Henry, L{\'e}o and J{\'e}ron, Thierry and Markey,
                         Nicolas},
  title =               {Control strategies for off-line testing of timed
                         systems},
  editor =              {Gallardo, Mar{\'\i}a-del-Mar and Merino, Pedro},
  booktitle =           {{P}roceedings of the 25th {I}nternational
                         {S}ymposium on {M}odel-{C}herking {S}oftware
                         ({SPIN}'18)},
  acronym =             {{SPIN}'18},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {10869},
  pages =               {171-189},
  year =                {2018},
  month =               jun,
  doi =                 {10.1007/978-3-319-94111-0_10},
  abstract =            {Partial observability and controllability are two
                         well-known issues in test-case synthesis for
                         interactive systems. We~address the problem of
                         partial control in the synthesis of test cases from
                         timed-automata specifications. Building on the tioco
                         timed testing framework, we~extend a previous game
                         interpretation of the test-synthesis problem from
                         the untimed to the timed setting. This extension
                         requires a deep reworking of the models, game
                         interpretation and test-synthesis algorithms.
                         We~exhibit strategies of a game that tries to
                         minimize both control losses and distance to the
                         satisfaction of a test purpose, and prove they are
                         winning under some fairness assumptions. This
                         entails that when turning those strategies into test
                         cases, we get properties such as soundness and
                         exhaustiveness of the test synthesis method.},
}
[HJM20] Léo Henry, Thierry Jéron et Nicolas Markey. Active learning of timed automata with unobservable resets. In FORMATS'20, Lecture Notes in Computer Science 12288, pages 144-160. Springer-Verlag, septembre 2020.
Résumé

Active learning of timed languages is concerned with the inference of timed automata by observing some of the timed words in their languages. The learner can query for the membership of words in the language, or propose a candidate model and ask if it is equivalent to the target. The major difficulty of this framework is the inference of clock resets, which are central to the dynamics of timed automata but not directly observable.

Interesting first steps have already been made by restricting to the subclass of event-recording automata, where clock resets are tied to observations. In order to advance towards learning of general timed automata, we generalize this method to a new class, called reset-free event-recording automata, where some transitions may reset no clocks.

Central to our contribution is the notion of invalidity, and the algorithm and data structures to deal with it, allowing on-the-fly detection and pruning of reset hypotheses that contradict observations. This notion is a key to any efficient active-learning procedure for generic timed automata.

@inproceedings{formats2020-HJM,
  author =              {Henry, L{\'e}o and J{\'e}ron, Thierry and Markey,
                         Nicolas},
  title =               {Active learning of timed automata with unobservable
                         resets},
  editor =              {Bertrand, Nathalie and Jansen, Nils},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'20)},
  acronym =             {{FORMATS}'20},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {12288},
  pages =               {144-160},
  year =                {2020},
  month =               sep,
  doi =                 {10.1007/978-3-030-57628-8_9},
  abstract =            {Active learning of timed languages is concerned with
                         the inference of timed automata by observing some of
                         the timed words in their languages. The learner can
                         query for the membership of words in the language,
                         or propose a candidate model and ask if it is
                         equivalent to the target. The major difficulty of
                         this framework is the inference of clock resets,
                         which are central to the dynamics of timed automata
                         but not directly observable. \par Interesting first
                         steps have already been made by restricting to the
                         subclass of event-recording automata, where clock
                         resets are tied to observations. In order to advance
                         towards learning of general timed automata, we
                         generalize this method to a new class, called
                         reset-free event-recording automata, where some
                         transitions may reset no clocks. \par Central to our
                         contribution is the notion of invalidity, and the
                         algorithm and data structures to deal with it,
                         allowing on-the-fly detection and pruning of reset
                         hypotheses that contradict observations. This notion
                         is a key to any efficient active-learning procedure
                         for generic timed automata.},
}
[HJM22] Léo Henry, Thierry Jéron et Nicolas Markey. Control strategies for off-line testing of timed systems. Formal Methods in System Design 60(2):147-194. Springer-Verlag, avril 2022.
Résumé

Partial observability and controllability are two well-known issues in test-case synthesis for reactive systems. We address the problem of partial control in the synthesis of test cases from timed-automata specifications. We extend a previous approach to this problem from the untimed to the timed setting. This extension requires a deep reworking of the models, game interpretation and test-synthesis algorithms. We exhibit strategies of a game that try to minimize both cooperations of the system and distance to the satisfaction of a test purpose or to the next cooperation, and prove they are winning under some fairness assumptions. This entails that when turning those strategies into test cases, we get properties such as soundness and exhaustiveness of the test synthesis method. We finally propose a symbolic algorithm to compute those strategies.

@article{fmsd60(2)-HJM,
  author =              {Henry, L{\'e}o and J{\'e}ron, Thierry and Markey,
                         Nicolas},
  title =               {Control strategies for off-line testing of timed
                         systems},
  publisher =           {Springer-Verlag},
  journal =             {Formal Methods in System Design},
  volume =              {60},
  number =              {2},
  pages =               {147-194},
  year =                {2022},
  month =               apr,
  doi =                 {10.1007/s10703-022-00403-w},
  abstract =            {Partial observability and controllability are two
                         well-known issues in test-case synthesis for
                         reactive systems. We address the problem of partial
                         control in the synthesis of test cases from
                         timed-automata specifications. We extend a previous
                         approach to this problem from the untimed to the
                         timed setting. This extension requires a deep
                         reworking of the models, game interpretation and
                         test-synthesis algorithms. We exhibit strategies of
                         a game that try to minimize both cooperations of the
                         system and distance to the satisfaction of a test
                         purpose or to the next cooperation, and prove they
                         are winning under some fairness assumptions. This
                         entails that when turning those strategies into test
                         cases, we get properties such as soundness and
                         exhaustiveness of the test synthesis method. We
                         finally propose a symbolic algorithm to compute
                         those strategies.},
}
[HJM+04] Thomas A. Henzinger, Ranjit Jhala, Rupak Majumdar et Kenneth L. McMillan. Abstractions from Proofs. In POPL'04, pages 232-244. ACM Press, janvier 2004.
@inproceedings{popl2004-HJMM,
  author =              {Henzinger, Thomas A. and Jhala, Ranjit and Majumdar,
                         Rupak and McMillan, Kenneth L.},
  title =               {Abstractions from Proofs},
  editor =              {Jones, Neil D. and Leroy, Xavier},
  booktitle =           {Conference Record of the 31st {ACM}
                         {SIGPLAN}-{SIGACT} {S}ymposium on {P}rinciples of
                         {P}rogramming {L}anguages ({POPL}'04)},
  acronym =             {{POPL}'04},
  publisher =           {ACM Press},
  pages =               {232-244},
  year =                {2004},
  month =               jan,
}
[HJM+24] Léo Henry, Thierry Jéron, Nicolas Markey et Victor Roussanaly. Distributed Monitoring of Timed Properties. In RV'24, Lecture Notes in Computer Science 15191, pages 243-261. Springer-Verlag, octobre 2024.
Résumé

In formal verification, runtime monitoring consists of observing the execution of a system in order to decide as quickly as possible whether or not it satisfies a given property. We consider monitoring in a distributed setting, for properties given as reachability timed automata. In such a setting, the system is made of several components, each equipped with its own local clock and monitor. The monitors observe events occurring on their associated component, and receive timestamped events from other monitors through FIFO channels. Since clocks are local, they cannot be perfectly synchronized, resulting in imprecise timestamps. Consequently, they must be seen as intervals, leading monitors to consider possible reorderings of events. In this context, each monitor aims to provide, as early as possible, a verdict on the property it is monitoring, based on its potentially incomplete and imprecise knowledge of the current execution. In this paper, we propose an on-line monitoring algorithm for timed properties, robust to time imprecision and partial information from distant components. We first identify the date at which a monitor can safely compute a verdict based on received events. We then propose a monitoring algorithm that updates this date when new information arrives, maintains the current set of states in which the property can reside, and updates its verdict accordingly.

@inproceedings{rv2024-HJMR,
  author =              {Henry, L{\'e}o and J{\'e}ron, Thierry and Markey,
                         Nicolas and Roussanaly, Victor},
  title =               {Distributed Monitoring of Timed Properties},
  editor =              {{\'A}brah{\'a}m, Erikz and Abbas, Houssam},
  booktitle =           {{P}roceedings of the 24th {I}nternational {W}orkshop
                         on {R}untime {V}erification ({RV}'24)},
  acronym =             {{RV}'24},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {15191},
  pages =               {243-261},
  year =                {2024},
  month =               oct,
  doi =                 {10.1007/978-3-031-74234-7_16},
  abstract =            {In formal verification, runtime monitoring consists
                         of observing the execution of a system in order to
                         decide as quickly as possible whether or not it
                         satisfies a given property. We consider monitoring
                         in a distributed setting, for properties given as
                         reachability timed automata. In~such a setting,
                         the~system is made of several components, each
                         equipped with its own local clock and monitor.
                         The~monitors observe events occurring on their
                         associated component, and receive timestamped events
                         from other monitors through FIFO channels. Since
                         clocks are local, they cannot be perfectly
                         synchronized, resulting in imprecise timestamps.
                         Consequently, they must be seen as intervals,
                         leading monitors to consider possible reorderings of
                         events. In this context, each monitor aims to
                         provide, as early as possible, a verdict on the
                         property it is monitoring, based on its potentially
                         incomplete and imprecise knowledge of the current
                         execution. In~this~paper, we~propose an on-line
                         monitoring algorithm for timed properties, robust to
                         time imprecision and partial information from
                         distant components. We~first identify the date at
                         which a monitor can safely compute a verdict based
                         on received events. We~then propose a monitoring
                         algorithm that updates this date when new
                         information arrives, maintains the current set of
                         states in which the property can reside, and updates
                         its verdict accordingly.},
}
[HJM+02] Thomas A. Henzinger, Ranjit Jhala, Rupak Majumdar et Grégoire Sutre. Lazy abstraction. In POPL'02, ACM SIGPLAN Notices 37(1), pages 58-70. ACM Press, janvier 2002.
@inproceedings{popl2002-HJMS,
  author =              {Henzinger, Thomas A. and Jhala, Ranjit and Majumdar,
                         Rupak and Sutre, Gr{\'e}goire},
  title =               {Lazy abstraction},
  booktitle =           {Conference Record of the 29th {ACM}
                         {SIGPLAN}-{SIGACT} {S}ymposium on {P}rinciples of
                         {P}rogramming {L}anguages ({POPL}'02)},
  acronym =             {{POPL}'02},
  publisher =           {ACM Press},
  series =              {ACM SIGPLAN Notices},
  volume =              {37},
  number =              {1},
  pages =               {58-70},
  year =                {2002},
  month =               jan,
}
[HJM+03] Thomas A. Henzinger, Ranjit Jhala, Rupak Majumdar et Grégoire Sutre. Software verification with BLAST. In SPIN'03, Lecture Notes in Computer Science 2648, pages 235-239. Springer-Verlag, avril 2003.
@inproceedings{spin2003-HJMS,
  author =              {Henzinger, Thomas A. and Jhala, Ranjit and Majumdar,
                         Rupak and Sutre, Gr{\'e}goire},
  title =               {Software verification with {BLAST}},
  editor =              {Ball, Thomas and Rajamani, Sriram},
  booktitle =           {{P}roceedings of the 10th {I}nternational {SPIN}
                         {W}orkshop ({SPIN}'03)},
  acronym =             {{SPIN}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2648},
  pages =               {235-239},
  year =                {2003},
  month =               apr,
}
[HJR02] Alan J. Hoffman, Kate Jenkins et Tim Roughgarden. On a game in directed graphs. Information Processing Letters 83(1):13-16. Elsevier, juillet 2002.
@article{ipl83(1)-HJR,
  author =              {Hoffman, Alan J. and Jenkins, Kate and Roughgarden,
                         Tim},
  title =               {On a game in directed graphs},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {83},
  number =              {1},
  pages =               {13-16},
  year =                {2002},
  month =               jul,
}
[vdH+05] Wiebe van der Hoek, Wojciech Jamroga et Michael Wooldridge. A Logic for Strategic Reasoning. In AAMAS'05, pages 157-164. ACM Press, juillet 2005.
@inproceedings{aamas2005-HJW,
  author =              {van der Hoek, Wiebe and Jamroga, Wojciech and
                         Wooldridge, Michael},
  title =               {A Logic for Strategic Reasoning},
  editor =              {Dignum, Franck and Dignum, Virginia and Koenig, Sven
                         and Kraus, Sarit and Singh, Munindar P. and
                         Wooldridge, Michael},
  booktitle =           {{P}roceedings of the 4th {I}nternational {J}oint
                         {C}onference on {A}utonomous {A}gents and
                         {M}ultiagent {S}ystems ({AAMAS}'05)},
  acronym =             {{AAMAS}'05},
  publisher =           {ACM Press},
  pages =               {157-164},
  year =                {2005},
  month =               jul,
}
[HK94] Joseph Y. Halpern et Bruce M. Kapron. Zero-one laws for modal logic. Annals of Pure and Applied Logic 69(2-3):157-193. Elsevier, octobre 1994.
@article{apal69(2-3)-HK,
  author =              {Halpern, Joseph Y. and Kapron, Bruce M.},
  title =               {Zero-one laws for modal logic},
  publisher =           {Elsevier},
  journal =             {Annals of Pure and Applied Logic},
  volume =              {69},
  number =              {2-3},
  pages =               {157-193},
  year =                {1994},
  month =               oct,
}
[HK97] Thomas A. Henzinger et Orna Kupferman. From Quantity to Quality. In HART'97, Lecture Notes in Computer Science 1201, pages 48-62. Springer-Verlag, mars 1997.
@inproceedings{hart1997-HK,
  author =              {Henzinger, Thomas A. and Kupferman, Orna},
  title =               {From Quantity to Quality},
  editor =              {Maler, Oded},
  booktitle =           {{P}roceedings of the 1997 {I}nternational {W}orkshop
                         on {H}ybrid and {R}eal-Time {S}ystems ({HART}'97)},
  acronym =             {{HART}'97},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1201},
  pages =               {48-62},
  year =                {1997},
  month =               mar,
}
[HK99] Thomas A. Henzinger et Peter W. Kopke. Discrete-Time Control for Rectangular Hybrid Systems. Theoretical Computer Science 221(1-2):369-392. Elsevier, juin 1999.
@article{tcs221(1-2)-HK,
  author =              {Henzinger, Thomas A. and Kopke, Peter W.},
  title =               {Discrete-Time Control for Rectangular Hybrid
                         Systems},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {221},
  number =              {1-2},
  pages =               {369-392},
  year =                {1999},
  month =               jun,
}
[HK16] Loïc Hélouët et Karim Kecir. Realizability of Schedules by Stochastic Time Petri Nets with Blocking Semantics. In PETRI NETS'16, Lecture Notes in Computer Science 9698, pages 155-175. Springer-Verlag, juin 2016.
@inproceedings{pn2016-HK,
  author =              {H{\'e}lou{\"e}t, Lo{\"\i}c and Kecir, Karim},
  title =               {Realizability of Schedules by Stochastic Time
                         {P}etri Nets with Blocking Semantics},
  editor =              {Kordon, Fabrice and Moldt, Daniel},
  booktitle =           {{P}roceedings of the 37th {I}nternational
                         {C}onference on {A}pplications and {T}heory of
                         {P}etri Nets and {C}oncurrency ({PETRI NETS}'16)},
  acronym =             {{PETRI~NETS}'16},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9698},
  pages =               {155-175},
  year =                {2016},
  month =               jun,
  doi =                 {10.1007/978-3-319-39086-4_11},
}
[HK23] Émile Hazard et Denis Kuperberg. Explorable automata. In CSL'23, Leibniz International Proceedings in Informatics 252, pages 24:1-24:18. Leibniz-Zentrum für Informatik, février 2023.
@inproceedings{csl2023-HK,
  author =              {Hazard, {\'E}mile and Kuperberg, Denis},
  title =               {Explorable automata},
  editor =              {Klin, Bartek and Pimentel, Elaine},
  booktitle =           {{P}roceedings of the 31st {EACSL} {A}nnual
                         {C}onference on {C}omputer {S}cience {L}ogic
                         ({CSL}'23)},
  acronym =             {{CSL}'23},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {252},
  pages =               {24:1-24:18},
  year =                {2023},
  month =               feb,
  doi =                 {10.4230/LIPIcs.CSL.2023.24},
}
[HKM03] Thomas A. Henzinger, Orna Kupferman et Rupak Majumdar. On the Universal and Existential Fragments of the μ-Calculus. In TACAS'03, Lecture Notes in Computer Science 2619, pages 49-64. Springer-Verlag, avril 2003.
@inproceedings{tacas2003-HKM,
  author =              {Henzinger, Thomas A. and Kupferman, Orna and
                         Majumdar, Rupak},
  title =               {On the Universal and Existential Fragments of the
                         {\(\mu\)}-Calculus},
  editor =              {Garavel, Hubert and Hatcliff, John},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'03)},
  acronym =             {{TACAS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2619},
  pages =               {49-64},
  year =                {2003},
  month =               apr,
}
[HKN+06] Andrew Hinton, Marta Kwiatkowska, Gethin Norman et David Parker. PRISM: A Tool for Automatic Verification of Probabilistic Systems. In TACAS'06, Lecture Notes in Computer Science 3920, pages 441-444. Springer-Verlag, mars 2006.
@inproceedings{tacas2006-HKNP,
  author =              {Hinton, Andrew and Kwiatkowska, Marta and Norman,
                         Gethin and Parker, David},
  title =               {{PRISM}: A~Tool for Automatic Verification of
                         Probabilistic Systems},
  editor =              {Hermanns, Holger and Palsberg, Jens},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'06)},
  acronym =             {{TACAS}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3920},
  pages =               {441-444},
  year =                {2006},
  month =               mar,
}
[HKO+09] Christoph Haase, Stephan Kreutzer, Joël Ouaknine et James Worrell. Reachability in Succinct and Parametric One-Counter Automata. In CONCUR'09, Lecture Notes in Computer Science 5710, pages 369-383. Springer-Verlag, septembre 2009.
@inproceedings{concur2009-HKOW,
  author =              {Haase, Christoph and Kreutzer, Stephan and Ouaknine,
                         Jo{\"e}l and Worrell, James},
  title =               {Reachability in Succinct and Parametric One-Counter
                         Automata},
  editor =              {Bravetti, Mario and Zavattaro, Gianluigi},
  booktitle =           {{P}roceedings of the 20th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'09)},
  acronym =             {{CONCUR}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5710},
  pages =               {369-383},
  year =                {2009},
  month =               sep,
  doi =                 {10.1007/978-3-642-04081-8_25},
}
[HKP82] David Harel, Dexter C. Kozen et Rohit Parikh. Process Logic: Expressiveness, Decidability and Completeness. Journal of Computer and System Sciences 25(2):144-170. Academic Press, octobre 1982.
@article{jcss25(2)-HKP,
  author =              {Harel, David and Kozen, Dexter C. and Parikh, Rohit},
  title =               {Process Logic: Expressiveness, Decidability and
                         Completeness},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
  volume =              {25},
  number =              {2},
  pages =               {144-170},
  year =                {1982},
  month =               oct,
}
[HKP+95] Thomas A. Henzinger, Peter W. Kopke, Anuj Puri et Pravin Varaiya. What is decidable about Hybrid Automata?. In STOC'95, pages 373-382. ACM Press, mai 1995.
@inproceedings{stoc1995-HKPV,
  author =              {Henzinger, Thomas A. and Kopke, Peter W. and Puri,
                         Anuj and Varaiya, Pravin},
  title =               {What is decidable about Hybrid Automata?},
  booktitle =           {{P}roceedings of the 27th {A}nnual {ACM} {S}ymposium
                         on the {T}heory of {C}omputing ({STOC}'95)},
  acronym =             {{STOC}'95},
  publisher =           {ACM Press},
  pages =               {373-382},
  year =                {1995},
  month =               may,
}
[HKP+98] Thomas A. Henzinger, Peter W. Kopke, Anuj Puri et Pravin Varaiya. What is decidable about Hybrid Automata?. Journal of Computer and System Sciences 57(1):94-124. Academic Press, août 1998.
@article{jcss57(1)-HKPV,
  author =              {Henzinger, Thomas A. and Kopke, Peter W. and Puri,
                         Anuj and Varaiya, Pravin},
  title =               {What is decidable about Hybrid Automata?},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
  volume =              {57},
  number =              {1},
  pages =               {94-124},
  year =                {1998},
  month =               aug,
}
[HKS+11] Frédéric Herbreteau, Dileep Kini, B. Srivathsan et Igor Walukiewicz. Using non-convex approximations for efficient analysis of timed automata. In FSTTCS'11, Leibniz International Proceedings in Informatics 13, pages 78-89. Leibniz-Zentrum für Informatik, décembre 2011.
@inproceedings{fsttcs2011-HKSW,
  author =              {Herbreteau, Fr{\'e}d{\'e}ric and Kini, Dileep and
                         Srivathsan, B. and Walukiewicz, Igor},
  title =               {Using non-convex approximations for efficient
                         analysis of timed automata},
  editor =              {Chakraborty, Supratik and Kumar, Amit},
  booktitle =           {{P}roceedings of the 31st {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'11)},
  acronym =             {{FSTTCS}'11},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {13},
  pages =               {78-89},
  year =                {2011},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2011.78},
}
[HKT10] Michael Holtmann, łukasz Kaiser et Wolfgang Thomas. Degrees of Lookahead in Regular Infinite Games. In FoSSaCS'10, Lecture Notes in Computer Science 6014, pages 252-266. Springer-Verlag, mars 2010.
@inproceedings{fossacs2010-HKT,
  author =              {Holtmann, Michael and Kaiser, {\L}ukasz and Thomas,
                         Wolfgang},
  title =               {Degrees of Lookahead in Regular Infinite Games},
  editor =              {Ong, Luke},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'10)},
  acronym =             {{FoSSaCS}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6014},
  pages =               {252-266},
  year =                {2010},
  month =               mar,
}
[HKV96] Thomas A. Henzinger, Orna Kupferman et Moshe Y. Vardi. A Space-Efficient On-the-fly Algorithm for Real-Time Model Checking. In CONCUR'96, Lecture Notes in Computer Science 1119, pages 514-529. Springer-Verlag, août 1996.
@inproceedings{concur1996-HKV,
  author =              {Henzinger, Thomas A. and Kupferman, Orna and Vardi,
                         Moshe Y.},
  title =               {A Space-Efficient On-the-fly Algorithm for Real-Time
                         Model Checking},
  editor =              {Montanari, Ugo and Sassone, Vladimiro},
  booktitle =           {{P}roceedings of the 7th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'96)},
  acronym =             {{CONCUR}'96},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1119},
  pages =               {514-529},
  year =                {1996},
  month =               aug,
}
[HKW95] Thomas A. Henzinger, Peter W. Kopke et Howard Wong-Toi. The expressive power of clocks. In ICALP'95, Lecture Notes in Computer Science 944, pages 417-428. Springer-Verlag, juillet 1995.
@inproceedings{icalp1995-HKW,
  author =              {Henzinger, Thomas A. and Kopke, Peter W. and
                         Wong{-}Toi, Howard},
  title =               {The expressive power of clocks},
  editor =              {F{\"u}l{\"o}p, Zolt{\'a}n and Gecseg, Ferenc},
  booktitle =           {{P}roceedings of the 22nd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'95)},
  acronym =             {{ICALP}'95},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {944},
  pages =               {417-428},
  year =                {1995},
  month =               jul,
}
[HL89] Hans Hüttel et Kim Guldstrand Larsen. The Use of Static Constructs in a Modal Process Logic. In Logic at Botik 89 – Proceedings of the Symposium on Logical Foundations of Computer Science, Lecture Notes in Computer Science 363, pages 163-180. Springer-Verlag, juillet 1989.
@inproceedings{botik89-HL,
  author =              {H{\"u}ttel, Hans and Larsen, Kim Guldstrand},
  title =               {The Use of Static Constructs in a Modal Process
                         Logic},
  editor =              {Meyer, Albert R. and Taitslin, Michael A.},
  booktitle =           {{L}ogic at {B}otik~89 -- {P}roceedings of the
                         {S}ymposium on {L}ogical {F}oundations of {C}omputer
                         {S}cience},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {363},
  pages =               {163-180},
  year =                {1989},
  month =               jul,
}
[HL02] Martijn Hendriks et Kim Guldstrand Larsen. Exact Acceleration of real-Time Model Checking. In TPTS'02, Electronic Notes in Theoretical Computer Science 65(6). Elsevier, avril 2002.
@inproceedings{tpts2002-HL,
  author =              {Hendriks, Martijn and Larsen, Kim Guldstrand},
  title =               {Exact Acceleration of real-Time Model Checking},
  editor =              {Asarin, Eugene and Maler, Oded and Yovine, Sergio},
  booktitle =           {{P}roceedings of the 1st {W}orkshop on {T}heory and
                         {P}ractice of {T}imed {S}ystems ({TPTS}'02)},
  acronym =             {{TPTS}'02},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {65},
  number =              {6},
  year =                {2002},
  month =               apr,
}
[HLL+14] Henri Hansen, Shang-Wei Lin, Yang Liu, Truong Khanh Nguyen et Jun Sun. Diamonds Are a Girl's Best Friend: Partial Order Reduction for Timed Automata with Abstractions. In CAV'14, Lecture Notes in Computer Science 8559, pages 391-406. Springer-Verlag, juillet 2014.
@inproceedings{cav2014-HLLNS,
  author =              {Hansen, Henri and Lin, Shang{-}Wei and Liu, Yang and
                         Nguyen, Truong Khanh and Sun, Jun},
  title =               {Diamonds Are a Girl's Best Friend: Partial Order
                         Reduction for Timed Automata with Abstractions},
  editor =              {Biere, Armin and Bloem, Roderick},
  booktitle =           {{P}roceedings of the 26th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'14)},
  acronym =             {{CAV}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8559},
  pages =               {391-406},
  year =                {2014},
  month =               jul,
  doi =                 {10.1007/978-3-319-08867-9_26},
}
[HLM+04] Thomas Hérault, Richard Lassaigne, Frédéric Magniette et Sylvain Peyronnet. Approximate Probabilistic Model Checking. In VMCAI'04, Lecture Notes in Computer Science 2937, pages 73-84. Springer-Verlag, janvier 2004.
@inproceedings{vmcai2004-HLMP,
  author =              {H{\'e}rault, {\relax Th}omas and Lassaigne, Richard
                         and Magniette, Fr{\'e}d{\'e}ric and Peyronnet,
                         Sylvain},
  title =               {Approximate Probabilistic Model Checking},
  editor =              {Steffen, Bernhard and Levi, Giorgio},
  booktitle =           {{P}roceedings of the 5th {I}nternational {W}orkshop
                         on {V}erification, {M}odel {C}hecking, and
                         {A}bstract {I}nterpretation ({VMCAI}'04)},
  acronym =             {{VMCAI}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2937},
  pages =               {73-84},
  year =                {2004},
  month =               jan,
}
[HLR+10] Holger Hermanns, Kim Guldstrand Larsen, Jean-François Raskin et Jan Tretmans. Quantitative system validation in model driven design. In EMSOFT'10, pages 301-302. ACM Press, octobre 2010.
@inproceedings{emsoft2010-HLRT,
  author =              {Hermanns, Holger and Larsen, Kim Guldstrand and
                         Raskin, Jean-Fran{\c c}ois and Tretmans, Jan},
  title =               {Quantitative system validation in model driven
                         design},
  editor =              {Carloni, Luca P. and Tripakis, Stavros},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {E}mbedded {S}oftware ({EMSOFT}'10)},
  acronym =             {{EMSOFT}'10},
  publisher =           {ACM Press},
  pages =               {301-302},
  year =                {2010},
  month =               oct,
}
[HLT22] Thomas A. Henzinger, Karoliina Lehtinen et Patrick Totzke. History-deterministic timed automata. In CONCUR'22, Leibniz International Proceedings in Informatics 243, pages 14:1-14:21. Leibniz-Zentrum für Informatik, septembre 2022.
@inproceedings{concur2022-HLT,
  author =              {Henzinger, Thomas A. and Lehtinen, Karoliina and
                         Totzke, Patrick},
  title =               {History-deterministic timed automata},
  editor =              {Klin, Bartek and Lasota, S{\l}awomir and Muscholl,
                         Anca},
  booktitle =           {{P}roceedings of the 33rd {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'22)},
  acronym =             {{CONCUR}'22},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {243},
  pages =               {14:1-14:21},
  year =                {2022},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CONCUR.2022.14},
}
[vdH+06] Wiebe van der Hoek, Alessio Lomuscio et Michael Wooldridge. On the Complexity of Practical ATL Model Checking. In AAMAS'06, pages 201-208. ACM Press, mai 2006.
@inproceedings{aamas2006-HLW,
  author =              {van der Hoek, Wiebe and Lomuscio, Alessio and
                         Wooldridge, Michael},
  title =               {On the Complexity of Practical {ATL} Model Checking},
  editor =              {Nakashima, Hideyuki and Wellman, Michael P. and
                         Weiss, Gerhard and Stone, Peter},
  booktitle =           {{P}roceedings of the 5th {I}nternational {J}oint
                         {C}onference on {A}utonomous {A}gents and
                         {M}ultiagent {S}ystems ({AAMAS}'06)},
  acronym =             {{AAMAS}'06},
  publisher =           {ACM Press},
  pages =               {201-208},
  year =                {2006},
  month =               may,
}
[HLW13] Andreas Herzig, Emiliano Lorini et Dirk Walther. Reasoning about Actions Meets Strategic Logics. In LORI'13, Lecture Notes in Computer Science 8196, pages 162-175. Springer-Verlag, octobre 2013.
@inproceedings{lori2013-HLW,
  author =              {Herzig, Andreas and Lorini, Emiliano and Walther,
                         Dirk},
  title =               {Reasoning about Actions Meets Strategic Logics},
  editor =              {Grossi, Davide and Roy, Olivier and Huang, Huaxin},
  booktitle =           {{P}roceedings of the 4th {W}orkshop on {L}ogic,
                         {R}ationality, and {I}nteraction ({LORI}'13)},
  acronym =             {{LORI}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8196},
  pages =               {162-175},
  year =                {2013},
  month =               oct,
  doi =                 {10.1007/978-3-642-40948-6_13},
}
[HM85] Matthew C. B. Hennessy et Robin Milner. Algebraic laws for nondeterminism and concurrency. Journal of the ACM 32(1). ACM Press, janvier 1985.
@article{jacm32(1)-HM,
  author =              {Hennessy, Matthew C. B. and Milner, Robin},
  title =               {Algebraic laws for nondeterminism and concurrency},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {32},
  number =              {1},
  year =                {1985},
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}
[HM03] Markus Holzer et Pierre McKenzie. Alternating and Empty Alternating Auxiliary Stack Automata. Theoretical Computer Science 299(1-3):307-326. Elsevier, avril 2003.
@article{tcs299(1-3)-HM,
  author =              {Holzer, Markus and McKenzie, Pierre},
  title =               {Alternating and Empty Alternating Auxiliary Stack
                         Automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {299},
  number =              {1-3},
  pages =               {307-326},
  year =                {2003},
  month =               apr,
}
[HvdM18] Xiaowei Huang et Ron van der Meyden. An Epistemic Strategy Logic. ACM Transactions on Computational Logic 19(4):26:1-26:45. ACM Press, décembre 2018.
@article{tocl19(4)-HvdM,
  author =              {Huang, Xiaowei and van der Meyden, Ron},
  title =               {An Epistemic Strategy Logic},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {19},
  number =              {4},
  pages =               {26:1-26:45},
  year =                {2018},
  month =               dec,
  doi =                 {10.1145/3233769},
}
[HM22] Bainian Hao et Carla Michini. Inefficiency of Pure Nash Equilibria in Series-Parallel Network Congestion Games. In WINE'22, Lecture Notes in Computer Science 13778, pages 3-20. Springer-Verlag, juillet 2022.
@inproceedings{wine2022-HM,
  author =              {Hao, Bainian and Michini, Carla},
  title =               {Inefficiency of Pure Nash Equilibria in
                         Series-Parallel Network Congestion Games},
  editor =              {Hansen, Kristoffer Arnsfelt and Liu, Tracy Xiao and
                         Malekian, Azarakhsh},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onference on {W}eb and {I}nternet {E}conomics
                         ({WINE}'22)},
  acronym =             {{WINE}'22},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {13778},
  pages =               {3-20},
  year =                {2022},
  month =               jul,
  doi =                 {10.1007/978-3-031-22832-2_1},
}
[HMB07] Michael R. Hansen, Jan Madsen et Aske Wiid Brekling. Semantics and Verification of a Language for Modelling Hardware Architectures. In Formal Methods and Hybrid Real-Time Systems, Essays in Honor of Dines Bjørner and Chaochen Zhou on the Occasion of Their 70th Birthdays, Lecture Notes in Computer Science 4700, pages 300-319. Springer-Verlag, septembre 2007.
@inproceedings{BZbday07-HMB,
  author =              {Hansen, Michael R. and Madsen, Jan and Brekling,
                         Aske Wiid},
  title =               {Semantics and Verification of a Language for
                         Modelling Hardware Architectures},
  editor =              {Jones, Cliff B. and Liu, Zhiming and Woodcock, Jim},
  booktitle =           {Formal Methods and Hybrid Real-Time Systems, Essays
                         in Honor of Dines~Bj{\o}rner and Chaochen~Zhou on
                         the Occasion of Their 70th Birthdays},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4700},
  pages =               {300-319},
  year =                {2007},
  month =               sep,
  doi =                 {10.1007/978-3-540-75221-9_13},
}
[HMM18] Loïc Hélouët, Hervé Marchand et John Mullins. Concurrent secrets with quantified suspicion. In ACSD'18, pages 75-84. IEEE Comp. Soc. Press, juin 2018.
@inproceedings{acsd2018-HMM,
  author =              {H{\'e}lou{\"e}t, Lo{\"\i}c and Marchand, Herv{\'e}
                         and Mullins, John},
  title =               {Concurrent secrets with quantified suspicion},
  editor =              {Chatain, {\relax Th}omas and Grosu, Radu and
                         Juh{\'a}s, Gabriel},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onference on {A}pplication of {C}oncurrency to
                         {S}ystem {D}esign ({ACSD}'18)},
  acronym =             {{ACSD}'18},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {75-84},
  year =                {2018},
  month =               jun,
  doi =                 {10.1109/ACSD.2018.00011},
}
[HMP92] Thomas A. Henzinger, Zohar Manna et Amir Pnueli. What Good are Digital Clocks?. In ICALP'92, Lecture Notes in Computer Science 623, pages 545-558. Springer-Verlag, juillet 1992.
@inproceedings{icalp1992-HMP,
  author =              {Henzinger, Thomas A. and Manna, Zohar and Pnueli,
                         Amir},
  title =               {What Good are Digital Clocks?},
  editor =              {Kuich, Werner},
  booktitle =           {{P}roceedings of the 19th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'92)},
  acronym =             {{ICALP}'92},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {623},
  pages =               {545-558},
  year =                {1992},
  month =               jul,
}
[HMP92] Thomas A. Henzinger, Zohar Manna et Amir Pnueli. Timed Transition Systems. In REX'91, Lecture Notes in Computer Science 600, pages 226-251. Springer-Verlag, 1992.
@inproceedings{rex1991-HMP,
  author =              {Henzinger, Thomas A. and Manna, Zohar and Pnueli,
                         Amir},
  title =               {Timed Transition Systems},
  editor =              {de~Bakker, Jaco W. and Huizing, Cornelis and de
                         Roever, Willem-Paul and Rozenberg, Grzegorz},
  booktitle =           {{R}eal-{T}ime: {T}heory in {P}ractice, {P}roceedings
                         of {REX} {W}orkshop~1991 ({REX}'91)},
  acronym =             {{REX}'91},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {600},
  pages =               {226-251},
  year =                {1992},
  confyear =            {1991},
  confmonth =           {6},
}
[HMP93] Thomas A. Henzinger, Zohar Manna et Amir Pnueli. Towards Refining Temporal Specifications into Hybrid Systems. In HSCC'92, Lecture Notes in Computer Science 736, pages 60-76. Springer-Verlag, 1993.
@inproceedings{hscc1992-HMP,
  author =              {Henzinger, Thomas A. and Manna, Zohar and Pnueli,
                         Amir},
  title =               {Towards Refining Temporal Specifications into Hybrid
                         Systems},
  editor =              {Grossman, Robert L. and Nerode, Anil and Ravn,
                         Anders P. and Rischel, Hans},
  booktitle =           {{H}ybrid {S}ystems ({HSCC}'92)},
  acronym =             {{HSCC}'92},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {736},
  pages =               {60-76},
  year =                {1993},
}
[HMP94] Thomas A. Henzinger, Zohar Manna et Amir Pnueli. Temporal Proof Methodologies for Timed Transition Systems. Information and Computation 112(2):273-337. Academic Press, août 1994.
@article{icomp112(2)-HMP,
  author =              {Henzinger, Thomas A. and Manna, Zohar and Pnueli,
                         Amir},
  title =               {Temporal Proof Methodologies for Timed Transition
                         Systems},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {112},
  number =              {2},
  pages =               {273-337},
  year =                {1994},
  month =               aug,
}
[HMP05] Thomas A. Henzinger, Rupak Majumdar et Vinayak S. Prabhu. Quantifying Similarities Between Timed Systems. In FORMATS'05, Lecture Notes in Computer Science 3829, pages 226-241. Springer-Verlag, septembre 2005.
@inproceedings{formats2005-HMP,
  author =              {Henzinger, Thomas A. and Majumdar, Rupak and Prabhu,
                         Vinayak S.},
  title =               {Quantifying Similarities Between Timed Systems},
  editor =              {Pettersson, Paul and Yi, Wang},
  booktitle =           {{P}roceedings of the 3rd {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'05)},
  acronym =             {{FORMATS}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3829},
  pages =               {226-241},
  year =                {2005},
  month =               sep,
}
[HMR19] Loïc Hélouët, Nicolas Markey et Ritam Raha. Reachability games with relaxed energy constraints. In GandALF'19, Electronic Proceedings in Theoretical Computer Science 305, pages 17-33. Septembre 2019.
Résumé

We study games with reachability objectives under energy constraints. We first prove that under strict energy constraints (either only lower-bound constraint or interval constraint), those games are LOGSPACE-equivalent to energy games with the same energy constraints but without reachability objective (i.e., for infinite runs). We then consider two kinds of relaxations of the upper-bound constraints (while keeping the lower-bound constraint strict): in the first one, called weak upper bound, the upper bound is absorbing, in the sense that it allows receiving more energy when the upper bound is already reached, but the extra energy will not be stored; in the second one, we allow for temporary violations of the upper bound, imposing limits on the number or on the amount of violations.

We prove that when considering weak upper bound, reachability objectives require memory, but can still be solved in polynomial-time for one-player arenas; we prove that they are in coNP in the two-player setting. Allowing for bounded violations makes the problem PSPACE-complete for one-player arenas and EXPTIME-complete for two players.

@inproceedings{gandalf2019-HMR,
  author =              {H{\'e}lou{\"e}t, Lo{\"\i}c and Markey, Nicolas and
                         Raha, Ritam},
  title =               {Reachability games with relaxed energy constraints},
  editor =              {Leroux, J{\'e}r{\^o}me and Raskin, Jean-Fran{\c
                         c}ois},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {S}ymposium on {G}ames, {A}utomata, {L}ogics and
                         {F}ormal {V}erification ({GandALF}'19)},
  acronym =             {{GandALF}'19},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {305},
  pages =               {17-33},
  year =                {2019},
  month =               sep,
  doi =                 {10.4204/EPTCS.305.2},
  abstract =            {We study games with reachability objectives under
                         energy constraints. We first prove that under strict
                         energy constraints (either only lower-bound
                         constraint or interval constraint), those games are
                         \textsf{LOGSPACE}-equivalent to energy games with
                         the same energy constraints but without reachability
                         objective (i.e., for infinite runs). We then
                         consider two kinds of relaxations of the upper-bound
                         constraints (while keeping the lower-bound
                         constraint strict): in the first one, called
                         \emph{weak upper bound}, the upper bound is
                         \emph{absorbing}, in the sense that it allows
                         receiving more energy when the upper bound is
                         already reached, but the extra energy will not be
                         stored; in~the second~one, we~allow for
                         \emph{temporary violations} of the upper bound,
                         imposing limits on the number or on the amount of
                         violations.\par We prove that when considering weak
                         upper bound, reachability objectives require memory,
                         but can still be solved in polynomial-time for
                         one-player arenas; we prove that they are in
                         \textsf{coNP} in the two-player setting. Allowing
                         for bounded violations makes the problem
                         \textsf{PSPACE}-complete for one-player arenas and
                         \textsf{EXPTIME}-complete for two players.},
}
[HMR22] Loïc Hélouët, Nicolas Markey et Ritam Raha. Reachability games with relaxed energy constraints. Information and Computation 285 (Part B). Elsevier, mai 2022.
Résumé

We study games with reachability objectives under energy constraints. We first prove that under strict energy constraints (either only lower-bound constraint or interval constraint), those games are LOGSPACE-equivalent to energy games with the same energy constraints but without reachability objective (i.e., for infinite runs). We then consider two relaxations of the upper-bound constraints (while keeping the lower-bound constraint strict): in the first one, called weak upper bound, the upper bound is absorbing, i.e., when the upper bound is reached, the extra energy is not stored; in the second one, we allow for temporary violations of the upper bound, imposing limits on the number or on the amount of violations.

We prove that when considering weak upper bound, reachability objectives require memory, but can still be solved in polynomial-time for one-player arenas; we prove that they are in NP in the two-player setting. Allowing for bounded violations makes the problem PSPACE-complete for one-player arenas and EXPTIME-complete for two players. We then address the problem of existence of bounds for a given arena. We show that with reachability objectives, existence can be a simpler problem than the game itself, and conversely that with infinite games, existence can be harder.

@article{icomp2022-HMR,
  author =              {H{\'e}lou{\"e}t, Lo{\"\i}c and Markey, Nicolas and
                         Raha, Ritam},
  title =               {Reachability games with relaxed energy constraints},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {285~(Part~B)},
  year =                {2022},
  month =               may,
  doi =                 {10.1016/j.ic.2021.104806},
  abstract =            {We study games with reachability objectives under
                         energy constraints. We first prove that under strict
                         energy constraints (either only lower-bound
                         constraint or interval constraint), those games are
                         LOGSPACE-equivalent to energy games with the same
                         energy constraints but without reachability
                         objective (i.e., for infinite runs). We then
                         consider two relaxations of the upper-bound
                         constraints (while keeping the lower-bound
                         constraint strict): in the first one, called weak
                         upper bound, the upper bound is absorbing, i.e.,
                         when the upper bound is reached, the extra energy is
                         not stored; in the second one, we allow for
                         temporary violations of the upper bound, imposing
                         limits on the number or on the amount of violations.
                         \par We prove that when considering weak upper
                         bound, reachability objectives require memory, but
                         can still be solved in polynomial-time for
                         one-player arenas; we prove that they are in NP in
                         the two-player setting. Allowing for bounded
                         violations makes the problem PSPACE-complete for
                         one-player arenas and EXPTIME-complete for two
                         players. We then address the problem of existence of
                         bounds for a given arena. We show that with
                         reachability objectives, existence can be a simpler
                         problem than the game itself, and conversely that
                         with infinite games, existence can be harder.},
}
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                         Abstract)},
  editor =              {Cortesi, Agostino},
  booktitle =           {{P}roceedings of the 3rd {I}nternational {W}orkshop
                         on {V}erification, {M}odel {C}hecking, and
                         {A}bstract {I}nterpretation ({VMCAI}'02)},
  acronym =             {{VMCAI}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2294},
  pages =               {289-301},
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}
[HRS03] Aidan Harding, Mark D. Ryan et Pierre-Yves Schobbens. Towards Symbolic Strategy Synthesis for A-LTL. In TIME-ICTL'03, pages 137-146. IEEE Comp. Soc. Press, juillet 2003.
@inproceedings{time2003-HRS,
  author =              {Harding, Aidan and Ryan, Mark D. and Schobbens,
                         Pierre-Yves},
  title =               {Towards Symbolic Strategy Synthesis for
  {\(\langle\)\,\llap{\(\langle\)}A\(\rangle\)\,\llap{\(\rangle\)}}-{LTL}},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {S}ymposium on {T}emporal {R}epresentation and
                         {R}easoning and of the 4th {I}nternational
                         {C}onference on {T}emporal {L}ogic
                         ({TIME}-{ICTL}'03)},
  acronym =             {{TIME-ICTL}'03},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {137-146},
  year =                {2003},
  month =               jul,
}
[HRS05] Aidan Harding, Mark D. Ryan et Pierre-Yves Schobbens. A New Algorithm for Strategy Synthesis in LTL Games. In TACAS'05, Lecture Notes in Computer Science 3440, pages 477-492. Springer-Verlag, avril 2005.
@inproceedings{tacas2005-HRS,
  author =              {Harding, Aidan and Ryan, Mark D. and Schobbens,
                         Pierre-Yves},
  title =               {A New Algorithm for Strategy Synthesis in {LTL}
                         Games},
  editor =              {Halbwachs, Nicolas and Zuck, Lenore D.},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'05)},
  acronym =             {{TACAS}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3440},
  pages =               {477-492},
  year =                {2005},
  month =               apr,
}
[HRS+02] Thomas Hune, Judi Romijn, Mariëlle Stoelinga et Frits Vaandrager. Linear parametric model checking of timed automata. Journal of Logic and Algebraic Programming 52-53:183-220. Elsevier, juin 2002.
@article{jlap52-53-hrsv,
  author =              {Hune, Thomas and Romijn, Judi and Stoelinga,
                         Mari{\"e}lle and Vaandrager, Frits},
  title =               {Linear parametric model checking of timed automata},
  publisher =           {Elsevier},
  journal =             {Journal of Logic and Algebraic Programming},
  volume =              {52-53},
  pages =               {183-220},
  year =                {2002},
  month =               jun,
}
[HS89] Jaakko Hintikka et Gabriel Sandu. Informational Independence as a Semantical Phenomenon. In Proceedings of the 8th International Congress of Logic, Methodology and Philosophy of Science, Studies in Logic and the Foundations of Mathematics 70, pages 571-589. North-Holland, janvier 1989.
@inproceedings{iclmps1989-HS,
  author =              {Hintikka, Jaakko and Sandu, Gabriel},
  title =               {Informational Independence as a Semantical
                         Phenomenon},
  editor =              {Fenstad, Jens Erik and Frolov, Ivan T. and
                         Hilppinen, Risto},
  booktitle =           {{P}roceedings of the 8th {I}nternational {C}ongress
                         of {L}ogic, {M}ethodology and {P}hilosophy of
                         {S}cience},
  publisher =           {North-Holland},
  series =              {Studies in Logic and the Foundations of Mathematics},
  volume =              {70},
  pages =               {571-589},
  year =                {1989},
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}
[HS91] Joseph Y. Halpern et Yoav Shoham. A Propositional Modal Logic of Time Intervals. Journal of the ACM 38(4):935-962. ACM Press, octobre 1991.
@article{jacm38(4)-HS,
  author =              {Halpern, Joseph Y. and Shoham, Yoav},
  title =               {A Propositional Modal Logic of Time Intervals},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {38},
  number =              {4},
  pages =               {935-962},
  year =                {1991},
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}
[HS96] Klaus Havelund et Natarajan Shankar. Experiments in Theorem Proving and Model Checking for Protocol Verification. In FME'96, Lecture Notes in Computer Science 1051, pages 662-681. Springer-Verlag, mars 1996.
@inproceedings{fme1996-HS,
  author =              {Havelund, Klaus and Shankar, Natarajan},
  title =               {Experiments in Theorem Proving and Model Checking
                         for Protocol Verification},
  editor =              {Gaudel, Marie-Claude and Woodcock, Jim},
  booktitle =           {Industrial Benefit and Advances in Formal
                         Methods~--- {P}roceedings of the 3rd {I}nternational
                         {S}ymposium of {F}ormal {M}ethods {E}urope
                         ({FME}'96)},
  acronym =             {{FME}'96},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1051},
  pages =               {662-681},
  year =                {1996},
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}
[HS06] Thomas A. Henzinger et Joseph Sifakis. The Embedded Systems Design Challenge. In FM'06, Lecture Notes in Computer Science 4085, pages 1-15. Springer-Verlag, août 2006.
@inproceedings{fm2006-HS,
  author =              {Henzinger, Thomas A. and Sifakis, Joseph},
  title =               {The Embedded Systems Design Challenge},
  editor =              {Misra, Jayadev and Nipkow, Tobias and Sekerinski,
                         Emil},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {S}ymposium on {F}ormal {M}ethods ({FM}'06)},
  acronym =             {{FM}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4085},
  pages =               {1-15},
  year =                {2006},
  month =               aug,
  doi =                 {10.1007/11813040_1},
}
[HSB03] John Hershberger, Subhash Suri et Amir Bhosle. On the Difficulty of Some Shortest Path Problems. In STACS'03, Lecture Notes in Computer Science 2607, pages 343-354. Springer-Verlag, février 2003.
@inproceedings{stacs2003-HSB,
  author =              {Hershberger, John and Suri, Subhash and Bhosle,
                         Amir},
  title =               {On the Difficulty of Some Shortest Path Problems},
  editor =              {Alt, Helmut and Habib, Michel},
  booktitle =           {{P}roceedings of the 20th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'03)},
  acronym =             {{STACS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2607},
  pages =               {343-354},
  year =                {2003},
  month =               feb,
}
[HSL+97] Klaus Havelund, Arne Skou, Kim Guldstrand Larsen et Kristian Lund. Formal Modelling and Analysis of an Audio/Video Protocol: An Industrial Case Study Using Uppaal. In RTSS'97, pages 2-13. IEEE Comp. Soc. Press, décembre 1997.
@inproceedings{rts1997-HSLL,
  author =              {Havelund, Klaus and Skou, Arne and Larsen, Kim
                         Guldstrand and Lund, Kristian},
  title =               {Formal Modelling and Analysis of an
                         Audio{\slash}Video Protocol: An Industrial Case
                         Study Using {U}ppaal},
  booktitle =           {{P}roceedings of the 18th {S}ymposium on {R}eal-Time
                         {S}ystems ({RTSS}'97)},
  acronym =             {{RTSS}'97},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {2-13},
  year =                {1997},
  month =               dec,
}
[HST+16] Frédéric Herbreteau, B. Srivathsan, Thanh-Tung Tran et Igor Walukiewicz. Why liveness for timed automata is hard, and what we can do about it. In FSTTCS'16, Leibniz International Proceedings in Informatics, pages 48:1-48:14. Leibniz-Zentrum für Informatik, décembre 2016.
@inproceedings{fsttcs2016-HSTW,
  author =              {Herbreteau, Fr{\'e}d{\'e}ric and Srivathsan, B. and
                         Tran, Thanh-Tung and Walukiewicz, Igor},
  title =               {Why liveness for timed automata is hard, and what we
                         can do about~it},
  editor =              {Akshay, S. and Lal, Akash and Saurabh, Saket and
                         Sen, Sandeep},
  booktitle =           {{P}roceedings of the 36th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'16)},
  acronym =             {{FSTTCS}'16},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  pages =               {48:1-48:14},
  year =                {2016},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2016.48},
}
[HSW12] Frédéric Herbreteau, B. Srivathsan et Igor Walukiewicz. Efficient emptiness check for timed Büchi automata. Formal Methods in System Design 40(2):122-146. Springer-Verlag, avril 2012.
@article{fmsd40(2)-HSW,
  author =              {Herbreteau, Fr{\'e}d{\'e}ric and Srivathsan, B. and
                         Walukiewicz, Igor},
  title =               {Efficient emptiness check for timed {B}{\"u}chi
                         automata},
  publisher =           {Springer-Verlag},
  journal =             {Formal Methods in System Design},
  volume =              {40},
  number =              {2},
  pages =               {122-146},
  year =                {2012},
  month =               apr,
  doi =                 {10.1007/s10703-011-0133-1},
}
[HSW12] Frédéric Herbreteau, B. Srivathsan et Igor Walukiewicz. Better abstractions for timed automata. In LICS'12, pages 375-384. IEEE Comp. Soc. Press, juin 2012.
@inproceedings{lics2012-HSW,
  author =              {Herbreteau, Fr{\'e}d{\'e}ric and Srivathsan, B. and
                         Walukiewicz, Igor},
  title =               {Better abstractions for timed automata},
  booktitle =           {{P}roceedings of the 27th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'12)},
  acronym =             {{LICS}'12},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {375-384},
  year =                {2012},
  month =               jun,
  doi =                 {10.1109/LICS.2012.48},
}
[HSW13] Frédéric Herbreteau, B. Srivathsan et Igor Walukiewicz. Lazy Abstractions for Timed Automata. In CAV'13, Lecture Notes in Computer Science 8044, pages 990-1005. Springer-Verlag, juillet 2013.
@inproceedings{cav2013-HSW,
  author =              {Herbreteau, Fr{\'e}d{\'e}ric and Srivathsan, B. and
                         Walukiewicz, Igor},
  title =               {Lazy Abstractions for Timed Automata},
  editor =              {Sharygina, Natasha and Veith, Helmut},
  booktitle =           {{P}roceedings of the 25th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'13)},
  acronym =             {{CAV}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8044},
  pages =               {990-1005},
  year =                {2013},
  month =               jul,
  doi =                 {10.1007/978-3-642-39799-8_71},
}
[HSW13] Chung-Hao Huang, Sven Schewe et Farn Wang. Model Checking Iterated Games. In TACAS'13, Lecture Notes in Computer Science 7795, pages 154-168. Springer-Verlag, mars 2013.
@inproceedings{tacas2013-HSW,
  author =              {Huang, Chung-Hao and Schewe, Sven and Wang, Farn},
  title =               {Model Checking Iterated Games},
  editor =              {Piterman, Nir and Smolka, Scott A.},
  booktitle =           {{P}roceedings of the 19th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'13)},
  acronym =             {{TACAS}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7795},
  pages =               {154-168},
  year =                {2013},
  month =               mar,
  doi =                 {10.1007/978-3-642-36742-7_11},
}
[HSW16] Frédéric Herbreteau, B. Srivathsan et Igor Walukiewicz. Efficient emptiness check for timed Büchi automata. Information and Computation 251:67-90. Elsevier, décembre 2016.
@article{icomp251()-HSW,
  author =              {Herbreteau, Fr{\'e}d{\'e}ric and Srivathsan, B. and
                         Walukiewicz, Igor},
  title =               {Efficient emptiness check for timed {B}{\"u}chi
                         automata},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {251},
  pages =               {67-90},
  year =                {2016},
  month =               dec,
  doi =                 {10.1016/j.ic.2016.07.004},
}
[HT74] John Hopcroft et Robert Endre Tarjan. Efficient Planarity Testing. Journal of the ACM 21(4):549-568. ACM Press, octobre 1974.
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  author =              {Hopcroft, John and Tarjan, Robert Endre},
  title =               {Efficient Planarity Testing},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {21},
  number =              {4},
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[HT15] Frédéric Herbreteau et Thanh-Tung Tran. Improving Search Order for Reachability Testing in Timed Automata. In FORMATS'15, Lecture Notes in Computer Science 9268, pages 124-139. Springer-Verlag, septembre 2015.
@inproceedings{formats2015-HT,
  author =              {Herbreteau, Fr{\'e}d{\'e}ric and Tran, Thanh-Tung},
  title =               {Improving Search Order for Reachability Testing in
                         Timed Automata},
  editor =              {Sankaranarayanan, Sriram and Vicario, Enrico},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'15)},
  acronym =             {{FORMATS}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9268},
  pages =               {124-139},
  year =                {2015},
  month =               sep,
  doi =                 {10.1007/978-3-319-22975-1_9},
}
[HTS+00] Masahiro Hirao, Masayuki Takeda, Ayumi Shinohara et Setsuo Arikawa. Faster Fully Compressed Pattern Matching Algorithm for a Subclass of Straight-Line Programs. Technical Report DOI-TR-169, Dept. of Informatics, Kyushu University, Fukuoka, Japan, janvier 2000.
@techreport{DOI-TR-169-HTSA,
  author =              {Hirao, Masahiro and Takeda, Masayuki and Shinohara,
                         Ayumi and Arikawa, Setsuo},
  title =               {Faster Fully Compressed Pattern Matching Algorithm
                         for a Subclass of Straight-Line Programs},
  number =              {DOI-TR-169},
  year =                {2000},
  month =               jan,
  institution =         {Dept. of Informatics, Kyushu University, Fukuoka,
                         Japan},
  type =                {Technical Report},
}
[Hun01] Thomas Hune. Analyzing real-time systems: theory and tools. PhD thesis, University of Aarhus, Denmark, 2001.
@phdthesis{phd-hune,
  author =              {Hune, Thomas},
  title =               {Analyzing real-time systems: theory and tools},
  year =                {2001},
  school =              {University of Aarhus, Denmark},
}
[Hun13] Paul Hunter. When is Metric Temporal Logic Expressively Complete?. In CSL'13, Leibniz International Proceedings in Informatics 23, pages 380-394. Leibniz-Zentrum für Informatik, septembre 2013.
@inproceedings{csl2013-Hun,
  author =              {Hunter, Paul},
  title =               {When is Metric Temporal Logic Expressively
                         Complete?},
  editor =              {Ronchi{ }Della{~}Rocca, Simona},
  booktitle =           {{P}roceedings of the 27th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'13)},
  acronym =             {{CSL}'13},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {23},
  pages =               {380-394},
  year =                {2013},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CSL.2013.380},
}
[Hun15] Paul Hunter. Reachability in Succinct One-Counter Games. In RP'15, Lecture Notes in Computer Science 9328, pages 37-49. Springer-Verlag, septembre 2015.
@inproceedings{rp2015-Hun,
  author =              {Hunter, Paul},
  title =               {Reachability in Succinct One-Counter Games},
  editor =              {Boja{\'n}czyk, Miko{\l}aj and Lasota, S{\l}awomir
                         and Potapov, Igor},
  booktitle =           {{P}roceedings of the 9th {W}orkshop on
                         {R}eachability {P}roblems in {C}omputational
                         {M}odels ({RP}'15)},
  acronym =             {{RP}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9328},
  pages =               {37-49},
  year =                {2015},
  month =               sep,
  doi =                 {10.1007/978-3-319-24537-9_5},
}
[Huy82] Thiet-Dung Huynh. The Complexity of Semilinear Sets. Elektronische Informationsverarbeitung und Kybernetik 18(6):291-338. Juin 1982.
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  author =              {Huynh, Thiet-Dung},
  title =               {The Complexity of Semilinear Sets},
  journal =             {Elektronische Informationsverarbeitung und
                         Kybernetik},
  volume =              {18},
  number =              {6},
  pages =               {291-338},
  year =                {1982},
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}
[HVG04] Jinfeng Huang, Jeroen Voeten et Marc C.W. Geilen. Real-Time Property Preservation in Concurrent Real-time Systems. In RTCSA'04. Août 2004.
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  author =              {Huang, Jinfeng and Voeten, Jeroen and Geilen, Marc
                         C.W.},
  title =               {Real-Time Property Preservation in Concurrent
                         Real-time Systems},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {R}eal-{T}ime {C}omputing {S}ystems
                         and {A}pplications ({RTCSA}'04)},
  acronym =             {{RTCSA}'04},
  year =                {2004},
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[HW97] Harald Hempel et Gerd Wechsung. The Operators min and max on the Polynomial Hierarchy. Technical Report TR97-025, Electronic Colloquium on Computational Complexity, mai 1997.
@techreport{ECCC-TR97-025-HW,
  author =              {Hempel, Harald and Wechsung, Gerd},
  title =               {The Operators min and max on the Polynomial
                         Hierarchy},
  number =              {TR97-025},
  year =                {1997},
  month =               may,
  institution =         {Electronic Colloquium on Computational Complexity},
  type =                {Technical Report},
}
[HWZ02] Ian Hodkinson, Frank Wolter et Michael Zakharyaschev. Decidable and Undecidable Fragments of First-Order Branching Temporal Logics. In LICS'02, pages 393-402. IEEE Comp. Soc. Press, juillet 2002.
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  author =              {Hodkinson, Ian and Wolter, Frank and Zakharyaschev,
                         Michael},
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                         Branching Temporal Logics},
  booktitle =           {{P}roceedings of the 17th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'02)},
  acronym =             {{LICS}'02},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {393-402},
  year =                {2002},
  month =               jul,
}
[HZH+10] Fei He, He Zhu, William N. N. Hung, Xiaoyu Song et Ming Gu. Compositional Abstraction Refinement for Timed Systems. In TASE'10, pages 168-176. IEEE Comp. Soc. Press, août 2010.
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  author =              {He, Fei and Zhu, He and Hung, William N. N. and
                         Song, Xiaoyu and Gu, Ming},
  title =               {Compositional Abstraction Refinement for Timed
                         Systems},
  editor =              {Liu, Jing and Peled, Doron A. and Wang, Bow-Yaw and
                         Wang, Farn},
  booktitle =           {{P}roceedings of the 4th {I}nternational {S}ymposium
                         on {T}heoretical {A}spects of {S}oftware
                         {E}ngineering ({TASE}'10)},
  acronym =             {{TASE}'10},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {168-176},
  year =                {2010},
  month =               aug,
  doi =                 {10.1109/TASE.2010.27},
}
I
[IK89] Neil Immerman et Dexter C. Kozen. Definability with Bounded Number of Bound Variables. Information and Computation 83(2):121-139. Academic Press, novembre 1989.
@article{icomp83(2)-IK,
  author =              {Immerman, Neil and Kozen, Dexter C.},
  title =               {Definability with Bounded Number of Bound Variables},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {83},
  number =              {2},
  pages =               {121-139},
  year =                {1989},
  month =               nov,
}
[IKO+02] Satoshi Ikeda, Izumi Kubo, Norihiro Okumoto et Masafumi Yamashita. Local Topological Information and Cover Time. IPSJ SIG Notes 88:27-34. Information Processing Society of Japan, septembre 2002.
@article{ipsj88-IKOY,
  author =              {Ikeda, Satoshi and Kubo, Izumi and Okumoto, Norihiro
                         and Yamashita, Masafumi},
  title =               {Local Topological Information and Cover Time},
  publisher =           {Information Processing Society of Japan},
  journal =             {IPSJ SIG Notes},
  volume =              {88},
  pages =               {27-34},
  year =                {2002},
  month =               sep,
}
[IKY+08] Georgeta Igna, Vankatesh Kannan, Yang Yang, Twan Basten, Marc C.W. Geilen, Frits Vaandrager, Marc Voorhoeve, Sebastian de Smet et Lou J. Somers. Formal Modeling and Scheduling of Datapaths of Digital Document Printers. In FORMATS'08, Lecture Notes in Computer Science 5215, pages 170-187. Springer-Verlag, septembre 2008.
@inproceedings{formats2008-IKYBGVVSS,
  author =              {Igna, Georgeta and Kannan, Vankatesh and Yang, Yang
                         and Basten, Twan and Geilen, Marc C.W. and
                         Vaandrager, Frits and Voorhoeve, Marc and de Smet,
                         Sebastian and Somers, Lou J.},
  title =               {Formal Modeling and Scheduling of Datapaths of
                         Digital Document Printers},
  editor =              {Cassez, Franck and Jard, Claude},
  booktitle =           {{P}roceedings of the 6th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'08)},
  acronym =             {{FORMATS}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5215},
  pages =               {170-187},
  year =                {2008},
  month =               sep,
}
[Imm81] Neil Immerman. Number of quantifiers is better than number of tape cells. Journal of Computer and System Sciences 22(3):384-406. Academic Press, juin 1981.
@article{jcss22(3)-Imm,
  author =              {Immerman, Neil},
  title =               {Number of quantifiers is better than number of tape
                         cells},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
  volume =              {22},
  number =              {3},
  pages =               {384-406},
  year =                {1981},
  month =               jun,
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}
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  journal =             {SIAM Journal on Computing},
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}
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                         Complementation},
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  journal =             {SIAM Journal on Computing},
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}
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                         Akira},
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  author =              {Jaziri, Samy},
  title =               {Automata on timed structures},
  year =                {2019},
  month =               sep,
  school =              {{\'E}cole Normale Sup{\'e}rieure de Cachan, France},
}
[JBB+17] Swen Jacobs, Roderick Bloem, Romain Brenguier, Rüdiger Ehlers, Timotheus Hell, Robert Könighofer, Guillermo A. Pérez, Jean-François Raskin, Leonid Ryzhyk, Ocan Sankur, Martin Seidl, Leander Tentrup et Adam Walker. The first reactive synthesis competition (SYNTCOMP 2014). International Journal on Software Tools for Technology Transfer 19(3):367-390. Springer-Verlag, juin 2017.
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                         Romain and Ehlers, R{\"u}diger and Hell, Timotheus
                         and K{\"o}nighofer, Robert and P{\'e}rez, Guillermo
                         A. and Raskin, Jean-Fran{\c c}ois and Ryzhyk, Leonid
                         and Sankur, Ocan and Seidl, Martin and Tentrup,
                         Leander and Walker, Adam},
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                         ({SYNTCOMP}~2014)},
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                         Technology Transfer},
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}
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                         objects},
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                         Varga, L{\'a}szl{\'o} Zsolt},
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                         and {E}astern {E}uropean {C}onference on
                         {M}ulti-{A}gent {S}ystems ({CEEMAS}'05)},
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  title =               {Model Checking Abilities of Agents: A Closer Look},
  number =              {IfI-06-02},
  year =                {2006},
  institution =         {Institut f{\'u}r Informatik, Technische
                         Universit{\"a}t Clausthal, Germany},
  type =                {Technical Report},
}
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  publisher =           {Springer-Verlag},
  journal =             {Theory of Computing Systems},
  volume =              {42},
  number =              {3},
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}
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  type =                {Annual Reviews Inc.},
}
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                         de tests pour les syst{\`e}mes r{\'e}actifs},
  year =                {2004},
  month =               feb,
  school =              {Universit{\'e} Rennes~1, France},
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}
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                         {C}onference on {L}ogic and {C}omputer {S}cience
                         ({LIRA}'97)},
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  title =               {Agents that Know How to Play},
  publisher =           {IOS Press},
  journal =             {Fundamenta Informaticae},
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  number =              {2-3},
  pages =               {185-219},
  year =                {2004},
}
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                         Ga{\"e}l},
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                         on {A}rtificial {I}ntelligence ({EPIA}'05)},
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                         {C}onference on {A}utonomous {A}gents and
                         {M}ultiagent {S}ystems ({AAMAS}'16)},
  acronym =             {{AAMAS}'16},
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                         Multiagent Systems},
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                         {P}rogramming ({ICALP}'03)},
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                         Second Order Logic on Arbitrary Trees},
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}
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                         McKenzie, Pierre},
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[JLR13] Line Juhl, Kim Guldstrand Larsen et Jean-François Raskin. Optimal Bounds for Multiweighted and Parametrised Energy Games. In Theories of Programming and Formal Methods – Essays Dedicated to Jifeng He on the Occasion of His 70th Birthday, Lecture Notes in Computer Science 8051, pages 244-255. Springer-Verlag, 2013.
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                         Energy Games},
  editor =              {Liu, Zhiming and Woodcock, Jim and Zhu, Yunshan},
  booktitle =           {Theories of Programming and Formal Methods~-- Essays
                         Dedicated to Jifeng He on the Occasion of His 70th
                         Birthday},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8051},
  pages =               {244-255},
  year =                {2013},
  doi =                 {10.1007/978-3-642-39698-4_15},
}
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  journal =             {IEEE Transactions on Software Engineering},
  volume =              {41},
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}
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                         c}ois and Sproston, Jeremy},
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                         or Two Clocks},
  editor =              {Grumberg, Orna and Huth, Michael},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'07)},
  acronym =             {{TACAS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4424},
  pages =               {170-184},
  year =                {2007},
  month =               mar,
  doi =                 {10.1007/978-3-540-71209-1_15},
}
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  author =              {J{\o}rgensen, Kenneth Yrke and Larsen, Kim
                         Guldstrand and Srba, Ji{\v r}{\'\i}},
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                         Closed Timed Automata},
  booktitle =           {{P}roceedings of the 7th {C}onference on {S}ystems
                         {S}oftware {V}erification ({SSV}'12)},
  acronym =             {{SSV}'12},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {102},
  pages =               {141-155},
  year =                {2012},
  month =               nov,
  doi =                 {10.4204/EPTCS.102.13},
}
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                         Schmitz, Sylvain},
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                         Pseudo-Polynomial Time},
  editor =              {Halld{\'o}rsson, Magn{\'u}s M. and Iwana, Kazuo and
                         Kobayashi, Naoki and Speckmann, Bettina},
  booktitle =           {{P}roceedings of the 42nd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'15)~-- Part~{II}},
  acronym =             {{ICALP}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9135},
  pages =               {260-272},
  year =                {2015},
  month =               jul,
  doi =                 {10.1007/978-3-662-47666-6_21},
}
[JLS+13] Jonas Finnemann Jensen, Kim Guldstrand Larsen, Jiří Srba et Lars Kærlund Østergaard. Local Model Checking of Weighted CTL with Upper-Bound Constraints. In SPIN'13, Lecture Notes in Computer Science 7976, pages 178-195. Springer-Verlag, juillet 2013.
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                         and Srba, Ji{\v r}{\'\i} and {\O}stergaard, Lars
                         K{\ae}rlund},
  title =               {Local Model Checking of Weighted {CTL} with
                         Upper-Bound Constraints},
  editor =              {Bartocci, Ezio and Ramakrishnan, C. R.},
  booktitle =           {{P}roceedings of the 20th {I}nternational
                         {S}ymposium on {M}odel-{C}herking {S}oftware
                         ({SPIN}'13)},
  acronym =             {{SPIN}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7976},
  pages =               {178-195},
  year =                {2013},
  month =               jul,
  doi =                 {10.1007/978-3-642-39176-7_12},
}
[JLS+14] Peter Gjøl Jensen, Kim Guldstrand Larsen, Jiří Srba, Mathias Grund Sørensen et Jakob Haar Taankvist. Memory Efficient Data Structures for Explicit Verification of Timed Systems. In NFM'14, Lecture Notes in Computer Science 8430, pages 307-312. Springer-Verlag, avril 2014.
@inproceedings{nasaFM2014-JLSST,
  author =              {Jensen, Peter Gj{\o}l and Larsen, Kim Guldstrand and
                         Srba, Ji{\v r}{\'\i} and S{\o}rensen, Mathias Grund
                         and Taankvist, Jakob Haar},
  title =               {Memory Efficient Data Structures for Explicit
                         Verification of Timed Systems},
  editor =              {Badger, Julia M. and Rozier, Kristin Yvonne},
  booktitle =           {{P}roceedings of the 6th {NASA} {F}ormal {M}ethods
                         {S}ymposium ({NFM}'14)},
  acronym =             {{NFM}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8430},
  pages =               {307-312},
  year =                {2014},
  month =               apr,
  doi =                 {10.1007/978-3-319-06200-6_26},
}
[JMM+20] Thierry Jéron, Nicolas Markey, David Mentré, Reiya Noguchi et Ocan Sankur. Incremental methods for checking real-time consistency. In FORMATS'20, Lecture Notes in Computer Science 12288, pages 249-264. Springer-Verlag, septembre 2020.
Résumé

Requirements engineering is a key phase in the development process. Ensuring that requirements are consistent is essential so that they do not conflict and admit implementations. We consider the formal verification of rt-consistency, which imposes that the inevitability of definitive errors of a requirement should be anticipated, and that of partial consistency, which was recently introduced as a more effective check. We generalize and formalize both notions for discrete-time timed automata, develop three incremental algorithms, and present experimental results.

@inproceedings{formats2020-JMMNS,
  author =              {J{\'e}ron, Thierry and Markey, Nicolas and
                         Mentr{\'e}, David and Noguchi, Reiya and Sankur,
                         Ocan},
  title =               {Incremental methods for checking real-time
                         consistency},
  editor =              {Bertrand, Nathalie and Jansen, Nils},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'20)},
  acronym =             {{FORMATS}'20},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {12288},
  pages =               {249-264},
  year =                {2020},
  month =               sep,
  doi =                 {10.1007/978-3-030-57628-8_15},
  abstract =            {Requirements engineering is a key phase in the
                         development process. Ensuring that requirements are
                         consistent is essential so that they do not conflict
                         and admit implementations. We~consider the formal
                         verification of rt-consistency, which imposes that
                         the inevitability of definitive errors of a
                         requirement should be anticipated, and that of
                         partial consistency, which was recently introduced
                         as a more effective check. We~generalize and
                         formalize both notions for discrete-time timed
                         automata, develop three incremental algorithms, and
                         present experimental results.},
}
[JMO07] Jacques Julliand, Hassan Mountassir et Émilie Oudot. VeSTA: A Tool to Verify the Correct Integration of a Component in a Composite Timed System. In ICFEM'07, Lecture Notes in Computer Science 4789, pages 116-135. Springer-Verlag, novembre 2007.
@inproceedings{icfem2007-JMO,
  author =              {Julliand, Jacques and Mountassir, Hassan and Oudot,
                         {\'E}milie},
  title =               {{V}e{STA}: A~Tool to Verify the Correct Integration
                         of a Component in a Composite Timed System},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {F}ormal {E}ngineering {M}ethods
                         ({ICFEM}'07)},
  acronym =             {{ICFEM}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
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  author =              {J{\'e}ron, Thierry and Marchand, Herv{\'e} and Rusu,
                         Vlad and Tschaen, Val{\'e}ry},
  title =               {Ensuring the Conformance of Reactive Discrete-Event
                         Systems using Supervisory Control},
  booktitle =           {{P}roceedings of the 42nd {IEEE} {C}onference on
                         {D}ecision and {C}ontrol ({CDC}'03)},
  acronym =             {{CDC}'03},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {2692- 2697},
  year =                {2003},
  month =               dec,
}
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  author =              {Johnson, David S.},
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  author =              {Johannsen, Jan},
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                         Logarithmic Space},
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  booktitle =           {{P}roceedings of the 21st {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'04)},
  acronym =             {{STACS}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
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}
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                         Automata},
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                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'11)},
  acronym =             {{FoSSaCS}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6604},
  pages =               {229-244},
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}
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                         Using {UPPAAL} {T}iga},
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  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'07)},
  acronym =             {{FORMATS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4763},
  pages =               {227-240},
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}
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                         with a One-letter Alphabet},
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                         Logic},
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                         ({CONCUR}'96)},
  acronym =             {{CONCUR}'96},
  publisher =           {Springer-Verlag},
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  author =              {Jacquot, Paulin and Wan, Cheng},
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  booktitle =           {{P}roceedings of the 57th {IEEE} {C}onference on
                         {D}ecision and {C}ontrol ({CDC}'18)},
  acronym =             {{CDC}'18},
  publisher =           {IEEE Comp. Soc. Press},
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  school =              {School of Informatics, University of Edinburgh, UK},
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}
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                         Rudolf, Gabor and Zhao, Jihui},
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                         node-wise limited interdiction},
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                         stochastic uncertainty},
  editor =              {Piterman, Nir and Smolka, Scott A.},
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                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'13)},
  acronym =             {{TACAS}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7795},
  pages =               {385-400},
  year =                {2013},
  month =               mar,
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                         Henning and Podelski, Andreas and Behrmann, Gerd},
  title =               {{U}ppaal{\slash}{DMC}~-- Abstraction-Based
                         Heuristics for Directed Model Checking},
  editor =              {Grumberg, Orna and Huth, Michael},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'07)},
  acronym =             {{TACAS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4424},
  pages =               {679-682},
  year =                {2007},
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  editor =              {Albers, Susanne and Marchetti{-}Spaccamela Alberto
                         and Matias, Yossi and Nikoletseas, Sotiris and
                         Thomas, Wolfgang},
  booktitle =           {{P}roceedings of the 36th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'09)~-- Part~{II}},
  acronym =             {{ICALP}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5556},
  pages =               {235-246},
  year =                {2009},
  month =               jul,
}
[KFS+09] Jeroen Kuipers, Janos Flesch, Gijs Schoenmakers et Koos Vrieze. Pure subgame-perfect equilibria in free transition games. European Journal of Operational Research 199(2):442-447. Elsevier, décembre 2009.
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  publisher =           {Elsevier},
  journal =             {European Journal of Operational Research},
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  number =              {2},
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  title =               {Branching Time Temporal Logic and Tree Automata},
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  journal =             {Information and Computation},
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  author =              {Khatib, Oussama},
  title =               {A~unified approach for motion and force control of
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[KHL08] Sebastian Kupferschmid, Jörg Hoffmann et Kim Guldstrand Larsen. Fast Directed Model Checking Via Russian Doll Abstraction. In TACAS'08, Lecture Notes in Computer Science 4963, pages 203-217. Springer-Verlag, mars 2008.
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  author =              {Kupferschmid, Sebastian and Hoffmann, J{\"o}rg and
                         Larsen, Kim Guldstrand},
  title =               {Fast Directed Model Checking Via Russian Doll
                         Abstraction},
  editor =              {Ramakrishnan, C. R. and Rehof, Jakob},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'08)},
  acronym =             {{TACAS}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4963},
  pages =               {203-217},
  year =                {2008},
  month =               mar,
}
[KHM+94] Arjun Kapur, Thomas A. Henzinger, Zohar Manna et Amir Pnueli. Proving Safety Properties of Hybrid Systems. In FTRTFT'94, Lecture Notes in Computer Science 863, pages 431-454. Springer-Verlag, septembre 1994.
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  title =               {Proving Safety Properties of Hybrid Systems},
  editor =              {Langmaack, Hans and de Roever, Willem-Paul and
                         Vytopil, Jan},
  booktitle =           {{P}roceedings of the 3rd {F}ormal {T}echniques in
                         {R}eal-Time and {F}ault-Tolerant {S}ystems
                         ({FTRTFT}'94)},
  acronym =             {{FTRTFT}'94},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {863},
  pages =               {431-454},
  year =                {1994},
  month =               sep,
}
[Kir02] Daniel Kirsten. Alternating tree automata and parity games. In Erich Grädel, Wolfgang Thomas et Thomas Wilke (eds.), Automata, Logics, and Infinite Games, Lecture Notes in Computer Science 2500, pages 153-167. Springer-Verlag, 2002.
@incollection{lncs2500-kirsten,
  author =              {Kirsten, Daniel},
  title =               {Alternating tree automata and parity games},
  editor =              {Gr{\"a}del, Erich and Thomas, Wolfgang and Wilke,
                         Thomas},
  booktitle =           {Automata, Logics, and Infinite Games},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2500},
  pages =               {153-167},
  chapter =             {9},
  year =                {2002},
}
[KJJ02] Andrei A. Krokhin, Peter Jeavons et Peter Jonsson. The Complexity of Constraints on Intervals and Lengths. In STACS'02, Lecture Notes in Computer Science 2285, pages 443-454. Springer-Verlag, mars 2002.
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  author =              {Krokhin, Andrei A. and Jeavons, Peter and Jonsson,
                         Peter},
  title =               {The Complexity of Constraints on Intervals and
                         Lengths},
  editor =              {Alt, Helmut and Ferreira, Afonso},
  booktitle =           {{P}roceedings of the 19th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'02)},
  acronym =             {{STACS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2285},
  pages =               {443-454},
  year =                {2002},
  month =               mar,
}
[KJJ02] Andrei A. Krokhin, Peter Jeavons et Peter Jonsson. The Complexity of Constraints on Intervals and Lengths. In STACS'02, Lecture Notes in Computer Science 2285, pages 443-454. Springer-Verlag, mars 2002.
@inproceedings{stacs2002-KJJ,
  author =              {Krokhin, Andrei A. and Jeavons, Peter and Jonsson,
                         Peter},
  title =               {The Complexity of Constraints on Intervals and
                         Lengths},
  editor =              {Alt, Helmut and Ferreira, Afonso},
  booktitle =           {{P}roceedings of the 19th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'02)},
  acronym =             {{STACS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2285},
  pages =               {443-454},
  year =                {2002},
  month =               mar,
}
[KLL+97] Kåre J. Kristoffersen, François Laroussinie, Kim Guldstrand Larsen, Paul Pettersson et Wang Yi. A Compositional Proof of a Real-Time Mutual Exclusion Protocol. In TAPSOFT'97, Lecture Notes in Computer Science 1214, pages 565-579. Springer-Verlag, avril 1997.
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  author =              {Kristoffersen, K{\aa}re J. and Laroussinie, Fran{\c
                         c}ois and Larsen, Kim Guldstrand and Pettersson,
                         Paul and Yi, Wang},
  title =               {A Compositional Proof of a Real-Time Mutual
                         Exclusion Protocol},
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                         {C}onference {CAAP}{\slash}{FASE} on {T}heory and
                         {P}ractice of {S}oftware {D}evelopment
                         ({TAPSOFT}'97)},
  acronym =             {{TAPSOFT}'97},
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@book{twca1994-Klo,
  author =              {Kloks, Ton},
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  series =              {Lecture Notes in Computer Science},
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  year =                {1994},
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}
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  author =              {Klimo{\v{s}}, Miroslav and Larsen, Kim Guldstrand
                         and {\v{S}}tefa{\v{n}}{\'a}k, Filip and Thaarup,
                         Jeppe},
  title =               {{N}ash Equilibria in Concurrent Priced Games},
  editor =              {Dediu, Adrian Horia and Mart{\'\i}n-Vide, Carlos},
  booktitle =           {{P}roceedings of the 6th {I}nternational
                         {C}onference on {L}anguage and {A}utomata {T}heory
                         and {A}pplications ({LATA}'12)},
  acronym =             {{LATA}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7183},
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  month =               may,
}
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@article{tcs302(1-3)-KLV,
  author =              {Karakostas, George and Lipton, Richard J. and
                         Viglas, Anastasios},
  title =               {On the Complexity of Intersecting Finite State
                         Automata and {NL} versus~{NP}},
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  author =              {Kari, Jarkko and Moore, Cristopher},
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                         Automata},
  editor =              {Ferreira, Afonso and Reichel, Horst},
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                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'01)},
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@inproceedings{concur2002-KM,
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                         r}et{\'\i}nsk{\'y}, Mojm{\'\i}r and Ku{\v c}era,
                         Anton{\'\i}n},
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                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'02)},
  acronym =             {{CONCUR}'02},
  publisher =           {Springer-Verlag},
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[KMM+93] Yonit Kesten, Zohar Manna, Hugh McGuire et Amir Pnueli. A Decision Algorithm for Full Propositional Temporal Logic. In CAV'93, Lecture Notes in Computer Science 697, pages 97-109. Springer-Verlag, juin 1993.
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                         Pnueli, Amir},
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                         Logic},
  editor =              {Courcoubetis, Costas},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'93)},
  acronym =             {{CAV}'93},
  publisher =           {Springer-Verlag},
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  volume =              {697},
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[KMP00] Yonit Kesten, Zohar Manna et Amir Pnueli. Verifying Clocked Transition Systems. Acta Informatica 36(11):837-912. Springer-Verlag, 2000.
@article{acta36(11)-KMP,
  author =              {Kesten, Yonit and Manna, Zohar and Pnueli, Amir},
  title =               {Verifying Clocked Transition Systems},
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  journal =             {Acta Informatica},
  volume =              {36},
  number =              {11},
  pages =               {837-912},
  year =                {2000},
}
[KMP16] Shankara Narayanan Krishna, Khushraj Madnani et Paritosh K. Pandya. Metric Temporal Logic with Counting. In FoSSaCS'16, Lecture Notes in Computer Science 9634, pages 335-352. Springer-Verlag, avril 2016.
@inproceedings{fossacs2016-KMP,
  author =              {Krishna, Shankara Narayanan and Madnani, Khushraj
                         and Pandya, Paritosh K.},
  title =               {Metric Temporal Logic with Counting},
  editor =              {Jacobs, Bart and L{\"o}ding, Christof},
  booktitle =           {{P}roceedings of the 19th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'16)},
  acronym =             {{FoSSaCS}'16},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9634},
  pages =               {335-352},
  year =                {2016},
  month =               apr,
  doi =                 {10.1007/978-3-662-49630-5_20},
}
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@article{mscs29(1)-KMS,
  author =              {Knight, Sophia and Maubert, Bastien and
                         Schwarzentruber, Fran{\c c}ois},
  title =               {Reasoning about knowledge and messages in
                         asynchronous multi-agent systems},
  journal =             {Mathematical Structures in Computer Science},
  volume =              {29},
  number =              {1},
  pages =               {127-168},
  year =                {2019},
  month =               jan,
  doi =                 {10.1017/S0960129517000214},
}
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  author =              {Kr{\'a}l, Daniel and Majerech, Vladan and Sgall,
                         Ji{\v r}{\'\i} and Tich{\'y}, Tom{\'a}{\v s} and
                         Woeginger, Gerhard J.},
  title =               {It is Tough to be a Plumber},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {313},
  number =              {3},
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  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'04)},
  acronym =             {{CONCUR}'04},
  publisher =           {Springer-Verlag},
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  author =              {Knaster, Bronis{\l}aw},
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@inproceedings{cav2006-KNP,
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                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'06)},
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  volume =              {4144},
  pages =               {234-248},
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  month =               jul,
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}
[KNS+02] Marta Kwiatkowska, Gethin Norman, Roberto Segala et Jeremy Sproston. Automatic verification of real-time systems with discrete probability distributions. Theoretical Computer Science 282(1):101-150. Elsevier, juin 2002.
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                         Roberto and Sproston, Jeremy},
  title =               {Automatic verification of real-time systems with
                         discrete probability distributions},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
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  number =              {1},
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  booktitle =           {{P}roceedings of the 7th {B}razilian {S}ymposium on
                         {F}ormal {M}ethods ({SBMF}'04)},
  acronym =             {{SBMF}'04},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {130},
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[Kon27] Dénes Kőnig. Über eine Schlussweise aus dem Endlichen ins Unendliche. Acta litt. sci. Reg. Univ. Hung. Francisco-Josephinae, Sect. sci. math. 3(2-3):121-130. János Bolyai Mathematical Institute, University of Szeged, juin 1927.
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                         of Szeged},
  journal =             {Acta litt. sci. Reg. Univ. Hung.
                         Francisco-Josephinae, Sect. sci. math.},
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                         Vladimiro and Wegener, Ingo},
  booktitle =           {{P}roceedings of the 33rd {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'06))~-- Part~{II}},
  acronym =             {{ICALP}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4052},
  pages =               {336-347},
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[Koy90] Ron Koymans. Specifying Real-Time Properties with Metric Temporal Logic. Real-Time Systems 2(4):255-299. Kluwer Academic, 1990.
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  title =               {Specifying Real-Time Properties with Metric Temporal
                         Logic},
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[Koz83] Dexter C. Kozen. Results on the Propositional μ-calculus. Theoretical Computer Science 27:333-354. Elsevier, 1983.
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[Koz92] Dexter C. Kozen. The design and analysis of algorithms. Springer-Verlag, 1992.
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[Koz06] Dexter C. Kozen. Coinductive Proof Principles for Stochastic Processes. In LICS'06, pages 359-366. IEEE Comp. Soc. Press, juillet 2006.
@inproceedings{lics2006-koz,
  author =              {Kozen, Dexter C.},
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                         Processes},
  booktitle =           {{P}roceedings of the 21st {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'06)},
  acronym =             {{LICS}'06},
  publisher =           {IEEE Comp. Soc. Press},
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[KP95] Yonit Kesten et Amir Pnueli. A Complete Proof Systems for QPTL. In LICS'95, pages 2-12. IEEE Comp. Soc. Press, juin 1995.
@inproceedings{lics1995-KeP,
  author =              {Kesten, Yonit and Pnueli, Amir},
  title =               {A Complete Proof Systems for {QPTL}},
  booktitle =           {{P}roceedings of the 10th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'95)},
  acronym =             {{LICS}'95},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {2-12},
  year =                {1995},
  month =               jun,
}
[KP95] Orna Kupferman et Amir Pnueli. Once and For All. In LICS'95, pages 25-35. IEEE Comp. Soc. Press, juin 1995.
@inproceedings{lics1995-KuP,
  author =              {Kupferman, Orna and Pnueli, Amir},
  title =               {{\emph{Once}} and {\emph{For All}}},
  booktitle =           {{P}roceedings of the 10th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'95)},
  acronym =             {{LICS}'95},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {25-35},
  year =                {1995},
  month =               jun,
}
[KP99] Elias Koutsoupias et Christos H. Papadimitriou. Worst-case equilibria. In STACS'99, Lecture Notes in Computer Science 1563, pages 404-413. Springer-Verlag, mars 1999.
@inproceedings{stacs1999-KP,
  author =              {Koutsoupias, Elias and Papadimitriou, {\relax
                         Ch}ristos H.},
  title =               {Worst-case equilibria},
  editor =              {Meinel, {\relax Ch}ristoph and Tison, Sophie},
  booktitle =           {{P}roceedings of the 16th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'99)},
  acronym =             {{STACS}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1563},
  pages =               {404-413},
  year =                {1999},
  month =               mar,
  doi =                 {10.1007/3-540-49116-3_38},
}
[KP02] Yonit Kesten et Amir Pnueli. Complete Proof System for QPTL. Journal of Logic and Computation 12(5):701-745. Oxford University Press, octobre 2002.
@article{jlc12(5)-KP,
  author =              {Kesten, Yonit and Pnueli, Amir},
  title =               {Complete Proof System for~{QPTL}},
  publisher =           {Oxford University Press},
  journal =             {Journal of Logic and Computation},
  volume =              {12},
  number =              {5},
  pages =               {701-745},
  year =                {2002},
  month =               oct,
  doi =                 {10.1093/logcom/12.5.701},
}
[KP02] Beata Konikowska et Wojciech Penczek. Reducing Model Checking from Multi-Valued CTL* to CTL*. In CONCUR'02, Lecture Notes in Computer Science 2421, pages 226-239. Springer-Verlag, août 2002.
@inproceedings{concur2002-KP,
  author =              {Konikowska, Beata and Penczek, Wojciech},
  title =               {Reducing Model Checking from Multi-Valued
                         {CTL}{\(^*\)} to {CTL}{\(^*\)}},
  editor =              {Brim, Lubo{\v s} and Jan{\v c}ar, Petr and K{\v
                         r}et{\'\i}nsk{\'y}, Mojm{\'\i}r and Ku{\v c}era,
                         Anton{\'\i}n},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'02)},
  acronym =             {{CONCUR}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2421},
  pages =               {226-239},
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}
[KP04] Magdalena Kacprzak et Wojciech Penczek. Unbounded Model Checking for Alternating-Time Temporal Logic. In AAMAS'04, pages 646-653. IEEE Comp. Soc. Press, août 2004.
@inproceedings{aamas2004-KP,
  author =              {Kacprzak, Magdalena and Penczek, Wojciech},
  title =               {Unbounded Model Checking for Alternating-Time
                         Temporal Logic},
  booktitle =           {{P}roceedings of the 3rd {I}nternational {J}oint
                         {C}onference on {A}utonomous {A}gents and
                         {M}ultiagent {S}ystems ({AAMAS}'04)},
  acronym =             {{AAMAS}'04},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {646-653},
  year =                {2004},
  month =               aug,
}
[KP05] Yonit Kesten et Amir Pnueli. A Compositional Approach to CTL* Verification. Theoretical Computer Science 331(2-3):397-428. Elsevier, février 2005.
@article{tcs331(2-3)-KP,
  author =              {Kesten, Yonit and Pnueli, Amir},
  title =               {A Compositional Approach to {CTL}{\(^*\)}
                         Verification},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {331},
  number =              {2-3},
  pages =               {397-428},
  year =                {2005},
  month =               feb,
}
[KP05] Pavel Krčál et Radek Pelánek. On Sampled Semantics of Timed Systems. In FSTTCS'05, Lecture Notes in Computer Science 3821, pages 310-321. Springer-Verlag, décembre 2005.
@inproceedings{fsttcs2005-KP,
  author =              {Kr{\v{c}}{\'{a}}l, Pavel and Pel{\'{a}}nek, Radek},
  title =               {On Sampled Semantics of Timed Systems},
  editor =              {Ramanujam, R. and Sen, Sandeep},
  booktitle =           {{P}roceedings of the 25th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'05)},
  acronym =             {{FSTTCS}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3821},
  pages =               {310-321},
  year =                {2005},
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}
[KP09] Elias Koutsoupias et Christos H. Papadimitriou. Worst-case equilibria. Computer Science Review 3(2):65-69. Mai 2009.
@article{KP-csr09,
  author =              {Koutsoupias, Elias and Papadimitriou, {\relax
                         Ch}ristos H.},
  title =               {Worst-case equilibria},
  journal =             {Computer Science Review},
  volume =              {3},
  number =              {2},
  pages =               {65-69},
  year =                {2009},
  month =               may,
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}
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  author =              {Koutsoupias, Elias and Papakonstantinopoulou, Katia},
  title =               {Contention Issues in Congestion Games},
  editor =              {Czumaj, Artur and Mehlhorn, Kurt and Pitts, Andrew
                         and Wattenhofer, Roger},
  booktitle =           {{P}roceedings of the 39th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'12)~-- Part~{II}},
  acronym =             {{ICALP}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7392},
  pages =               {623-635},
  year =                {2012},
  month =               jul,
  doi =                 {10.1007/978-3-642-31585-5_55},
}
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                         Disjunctive Normalized Equation Systems},
  editor =              {Cook, Byron and Stoller, Scott and Viser, Willem},
  booktitle =           {{P}roceedings of the 3rd {I}nternational {W}orkshop
                         on {R}untime {V}erification ({RV}'03)},
  acronym =             {{RV}'03},
  publisher =           {Elsevier},
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  number =              {2},
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                         Glynn},
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                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'98)},
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                         r}et{\'\i}nsk{\'y}, Mojm{\'\i}r and Ku{\v c}era,
                         Anton{\'\i}n},
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                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'02)},
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}
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  author =              {Ku{\v c}era, Anton{\'\i}n and Strej{\v c}ek, Jan},
  title =               {The Stuterring Principle Revisited: On the
                         Expressiveness of Nested~{X} and~{U} Operators in
                         the Logic {LTL}},
  number =              {FIMU-RS-2002-03},
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  month =               jul,
  institution =         {Faculty of Informatics, Masaryk University, Brno,
                         Czech Republic},
  type =                {Technical Report},
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                         {T}rends in {T}heory and {P}ractice of {I}nformatics
                         ({SOFSEM}'05)},
  acronym =             {{SOFSEM}'05},
  publisher =           {Springer-Verlag},
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                         {P}rogramming ({ICALP}'15)~-- Part~{II}},
  acronym =             {{ICALP}'15},
  publisher =           {Springer-Verlag},
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  volume =              {9135},
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                         Matching},
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                         {I}nformation {R}etrieval {S}ymposium \&
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                         ({SPIRE/CRIWG}'99)},
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                         {M}odels ({RP}'12)},
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[Kup95] Orna Kupferman. Augmenting Branching Temporal Logics with Existential Quantification over Atomic Propositions. In CAV'95, Lecture Notes in Computer Science 939, pages 325-338. Springer-Verlag, juillet 1995.
@inproceedings{cav1995-Kup,
  author =              {Kupferman, Orna},
  title =               {Augmenting Branching Temporal Logics with
                         Existential Quantification over Atomic Propositions},
  editor =              {Wolper, Pierre},
  booktitle =           {{P}roceedings of the 7th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'95)},
  acronym =             {{CAV}'95},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {939},
  pages =               {325-338},
  year =                {1995},
  month =               jul,
  doi =                 {10.1007/3-540-60045-0_60},
}
[Kup95] Orna Kupferman. Model Checking for Branching-Time Temporal Logics. PhD thesis, Israel Institute of Technology, Haifa, Israel, 1995.
@phdthesis{phd-kupferman,
  author =              {Kupferman, Orna},
  title =               {Model Checking for Branching-Time Temporal Logics},
  year =                {1995},
  school =              {Israel Institute of Technology, Haifa, Israel},
  type =                {{PhD} thesis},
}
[Kup99] Orna Kupferman. Augmenting Branching Temporal Logics with Existential Quantification over Atomic Propositions. Journal of Logic and Computation 9(2):135-147. Oxford University Press, avril 1999.
@article{jlc9(2)-Kup,
  author =              {Kupferman, Orna},
  title =               {Augmenting Branching Temporal Logics with
                         Existential Quantification over Atomic Propositions},
  publisher =           {Oxford University Press},
  journal =             {Journal of Logic and Computation},
  volume =              {9},
  number =              {2},
  pages =               {135-147},
  year =                {1999},
  month =               apr,
}
[Kur02] Agi Kurucz. S5 × S5 × S5 lacks the finite model property. In AIML'00, pages 321-327. World Scientific, 2002.
@inproceedings{aiml2000-Kur,
  author =              {Kurucz, Agi},
  title =               {{{\(S5\times S5\times S5\)}} lacks the finite model
                         property},
  editor =              {de Rijke, Marteen and Wansing, Heinrich and Wolter,
                         Frank and Zakharyaschev, Michael},
  booktitle =           {{P}roceedings of the 3rd {W}orkshop on {A}dvances in
                         {M}odal {L}ogic ({AIML}'00)},
  acronym =             {{AIML}'00},
  publisher =           {World Scientific},
  pages =               {321-327},
  year =                {2002},
  confyear =            {2000},
  confmonth =           {10},
}
[KV97] Orna Kupferman et Moshe Y. Vardi. Weak Alternating Automata Are Not That Weak. In ISTCS'97, pages 147-158. IEEE Comp. Soc. Press, juin 1997.
@inproceedings{istcs1997-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {Weak Alternating Automata Are Not That Weak},
  booktitle =           {{P}roceedings of the 5th {I}srael {S}ymposium on
                         {T}heory of {C}omputing {S}ystems ({ISTCS}'97)},
  acronym =             {{ISTCS}'97},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {147-158},
  year =                {1997},
  month =               jun,
}
[KV97] Orna Kupferman et Moshe Y. Vardi. Module Checking Revisited. In CAV'97, Lecture Notes in Computer Science 1254, pages 36-47. Springer-Verlag, juin 1997.
@inproceedings{cav1997-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {Module Checking Revisited},
  editor =              {Grumberg, Orna},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'97)},
  acronym =             {{CAV}'97},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1254},
  pages =               {36-47},
  year =                {1997},
  month =               jun,
}
[KV98] Orna Kupferman et Moshe Y. Vardi. Freedom, Weakness, and Determinism: From Linear-Time to Branching-Time. In LICS'98, pages 81-92. IEEE Comp. Soc. Press, juin 1998.
@inproceedings{lics1998-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {Freedom, Weakness, and Determinism: From Linear-Time
                         to Branching-Time},
  booktitle =           {{P}roceedings of the 13th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'98)},
  acronym =             {{LICS}'98},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {81-92},
  year =                {1998},
  month =               jun,
}
[KV98] Orna Kupferman et Moshe Y. Vardi. Weak Alternating Automata and Tree Automata Emptiness. In STOC'98, pages 224-233. ACM Press, mai 1998.
@inproceedings{stoc1998-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {Weak Alternating Automata and Tree Automata
                         Emptiness},
  booktitle =           {{P}roceedings of the 30th {A}nnual {ACM} {S}ymposium
                         on the {T}heory of {C}omputing ({STOC}'98)},
  acronym =             {{STOC}'98},
  publisher =           {ACM Press},
  pages =               {224-233},
  year =                {1998},
  month =               may,
}
[KV99] Orna Kupferman et Moshe Y. Vardi. Model Checking of Safety Properties. In CAV'99, Lecture Notes in Computer Science 1633, pages 172-183. Springer-Verlag, juillet 1999.
@inproceedings{cav1999-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {Model Checking of Safety Properties},
  editor =              {Halbwachs, Nicolas and Peled, Doron A.},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'99)},
  acronym =             {{CAV}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1633},
  pages =               {172-183},
  year =                {1999},
  month =               jul,
}
[KV99] Orna Kupferman et Moshe Y. Vardi. Robust Satisfaction. In CONCUR'99, Lecture Notes in Computer Science 1664, pages 383-398. Springer-Verlag, août 1999.
@inproceedings{concur1999-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {Robust Satisfaction},
  editor =              {Baeten, Jos C. M. and Mauw, Sjouke},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'99)},
  acronym =             {{CONCUR}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1664},
  pages =               {383-398},
  year =                {1999},
  month =               aug,
}
[KV00] Orna Kupferman et Moshe Y. Vardi. An Automata-Theoretic Approach to Reasoning about Infinite-State Systems. In CAV'00, Lecture Notes in Computer Science 1855, pages 36-52. Springer-Verlag, juillet 2000.
@inproceedings{cav2000-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {An Automata-Theoretic Approach to Reasoning about
                         Infinite-State Systems},
  editor =              {Emerson, E. Allen and Sistla, A. Prasad},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'00)},
  acronym =             {{CAV}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1855},
  pages =               {36-52},
  year =                {2000},
  month =               jul,
}
[KV01] Orna Kupferman et Moshe Y. Vardi. Model Checking of Safety Properties. Formal Methods in System Design 19(3):291-314. Kluwer Academic, novembre 2001.
@article{fmsd19(3)-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {Model Checking of Safety Properties},
  publisher =           {Kluwer Academic},
  journal =             {Formal Methods in System Design},
  volume =              {19},
  number =              {3},
  pages =               {291-314},
  year =                {2001},
  month =               nov,
}
[KV01] Orna Kupferman et Moshe Y. Vardi. Synthesizing Distributed Systems. In LICS'01, pages 389-398. IEEE Comp. Soc. Press, juin 2001.
@inproceedings{lics2001-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {Synthesizing Distributed Systems},
  booktitle =           {{P}roceedings of the 16th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'01)},
  acronym =             {{LICS}'01},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {389-398},
  year =                {2001},
  month =               jun,
  doi =                 {10.1109/LICS.2001.932514},
}
[KV03] Orna Kupferman et Moshe Y. Vardi. Safraless Decision Procedures. In FOCS'03. IEEE Comp. Soc. Press, octobre 2003.
@inproceedings{focs2003-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {Safraless Decision Procedures},
  booktitle =           {{P}roceedings of the 44th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'03)},
  acronym =             {{FOCS}'03},
  publisher =           {IEEE Comp. Soc. Press},
  year =                {2003},
  month =               oct,
}
[KV03] Orna Kupferman et Moshe Y. Vardi. Π2∩Σ2 ≡ AFMC. In ICALP'03, Lecture Notes in Computer Science 2719, pages 697-713. Springer-Verlag, juin 2003.
@inproceedings{icalp2003-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {{{\(\Pi_2\cap\Sigma_2 \equiv \textup{AFMC}\)}}},
  editor =              {Baeten, Jos C. M. and Lenstra, Jan Karel and Parrow,
                         Joachim and Woeginger, Gerhard J.},
  booktitle =           {{P}roceedings of the 30th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'03)},
  acronym =             {{ICALP}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2719},
  pages =               {697-713},
  year =                {2003},
  month =               jun,
}
[KV06] Orna Kupferman et Moshe Y. Vardi. Memoryful Branching-Time Logic. In LICS'06, pages 265-274. IEEE Comp. Soc. Press, juillet 2006.
@inproceedings{lics2006-KV,
  author =              {Kupferman, Orna and Vardi, Moshe Y.},
  title =               {Memoryful Branching-Time Logic},
  booktitle =           {{P}roceedings of the 21st {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'06)},
  acronym =             {{LICS}'06},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {265-274},
  year =                {2006},
  month =               jul,
}
[KVW00] Orna Kupferman, Moshe Y. Vardi et Pierre Wolper. An Automata-Theoretic Approach to Branching-Time Model-Checking. Journal of the ACM 47(2):312-360. ACM Press, mars 2000.
@article{jacm47(2)-KVW,
  author =              {Kupferman, Orna and Vardi, Moshe Y. and Wolper,
                         Pierre},
  title =               {An Automata-Theoretic Approach to Branching-Time
                         Model-Checking},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {47},
  number =              {2},
  pages =               {312-360},
  year =                {2000},
  month =               mar,
}
[KVW01] Orna Kupferman, Moshe Y. Vardi et Pierre Wolper. Module Checking. Information and Computation 164(2):322-344. Academic Press, janvier 2001.
@article{icomp164(2)-KVW,
  author =              {Kupferman, Orna and Vardi, Moshe Y. and Wolper,
                         Pierre},
  title =               {Module Checking},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {164},
  number =              {2},
  pages =               {322-344},
  year =                {2001},
  month =               jan,
}
[KVW15] Igor V. Konnov, Helmut Veith et Josef Widder. SMT and POR bea Counter Abstraction: Parameterized Model Checking of Threshold-Based Distributed Algorithms. In CAV'15, Lecture Notes in Computer Science 9206, pages 85-102. Springer-Verlag, juillet 2015.
@inproceedings{cav2015-KVW,
  author =              {Konnov, Igor V. and Veith, Helmut and Widder, Josef},
  title =               {{SMT} and {POR} bea Counter Abstraction:
                         Parameterized Model Checking of Threshold-Based
                         Distributed Algorithms},
  editor =              {Kroening, Daniel and Pasareanu, Corina S.},
  booktitle =           {{P}roceedings of the 27th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'15)},
  acronym =             {{CAV}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9206},
  pages =               {85-102},
  year =                {2015},
  month =               jul,
  doi =                 {10.1007/978-3-319-21690-4_6},
}
[KW03] Detlef Kähler et Thomas Wilke. Program complexity of dynamic LTL model checking. In CSL'03, Lecture Notes in Computer Science 2803, pages 271-284. Springer-Verlag, août 2003.
@inproceedings{csl2003-KW,
  author =              {K{\"a}hler, Detlef and Wilke, Thomas},
  title =               {Program complexity of dynamic {LTL} model checking},
  editor =              {Baaz, Matthias and Makowsky, Johann A.},
  booktitle =           {{P}roceedings of the 17th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'03)},
  acronym =             {{CSL}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2803},
  pages =               {271-284},
  year =                {2003},
  month =               aug,
  doi =                 {10.1007/978-3-540-45220-1_23},
}
[KW05] Shmuel Tomi Klein et Yair Wiseman. Parallel Lempel-Ziv Coding. Discrete Applied Mathematics 146(2):180-191. Elsevier, mars 2005.
@article{dam146(2)-KW,
  author =              {Klein, Shmuel Tomi and Wiseman, Yair},
  title =               {Parallel {L}empel-{Z}iv Coding},
  publisher =           {Elsevier},
  journal =             {Discrete Applied Mathematics},
  volume =              {146},
  number =              {2},
  pages =               {180-191},
  year =                {2005},
  month =               mar,
}
[KWN+08] Sebastian Kupferschmid, Martin Wehrle, Bernhard Nebel et Andreas Podelski. Faster Than Uppaal?. In CAV'08, Lecture Notes in Computer Science 5123, pages 552-555. Springer-Verlag, juillet 2008.
@inproceedings{cav2008KWNP,
  author =              {Kupferschmid, Sebastian and Wehrle, Martin and
                         Nebel, Bernhard and Podelski, Andreas},
  title =               {Faster Than {U}ppaal?},
  editor =              {Gupta, Aarti and Malik, Sharad},
  booktitle =           {{P}roceedings of the 20th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'08)},
  acronym =             {{CAV}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5123},
  pages =               {552-555},
  year =                {2008},
  month =               jul,
}
[KWZ+03] Agi Kurucz, Frank Wolter, Michael Zakharyaschev et Dov M. Gabbay. Many-Dimensional Modal Logics: Theory and Applications. Elsevier, 2003.
@book{mdml2003-KWZG,
  author =              {Kurucz, Agi and Wolter, Frank and Zakharyaschev,
                         Michael and Gabbay, Dov M.},
  title =               {Many-Dimensional Modal Logics: Theory and
                         Applications},
  publisher =           {Elsevier},
  year =                {2003},
}
L
[La01] Salvatore La Torre. Verification of Reactive Systems and Decision Problems in Temporal Logics. PhD thesis, University of Pennsylvania, 2001.
@phdthesis{phd-latorre,
  author =              {La{~}Torre, Salvatore},
  title =               {Verification of Reactive Systems and Decision
                         Problems in Temporal Logics},
  year =                {2001},
  school =              {University of Pennsylvania},
}
[Lam80] Leslie Lamport. ``Sometimes'' is sometimes ``Not Never''. In POPL'80, pages 174-185. ACM Press, janvier 1980.
@inproceedings{popl1980-Lam,
  author =              {Lamport, Leslie},
  title =               {``{S}ometimes'' is sometimes ``{N}ot {N}ever''},
  booktitle =           {Conference Record of the 7th {ACM} {S}ymposium on
                         {P}rinciples of {P}rogramming {L}anguages
                         ({POPL}'80)},
  acronym =             {{POPL}'80},
  publisher =           {ACM Press},
  pages =               {174-185},
  year =                {1980},
  month =               jan,
}
[Lam83] Leslie Lamport. What good is Temporal Logic?. In WCC'83, pages 657-668. North-Holland/IFIP, septembre 1983.
@inproceedings{ifipwcc1983-Lam,
  author =              {Lamport, Leslie},
  title =               {What good is Temporal Logic?},
  editor =              {Mason, R. E. A.},
  booktitle =           {{I}nformation {P}rocessing~83~-- {P}roceedings of
                         the 9th {IFIP} {W}orld {C}omputer {C}ongress
                         ({WCC}'83)},
  acronym =             {{WCC}'83},
  publisher =           {North-Holland/IFIP},
  pages =               {657-668},
  year =                {1983},
  month =               sep,
}
[Lam87] Leslie Lamport. A Fast Mutual Exclusion Algorithm. ACM Transactions on Computer Systems 5(1):1-11. ACM Press, février 1987.
@article{tocs5(1)-Lam,
  author =              {Lamport, Leslie},
  title =               {A~Fast Mutual Exclusion Algorithm},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computer Systems},
  volume =              {5},
  number =              {1},
  pages =               {1-11},
  year =                {1987},
  month =               feb,
}
[Lan02] Martin Lange. Local Model Checking Games for Fixed Point Logic with Chop. In CONCUR'02, Lecture Notes in Computer Science 2421, pages 240-254. Springer-Verlag, août 2002.
@inproceedings{concur2002-Lan,
  author =              {Lange, Martin},
  title =               {Local Model Checking Games for Fixed Point Logic
                         with Chop},
  editor =              {Brim, Lubo{\v s} and Jan{\v c}ar, Petr and K{\v
                         r}et{\'\i}nsk{\'y}, Mojm{\'\i}r and Ku{\v c}era,
                         Anton{\'\i}n},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'02)},
  acronym =             {{CONCUR}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2421},
  pages =               {240-254},
  year =                {2002},
  month =               aug,
}
[Lan02] Martin Lange. Alternating Context-Free Languages and Linear Time μ-calculus with Sequential Composition. In EXPRESS'02, Electronic Notes in Theoretical Computer Science 68(2), pages 71-87. Elsevier, août 2002.
@inproceedings{express2002-Lan,
  author =              {Lange, Martin},
  title =               {Alternating Context-Free Languages and Linear Time
                         {\(\mu\)}-calculus with Sequential Composition},
  editor =              {Nestmann, Uwe and Panangaden, Prakash},
  booktitle =           {{P}roceedings of the 9th {I}nternational {W}orkshop
                         on {E}xpressiveness in {C}oncurrency ({EXPRESS}'02)},
  acronym =             {{EXPRESS}'02},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {68},
  number =              {2},
  pages =               {71-87},
  year =                {2002},
  month =               aug,
}
[Lan05] Martin Lange. Weak Automata for the Linear Time μ-Calculus. In VMCAI'05, Lecture Notes in Computer Science 3385, pages 267-281. Springer-Verlag, janvier 2005.
@inproceedings{vmcai2005-Lan,
  author =              {Lange, Martin},
  title =               {Weak Automata for the Linear Time
                         {\(\mu\)}-Calculus},
  editor =              {Cousot, Radhia},
  booktitle =           {{P}roceedings of the 6th {I}nternational {W}orkshop
                         on {V}erification, {M}odel {C}hecking, and
                         {A}bstract {I}nterpretation ({VMCAI}'05)},
  acronym =             {{VMCAI}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3385},
  pages =               {267-281},
  year =                {2005},
  month =               jan,
}
[Lan07] Martin Lange. Linear-Time Logics Around PSL: Complexity, Expressiveness, and a Little Bit of Succinctness. In CONCUR'07, Lecture Notes in Computer Science 4703, pages 90-104. Springer-Verlag, septembre 2007.
@inproceedings{concur2007-Lan,
  author =              {Lange, Martin},
  title =               {Linear-Time Logics Around~{PSL}: Complexity,
                         Expressiveness, and a Little Bit of Succinctness},
  editor =              {Caires, Lu{\'\i}s and Vasconcelos, Vasco T.},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'07)},
  acronym =             {{CONCUR}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4703},
  pages =               {90-104},
  year =                {2007},
  month =               sep,
}
[Lan08] Martin Lange. A purely model-theoretic proof of the exponential succinctness gap between CTL+ and CTL. Information Processing Letters 108(5):308-312. Elsevier, novembre 2008.
@article{ipl108(5)-Lan,
  author =              {Lange, Martin},
  title =               {A purely model-theoretic proof of the exponential
                         succinctness gap between {CTL\(^{+}\)} and {CTL}},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {108},
  number =              {5},
  pages =               {308-312},
  year =                {2008},
  month =               nov,
}
[Lar86] Kim Guldstrand Larsen. Context-dependent bisimulation between processes. PhD thesis, School of Informatics, University of Edinburgh, UK, 1986.
@phdthesis{phd-larsen,
  author =              {Larsen, Kim Guldstrand},
  title =               {Context-dependent bisimulation between processes},
  year =                {1986},
  school =              {School of Informatics, University of Edinburgh, UK},
}
[Lar90] Kim Guldstrand Larsen. Modal Specifications. In AVMFSS'89, Lecture Notes in Computer Science 407, pages 232-246. Springer-Verlag, 1990.
@inproceedings{avmfss1989-Lar,
  author =              {Larsen, Kim Guldstrand},
  title =               {Modal Specifications},
  editor =              {Sifakis, Joseph},
  booktitle =           {{P}roceedings of the {I}nternational {W}orkshop on
                         {A}utomatic {V}erification {M}ethods for {F}inite
                         {S}tate {S}ystems ({AVMFSS}'89)},
  acronym =             {{AVMFSS}'89},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {407},
  pages =               {232-246},
  year =                {1990},
  confyear =            {1989},
  confmonth =           {6},
}
[Lar92] Kim Skak Larsen. Length of Maximal Common Subsequences. Technical Report PB-426, DAIMI, Faculty of Science, University of Aarhus, Denmark, octobre 1992.
@techreport{daimi-PB426,
  author =              {Larsen, Kim Skak},
  title =               {Length of Maximal Common Subsequences},
  number =              {PB-426},
  year =                {1992},
  month =               oct,
  institution =         {DAIMI, Faculty of Science, University of Aarhus,
                         Denmark},
  type =                {Technical Report},
}
[Lar94] François Laroussinie. Logiques temporelles avec passé pour la spécification et la vérification des systèmes réactifs. Thèse de doctorat, INPG, 1994.
@phdthesis{phd-laroussinie,
  author =              {Laroussinie, Fran{\c c}ois},
  title =               {Logiques temporelles avec pass{\'e} pour la
                         sp{\'e}cification et la v{\'e}rification des
                         syst{\`e}mes r{\'e}actifs},
  year =                {1994},
  school =              {INPG},
  type =                {Th\`ese de doctorat},
}
[Lar95] François Laroussinie. About the Expressive Power of CTL Combinators. Information Processing Letters 54(6):343-345. Elsevier, juin 1995.
@article{ipl54(6)-Lar,
  author =              {Laroussinie, Fran{\c c}ois},
  title =               {About the Expressive Power of {CTL} Combinators},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {54},
  number =              {6},
  pages =               {343-345},
  year =                {1995},
  month =               jun,
}
[Las02] Sławomir Lasota. Decidability of Strong Bisimilarity for Timed BPP. In CONCUR'02, Lecture Notes in Computer Science 2421, pages 562-579. Springer-Verlag, août 2002.
@inproceedings{concur2002-Las,
  author =              {Lasota, S{\l}awomir},
  title =               {Decidability of Strong Bisimilarity for Timed {BPP}},
  editor =              {Brim, Lubo{\v s} and Jan{\v c}ar, Petr and K{\v
                         r}et{\'\i}nsk{\'y}, Mojm{\'\i}r and Ku{\v c}era,
                         Anton{\'\i}n},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'02)},
  acronym =             {{CONCUR}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2421},
  pages =               {562-579},
  year =                {2002},
  month =               aug,
}
[LBB+01] Kim Guldstrand Larsen, Gerd Behrmann, Ed Brinksma, Ansgar Fehnker, Thomas Hune, Paul Pettersson et Judi Romijn. As Cheap as Possible: Efficient Cost-Optimal Reachability for Priced Timed Automata. In CAV'01, Lecture Notes in Computer Science 2102, pages 493-505. Springer-Verlag, juillet 2001.
@inproceedings{cav2001-LBBFHPR,
  author =              {Larsen, Kim Guldstrand and Behrmann, Gerd and
                         Brinksma, Ed and Fehnker, Ansgar and Hune, Thomas
                         and Pettersson, Paul and Romijn, Judi},
  title =               {As~Cheap as Possible: Efficient Cost-Optimal
                         Reachability for Priced Timed Automata},
  editor =              {Berry, G{\'e}rard and Comon, Hubert and Finkel,
                         Alain},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'01)},
  acronym =             {{CAV}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2102},
  pages =               {493-505},
  year =                {2001},
  month =               jul,
  doi =                 {10.1007/3-540-44585-4_47},
}
[LD03] Cullen Linn et Saumya Debray. Obfuscation of Executable Code to Improve Resistance to Static Disassembly. In CCS'03, pages 290-299. ACM Press, octobre 2003.
@inproceedings{ccs2003-LD,
  author =              {Linn, Cullen and Debray, Saumya},
  title =               {Obfuscation of Executable Code to Improve Resistance
                         to Static Disassembly},
  editor =              {Jajodia, Sushil and Atluri, Vijayalakshmi and
                         Jaeger, Trent},
  booktitle =           {{P}roceedings of the 10th {C}onference on {C}omputer
                         and {C}ommunications {S}ecurity ({CCS}'03)},
  acronym =             {{CCS}'03},
  publisher =           {ACM Press},
  pages =               {290-299},
  year =                {2003},
  month =               oct,
}
[LDW+19] Vincent Langenfeld, Daniel Dietsch, Bernd Westphal, Jochen Hoenicke et Amalinda Post. Scalable Analysis of Real-Time Requirements. In RE'19, pages 234-244. IEEE Comp. Soc. Press, septembre 2019.
@inproceedings{re2019-LDWHP,
  author =              {Langenfeld, Vincent and Dietsch, Daniel and
                         Westphal, Bernd and Hoenicke, Jochen and Post,
                         Amalinda},
  title =               {Scalable Analysis of Real-Time Requirements},
  editor =              {Damian, Daniela E. and Perini, Anna and Lee,
                         Seok-Won},
  booktitle =           {{P}roceedings of the 27th {I}nternaitonal
                         {R}equirements Engineering {C}onference ({RE}'19)},
  acronym =             {{RE}'19},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {234-244},
  year =                {2019},
  month =               sep,
  doi =                 {10.1109/RE.2019.00033},
}
[Lei81] Ernst Leiss. Succinct representation of regular languages by boolean automata. Theoretical Computer Science 13(3):323-330. Elsevier, 1981.
@article{tcs13(3)-Lei,
  author =              {Leiss, Ernst},
  title =               {Succinct representation of regular languages by
                         boolean automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {13},
  number =              {3},
  pages =               {323-330},
  year =                {1981},
}
[Ler03] Jérôme Leroux. Algorithmique de la vérification des systèmes à compteurs. Approximation et accélération. Implémentation de l'outil FAST. Thèse de doctorat, Lab. Spécification & Vérification, ENS Cachan, France, Décembre 2003.
@phdthesis{phd-leroux,
  author =              {Leroux, J{\'e}r{\^o}me},
  title =               {Algorithmique de la v{\'e}rification des
                         syst{\`e}mes {\`a} compteurs. Approximation et
                         acc{\'e}l{\'e}ration. Impl{\'e}mentation de l'outil
                         {FAST}},
  year =                {2003},
  month =               dec,
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {Th\`ese de doctorat},
}
[LFM+16] Adrien Le Coënt, Laurent Fribourg, Nicolas Markey, Florian De Vuyst et Ludovic Chamoin. Distributed Synthesis of State-Dependent Switching Control. In RP'16, Lecture Notes in Computer Science 9899, pages 119-133. Springer-Verlag, septembre 2016.
Résumé

We present a correct-by-design method of state-dependent control synthesis for linear discrete-time switching systems. Given an objective region R of the state space, the method builds a capture set S and a control which steers any element of S into R. The method works by iterated backward reachability from R. More precisely, S is given as a parametric extension of R, and the maximum value of the parameter is solved by linear programming. The method can also be used to synthesize a stability control which maintains indefinitely within R all the states starting at R. We explain how the synthesis method can be performed in a distributed manner. The method has been implemented and successfully applied to the synthesis of a distributed control of a concrete floor heating system with 11 rooms and 211 = 2048 switching modes.

@inproceedings{rp2016-LFMDC,
  author =              {Le{~}Co{\"e}nt, Adrien and Fribourg, Laurent and
                         Markey, Nicolas and De{~}Vuyst, Florian and Chamoin,
                         Ludovic},
  title =               {Distributed Synthesis of State-Dependent Switching
                         Control},
  editor =              {Larsen, Kim Guldstrand and Srba, Ji{\v r}{\'\i}},
  booktitle =           {{P}roceedings of the 10th {W}orkshop on
                         {R}eachability {P}roblems in {C}omputational
                         {M}odels ({RP}'16)},
  acronym =             {{RP}'16},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9899},
  pages =               {119-133},
  year =                {2016},
  month =               sep,
  doi =                 {10.1007/978-3-319-45994-3_9},
  abstract =            {We present a correct-by-design method of
                         state-dependent control synthesis for linear
                         discrete-time switching systems. Given an objective
                         region~\(R\) of the state space, the method builds a
                         capture set~\(S\) and a control which steers any
                         element of~\(S\) into~\(R\). The method works by
                         iterated backward reachability from~\(R\). More
                         precisely, \(S\)~is given as a parametric extension
                         of~\(R\), and the maximum value of the parameter is
                         solved by linear programming. The method can also be
                         used to synthesize a stability control which
                         maintains indefinitely within~\(R\) all the states
                         starting at~\(R\). We~explain how the synthesis
                         method can be performed in a distributed manner. The
                         method has been implemented and successfully applied
                         to the synthesis of a distributed control of a
                         concrete floor heating system with 11 rooms and
                         \(2^{11} = 2048\) switching modes.},
}
[LFM+18] Adrien Le Coënt, Laurent Fribourg, Nicolas Markey, Florian De Vuyst et Ludovic Chamoin. Distributed Synthesis of State-Dependent Switching Control. Theoretical Computer Science 750:53-68. Elsevier, novembre 2018.
Résumé

We present a correct-by-design method of state-dependent control synthesis for sampled switching systems. Given a target region R of the state space, our method builds a capture set S and a control that steers any element of S into R. The method works by iterated backward reachability from R. It is also used to synthesize a recurrence control that makes any state of R return to R infinitely often. We explain how the synthesis method can be performed in a compositional manner, and apply it to the synthesis of a compositional control for a concrete floor-heating system with 11 rooms and up to 211=2048 switching modes.

@article{tcs750()-LFMDC,
  author =              {Le{~}Co{\"e}nt, Adrien and Fribourg, Laurent and
                         Markey, Nicolas and De{~}Vuyst, Florian and Chamoin,
                         Ludovic},
  title =               {Distributed Synthesis of State-Dependent Switching
                         Control},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {750},
  pages =               {53-68},
  year =                {2018},
  month =               nov,
  doi =                 {10.1016/j.tcs.2018.01.021},
  abstract =            {We present a correct-by-design method of
                         state-dependent control synthesis for sampled
                         switching systems. Given a target region~\(R\) of
                         the state space, our~method builds a capture
                         set~\(S\) and a~control that steers any element
                         of~\(S\) into~\(R\). The~method works by iterated
                         backward reachability from~\(R\). It~is also used to
                         synthesize a recurrence control that makes any state
                         of~\(R\) return to~\(R\) infinitely often.
                         We~explain how the synthesis method can be performed
                         in a compositional manner, and apply it to the
                         synthesis of a compositional control for a concrete
                         floor-heating system with 11~rooms and up to
                         \(2^{11}=2048\) switching modes.},
}
[Lim05] Nutan Limaye. Parallel Complexity Classes Centered around LOGCFL. Master's thesis, Anna University, Chennai, India, Avril 2005.
@mastersthesis{master05-limaye,
  author =              {Limaye, Nutan},
  title =               {Parallel Complexity Classes Centered around
                         {LOGCFL}},
  year =                {2005},
  month =               apr,
  school =              {Anna University, Chennai, India},
}
[LL98] François Laroussinie et Kim Guldstrand Larsen. CMC: A Tool for Compositional Model-Checking of Real-Time Systems. In FORTE/PSTV'98, IFIP Conference Proceedings 135, pages 439-456. Kluwer Academic, octobre 1998.
@inproceedings{forte1998-LL,
  author =              {Laroussinie, Fran{\c c}ois and Larsen, Kim
                         Guldstrand},
  title =               {{CMC}: A~Tool for Compositional Model-Checking of
                         Real-Time Systems},
  editor =              {Budkowski, Stanislaw and Cavalli, Anna R. and Najm,
                         Elie},
  booktitle =           {{P}roceedings of the {IFIP} {TC6} {WG}6.1 {J}oint
                         {I}nternational {C}onference on {F}ormal
                         {D}escription {T}echniques for {D}istributed
                         {S}ystems and {C}ommunication {P}rotocols
                         ({FORTE}'98) and {P}rotocol {S}pecification,
                         {T}esting and {V}erification ({PSTV}'98)},
  acronym =             {{FORTE/PSTV}'98},
  publisher =           {Kluwer Academic},
  series =              {IFIP Conference Proceedings},
  volume =              {135},
  pages =               {439-456},
  year =                {1998},
  month =               oct,
}
[LLH18] Stéphane Lafortune, Feng Lin et Christoforos N. Hadjicostis. On the history of diagnosability and opacity in discrete event systems. Annual Reviews in Control 45:257-266. Elsevier, 2018.
@article{aric45()-LLH,
  author =              {Lafortune, St{\'e}phane and Lin, Feng and
                         Hadjicostis, Christoforos N.},
  title =               {On~the history of diagnosability and opacity in
                         discrete event systems},
  publisher =           {Elsevier},
  journal =             {Annual Reviews in Control},
  volume =              {45},
  pages =               {257-266},
  year =                {2018},
  doi =                 {10.1016/j.arcontrol.2018.04.002},
}
[LLP+97] Kim Guldstrand Larsen, Fredrik Larsson, Paul Pettersson et Wang Yi. Efficient verification of real-time systems: compact data structure and state-space reduction. In RTSS'97, pages 14-24. IEEE Comp. Soc. Press, décembre 1997.
@inproceedings{rtss1997-LLPY,
  author =              {Larsen, Kim Guldstrand and Larsson, Fredrik and
                         Pettersson, Paul and Yi, Wang},
  title =               {Efficient verification of real-time systems: compact
                         data structure and state-space reduction},
  booktitle =           {{P}roceedings of the 18th {S}ymposium on {R}eal-Time
                         {S}ystems ({RTSS}'97)},
  acronym =             {{RTSS}'97},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {14-24},
  year =                {1997},
  month =               dec,
}
[LLT+14] Kim Guldstrand Larsen, Axel Legay, Louis-Marie Traonouez et Andrzej Wąsowski. Robust synthesis for real-time systems. Theoretical Computer Science 515:96-122. Elsevier, janvier 2014.
@article{tcs515-LLTW,
  author =              {Larsen, Kim Guldstrand and Legay, Axel and
                         Traonouez, Louis-Marie and W{\k a}sowski, Andrzej},
  title =               {Robust synthesis for real-time systems},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {515},
  pages =               {96-122},
  year =                {2014},
  month =               jan,
}
[LLW95] François Laroussinie, Kim Guldstrand Larsen et Carsten Weise. From Timed Automata to Logic – and Back. In MFCS'95, Lecture Notes in Computer Science 969, pages 529-539. Springer-Verlag, août 1995.
@inproceedings{mfcs1995-LLW,
  author =              {Laroussinie, Fran{\c c}ois and Larsen, Kim
                         Guldstrand and Weise, Carsten},
  title =               {From Timed Automata to Logic~-- and Back},
  editor =              {Wiedermann, Jir{\'\i} and H{\'a}jek, Petr},
  booktitle =           {{P}roceedings of the 20th {I}nternational
                         {S}ymposium on {M}athematical {F}oundations of
                         {C}omputer {S}cience ({MFCS}'95)},
  acronym =             {{MFCS}'95},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {969},
  pages =               {529-539},
  year =                {1995},
  month =               aug,
  doi =                 {10.1007/3-540-60246-1_158},
}
[LLZ15] Kim Guldstrand Larsen, Simon Laursen et Martin Zimmermann. Limit Your Consumption! Finding Bounds in Average-energy Games. Research Report 1510.05774, arXiv, octobre 2015.
@techreport{arxiv-1510.05774,
  author =              {Larsen, Kim Guldstrand and Laursen, Simon and
                         Zimmermann, Martin},
  title =               {Limit Your Consumption! Finding Bounds in
                         Average-energy Games},
  number =              {1510.05774},
  year =                {2015},
  month =               oct,
  institution =         {arXiv},
  type =                {Research Report},
}
[LM02] Christopher Lynch et Barbara Morawska. Automatic Decidability. In LICS'02, pages 9-16. IEEE Comp. Soc. Press, juillet 2002.
@inproceedings{lics2002-LM,
  author =              {Lynch, Christopher and Morawska, Barbara},
  title =               {Automatic Decidability},
  booktitle =           {{P}roceedings of the 17th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'02)},
  acronym =             {{LICS}'02},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {9-16},
  year =                {2002},
  month =               jul,
}
[LM13] François Laroussinie et Nicolas Markey. Satisfiability of ATL with strategy contexts. In GandALF'13, Electronic Proceedings in Theoretical Computer Science 119, pages 208-223. Août 2013.
Résumé

Various extensions of the temporal logic ATL have recently been introduced to express rich properties of multi-agent systems. Among these, ATLsc extends ATL with strategy contexts, while Strategy Logic has first-order quantification over strategies. There is a price to pay for the rich expressiveness of these logics: model-checking is non-elementary, and satisfiability is undecidable.

We prove in this paper that satisfiability is decidable in several special cases. The most important one is when restricting to turn-based games. We prove that decidability also holds for concurrent games if the number of moves available to the agents is bounded. Finally, we prove that restricting strategy quantification to memoryless strategies brings back undecidability.

@inproceedings{gandalf2013-LM,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas},
  title =               {Satisfiability of {ATL} with strategy contexts},
  editor =              {Puppis, Gabriele and Villa, Tiziano},
  booktitle =           {{P}roceedings of the 4th {I}nternational {S}ymposium
                         on {G}ames, {A}utomata, {L}ogics and {F}ormal
                         {V}erification ({GandALF}'13)},
  acronym =             {{GandALF}'13},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {119},
  pages =               {208-223},
  year =                {2013},
  month =               aug,
  doi =                 {10.4204/EPTCS.119.18},
  abstract =            {Various extensions of the temporal logic ATL have
                         recently been introduced to express rich properties
                         of multi-agent systems. Among these, ATLsc extends
                         ATL with \emph{strategy contexts}, while Strategy
                         Logic has \emph{first-order quantification} over
                         strategies. There is a price to pay for the rich
                         expressiveness of these logics: model-checking is
                         non-elementary, and satisfiability is
                         undecidable.\par We prove in this paper that
                         satisfiability is decidable in several special
                         cases. The most important one is when restricting to
                         \emph{turn-based} games. We~prove that decidability
                         also holds for concurrent games if the number of
                         moves available to the agents is bounded. Finally,
                         we~prove that restricting strategy quantification to
                         memoryless strategies brings back undecidability.},
}
[LM14] François Laroussinie et Nicolas Markey. Quantified CTL: expressiveness and complexity. Logical Methods in Computer Science 10(4). Décembre 2014.
Résumé

While it was defined long ago, the extension of CTL with quantification over atomic propositions has never been studied extensively. Considering two different semantics (depending whether propositional quantification refers to the Kripke structure or to its unwinding tree), we study its expressiveness (showing in particular that QCTL coincides with Monadic Second-Order Logic for both semantics) and characterise the complexity of its model-checking and satisfiability problems, depending on the number of nested propositional quantifiers (showing that the structure semantics populates the polynomial hierarchy while the tree semantics populates the exponential hierarchy).

@article{lmcs10(4)-LM,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas},
  title =               {Quantified~{CTL}: expressiveness and complexity},
  journal =             {Logical Methods in Computer Science},
  volume =              {10},
  number =              {4},
  year =                {2014},
  month =               dec,
  doi =                 {10.2168/LMCS-10(4:17)2014},
  abstract =            {While it was defined long ago, the extension of CTL
                         with quantification over atomic propositions has
                         never been studied extensively. Considering two
                         different semantics (depending whether propositional
                         quantification refers to the Kripke structure or to
                         its unwinding tree), we~study its expressiveness
                         (showing in particular that QCTL coincides with
                         Monadic Second-Order Logic for both semantics) and
                         characterise the complexity of its model-checking
                         and satisfiability problems, depending on the number
                         of nested propositional quantifiers (showing that
                         the structure semantics populates the polynomial
                         hierarchy while the tree semantics populates the
                         exponential hierarchy).},
}
[LM15] François Laroussinie et Nicolas Markey. Augmenting ATL with strategy contexts. Information and Computation 245:98-123. Elsevier, décembre 2015.
Résumé

We study the extension of the alternating-time temporal logic (ATL) with strategy contexts: contrary to the original semantics, in this semantics the strategy quantifiers do not reset the previously selected strategies.

We show that our extension ATLsc is very expressive, but that its decision problems are quite hard: model checking is k-EXPTIME-complete when the formula has k nested strategy quantifiers; satisfiability is undecidable, but we prove that it is decidable when restricting to turn-based games. Our algorithms are obtained through a very convenient translation to QCTL (the computation-tree logic CTL extended with atomic quantification), which we show also applies to Strategy Logic, as well as when strategy quantification ranges over memoryless strategies.

@article{icomp245()-LM,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas},
  title =               {Augmenting {ATL} with strategy contexts},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {245},
  pages =               {98-123},
  year =                {2015},
  month =               dec,
  doi =                 {10.1016/j.ic.2014.12.020},
  abstract =            {We study the extension of the alternating-time
                         temporal logic (ATL) with strategy contexts:
                         contrary to the original semantics, in this
                         semantics the strategy quantifiers do not reset the
                         previously selected strategies.\par We show that our
                         extension ATLsc is very expressive, but that its
                         decision problems are quite hard: model checking is
                         \(k\)-EXPTIME-complete when the formula has \(k\)
                         nested strategy quantifiers; satisfiability is
                         undecidable, but we prove that it is decidable when
                         restricting to turn-based games. Our algorithms are
                         obtained through a very convenient translation to
                         QCTL (the~computation-tree logic CTL extended with
                         atomic quantification), which we show also applies
                         to Strategy Logic, as well as when strategy
                         quantification ranges over memoryless strategies.},
}
[LM24] François Laroussinie et Nicolas Markey. Arbitrary-arity Tree Automata and QCTL. Technical Report 2410.18799, arXiv, octobre 2024.
Résumé

We introduce a new class of automata (which we coin EU-automata) running on infininte trees of arbitrary (finite) arity. We develop and study several algorithms to perform classical operations (union, intersection, complement, projection, alternation removal) for those automata, and precisely characterise their complexities. We also develop algorithms for solving membership and emptiness for the languages of trees accepted by EU-automata.

We then use EU-automata to obtain several algorithmic and expressiveness results for the temporal logic QCTL (which extends CTL with quantification over atomic propositions) and for MSO. On the one hand, we obtain decision procedures with optimal complexity for QCTL satisfiability and model checking; on the other hand, we obtain an algorithm for translating any QCTL formula with k quantifier alternations to formulas with at most one quantifier alternation, at the expense of a (k+1)-exponential blow-up in the size of the formulas. Using the same techniques, we prove that any MSO formula can be translated into a formula with at most four quantifier alternations (and only two second-order-quantifier alternations), again with a (k+1)-exponential blow-up in the size of the formula.

@techreport{arxiv2410.18799-LM,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas},
  title =               {Arbitrary-arity Tree Automata and QCTL},
  number =              {2410.18799},
  year =                {2024},
  month =               oct,
  doi =                 {10.48550/arXiv.2410.18799},
  institution =         {arXiv},
  abstract =            {We~introduce a new class of automata (which we coin
                         \emph{EU-automata}) running on infininte trees of
                         arbitrary (finite) arity. We~develop and study
                         several algorithms to perform classical operations
                         (union, intersection, complement, projection,
                         alternation removal) for those automata, and
                         precisely characterise their complexities. We~also
                         develop algorithms for solving membership and
                         emptiness for the languages of trees accepted by
                         EU-automata. \par We~then use EU-automata to obtain
                         several algorithmic and expressiveness results for
                         the temporal logic \textsf{QCTL} (which extends
                         \textsf{CTL} with quantification over atomic
                         propositions) and for \textsf{MSO}. On the one hand,
                         we obtain decision procedures with optimal
                         complexity for \textsf{QCTL} satisfiability and
                         model checking; on the other hand, we obtain an
                         algorithm for translating any \textsf{QCTL} formula
                         with \(k\) quantifier alternations to formulas with
                         at most one quantifier alternation, at~the~expense
                         of a \((k+1)\)-exponential blow-up in the size of
                         the formulas. Using the same techniques, we~prove
                         that any \textsf{MSO} formula can be translated into
                         a formula with at most four quantifier alternations
                         (and only two second-order-quantifier alternations),
                         again with a \((k+1)\)-exponential blow-up in the
                         size of the formula.},
}
[LMG04] Thomas Lévy, Olivier Marcé et Damien Galand. Embedded BGP Routing Monitoring. In HSNMC'04, Lecture Notes in Computer Science 3079, pages 348-359. Springer-Verlag, juin 2004.
@inproceedings{hsnmc2004-LMG,
  author =              {L{\'e}vy, {\relax Th}omas and Marc{\'e}, Olivier and
                         Galand, Damien},
  title =               {Embedded {BGP} Routing Monitoring},
  editor =              {Mammeri, Zoubir and Lorenz, Pascal},
  booktitle =           {{P}roceedings of the 7th {IEEE} {I}nternational
                         {C}onference on {H}igh {S}peed {N}etworks and
                         {M}ultimedia {C}ommunications ({HSNMC}'04)},
  acronym =             {{HSNMC}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3079},
  pages =               {348-359},
  year =                {2004},
  month =               jun,
}
[LMN04] Kim Guldstrand Larsen, Marius Mikučionis et Brian Nielsen. Online Testing of Real-time Systems Using Uppaal. In FATES'04, Lecture Notes in Computer Science 3395, pages 79-94. Springer-Verlag, septembre 2004.
@inproceedings{LMN-fates2004,
  author =              {Larsen, Kim Guldstrand and Miku{\v{c}}ionis, Marius
                         and Nielsen, Brian},
  title =               {Online Testing of Real-time Systems Using {U}ppaal},
  editor =              {Grabowski, Jens and Nielsen, Brian},
  booktitle =           {{P}roceedings of the 4th {I}nternational {W}orkshop
                         on {F}ormal {A}pproaches to {S}oftware {T}esting
                         ({FATES}'04)},
  acronym =             {{FATES}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3395},
  pages =               {79-94},
  year =                {2004},
  month =               sep,
  doi =                 {10.1007/978-3-540-31848-4_6},
}
[LMO06] François Laroussinie, Nicolas Markey et Ghassan Oreiby. Model-Checking Timed ATL for Durational Concurrent Game Structures. In FORMATS'06, Lecture Notes in Computer Science 4202, pages 245-259. Springer-Verlag, septembre 2006.
Résumé

We extend the framework of ATL model-checking to "simply timed" concurrent game structures, i.e., multi-agent structures where each transition carry an integral duration (or interval thereof). While the case of single durations is easily handled from the semantics point of view, intervals of durations raise several interesting questions. Moreover subtle algorithmic problems have to be handled when dealing with model checking. We propose a semantics for which we develop efficient (PTIME) algorithms for timed ATL without equality constraints, while the general case is shown to be EXPTIME-complete.

@inproceedings{formats2006-LMO,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas and
                         Oreiby, Ghassan},
  title =               {Model-Checking Timed~{ATL} for Durational Concurrent
                         Game Structures},
  editor =              {Asarin, Eugene and Bouyer, Patricia},
  booktitle =           {{P}roceedings of the 4th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'06)},
  acronym =             {{FORMATS}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4202},
  pages =               {245-259},
  year =                {2006},
  month =               sep,
  doi =                 {10.1007/11867340_18},
  abstract =            {We extend the framework of ATL model-checking to
                         {"}simply timed{"} concurrent game structures, i.e.,
                         multi-agent structures where each transition carry
                         an integral duration (or interval thereof). While
                         the case of single durations is easily handled from
                         the semantics point of view, intervals of durations
                         raise several interesting questions. Moreover subtle
                         algorithmic problems have to be handled when dealing
                         with model checking. We propose a semantics for
                         which we develop efficient (PTIME) algorithms for
                         timed ATL without equality constraints, while the
                         general case is shown to be EXPTIME-complete.},
}
[LMO07] François Laroussinie, Nicolas Markey et Ghassan Oreiby. On the Expressiveness and Complexity of ATL. In FoSSaCS'07, Lecture Notes in Computer Science 4423, pages 243-257. Springer-Verlag, mars 2007.
Résumé

ATL is a temporal logic geared towards the specification and verification of properties in multi-agents systems. It allows to reason on the existence of strategies for coalitions of agents in order to enforce a given property. We prove that the standard definition of ATL (built on modalities "Next", "Always" and "Until") has to be completed in order to express the duals of its modalities: it is necessary to add the modality "Release". We then precisely characterize the complexity of ATL model-checking when the number of agents is not fixed. We prove that it is Δ2P and Δ3P-complete, depending on the underlying multi-agent model (ATS and CGS, resp.). We also prove that ATL+ model-checking is Δ3P-complete over both models, even with a fixed number of agents.

@inproceedings{fossacs2007-LMO,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas and
                         Oreiby, Ghassan},
  title =               {On the Expressiveness and Complexity of~{ATL}},
  editor =              {Seidl, Helmut},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'07)},
  acronym =             {{FoSSaCS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4423},
  pages =               {243-257},
  year =                {2007},
  month =               mar,
  doi =                 {10.1007/978-3-540-71389-0_18},
  abstract =            {ATL is a temporal logic geared towards the
                         specification and verification of properties in
                         multi-agents systems. It allows to reason on the
                         existence of strategies for coalitions of agents in
                         order to enforce a given property. We prove that the
                         standard definition of~ATL (built on modalities
                         {"}Next{"}, {"}Always{"} and~{"}Until{"}) has to be
                         completed in order to express the duals of its
                         modalities: it~is necessary to add the modality
                         {"}Release{"}. We~then precisely characterize the
                         complexity of ATL model-checking when the number of
                         agents is not fixed. We prove that it is
                         \(\Delta_{2}^{P}\) and \(\Delta_{3}^{P}\)-complete,
                         depending on the underlying multi-agent model (ATS
                         and CGS,~resp.). We also prove that~ATL\({}^{+}\)
                         model-checking is \(\Delta_{3}^{P}\)-complete over
                         both models, even with a fixed number of agents.},
}
[LMO08] François Laroussinie, Nicolas Markey et Ghassan Oreiby. On the Expressiveness and Complexity of ATL. Logical Methods in Computer Science 4(2). Mai 2008.
Résumé

ATL is a temporal logic geared towards the specification and verification of properties in multi-agents systems. It allows to reason on the existence of strategies for coalitions of agents in order to enforce a given property. We prove that the standard definition of ATL (built on modalities "Next", "Always" and "Until") has to be completed in order to express the duals of its modalities: it is necessary to add the modality "Release". We then precisely characterize the complexity of ATL model-checking when the number of agents is not fixed. We prove that it is Δ2P and Δ3P-complete, depending on the underlying multi-agent model (ATS and CGS, resp.). We also prove that ATL+ model-checking is Δ3P-complete over both models, even with a fixed number of agents.

@article{lmcs4(2)-LMO,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas and
                         Oreiby, Ghassan},
  title =               {On the Expressiveness and Complexity of~{ATL}},
  journal =             {Logical Methods in Computer Science},
  volume =              {4},
  number =              {2},
  year =                {2008},
  month =               may,
  doi =                 {10.2168/LMCS-4(2:7)2008},
  abstract =            {ATL is a temporal logic geared towards the
                         specification and verification of properties in
                         multi-agents systems. It allows to reason on the
                         existence of strategies for coalitions of agents in
                         order to enforce a given property. We prove that the
                         standard definition of~ATL (built on modalities
                         {"}Next{"}, {"}Always{"} and~{"}Until{"}) has to be
                         completed in order to express the duals of its
                         modalities: it~is necessary to add the modality
                         {"}Release{"}. We~then precisely characterize the
                         complexity of ATL model-checking when the number of
                         agents is not fixed. We prove that it is
                         \(\Delta_{2}^{P}\) and \(\Delta_{3}^{P}\)-complete,
                         depending on the underlying multi-agent model (ATS
                         and CGS,~resp.). We also prove that~ATL\({}^{+}\)
                         model-checking is \(\Delta_{3}^{P}\)-complete over
                         both models, even with a fixed number of agents.},
}
[LMS01] François Laroussinie, Nicolas Markey et Philippe Schnoebelen. Model Checking CTL+ and FCTL is hard. In FoSSaCS'01, Lecture Notes in Computer Science 2030, pages 318-331. Springer-Verlag, avril 2001.
Résumé

Among the branching-time temporal logics used for the specification and verification of systems, CTL+, FCTL and ECTL+ are the most notable logics for which the precise computational complexity of model checking is not known. We answer this longstanding open problem and show that model checking these (and some related) logics is Δ2p-complete.

@inproceedings{fossacs2001-LMS,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas and
                         Schnoebelen, {\relax Ph}ilippe},
  title =               {Model Checking {CTL}{\(^+\)} and {FCTL} is hard},
  editor =              {Honsell, Furio and Miculan, Marino},
  booktitle =           {{P}roceedings of the 4th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'01)},
  acronym =             {{FoSSaCS}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2030},
  pages =               {318-331},
  year =                {2001},
  month =               apr,
  doi =                 {10.1007/3-540-45315-6_21},
  abstract =            {Among the branching-time temporal logics used for
                         the specification and verification of systems,
                         CTL\(^+\), FCTL and ECTL\(^+\) are the most notable
                         logics for which the precise computational
                         complexity of model checking is not known. We answer
                         this longstanding open problem and show that model
                         checking these (and some related) logics is
                         \(\Delta_2^p\)-complete.},
}
[LMS02] François Laroussinie, Nicolas Markey et Philippe Schnoebelen. On Model Checking Durational Kripke Structures (Extended Abstract). In FoSSaCS'02, Lecture Notes in Computer Science 2303, pages 264-279. Springer-Verlag, avril 2002.
Résumé

We consider quantitative model checking in durational Kripke structures (Kripke structures where transitions have integer durations) with timed temporal logics where subscripts put quantitative constraints on the time it takes before a property is satisfied. We investigate the conditions that allow polynomial-time model checking algorithms for timed versions of CTL and exhibit an important gap between logics where subscripts of the form "= c" (exact duration) are allowed, and simpler logics that only allow subscripts of the form "≤ c" or "≥ c" (bounded duration).

A surprising outcome of this study is that it provides the second example of a Δ2P-complete model checking problem.

@inproceedings{fossacs2002-LMS,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas and
                         Schnoebelen, {\relax Ph}ilippe},
  title =               {On Model Checking Durational {K}ripke Structures
                         (Extended Abstract)},
  editor =              {Nielsen, Mogens and Engberg, Uffe},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'02)},
  acronym =             {{FoSSaCS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2303},
  pages =               {264-279},
  year =                {2002},
  month =               apr,
  doi =                 {10.1007/3-540-45931-6_19},
  abstract =            {We consider quantitative model checking in
                         \emph{durational Kripke structures} (Kripke
                         structures where transitions have integer durations)
                         with timed temporal logics where subscripts put
                         quantitative constraints on the time it takes before
                         a property is satisfied. We investigate the
                         conditions that allow polynomial-time model checking
                         algorithms for timed versions of CTL and exhibit an
                         important gap between logics where subscripts of the
                         form {"}\(= c\){"} (exact duration) are allowed, and
                         simpler logics that only allow subscripts of the
                         form {"}\(\leq c\){"} or {"}\(\geq c\){"} (bounded
                         duration).\par A surprising outcome of this study is
                         that it provides the second example of a
                         \(\Delta_2^P\)-complete model checking problem.},
}
[LMS02] François Laroussinie, Nicolas Markey et Philippe Schnoebelen. Temporal Logic with Forgettable Past. In LICS'02, pages 383-392. IEEE Comp. Soc. Press, juillet 2002.
Résumé

We investigate NLTL, a linear-time temporal logic with forgettable past. NLTL can be exponentially more succinct than LTL + Past (which in turn can be more succinct than LTL). We study satisfiability and model checking for NLTL and provide optimal automata-theoretic algorithms for these EXPSPACE-complete problems.

@inproceedings{lics2002-LMS,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas and
                         Schnoebelen, {\relax Ph}ilippe},
  title =               {Temporal Logic with Forgettable Past},
  booktitle =           {{P}roceedings of the 17th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'02)},
  acronym =             {{LICS}'02},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {383-392},
  year =                {2002},
  month =               jul,
  doi =                 {10.1109/LICS.2002.1029846},
  abstract =            {We investigate NLTL, a linear-time temporal logic
                         with forgettable past. NLTL can be exponentially
                         more succinct than LTL + Past (which in turn can be
                         more succinct than LTL). We study satisfiability and
                         model checking for NLTL and provide optimal
                         automata-theoretic algorithms for these
                         EXPSPACE-complete problems.},
}
[LMS04] François Laroussinie, Nicolas Markey et Philippe Schnoebelen. Model Checking Timed Automata with One or Two Clocks. In CONCUR'04, Lecture Notes in Computer Science 3170, pages 387-401. Springer-Verlag, août 2004.
Résumé

In this paper, we study model checking of timed automata (TAs), and more precisely we aim at finding efficient model checking for subclasses of TAs. For this, we consider model checking TCTL and TCTL, over TAs with one clock or two clocks.

First we show that the reachability problem is NLOGSPACE-complete for one clock TAs (i.e. as complex as reachability in classical graphs) and we give a polynomial time algorithm for model checking TCTL, over this class of TAs. Secondly we show that model checking becomes PSPACE-complete for full TCTL over one clock TAs. We also show that model checking CTL (without any timing constraint) over two clock TAs is PSPACE-complete and that reachability is NP-hard.

@inproceedings{concur2004-LMS,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas and
                         Schnoebelen, {\relax Ph}ilippe},
  title =               {Model Checking Timed Automata with One or Two
                         Clocks},
  editor =              {Gardner, {\relax Ph}ilippa and Yoshida, Nobuko},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'04)},
  acronym =             {{CONCUR}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3170},
  pages =               {387-401},
  year =                {2004},
  month =               aug,
  doi =                 {10.1007/978-3-540-28644-8_25},
  abstract =            {In this paper, we study model checking of timed
                         automata (TAs), and more precisely we aim at finding
                         efficient model checking for subclasses of TAs. For
                         this, we consider model checking TCTL and TCTL, over
                         TAs with one clock or two clocks.\par First we show
                         that the reachability problem is NLOGSPACE-complete
                         for one clock TAs (i.e. as complex as reachability
                         in classical graphs) and we give a polynomial time
                         algorithm for model checking TCTL, over this class
                         of TAs. Secondly we show that model checking becomes
                         PSPACE-complete for full TCTL over one clock TAs. We
                         also show that model checking CTL (without any
                         timing constraint) over two clock TAs is
                         PSPACE-complete and that reachability is NP-hard.},
}
[LMS06] François Laroussinie, Nicolas Markey et Philippe Schnoebelen. Efficient timed model checking for discrete-time systems. Theoretical Computer Science 353(1-3):249-271. Elsevier, mars 2006.
Résumé

We consider model checking of timed temporal formulae in durational transition graphs (DTGs), i.e., Kripke structures where transitions have integer durations. Two semantics for DTGs are presented and motivated. We consider timed versions of CTL where subscripts put quantitative constraints on the time it takes before a property is satisfied.

We exhibit an important gap between logics where subscripts of the form "= c" (exact duration) are allowed, and simpler logics that only allow subscripts of the form "≤ c" or "≥ c" (bounded duration).

Without exact durations, model checking can be done in polynomial time, but with exact durations, it becomes Δ2P-complete or PSPACE-complete depending on the considered semantics.

@article{tcs353(1-3)-LMS,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas and
                         Schnoebelen, {\relax Ph}ilippe},
  title =               {Efficient timed model checking for discrete-time
                         systems},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {353},
  number =              {1-3},
  pages =               {249-271},
  year =                {2006},
  month =               mar,
  doi =                 {10.1016/j.tcs.2005.11.020},
  abstract =            {We consider model checking of timed temporal
                         formulae in \emph{durational transition graphs}
                         (DTGs), \emph{i.e.}, Kripke structures where
                         transitions have integer durations. Two semantics
                         for DTGs are presented and motivated. We consider
                         timed versions of CTL where subscripts put
                         quantitative constraints on the time it takes before
                         a property is satisfied. \par We exhibit an
                         important gap between logics where subscripts of the
                         form {"}\(= c\){"} (exact duration) are allowed, and
                         simpler logics that only allow subscripts of the
                         form {"}\(\leq c\){"} or {"}\(\geq c\){"} (bounded
                         duration).\par Without exact durations, model
                         checking can be done in polynomial time, but with
                         exact durations, it becomes
                         \(\Delta_{2}^{P}\)-complete or PSPACE-complete
                         depending on the considered semantics.},
}
[LMS15] François Laroussinie, Nicolas Markey et Arnaud Sangnier. ATLsc with partial observation. In GandALF'15, Electronic Proceedings in Theoretical Computer Science 193, pages 43-57. Septembre 2015.
Résumé

Alternating-time temporal logic with strategy contexts (ATLsc) is a powerful formalism for expressing properties of multi-agent systems: it extends CTL with strategy quantifiers, offering a convenient way of expressing both collaboration and antagonism between several agents. Incomplete observation of the state space is a desirable feature in such a framework, but it quickly leads to undecidable verification problems. In this paper, we prove that uniform incomplete observation (where all players have the same observation) preserves decidability of the model checking problem, even for very expressive logics such as ATLsc.

@inproceedings{gandalf2015-LMS,
  author =              {Laroussinie, Fran{\c c}ois and Markey, Nicolas and
                         Sangnier, Arnaud},
  title =               {{{\(\textsf{ATL}_{\textsf{sc}}\)}} with partial
                         observation},
  editor =              {Esparza, Javier and Tronci, Enrico},
  booktitle =           {{P}roceedings of the 6th {I}nternational {S}ymposium
                         on {G}ames, {A}utomata, {L}ogics and {F}ormal
                         {V}erification ({GandALF}'15)},
  acronym =             {{GandALF}'15},
  series =              {Electronic Proceedings in Theoretical Computer
                         Science},
  volume =              {193},
  pages =               {43-57},
  year =                {2015},
  month =               sep,
  doi =                 {10.4204/EPTCS.193.4},
  abstract =            {Alternating-time temporal logic with strategy
                         contexts ({{\(\textsf{ATL}_{\textsf{sc}}\)}}) is a
                         powerful formalism for expressing properties of
                         multi-agent systems: it~extends \textsf{CTL} with
                         \emph{strategy quantifiers}, offering a convenient
                         way of expressing both collaboration and antagonism
                         between several agents. Incomplete observation of
                         the state space is a desirable feature in such a
                         framework, but it quickly leads to undecidable
                         verification problems. In this paper, we prove that
                         \emph{uniform} incomplete observation (where all
                         players have the same observation) preserves
                         decidability of the model checking problem, even for
                         very expressive logics such as
                         {{\(\textsf{ATL}_{\textsf{sc}}\)}}.},
}
[LMS+99] Clemens Lautermann, Pierre McKenzie, Thomas Schwentick et Heribert Vollmer. The Descriptive Complexity Approach to LOGCFL. In STACS'99, Lecture Notes in Computer Science 1563, pages 444-454. Springer-Verlag, mars 1999.
@inproceedings{stacs1999-LMSV,
  author =              {Lautermann, Clemens and McKenzie, Pierre and
                         Schwentick, Thomas and Vollmer, Heribert},
  title =               {The Descriptive Complexity Approach to {LOGCFL}},
  editor =              {Meinel, {\relax Ch}ristoph and Tison, Sophie},
  booktitle =           {{P}roceedings of the 16th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'99)},
  acronym =             {{STACS}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1563},
  pages =               {444-454},
  year =                {1999},
  month =               mar,
}
[LN00] Salvatore La Torre et Margherita Napoli. A Decidable Dense Branching-time Temporal Logic. In FSTTCS'00, Lecture Notes in Computer Science 1974, pages 139-150. Springer-Verlag, décembre 2000.
@inproceedings{fsttcs2000-LN,
  author =              {La{~}Torre, Salvatore and Napoli, Margherita},
  title =               {A Decidable Dense Branching-time Temporal Logic},
  editor =              {Kapoor, Sanjiv and Prasad, Sanjiva},
  booktitle =           {{P}roceedings of the 20th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'00)},
  acronym =             {{FSTTCS}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1974},
  pages =               {139-150},
  year =                {2000},
  month =               dec,
}
[LN01] Salvatore La Torre et Margherita Napoli. Timed tree automata with an application to temporal logic. Acta Informatica 38(2):89-116. Springer-Verlag, 2001.
@article{acta38(2)-LN,
  author =              {La{~}Torre, Salvatore and Napoli, Margherita},
  title =               {Timed tree automata with an application to temporal
                         logic},
  publisher =           {Springer-Verlag},
  journal =             {Acta Informatica},
  volume =              {38},
  number =              {2},
  pages =               {89-116},
  year =                {2001},
}
[LNZ04] Denis Lugiez, Peter Niebert et Sarah Zennou. A partial order semantics approach to the clock explosion problem of timed automata. In TACAS'04, Lecture Notes in Computer Science 2988, pages 296-311. Springer-Verlag, mars 2004.
@inproceedings{tacas2004-LNZ,
  author =              {Lugiez, Denis and Niebert, Peter and Zennou, Sarah},
  title =               {A~partial order semantics approach to the clock
                         explosion problem of timed automata},
  editor =              {Jensen, Kurt and Podelski, Andreas},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'04)},
  acronym =             {{TACAS}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2988},
  pages =               {296-311},
  year =                {2004},
  month =               mar,
}
[LNZ05] Denis Lugiez, Peter Niebert et Sarah Zennou. A partial order semantics approach to the clock explosion problem of timed automata. Theoretical Computer Science 345(1):27-59. Elsevier, novembre 2005.
@article{tcs345(1)-LNZ,
  author =              {Lugiez, Denis and Niebert, Peter and Zennou, Sarah},
  title =               {A~partial order semantics approach to the clock
                         explosion problem of timed automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {345},
  number =              {1},
  pages =               {27-59},
  year =                {2005},
  month =               nov,
}
[Lod01] Christof Löding. Efficient minimization of deterministic weak ω-automata. Information Processing Letters 79(3):105-109. Elsevier, juillet 2001.
@article{ipl79(3)-Lod,
  author =              {L{\"o}ding, Christof},
  title =               {Efficient minimization of deterministic weak
                         {\(\omega\)}-automata},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {79},
  number =              {3},
  pages =               {105-109},
  year =                {2001},
  month =               jul,
}
[Lod21] Christof Löding. Automata on infinite trees. In Jean-Éric Pin (eds.), Handbook of automata theory. EMS Press, 2021.
@incollection{hat-ch8,
  author =              {L{\"o}ding, Christof},
  title =               {Automata on infinite trees},
  editor =              {Pin, Jean-{\'E}ric},
  booktitle =           {Handbook of automata theory},
  publisher =           {EMS~Press},
  volume =              {1},
  pages =               {265-302},
  chapter =             {8},
  year =                {2021},
  doi =                 {10.4171/AUTOMATA-1/8},
}
[Loh05] Markus Lohrey. Model Checking Hierarchical Structures. In LICS'05, pages 168- 177. IEEE Comp. Soc. Press, juillet 2005.
@inproceedings{lics2005-Loh,
  author =              {Lohrey, Markus},
  title =               {Model Checking Hierarchical Structures},
  booktitle =           {{P}roceedings of the 20th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'05)},
  acronym =             {{LICS}'05},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {168- 177},
  year =                {2005},
  month =               jul,
}
[LP85] Orna Lichtenstein et Amir Pnueli. Checking that Finite State Concurrent Programs Satisfy their Linear Specifiction. In POPL'85, pages 97-107. ACM Press, janvier 1985.
@inproceedings{popl1985-LP,
  author =              {Lichtenstein, Orna and Pnueli, Amir},
  title =               {Checking that Finite State Concurrent Programs
                         Satisfy their Linear Specifiction},
  booktitle =           {Conference Record of the 12th {ACM} {S}ymposium on
                         {P}rinciples of {P}rogramming {L}anguages
                         ({POPL}'85)},
  acronym =             {{POPL}'85},
  publisher =           {ACM Press},
  pages =               {97-107},
  year =                {1985},
  month =               jan,
}
[LP06] Kamal Lodaya et Paritosh K. Pandya. A Dose of Timed Logic, in Guarded Measure. In FORMATS'06, Lecture Notes in Computer Science 4202, pages 260-273. Springer-Verlag, septembre 2006.
@inproceedings{formats2006-LP,
  author =              {Lodaya, Kamal and Pandya, Paritosh K.},
  title =               {A Dose of Timed Logic, in Guarded Measure},
  editor =              {Asarin, Eugene and Bouyer, Patricia},
  booktitle =           {{P}roceedings of the 4th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'06)},
  acronym =             {{FORMATS}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4202},
  pages =               {260-273},
  year =                {2006},
  month =               sep,
}
[LP07] Yuri M. Lifshits et Dmitri S. Pavlov. Potential Theory for Mean Payoff Games. Journal of Mathematical Science 145(3):4967-4974. Springer-Verlag, septembre 2007.
@article{jms145(3)-LP,
  author =              {Lifshits, Yuri M. and Pavlov, Dmitri S.},
  title =               {Potential Theory for Mean Payoff Games},
  publisher =           {Springer-Verlag},
  journal =             {Journal of Mathematical Science},
  volume =              {145},
  number =              {3},
  pages =               {4967-4974},
  year =                {2007},
  month =               sep,
}
[LP14] Jun Liu et Pavithra Prabhakar. Switching control of dynamical systems from metric temporal logic specifications. In ICRA'01, pages 5333-5338. IEEE Robotics & Automation Soc., mai 2014.
@inproceedings{icra2014-LP,
  author =              {Liu, Jun and Prabhakar, Pavithra},
  title =               {Switching control of dynamical systems from metric
                         temporal logic specifications},
  booktitle =           {{P}roceedings of the 2014 {IEEE} {I}nternational
                         {C}onference on {R}obotics and {A}utomation
                         ({ICRA}'14)},
  acronym =             {{ICRA}'01},
  publisher =           {IEEE Robotics~\& Automation Soc.},
  pages =               {5333-5338},
  year =                {2014},
  month =               may,
  doi =                 {10.1109/ICRA.2014.6907643},
}
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@inproceedings{eurocrypt2004-LPS,
  author =              {Lynn, Banjamin and Prabhakaran, Manoj and Sahai,
                         Amit},
  title =               {Positive Results and Techniques for Obfuscation},
  editor =              {Cachin, Christian and Camenisch, Jan},
  booktitle =           {{P}roceedings of the 23rd {I}nternational
                         {C}onference on the {T}heory and {A}pplications of
                         {C}ryptographic {T}echniques ({EUROCRYPT}'04)},
  acronym =             {{EUROCRYPT}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3027},
  pages =               {20-39},
  year =                {2004},
  month =               aug,
}
[LPT09] Kai Lampka, Simon Perathoner et Lothar Thiele. Analytic Real-time Analysis and Timed Automata: A Hybrid Method for Analyzing Embedded Real-time Systems. In EMSOFT'09, pages 107-116. ACM Press, octobre 2009.
@inproceedings{emsoft2009-LPT,
  author =              {Lampka, Kai and Perathoner, Simon and Thiele,
                         Lothar},
  title =               {Analytic Real-time Analysis and Timed Automata:
                         A~Hybrid Method for Analyzing Embedded Real-time
                         Systems},
  editor =              {Chakraborty, Samarjit and Halbwachs, Nicolas},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {E}mbedded {S}oftware ({EMSOFT}'09)},
  acronym =             {{EMSOFT}'09},
  publisher =           {ACM Press},
  pages =               {107-116},
  year =                {2009},
  month =               oct,
  doi =                 {10.1145/1629335.1629351},
}
[LPW+99] Kim Guldstrand Larsen, Justin Pearson, Carsten Weise et Wang Yi. Clock Difference Diagrams. Nordic Journal of Computing 6(3):271-298. Publishing Association Nordic Journal of Computing, 1999.
@article{njc6(3)-LPWY,
  author =              {Larsen, Kim Guldstrand and Pearson, Justin and
                         Weise, Carsten and Yi, Wang},
  title =               {Clock Difference Diagrams},
  publisher =           {Publishing Association Nordic Journal of Computing},
  journal =             {Nordic Journal of Computing},
  volume =              {6},
  number =              {3},
  pages =               {271-298},
  year =                {1999},
}
[LPY97] Kim Guldstrand Larsen, Paul Pettersson et Wang Yi. Uppaal in a nutshell. International Journal on Software Tools for Technology Transfer 1(1-2):134-152. Springer-Verlag, octobre 1997.
@article{sttt1(1-2)-LPY,
  author =              {Larsen, Kim Guldstrand and Pettersson, Paul and Yi,
                         Wang},
  title =               {{\textsc{Uppaal}} in a nutshell},
  publisher =           {Springer-Verlag},
  journal =             {International Journal on Software Tools for
                         Technology Transfer},
  volume =              {1},
  number =              {1-2},
  pages =               {134-152},
  year =                {1997},
  month =               oct,
}
[LPZ85] Orna Lichtenstein, Amir Pnueli et Lenore D. Zuck. The Glory of the Past. In CLP'85, Lecture Notes in Computer Science 193, pages 413-424. Springer-Verlag, juin 1985.
@inproceedings{clp1985-LPZ,
  author =              {Lichtenstein, Orna and Pnueli, Amir and Zuck, Lenore
                         D.},
  title =               {The Glory of the Past},
  editor =              {Parikh, Rohit},
  booktitle =           {Proceedings of the Conference on Logics of Programs
                         ({CLP}'85)},
  acronym =             {{CLP}'85},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {193},
  pages =               {413-424},
  year =                {1985},
  month =               jun,
}
[LR03] Christof Löding et Philipp Rohde. Solving the Sabotage Game is PSPACE-hard. In MFCS'03, Lecture Notes in Computer Science 2747, pages 531-540. Springer-Verlag, août 2003.
@inproceedings{mfcs2003-LR,
  author =              {L{\"o}ding, Christof and Rohde, Philipp},
  title =               {Solving the Sabotage Game is {PSPACE}-hard},
  editor =              {Rovan, Branislav and Vojt{\'a}s, Peter},
  booktitle =           {{P}roceedings of the 28th {I}nternational
                         {S}ymposium on {M}athematical {F}oundations of
                         {C}omputer {S}cience ({MFCS}'03)},
  acronym =             {{MFCS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2747},
  pages =               {531-540},
  year =                {2003},
  month =               aug,
}
[LR05] Kim Guldstrand Larsen et Jacob Illum Rasmussen. Optimal Conditional reachability for Multi-Priced Timed Automata. In FoSSaCS'05, Lecture Notes in Computer Science 3441, pages 234-249. Springer-Verlag, avril 2005.
@inproceedings{fossacs2005-LR,
  author =              {Larsen, Kim Guldstrand and Rasmussen, Jacob Illum},
  title =               {Optimal Conditional reachability for Multi-Priced
                         Timed Automata},
  editor =              {Sassone, Vladimiro},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'05)},
  acronym =             {{FoSSaCS}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3441},
  pages =               {234-249},
  year =                {2005},
  month =               apr,
}
[LR08] Kim Guldstrand Larsen et Jacob Illum Rasmussen. Optimal Conditional reachability for Multi-Priced Timed Automata. Theoretical Computer Science 390(2-3):197-213. Elsevier, janvier 2008.
@article{tcs390(2-3)-LR,
  author =              {Larsen, Kim Guldstrand and Rasmussen, Jacob Illum},
  title =               {Optimal Conditional reachability for Multi-Priced
                         Timed Automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {390},
  number =              {2-3},
  pages =               {197-213},
  year =                {2008},
  month =               jan,
}
[LR16] Anthony W. Lin et Philipp Rümmer. Liveness of Randomised Parameterised Systems under Arbitrary Schedulers. In CAV'16, Lecture Notes in Computer Science 9779, pages 112-133. Springer-Verlag, juillet 2016.
@inproceedings{cav2016-LR,
  author =              {Lin, Anthony W. and R{\"u}mmer, Philipp},
  title =               {Liveness of Randomised Parameterised Systems under
                         Arbitrary Schedulers},
  editor =              {Chaudhuri, Swarat and Farzan, Azadeh},
  booktitle =           {{P}roceedings of the 28th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'16)},
  acronym =             {{CAV}'16},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9779},
  pages =               {112-133},
  year =                {2016},
  month =               jul,
  doi =                 {10.1007/978-3-319-41540-6_7},
}
[LRL98] Zhiming Liu, Anders P. Ravn et Xiaochan Li. Verifying Duration Properties of Timed Transition Systems. In PROCOMET'98, IFIP Conference Proceedings 125, pages 327-345. Chapman & Hall, juin 1998.
@inproceedings{ifipprocomet1998-LRL,
  author =              {Liu, Zhiming and Ravn, Anders P. and Li, Xiaochan},
  title =               {Verifying Duration Properties of Timed Transition
                         Systems},
  editor =              {Gries, David and de Roever, Willem-Paul},
  booktitle =           {{P}roceedings of the 2nd {IFIP} {I}nternational
                         {C}onference on {P}rogramming {C}oncepts and
                         {M}ethods ({PROCOMET}'98)},
  acronym =             {{PROCOMET}'98},
  publisher =           {Chapman \& Hall},
  series =              {IFIP Conference Proceedings},
  volume =              {125},
  pages =               {327-345},
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}
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@inproceedings{rts1992-LS,
  author =              {Lynch, Nancy and Shavit, Nir},
  title =               {Timing-Based Mutual Exclusion},
  booktitle =           {{P}roceedings of the 13th {S}ymposium on {R}eal-Time
                         {S}ystems ({RTSS}'92)},
  acronym =             {{RTSS}'92},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {2-11},
  year =                {1992},
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}
[LS94] François Laroussinie et Philippe Schnoebelen. A Hierarchy of Temporal Logics with Past. In STACS'94, Lecture Notes in Computer Science 775, pages 47-58. Springer-Verlag, février 1994.
@inproceedings{stacs1994-LS,
  author =              {Laroussinie, Fran{\c c}ois and Schnoebelen, {\relax
                         Ph}ilippe},
  title =               {A Hierarchy of Temporal Logics with Past},
  editor =              {Enjalbert, Patrice and Mayr, Ernst W. and Wagner,
                         Klaus W.},
  booktitle =           {{P}roceedings of the 11th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'94)},
  acronym =             {{STACS}'94},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {775},
  pages =               {47-58},
  year =                {1994},
  month =               feb,
}
[LS95] François Laroussinie et Philippe Schnoebelen. A Hierarchy of Temporal Logics with Past. Theoretical Computer Science 148(2):303-324. Elsevier, septembre 1995.
@article{tcs148(2)-LS,
  author =              {Laroussinie, Fran{\c c}ois and Schnoebelen, {\relax
                         Ph}ilippe},
  title =               {A Hierarchy of Temporal Logics with Past},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {148},
  number =              {2},
  pages =               {303-324},
  year =                {1995},
  month =               sep,
}
[LS98] Xinxin Liu et Scott A. Smolka. Simple Linear-Time Algorithms for Minimal Fixed Points. In ICALP'98, Lecture Notes in Computer Science 1443, pages 53-66. Springer-Verlag, juillet 1998.
@inproceedings{icalp1998-LS,
  author =              {Liu, Xinxin and Smolka, Scott A.},
  title =               {Simple Linear-Time Algorithms for Minimal Fixed
                         Points},
  editor =              {Larsen, Kim Guldstrand and Skyum, Sven and Winskel,
                         Glynn},
  booktitle =           {{P}roceedings of the 25th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'98)},
  acronym =             {{ICALP}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1443},
  pages =               {53-66},
  year =                {1998},
  month =               jul,
}
[LS00] François Laroussinie et Philippe Schnoebelen. Specification in CTL+Past for Verification in CTL. Information and Computation 156(1-2):236-263. Academic Press, janvier 2000.
@article{icomp156(1-2)-LS,
  author =              {Laroussinie, Fran{\c c}ois and Schnoebelen, {\relax
                         Ph}ilippe},
  title =               {Specification in {CTL}+{P}ast for Verification in
                         {CTL}},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {156},
  number =              {1-2},
  pages =               {236-263},
  year =                {2000},
  month =               jan,
}
[LS00] François Laroussinie et Philippe Schnoebelen. The State-Explosion Problem from Trace to Bisimulation Equivalence. In FoSSaCS'00, Lecture Notes in Computer Science 1784, pages 192-207. Springer-Verlag, mars 2000.
@inproceedings{fossacs2000-LS,
  author =              {Laroussinie, Fran{\c c}ois and Schnoebelen, {\relax
                         Ph}ilippe},
  title =               {The State-Explosion Problem from Trace to
                         Bisimulation Equivalence},
  editor =              {Tiuryn, Jerzy},
  booktitle =           {{P}roceedings of the 3rd {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'00)},
  acronym =             {{FoSSaCS}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1784},
  pages =               {192-207},
  year =                {2000},
  month =               mar,
  doi =                 {10.1007/3-540-46432-8_13},
}
[LS01] Jan Lunze et Jochen Schröder. State observation and diagnosis of discrete-event systems described by stochastic automata. Discrete Event Dynamic Systems 11(4):319-369. Kluwer Academic, octobre 2001.
@article{deds11(4)-LS,
  author =              {Lunze, Jan and Schr{\"o}der, Jochen},
  title =               {State observation and diagnosis of discrete-event
                         systems described by stochastic automata},
  publisher =           {Kluwer Academic},
  journal =             {Discrete Event Dynamic Systems},
  volume =              {11},
  number =              {4},
  pages =               {319-369},
  year =                {2001},
  month =               oct,
  doi =                 {10.1023/A:1011273108731},
}
[LS02] Martin Lange et Colin Stirling. Model Checking Fixed Point Logic with Chop. In FoSSaCS'02, Lecture Notes in Computer Science 2303, pages 250-263. Springer-Verlag, avril 2002.
@inproceedings{fossacs2002-LS,
  author =              {Lange, Martin and Stirling, Colin},
  title =               {Model Checking Fixed Point Logic with Chop},
  editor =              {Nielsen, Mogens and Engberg, Uffe},
  booktitle =           {{P}roceedings of the 5th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'02)},
  acronym =             {{FoSSaCS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2303},
  pages =               {250-263},
  year =                {2002},
  month =               apr,
}
[LS09] Martin Leucker et Christian Schallart. A brief account of runtime verification. Journal of Logic and Algebraic Programming 78(5):293-303. Elsevier, mai 2009.
@article{jlap78(5)-LS,
  author =              {Leucker, Martin and Schallart, Christian},
  title =               {A brief account of runtime verification},
  publisher =           {Elsevier},
  journal =             {Journal of Logic and Algebraic Programming},
  volume =              {78},
  number =              {5},
  pages =               {293-303},
  year =                {2009},
  month =               may,
  doi =                 {10.1016/j.jlap.2008.08.004},
}
[LST00] François Laroussinie, Philippe Schnoebelen et Mathieu Turuani. On the Expressive and Complexity of Quantitative Branching-Time Temporal Logics. In LATIN'00, Lecture Notes in Computer Science 1776, pages 437-446. Springer-Verlag, avril 2000.
@inproceedings{latin2000-LST,
  author =              {Laroussinie, Fran{\c c}ois and Schnoebelen, {\relax
                         Ph}ilippe and Turuani, Mathieu},
  title =               {On the Expressive and Complexity of Quantitative
                         Branching-Time Temporal Logics},
  editor =              {Gonnet, Gastn H. and Panario, Daniel and Viola,
                         Alfredo},
  booktitle =           {{P}roceedings of the 4th {L}atin {A}merican
                         {S}ymposium on {T}heoretical {IN}formatics
                         ({LATIN}'00)},
  acronym =             {{LATIN}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1776},
  pages =               {437-446},
  year =                {2000},
  month =               apr,
}
[LST03] François Laroussinie, Philippe Schnoebelen et Mathieu Turuani. On the expressivity and complexity of quantitative branching-time temporal logics. Theoretical Computer Science 297(1-3):297-315. Elsevier, mars 2003.
@article{tcs297(1-3)-LST,
  author =              {Laroussinie, Fran{\c c}ois and Schnoebelen, {\relax
                         Ph}ilippe and Turuani, Mathieu},
  title =               {On the expressivity and complexity of quantitative
                         branching-time temporal logics},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {297},
  number =              {1-3},
  pages =               {297-315},
  year =                {2003},
  month =               mar,
}
[LSW01] Carsten Lutz, Ulrike Sattler et Frank Wolter. Modal Logic and the Two-Variable Fragment. In CSL'01, Lecture Notes in Computer Science 2142, pages 247-261. Springer-Verlag, septembre 2001.
@inproceedings{csl2001-LSW,
  author =              {Lutz, Carsten and Sattler, Ulrike and Wolter, Frank},
  title =               {Modal Logic and the Two-Variable Fragment},
  editor =              {Fribourg, Laurent},
  booktitle =           {{P}roceedings of the 15th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'01)},
  acronym =             {{CSL}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2142},
  pages =               {247-261},
  year =                {2001},
  month =               sep,
}
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@inproceedings{ifiptcs2000-LT,
  author =              {L{\"o}ding, Christof and Thomas, Wolfgang},
  title =               {Alternating Automata and Logics over Infinite Words},
  editor =              {van Leeuwen, Jan and Watanabe, Osamu and Hagiya,
                         Masami and Mosses, Peter D. and Ito, Takayasu},
  booktitle =           {{E}xploring {N}ew {F}rontiers of {T}heoretical
                         {I}nformatics~--- {P}roceedings of the 1st {IFIP}
                         {I}nternational {C}onference on {T}heoretical
                         {C}omputer {S}cience ({IFIPTCS}'00)},
  acronym =             {{IFIPTCS}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1872},
  pages =               {521-535},
  year =                {2000},
  month =               aug,
}
[Lug03] Denis Lugiez. Counting and Equality Constraints for Multitree Automata. In FoSSaCS'03, Lecture Notes in Computer Science 2620, pages 328-342. Springer-Verlag, avril 2003.
@inproceedings{fossacs2003-Lug,
  author =              {Lugiez, Denis},
  title =               {Counting and Equality Constraints for Multitree
                         Automata},
  editor =              {Gordon, Andrew D.},
  booktitle =           {{P}roceedings of the 6th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'03)},
  acronym =             {{FoSSaCS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2620},
  pages =               {328-342},
  year =                {2003},
  month =               apr,
}
[Lut08] Michael Luttenberger. Strategy Iteration using Non-Deterministic Strategies for Solving Parity Games. Research Report cs.GT/0806.2923, arXiv, juin 2008.
@techreport{arxiv-cs.GT/0806.2923,
  author =              {Luttenberger, Michael},
  title =               {Strategy Iteration using Non-Deterministic
                         Strategies for Solving Parity Games},
  number =              {cs.GT/0806.2923},
  year =                {2008},
  month =               jun,
  institution =         {arXiv},
  type =                {Research Report},
}
[LV99] Richard J. Lipton et Anastasios Viglas. On the Complexity of SAT. In FOCS'99, pages 459-464. IEEE Comp. Soc. Press, novembre 1999.
@inproceedings{focs1999-LV,
  author =              {Lipton, Richard J. and Viglas, Anastasios},
  title =               {On the Complexity of {SAT}},
  booktitle =           {{P}roceedings of the 40th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'99)},
  acronym =             {{FOCS}'99},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {459-464},
  year =                {1999},
  month =               nov,
}
[LW05] Sławomir Lasota et Igor Walukiewicz. Alternating Timed Automata. In FoSSaCS'05, Lecture Notes in Computer Science 3441, pages 250-265. Springer-Verlag, avril 2005.
@inproceedings{fossacs2005-LW,
  author =              {Lasota, S{\l}awomir and Walukiewicz, Igor},
  title =               {Alternating Timed Automata},
  editor =              {Sassone, Vladimiro},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'05)},
  acronym =             {{FoSSaCS}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3441},
  pages =               {250-265},
  year =                {2005},
  month =               apr,
}
[LW08] Sławomir Lasota et Igor Walukiewicz. Alternating Timed Automata. ACM Transactions on Computational Logic 9(2). ACM Press, mars 2008.
@article{tocl9(2)-LW,
  author =              {Lasota, S{\l}awomir and Walukiewicz, Igor},
  title =               {Alternating Timed Automata},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {9},
  number =              {2},
  year =                {2008},
  month =               mar,
}
[LWW07] Carsten Lutz, Dirk Walther et Frank Wolter. Quantitative temporal logics over the reals: PSPACE and below. Information and Computation 205(1):99-123. Elsevier, janvier 2007.
@article{lww-icomp2007,
  author =              {Lutz, Carsten and Walther, Dirk and Wolter, Frank},
  title =               {Quantitative temporal logics over the reals:
                         {PSPACE} and below},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {205},
  number =              {1},
  pages =               {99-123},
  year =                {2007},
  month =               jan,
  doi =                 {10.1016/j.ic.2006.08.006},
}
[LY94] Kim Guldstrand Larsen et Wang Yi. Time Abstracted Bisimiulation: Implicit Specifications and Decidability. In MFPS'93, Lecture Notes in Computer Science 802, pages 160-176. Springer-Verlag, 1994.
@inproceedings{mfps1993-LY,
  author =              {Larsen, Kim Guldstrand and Yi, Wang},
  title =               {Time Abstracted Bisimiulation: Implicit
                         Specifications and Decidability},
  editor =              {Brookes, Setphen D. and Main, Michael G. and Melton,
                         Austin and Mislove, Michael W. and Schmidt, David
                         A.},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {M}athematical {F}oundations of
                         {P}rogramming {S}emantics ({MFPS}'93)},
  acronym =             {{MFPS}'93},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {802},
  pages =               {160-176},
  year =                {1994},
  confyear =            {1993},
  confmonth =           {4},
}
[LZ20] Karoliina Lehtinen et Martin Zimmermann. Good-for-games ω-pushdown automata. In LICS'20, pages 689-702. IEEE Comp. Soc. Press, juillet 2020.
@inproceedings{lics2020-LZ,
  author =              {Lehtinen, Karoliina and Zimmermann, Martin},
  title =               {Good-for-games {\(\omega\)}-pushdown automata},
  editor =              {Hermanns, Holger and Zhang, Lijun and Kobayashi,
                         Naoki and Miller, Dale},
  booktitle =           {{P}roceedings of the 35th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'20)},
  acronym =             {{LICS}'20},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {689-702},
  year =                {2020},
  month =               jul,
  doi =                 {10.1145/3373718.3394737},
}
M
[Mad80] Roger Maddux. The equational theory of CA3 is undecidable. Journal of Symbolic Logic 45(2):311-316. Association for Symbolic Logic, juin 1980.
@article{jsl45(2)-Mad,
  author =              {Maddux, Roger},
  title =               {The equational theory of \(CA_{3}\) is undecidable},
  publisher =           {Association for Symbolic Logic},
  journal =             {Journal of Symbolic Logic},
  volume =              {45},
  number =              {2},
  pages =               {311-316},
  year =                {1980},
  month =               jun,
  doi =                 {10.2307/2273191},
}
[Mad11] Parthasarathy Madhusudan. Synthesizing Reactive Programs. In CSL'11, Leibniz International Proceedings in Informatics 12, pages 428-442. Leibniz-Zentrum für Informatik, septembre 2011.
@inproceedings{csl2011-Mad,
  author =              {Madhusudan, Parthasarathy},
  title =               {Synthesizing Reactive Programs},
  editor =              {Bezem, Marc},
  booktitle =           {{P}roceedings of the 25th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'11)},
  acronym =             {{CSL}'11},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {12},
  pages =               {428-442},
  year =                {2011},
  month =               sep,
}
[Mai78] David Maier. The Complexity of Some Problems on Subsequences and Supersequences. Journal of the ACM 25(2):322-336. ACM Press, avril 1978.
@article{jacm25(2)-Mai,
  author =              {Maier, David},
  title =               {The Complexity of Some Problems on Subsequences and
                         Supersequences},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {25},
  number =              {2},
  pages =               {322-336},
  year =                {1978},
  month =               apr,
}
[Mai00] Monika Maidl. The Common Fragment of CTL and LTL. In FOCS'00, pages 643-652. IEEE Comp. Soc. Press, novembre 2000.
@inproceedings{focs2000-Mai,
  author =              {Maidl, Monika},
  title =               {The Common Fragment of {CTL} and~{LTL}},
  booktitle =           {{P}roceedings of the 41st {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'00)},
  acronym =             {{FOCS}'00},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {643-652},
  year =                {2000},
  month =               nov,
}
[Mal00] Oded Maler. Systèmes discrets, temporisés et hybrides. Mémoire d'habilitation, Université Joseph Fourier, Grenoble, France, Mai 2000.
@phdthesis{hab-maler,
  author =              {Maler, Oded},
  title =               {Syst{\`e}mes discrets, temporis{\'e}s et hybrides},
  year =                {2000},
  month =               may,
  institution =         {Universit{\'e} Joseph Fourier, Grenoble, France},
  school =              {Universit{\'e} Joseph Fourier, Grenoble, France},
  type =                {M\'emoire d'habilitation},
}
[Mal02] Oded Maler. Control from Computer Science. Annual Reviews in Control 26(2):175-187. Elsevier, 2002.
@article{aric26(2)-Mal,
  author =              {Maler, Oded},
  title =               {Control from Computer Science},
  publisher =           {Elsevier},
  journal =             {Annual Reviews in Control},
  volume =              {26},
  number =              {2},
  pages =               {175-187},
  year =                {2002},
}
[Man00] Panagiotis Manolios. Mu-Calculus Model-Checking. In Matt Kaufmann, Panagiotis Manolios et J. Strother Moore (eds.), Computer Aided Reasoning: ACL2 Case Studies. Kluwer Academic, juin 2000.
@incollection{CAR-ACL2CS-Man,
  author =              {Manolios, Panagiotis},
  title =               {Mu-Calculus Model-Checking},
  editor =              {Kaufmann, Matt and Manolios, Panagiotis and Moore,
                         J. Strother},
  booktitle =           {Computer Aided Reasoning: {ACL2} Case Studies},
  publisher =           {Kluwer Academic},
  pages =               {93-111},
  year =                {2000},
  month =               jun,
}
[Mar75] Donald A. Martin. Borel Determinacy. Annals of Mathematics 102(2):363-371. Princeton University Press, septembre 1975.
@article{am102(2)-Mar,
  author =              {Martin, Donald A.},
  title =               {{B}orel Determinacy},
  publisher =           {Princeton University Press},
  journal =             {Annals of Mathematics},
  volume =              {102},
  number =              {2},
  pages =               {363-371},
  year =                {1975},
  month =               sep,
  doi =                 {10.2307/1971035},
}
[Mar00] Nicolas Markey. Complexité de la logique temporelle avec passé. Rapport de DEA, Lab. Spécification & Vérification, ENS Cachan, France, Juin 2000.
@mastersthesis{dea2000-Mar,
  author =              {Markey, Nicolas},
  title =               {Complexit{\'e} de la logique temporelle avec
                         pass{\'e}},
  year =                {2000},
  month =               jun,
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {Rapport de~{DEA}},
}
[Mar02] Nicolas Markey. Past is for Free: On the Complexity of Verifying Linear Temporal Properties with Past. In EXPRESS'02, Electronic Notes in Theoretical Computer Science 68(2), pages 89-106. Elsevier, août 2002.
Résumé

We study the complexity of satisfiability and model-checking of the linear-time temporal logic with past (PLTL). More precisely, we consider several fragments of PLTL, depending on the allowed set of temporal modalities, the use of negations or the nesting of future formulae into past formulae. Our results show that "past is for free", that is it does not bring additional theoretical complexity, even for small fragments, and even when nesting future formulae into past formulae. We also remark that existential and universal model-checking can have different complexity for certain fragments.

@inproceedings{express2002-Mar,
  author =              {Markey, Nicolas},
  title =               {Past is for Free: On the Complexity of Verifying
                         Linear Temporal Properties with Past},
  editor =              {Nestmann, Uwe and Panangaden, Prakash},
  booktitle =           {{P}roceedings of the 9th {I}nternational {W}orkshop
                         on {E}xpressiveness in {C}oncurrency ({EXPRESS}'02)},
  acronym =             {{EXPRESS}'02},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {68},
  number =              {2},
  pages =               {89-106},
  year =                {2002},
  month =               aug,
  doi =                 {10.1016/S1571-0661(05)80366-4},
  abstract =            {We study the complexity of satisfiability and
                         model-checking of the linear-time temporal logic
                         with past~(PLTL). More precisely, we consider
                         several fragments of PLTL, depending on the allowed
                         set of temporal modalities, the use of negations or
                         the nesting of future formulae into past formulae.
                         Our~results show that {"}past is for free{"}, that
                         is it does not bring additional theoretical
                         complexity, even for small fragments, and even when
                         nesting future formulae into past formulae. We~also
                         remark that existential and universal model-checking
                         can have different complexity for certain
                         fragments.},
}
[Mar03] Nicolas Markey. Temporal Logic with Past is Exponentially More Succinct. EATCS Bulletin 79:122-128. EATCS, février 2003.
Résumé

We positively answer the old question whether temporal logic with past is more succinct than pure-future temporal logic. Surprisingly, the proof is quite simple and elementary, although the question has been open for twenty years.

@article{eatcs-bull79()-Mar,
  author =              {Markey, Nicolas},
  title =               {Temporal Logic with Past is Exponentially More
                         Succinct},
  publisher =           {EATCS},
  journal =             {EATCS Bulletin},
  volume =              {79},
  pages =               {122-128},
  year =                {2003},
  month =               feb,
  abstract =            {We positively answer the old question whether
                         temporal logic with past is more succinct than
                         pure-future temporal logic. Surprisingly, the proof
                         is quite simple and elementary, although the
                         question has been open for twenty years.},
}
[Mar03] Nicolas Markey. Logiques temporelles pour la vérification : expressivité, complexité, algorithmes. Thèse de doctorat, Lab. Informatique Fondamentale d'Orléans, France, Avril 2003.
@phdthesis{phd2003-Mar,
  author =              {Markey, Nicolas},
  title =               {Logiques temporelles pour la v{\'e}rification~:
                         expressivit{\'e}, complexit{\'e}, algorithmes},
  year =                {2003},
  month =               apr,
  school =              {Lab.~Informatique Fondamentale d'Orl{\'e}ans,
                         France},
  type =                {Th\`ese de doctorat},
}
[Mar04] Nicolas Markey. TSMV : model-checking symbolique de systémes simplement temporisés. In AFADL'04. Juin 2004.
@inproceedings{afadl2004-Mar,
  author =              {Markey, Nicolas},
  title =               {{TSMV}~: model-checking symbolique de syst{\'e}mes
                         simplement temporis{\'e}s},
  editor =              {Julliand, Jacques},
  booktitle =           {Actes de la 6\`eme Conf\'erence {A}pproches
                         {F}ormelles dans l'{A}ssistance au
                         {D}{\'e}veloppement de {L}ogiciels ({AFADL}'04)},
  acronym =             {{AFADL}'04},
  year =                {2004},
  month =               jun,
}
[Mar04] Nicolas Markey. Past is for Free: On the Complexity of Verifying Linear Temporal Properties with Past. Acta Informatica 40(6-7):431-458. Springer-Verlag, mai 2004.
Résumé

We study the complexity of satisfiability and model checking problems for fragments of linear-time temporal logic with past (PLTL). We consider many fragments of PLTL, obtained by restricting the set of allowed temporal modalities, the use of negations or the nesting of future formulas into past formulas. Our results strengthen the widely accepted fact that "past is for free", in the sense that allowing symmetric past-time modalities does not bring additional theoretical complexity. This result holds even for small fragments and even when nesting future formulas into past formulas.

@article{acta40(6-7)-Mar,
  author =              {Markey, Nicolas},
  title =               {Past is for Free: On the Complexity of Verifying
                         Linear Temporal Properties with Past},
  publisher =           {Springer-Verlag},
  journal =             {Acta Informatica},
  volume =              {40},
  number =              {6-7},
  pages =               {431-458},
  year =                {2004},
  month =               may,
  doi =                 {10.1007/s00236-003-0136-5},
  abstract =            {We study the complexity of satisfiability and model
                         checking problems for fragments of linear-time
                         temporal logic with past (PLTL). We consider many
                         fragments of PLTL, obtained by restricting the set
                         of allowed temporal modalities, the use of negations
                         or the nesting of future formulas into past
                         formulas. Our results strengthen the widely accepted
                         fact that {"}past is for free{"}, in the sense that
                         allowing symmetric past-time modalities does not
                         bring additional theoretical complexity. This result
                         holds even for small fragments and even when nesting
                         future formulas into past formulas.},
}
[Mar05] Wilfredo R. Marrero. Using BDDs to Decide CTL. In TACAS'05, Lecture Notes in Computer Science 3440, pages 222-236. Springer-Verlag, avril 2005.
@inproceedings{tacas2005-Mar,
  author =              {Marrero, Wilfredo R.},
  title =               {Using {BDD}s to Decide~{CTL}},
  editor =              {Halbwachs, Nicolas and Zuck, Lenore D.},
  booktitle =           {{P}roceedings of the 11th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'05)},
  acronym =             {{TACAS}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3440},
  pages =               {222-236},
  year =                {2005},
  month =               apr,
}
[Mar10] Pavel V. Martyugin. Complexity of Problems Concerning Carefully Synchronizing Words for PFA and Directing Words for NFA. In CSR'10, Lecture Notes in Computer Science 6072, pages 288-302. Springer-Verlag, juin 2010.
@inproceedings{csr2010-Mar,
  author =              {Martyugin, Pavel V.},
  title =               {Complexity of Problems Concerning Carefully
                         Synchronizing Words for~{PFA} and Directing Words
                         for~{NFA}},
  editor =              {Ablayev, Farid M. and Mayr, Ernst W.},
  booktitle =           {{P}roceedings of the 5th {I}nternational {C}omputer
                         {S}cience {S}ymposium in {R}usia ({CSR}'10)},
  acronym =             {{CSR}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6072},
  pages =               {288-302},
  year =                {2010},
  month =               jun,
  doi =                 {10.1007/978-3-642-13182-0_27},
}
[Mar10] Manuel Biscaia Martins. Supervisory Control of Petri Nets using Linear Temporal Logic. Thèse de doctorat, Instituto Superior Técnico, Universidade Técnica de Lisboa, Portugal, Janvier 2010.
@phdthesis{phd-mbmartins,
  author =              {Martins, Manuel Biscaia},
  title =               {Supervisory Control of {P}etri Nets using Linear
                         Temporal Logic},
  year =                {2010},
  month =               jan,
  school =              {Instituto Superior T\'ecnico, Universidade T\'ecnica
                         de Lisboa, Portugal},
  type =                {Th\`ese de doctorat},
}
[Mar11] Nicolas Markey. Robustness in Real-time Systems. In SIES'11, pages 28-34. IEEE Comp. Soc. Press, juin 2011.
Résumé

We review several aspects of robustness of real-time systems, and present recent results on the robust verification of timed automata.

@inproceedings{sies2011-Mar,
  author =              {Markey, Nicolas},
  title =               {Robustness in Real-time Systems},
  booktitle =           {{P}roceedings of the 6th {IEEE} {I}nternational
                         {S}ymposium on {I}ndustrial {E}mbedded {S}ystems
                         ({SIES}'11)},
  acronym =             {{SIES}'11},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {28-34},
  year =                {2011},
  month =               jun,
  doi =                 {10.1109/SIES.2011.5953652},
  abstract =            {We~review several aspects of robustness of real-time
                         systems, and present recent results on the robust
                         verification of timed automata.},
}
[Mar11] Nicolas Markey. Verification of Embedded Systems – Algorithms and Complexity. Mémoire d'habilitation, École Normale Supérieure de Cachan, France, Avril 2011.
@phdthesis{hdr2011-Mar,
  author =              {Markey, Nicolas},
  title =               {Verification of Embedded Systems -- Algorithms and
                         Complexity},
  year =                {2011},
  month =               apr,
  school =              {{\'E}cole Normale Sup{\'e}rieure de Cachan, France},
  type =                {M\'emoire d'habilitation},
}
[Mar14] Nicolas Markey. Cassting: Synthesizing Complex Systems Using Non-Zero-Sum Games. ERCIM News 97:25-26. European Research Consortium for Informatics and Mathematics, avril 2014.
@article{ercimnews97-Mar,
  author =              {Markey, Nicolas},
  title =               {Cassting: Synthesizing Complex Systems Using
                         Non-Zero-Sum Games},
  publisher =           {European Research Consortium for Informatics and
                         Mathematics},
  journal =             {ERCIM News},
  volume =              {97},
  pages =               {25-26},
  year =                {2014},
  month =               apr,
  url =                 {http://ercim-news.ercim.eu/en97/special/
  cassting-synthesizing-complex-systems-using-non-zero-sum-games},
}
[Mar17] Nicolas Markey. Temporal logics for multi-agent systems (invited talk). In MFCS'17, Leibniz International Proceedings in Informatics 84, pages 84:1-84:3. Leibniz-Zentrum für Informatik, août 2017.
@inproceedings{mfcs2017-Mar,
  author =              {Markey, Nicolas},
  title =               {Temporal logics for multi-agent systems
                         (invited~talk)},
  editor =              {Larsen, Kim Guldstrand and Bodlaender, Hans L. and
                         Raskin, Jean-Fran{\c c}ois},
  booktitle =           {{P}roceedings of the 42nd {I}nternational
                         {S}ymposium on {M}athematical {F}oundations of
                         {C}omputer {S}cience ({MFCS}'17)},
  acronym =             {{MFCS}'17},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {84},
  pages =               {84:1-84:3},
  year =                {2017},
  month =               aug,
  doi =                 {10.4230/LIPIcs.MFCS.2017.84},
}
[Mar23] Nicolas Markey. Computing the price of anarchy in atomic network congestion games (invited talk). In FORMATS'23, Lecture Notes in Computer Science 14138, pages 3-12. Springer-Verlag, septembre 2023.
Résumé

Network congestion games are a simple model for reasoning about routing problems in a network. They are a very popular topic in algorithmic game theory, and a huge amount of results about existence and (in)efficiency of equilibrium strategy profiles in those games have been obtained over the last 20 years.

In particular, the price of anarchy has been defined as an important notion for measuring the inefficiency of Nash equilibria. Generic bounds have been obtained for the price of anarchy over various classes of networks, but little attention has been put on the effective computation of this value for a given network. This talk presents recent results on this problem in different settings.

@inproceedings{formats2023-Mar,
  author =              {Markey, Nicolas},
  title =               {Computing the price of anarchy in atomic network
                         congestion games (invited~talk)},
  editor =              {Petrucci, Laure and Sproston, Jeremy},
  booktitle =           {{P}roceedings of the 21st {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'23)},
  acronym =             {{FORMATS}'23},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {14138},
  pages =               {3-12},
  year =                {2023},
  month =               sep,
  doi =                 {10.1007/978-3-031-42626-1_1},
  abstract =            {Network congestion games are a simple model for
                         reasoning about routing problems in a network. They
                         are a very popular topic in algorithmic game theory,
                         and a huge amount of results about existence and
                         (in)efficiency of equilibrium strategy profiles in
                         those games have been obtained over the last
                         20~years. \par In~particular, the price of anarchy
                         has been defined as an important notion for
                         measuring the inefficiency of Nash equilibria.
                         Generic bounds have been obtained for the price of
                         anarchy over various classes of networks, but little
                         attention has been put on the effective computation
                         of this value for a given network. This talk
                         presents recent results on this problem in different
                         settings.},
}
[Mat02] Radu Mateescu. Local Model-Checking of Modal Mu-Calculus on Acyclic Labeled Transition Systems. Research Report 4430, INRIA Rhône-Alpes, Montbonnot, France, avril 2002.
@techreport{inria-4430,
  author =              {Mateescu, Radu},
  title =               {Local Model-Checking of Modal Mu-Calculus on Acyclic
                         Labeled Transition Systems},
  number =              {4430},
  year =                {2002},
  month =               apr,
  institution =         {INRIA Rh\^one-Alpes, Montbonnot, France},
  type =                {Research Report},
}
[Maz02] René Mazala. Infinite Games. In Erich Grädel, Wolfgang Thomas et Thomas Wilke (eds.), Automata, Logics, and Infinite Games, Lecture Notes in Computer Science 2500, pages 23-42. Springer-Verlag, 2002.
@incollection{lncs2500-mazala,
  author =              {Mazala, Ren{\'e}},
  title =               {Infinite Games},
  editor =              {Gr{\"a}del, Erich and Thomas, Wolfgang and Wilke,
                         Thomas},
  booktitle =           {Automata, Logics, and Infinite Games},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2500},
  pages =               {23-42},
  chapter =             {2},
  year =                {2002},
}
[MB08] Oded Maler et Grégory Batt. Approximating continuous systems by timed automata. In FMSB'08, Lecture Notes in Bioinformatics 5054, pages 77-89. Springer-Verlag, juin 2008.
@inproceedings{fmsb2008-MB,
  author =              {Maler, Oded and Batt, Gr{\'e}gory},
  title =               {Approximating continuous systems by timed automata},
  editor =              {Fisher, Jasmin},
  booktitle =           {{P}roceedings of the 1st {I}nternational {W}okshop
                         on {F}ormal {M}ethods in {S}ystems {B}iology
                         ({FMSB}'08)},
  acronym =             {{FMSB}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Bioinformatics},
  volume =              {5054},
  pages =               {77-89},
  year =                {2008},
  month =               jun,
  doi =                 {10.1007/978-3-540-68413-8_6},
}
[MBK03] Malik Magdon-Ismail, Costas Busch et Mukkai S. Krishnamoorthy. Cake-Cutting is not a Piece of Cake. In STACS'03, Lecture Notes in Computer Science 2607, pages 596-607. Springer-Verlag, février 2003.
@inproceedings{stacs2003-MBK,
  author =              {Magdon{-}Ismail, Malik and Busch, Costas and
                         Krishnamoorthy, Mukkai S.},
  title =               {Cake-Cutting is not a Piece of Cake},
  editor =              {Alt, Helmut and Habib, Michel},
  booktitle =           {{P}roceedings of the 20th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'03)},
  acronym =             {{STACS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2607},
  pages =               {596-607},
  year =                {2003},
  month =               feb,
}
[MBL+98] Hervé Marchand, Patricia Bournai, Michel Le Borgne et Paul Le Guernic. A Design Environment for Discrete-Event Controllers based on the SIGNAL Language. In SMC'98, pages 770-775. IEEE Comp. Soc. Press, octobre 1998.
@inproceedings{ieeesmc1998-MBLL,
  author =              {Marchand, Herv{\'e} and Bournai, Patricia and
                         Le{~}Borgne, Michel and Le{~}Guernic, Paul},
  title =               {A Design Environment for Discrete-Event Controllers
                         based on the {SIGNAL} Language},
  booktitle =           {{P}roceedings of the 1998 {IEEE} {I}nternational
                         {C}onference on {S}ystems, {M}an, {A}nd
                         {C}ybernetics ({SMC}'98)},
  acronym =             {{SMC}'98},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {770-775},
  year =                {1998},
  month =               oct,
}
[McM93] Kenneth L. McMillan. Symbolic Model Checking – An Approach to the State Explosion Problem. PhD thesis, Carnegie Mellon University, 1993.
@phdthesis{phd-mcmillan,
  author =              {McMillan, Kenneth L.},
  title =               {Symbolic Model Checking~-- An~Approach to the State
                         Explosion Problem},
  year =                {1993},
  school =              {Carnegie Mellon University},
}
[McM93] Kenneth L. McMillan. Symbolic Model Checking. Kluwer Academic, 1993.
@book{McM93-book,
  author =              {McMillan, Kenneth L.},
  title =               {Symbolic Model Checking},
  publisher =           {Kluwer Academic},
  year =                {1993},
}
[McM99] Kenneth L. McMillan. Verification of infinite state systems by compositional model checking. In CHARME'99, Lecture Notes in Computer Science 1703, pages 219-237. Springer-Verlag, septembre 1999.
@inproceedings{charme1999-McM,
  author =              {McMillan, Kenneth L.},
  title =               {Verification of infinite state systems by
                         compositional model checking},
  editor =              {Pierre, Laurence and Kropf, {\relax Th}omas},
  booktitle =           {{P}roceedings of the 10th {C}orrect {H}ardware
                         {D}esign and {V}erification {M}ethods ({CHARME}'99)},
  acronym =             {{CHARME}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1703},
  pages =               {219-237},
  year =                {1999},
  month =               sep,
  doi =                 {10.1007/3-540-48153-2_17},
}
[McM02] Kenneth L. McMillan. Applying SAT Methods in Unbounded Symbolic Model Checking. In CAV'02, Lecture Notes in Computer Science 2404, pages 250-264. Springer-Verlag, juillet 2002.
@inproceedings{cav2002-McM,
  author =              {McMillan, Kenneth L.},
  title =               {Applying {SAT} Methods in Unbounded Symbolic Model
                         Checking},
  editor =              {Brinksma, Ed and Larsen, Kim Guldstrand},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'02)},
  acronym =             {{CAV}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2404},
  pages =               {250-264},
  year =                {2002},
  month =               jul,
}
[McM06] Kenneth L. McMillan. Lazy Abstraction with Interpolants. In CAV'06, Lecture Notes in Computer Science 4144, pages 123-136. Springer-Verlag, juillet 2006.
@inproceedings{cav2006-McM,
  author =              {McMillan, Kenneth L.},
  title =               {Lazy Abstraction with Interpolants},
  editor =              {Ball, Thomas and Jones, Robert},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'06)},
  acronym =             {{CAV}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4144},
  pages =               {123-136},
  year =                {2006},
  month =               jul,
  doi =                 {10.1007/11817963_14},
}
[McN66] Robert McNaughton. Testing and Generating Infinite Sequences by a Finite Automaton. Information and Control 9(6):521-530. Academic Press, décembre 1966.
@article{icont9(6)-McN,
  author =              {McNaughton, Robert},
  title =               {Testing and Generating Infinite Sequences by a
                         Finite Automaton},
  publisher =           {Academic Press},
  journal =             {Information and Control},
  volume =              {9},
  number =              {6},
  pages =               {521-530},
  year =                {1966},
  month =               dec,
}
[McN93] Robert McNaughton. Infinite Games Played on Finite Graphs. Annals of Pure and Applied Logic 65(2):149-184. Elsevier, décembre 1993.
@article{apal65(2)-Mcn,
  author =              {McNaughton, Robert},
  title =               {Infinite Games Played on Finite Graphs},
  publisher =           {Elsevier},
  journal =             {Annals of Pure and Applied Logic},
  volume =              {65},
  number =              {2},
  pages =               {149-184},
  year =                {1993},
  month =               dec,
}
[MH84] Satoru Miyano et Takeshi Hayashi. Alternating Finite Automata on ω-words. Theoretical Computer Science 32:321-330. Elsevier, 1984.
@article{tcs32()-MH,
  author =              {Miyano, Satoru and Hayashi, Takeshi},
  title =               {Alternating Finite Automata on {\(\omega\)}-words},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {32},
  pages =               {321-330},
  year =                {1984},
}
[Mil80] Robin Milner. A Calculus of Communicating Systems. Lecture Notes in Computer Science 92. Springer-Verlag, 1980.
@book{Milner-lncs92,
  author =              {Milner, Robin},
  title =               {A Calculus of Communicating Systems},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {92},
  year =                {1980},
}
[Mil89] Robin Milner. Communication and concurrency. Prentice Hall International Series in Computer Science. Prentice Hall, décembre 1989.
@book{Milner-CC1989,
  author =              {Milner, Robin},
  title =               {Communication and concurrency},
  publisher =           {Prentice Hall},
  series =              {Prentice Hall International Series in Computer
                         Science},
  year =                {1989},
  month =               dec,
}
[Mil00] Joseph S. Miller. Decidability and Complexity Results for Timed Automata and Semi-linear Hybrid Automata. In HSCC'00, Lecture Notes in Computer Science 1790, pages 296-310. Springer-Verlag, mars 2000.
@inproceedings{hscc2000-Mil,
  author =              {Miller, Joseph S.},
  title =               {Decidability and Complexity Results for Timed
                         Automata and Semi-linear Hybrid Automata},
  editor =              {Lynch, Nancy and Krogh, Bruce H.},
  booktitle =           {{P}roceedings of the 3rd {I}nternational {W}orkshop
                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'00)},
  acronym =             {{HSCC}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1790},
  pages =               {296-310},
  year =                {2000},
  month =               mar,
}
[Min61] Marvin L. Minsky. Recursive Unsolvability of Post's Problem of "Tag" and other Topics in Theory of Turing Machines. Annals of Mathematics 74(3):437-455. Princeton University Press, novembre 1961.
@article{am74(3)-Min,
  author =              {Minsky, Marvin L.},
  title =               {Recursive Unsolvability of {P}ost's Problem of
                         {"}Tag{"} and other Topics in Theory of {T}uring
                         Machines},
  publisher =           {Princeton University Press},
  journal =             {Annals of Mathematics},
  volume =              {74},
  number =              {3},
  pages =               {437-455},
  year =                {1961},
  month =               nov,
}
[Min67] Marvin L. Minsky. Computation: Finite and Infinite Machines. Prentice Hall, Inc., 1967.
@book{cfim1967-Min,
  author =              {Minsky, Marvin L.},
  title =               {Computation: Finite and Infinite Machines},
  booktitle =           {Computation: Finite and Infinite Machines},
  publisher =           {Prentice Hall, Inc.},
  year =                {1967},
}
[Min99] Marius Minea. Partial Order Reduction for Model Checking of Timed Automata. In CONCUR'99, Lecture Notes in Computer Science 1664, pages 431-446. Springer-Verlag, août 1999.
@inproceedings{concur1999-Min,
  author =              {Minea, Marius},
  title =               {Partial Order Reduction for Model Checking of Timed
                         Automata},
  editor =              {Baeten, Jos C. M. and Mauw, Sjouke},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'99)},
  acronym =             {{CONCUR}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1664},
  pages =               {431-446},
  year =                {1999},
  month =               aug,
}
[Min99] Marius Minea. Partial-order reduction for verification of timed systems. PhD thesis, Computer Science Deparment, Carnegie Mellon University, Pittsburgh, Pennsylvania, USA, Décembre 1999.
@phdthesis{phd-minea,
  author =              {Minea, Marius},
  title =               {Partial-order reduction for verification of timed
                         systems},
  year =                {1999},
  month =               dec,
  school =              {Computer Science Deparment, Carnegie Mellon
                         University, Pittsburgh, Pennsylvania, USA},
}
[Mit05] David G. Mitchell. A SAT Solver Primer. EATCS Bulletin 85:112-132. EATCS, février 2005.
@article{eatcs-bull85()-Mit,
  author =              {Mitchell, David G.},
  title =               {A {SAT} Solver Primer},
  publisher =           {EATCS},
  journal =             {EATCS Bulletin},
  volume =              {85},
  pages =               {112-132},
  year =                {2005},
  month =               feb,
}
[Miy91] Satoru Miyano. Δ2P-complete lexicographically first maximal subgraph problems. Theoretical Computer Science 88(1):33-57. Elsevier, 1991.
@article{tcs88(1)-Miy,
  author =              {Miyano, Satoru},
  title =               {{\(\Delta_2^P\)}-complete lexicographically first
                         maximal subgraph problems},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {88},
  number =              {1},
  pages =               {33-57},
  year =                {1991},
}
[MLA+99] Jesper B. Møller, Jakob Lichtenberg, Henrik Reif Andersen et Henrik Hulgaard. Difference Decision Diagrams. In CSL'99, Lecture Notes in Computer Science 1862, pages 111-125. Springer-Verlag, septembre 1999.
@inproceedings{csl1999-MLAH,
  author =              {M{\o}ller, Jesper B. and Lichtenberg, Jakob and
                         Andersen, Henrik Reif and Hulgaard, Henrik},
  title =               {Difference Decision Diagrams},
  editor =              {Flum, J{\"o}rg and Rodr{\'\i}guez{-}Artalejo, Mario},
  booktitle =           {{P}roceedings of the 13th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'99)},
  acronym =             {{CSL}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1862},
  pages =               {111-125},
  year =                {1999},
  month =               sep,
}
[MM02] Annabelle K. McIver et Carroll C. Morgan. Games, Probability and the Quantitative μ-calculus. In LPAR'02, Lecture Notes in Computer Science 2514, pages 292-310. Springer-Verlag, octobre 2002.
@inproceedings{lpar2002-MM,
  author =              {McIver, Annabelle K. and Morgan, Carroll C.},
  title =               {Games, Probability and the Quantitative
                         {\(\mu\)}-calculus},
  editor =              {Baaz, Matthias and Voronkov, Andrei},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference {L}ogic {P}rogramming and {A}utomated
                         {R}easoning ({LPAR}'02)},
  acronym =             {{LPAR}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2514},
  pages =               {292-310},
  year =                {2002},
  month =               oct,
}
[MMK+94] Louise E. Moser, P. Michael Melliar-Smith, George Kutty et Y. Srinivas Ramakrishna. Completeness and Soundness of Axiomatizations for Temporal Logics without Next. Fundamenta Informaticae 21(4):257-305. IOS Press, octobre 1994.
@article{fundi21(4)-MMKR,
  author =              {Moser, Louise E. and Melliar{-}Smith, P. Michael and
                         Kutty, George and Ramakrishna, Y. Srinivas},
  title =               {Completeness and Soundness of Axiomatizations for
                         Temporal Logics without Next},
  publisher =           {IOS Press},
  journal =             {Fundamenta Informaticae},
  volume =              {21},
  number =              {4},
  pages =               {257-305},
  year =                {1994},
  month =               oct,
}
[MMP+20] Bastien Maubert, Aniello Murano, Sophie Pinchinat, François Schwarzentruber et Silvia Stranieri. Dynamic Epistemic Logic Games with Epistemic Temporal Goals. Technical Report 2001-07141, arXiv, janvier 2020.
@techreport{arxiv2001.07141-MMPSS,
  author =              {Maubert, Bastien and Murano, Aniello and Pinchinat,
                         Sophie and Schwarzentruber, Fran{\c c}ois and
                         Stranieri, Silvia},
  title =               {Dynamic Epistemic Logic Games with Epistemic
                         Temporal Goals},
  number =              {2001-07141},
  year =                {2020},
  month =               jan,
  institution =         {arXiv},
}
[MMP+12] Fabio Mogavero, Aniello Murano, Giuseppe Perelli et Moshe Y. Vardi. What Makes ATL* Decidable? A Decidable Fragment of Strategy Logic. In CONCUR'12, Lecture Notes in Computer Science 7454, pages 193-208. Springer-Verlag, septembre 2012.
@inproceedings{concur2012-MMPV,
  author =              {Mogavero, Fabio and Murano, Aniello and Perelli,
                         Giuseppe and Vardi, Moshe Y.},
  title =               {What Makes {ATL\(^{*}\)} Decidable? {A}~Decidable
                         Fragment of Strategy Logic},
  editor =              {Koutny, Maciej and Ulidowski, Irek},
  booktitle =           {{P}roceedings of the 23rd {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'12)},
  acronym =             {{CONCUR}'12},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7454},
  pages =               {193-208},
  year =                {2012},
  month =               sep,
}
[MMP+12] Fabio Mogavero, Aniello Murano, Giuseppe Perelli et Moshe Y. Vardi. Reasoning About Strategies: On the Model-Checking Problem. Research Report cs.LO/1112.6275, arXiv, décembre 2012.
@techreport{arxiv-cd.LO-1112.6275,
  author =              {Mogavero, Fabio and Murano, Aniello and Perelli,
                         Giuseppe and Vardi, Moshe Y.},
  title =               {Reasoning About Strategies: On the Model-Checking
                         Problem},
  number =              {cs.LO/1112.6275},
  year =                {2012},
  month =               dec,
  institution =         {arXiv},
  type =                {Research Report},
}
[MMP+14] Fabio Mogavero, Aniello Murano, Giuseppe Perelli et Moshe Y. Vardi. Reasoning About Strategies: On the Model-Checking Problem. ACM Transactions on Computational Logic 15(4):34:1-34:47. ACM Press, août 2014.
@article{tocl15(4)-MMPV,
  author =              {Mogavero, Fabio and Murano, Aniello and Perelli,
                         Giuseppe and Vardi, Moshe Y.},
  title =               {Reasoning About Strategies: On the Model-Checking
                         Problem},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {15},
  number =              {4},
  pages =               {34:1-34:47},
  year =                {2014},
  month =               aug,
  doi =                 {10.1145/2631917},
}
[MMP+17] Fabio Mogavero, Aniello Murano, Giuseppe Perelli et Moshe Y. Vardi. Reasoning About Strategies: On the Satisfiability Problem. Logical Methods in Computer Science 13(1). Mars 2017.
@article{lmcs13(1)-MMPV,
  author =              {Mogavero, Fabio and Murano, Aniello and Perelli,
                         Giuseppe and Vardi, Moshe Y.},
  title =               {Reasoning About Strategies: On~the~Satisfiability
                         Problem},
  journal =             {Logical Methods in Computer Science},
  volume =              {13},
  number =              {1},
  year =                {2017},
  month =               mar,
  doi =                 {10.23638/LMCS-13(1:9)2017},
}
[MMS13] Fabio Mogavero, Aniello Murano et Luigi Sauro. On the Boundary of Behavioral Strategies. In LICS'13, pages 263-272. IEEE Comp. Soc. Press, juin 2013.
@inproceedings{lics2013-MMS,
  author =              {Mogavero, Fabio and Murano, Aniello and Sauro,
                         Luigi},
  title =               {On the Boundary of Behavioral Strategies},
  booktitle =           {{P}roceedings of the 28th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'13)},
  acronym =             {{LICS}'13},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {263-272},
  year =                {2013},
  month =               jun,
}
[MMS14] Fabio Mogavero, Aniello Murano et Luigi Sauro. A Behavioral Hierarchy of Strategy Logic. In CLIMA'14, Lecture Notes in Artificial Intelligence 8624, pages 148-165. Springer-Verlag, août 2014.
@inproceedings{clima2014-MMS,
  author =              {Mogavero, Fabio and Murano, Aniello and Sauro,
                         Luigi},
  title =               {A Behavioral Hierarchy of Strategy Logic},
  editor =              {Bulling, Nils and van der Torre, Leendert W. N. and
                         Villata, Serena and Jamroga, Wojciech and
                         Vasconcelos, Wamberto Weber},
  booktitle =           {{P}roceedings of the 15th {I}nternational {W}orkshop
                         on {C}omputational {L}ogic in {M}ulti-{A}gent
                         {S}ystems ({CLIMA}'14)},
  acronym =             {{CLIMA}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Artificial Intelligence},
  volume =              {8624},
  pages =               {148-165},
  year =                {2014},
  month =               aug,
  doi =                 {10.1007/978-3-319-09764-0_10},
}
[MMT+08] Arne Meier, Martin Mundhenk, Michael Thomas et Heribert Vollmer. The Complexity of Satisfiability for Fragmentf of CTL and CTL*. In RP'08, pages 201-213. Septembre 2008.
@inproceedings{mmtv-rp08,
  author =              {Meier, Arne and Mundhenk, Martin and Thomas, Michael
                         and Vollmer, Heribert},
  title =               {The Complexity of Satisfiability for Fragmentf of
                         {CTL} and {CTL}\(^{*}\)},
  editor =              {Halava, Vesa and Potapov, Igor},
  booktitle =           {{P}roceedings of the 2nd {W}orkshop on
                         {R}eachability {P}roblems in {C}omputational
                         {M}odels ({RP}'08)},
  acronym =             {{RP}'08},
  pages =               {201-213},
  year =                {2008},
  month =               sep,
}
[MMV10] Fabio Mogavero, Aniello Murano et Moshe Y. Vardi. Reasoning about strategies. In FSTTCS'10, Leibniz International Proceedings in Informatics 8, pages 133-144. Leibniz-Zentrum für Informatik, décembre 2010.
@inproceedings{fsttcs2010-MMV,
  author =              {Mogavero, Fabio and Murano, Aniello and Vardi, Moshe
                         Y.},
  title =               {Reasoning about strategies},
  editor =              {Lodaya, Kamal and Mahajan, Meena},
  booktitle =           {{P}roceedings of the 30th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'10)},
  acronym =             {{FSTTCS}'10},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {8},
  pages =               {133-144},
  year =                {2010},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2010.133},
}
[MMV10] Fabio Mogavero, Aniello Murano et Moshe Y. Vardi. Relentful Strategic Reasoning in Alternating-Time Temporal Logic. In LPAR'10, Lecture Notes in Artificial Intelligence 6355, pages 371-386. Springer-Verlag, avril 2010.
@inproceedings{lpar2010(dakar)-MMV,
  author =              {Mogavero, Fabio and Murano, Aniello and Vardi, Moshe
                         Y.},
  title =               {Relentful Strategic Reasoning in Alternating-Time
                         Temporal Logic},
  editor =              {Clarke, Edmund M. and Voronkov, Andrei},
  booktitle =           {{P}roceedings of the 16th {I}nternational
                         {C}onference {L}ogic {P}rogramming and {A}utomated
                         {R}easoning ({LPAR}'10)},
  acronym =             {{LPAR}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Artificial Intelligence},
  volume =              {6355},
  pages =               {371-386},
  year =                {2010},
  month =               apr,
}
[MvN47] Oskar Morgenstern et John von Neumann. The Theory of Games and Economic Behavior. Princeton University Press, 1947.
@book{MvN-game1947,
  author =              {Morgenstern, Oskar and von~Neumann, John},
  title =               {The Theory of Games and Economic Behavior},
  publisher =           {Princeton University Press},
  year =                {1947},
}
[MN04] Oded Maler et Dejan Nickovic. Monitoring Temporal Properties of Continuous Signals. In FORMATS-FTRTFT'04, Lecture Notes in Computer Science 3253, pages 152-166. Springer-Verlag, septembre 2004.
@inproceedings{formats2004-MN,
  author =              {Maler, Oded and Nickovic, Dejan},
  title =               {Monitoring Temporal Properties of Continuous
                         Signals},
  editor =              {Lakhnech, Yassine and Yovine, Sergio},
  booktitle =           {{P}roceedings of the {J}oint {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'04) and {F}ormal
                         {T}echniques in {R}eal-Time and {F}ault-Tolerant
                         {S}ystems ({FTRTFT}'04)},
  acronym =             {{FORMATS-FTRTFT}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3253},
  pages =               {152-166},
  year =                {2004},
  month =               sep,
}
[MN10] Janusz Malinowski et Peter Niebert. SAT Based Bounded Model Checking with Partial Order Semantics for Timed Automata. In TACAS'10, Lecture Notes in Computer Science 6015, pages 405-419. Springer-Verlag, mars 2010.
@inproceedings{tacas2010-MN,
  author =              {Malinowski, Janusz and Niebert, Peter},
  title =               {{SAT} Based Bounded Model Checking with Partial
                         Order Semantics for Timed Automata},
  editor =              {Esparza, Javier and Majumdar, Rupak},
  booktitle =           {{P}roceedings of the 16th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'10)},
  acronym =             {{TACAS}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6015},
  pages =               {405-419},
  year =                {2010},
  month =               mar,
}
[MNP06] Oded Maler, Dejan Nickovic et Amir Pnueli. From MITL to Timed Automata. In FORMATS'06, Lecture Notes in Computer Science 4202, pages 274-289. Springer-Verlag, septembre 2006.
@inproceedings{formats2006-MNP,
  author =              {Maler, Oded and Nickovic, Dejan and Pnueli, Amir},
  title =               {From {MITL} to Timed Automata},
  editor =              {Asarin, Eugene and Bouyer, Patricia},
  booktitle =           {{P}roceedings of the 4th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'06)},
  acronym =             {{FORMATS}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4202},
  pages =               {274-289},
  year =                {2006},
  month =               sep,
}
[MO97] Dieter van Melkebeek et Mitsunori Ogihara. Sparse Hard Sets for P. In Ding-zhu Du et Ker-I Ko (eds.), Advances in Algorithms, Languages and Complexity. Kluwer Academic, 1997.
@incollection{AALC1997-MO,
  author =              {Melkebeek, Dieter van and Ogihara, Mitsunori},
  title =               {Sparse Hard Sets for~{P}},
  editor =              {Du, Ding-zhu and Ko, Ker-I},
  booktitle =           {Advances in Algorithms, Languages and Complexity},
  publisher =           {Kluwer Academic},
  pages =               {191-208},
  year =                {1997},
}
[MO07] Maura Mazzarello et Ennio Ottaviani. A traffic management system for real-time traffic optimisation in railways. Transportation Research Part B: Methodological 41(2):246-274. Elsevier, février 2007.
@article{transpB41(2)-MO,
  author =              {Mazzarello, Maura and Ottaviani, Ennio},
  title =               {A~traffic management system for real-time traffic
                         optimisation in railways},
  publisher =           {Elsevier},
  journal =             {Transportation Research Part B: Methodological},
  volume =              {41},
  number =              {2},
  pages =               {246-274},
  year =                {2007},
  month =               feb,
  doi =                 {10.1016/j.trb.2006.02.005},
}
[Mon08] David Monniaux. A Quantifier Elimination Algorithm for Linear Real Arithmetic. In LPAR'08, Lecture Notes in Computer Science 5330, pages 243-257. Springer-Verlag, novembre 2008.
@inproceedings{lpar2008-Mon,
  author =              {Monniaux, David},
  title =               {A~Quantifier Elimination Algorithm for Linear Real
                         Arithmetic},
  editor =              {Cervesato, Iliano and Veith, Helmutand Voronkov,
                         Andrei},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference {L}ogic {P}rogramming and {A}utomated
                         {R}easoning ({LPAR}'08)},
  acronym =             {{LPAR}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5330},
  pages =               {243-257},
  year =                {2008},
  month =               nov,
  doi =                 {10.1007/978-3-540-89439-1_18},
}
[Moo56] Edward F. Moore. Gedanken-Experiments on Sequential Machines. In Claude E. Shannon et John McCarthy (eds.), Automata Studies, Annals of Mathematics Studies 34, pages 129-153. Princeton University Press, 1956.
@incollection{am34-Moo,
  author =              {Moore, Edward F.},
  title =               {Gedanken-Experiments on Sequential Machines},
  editor =              {Shannon, Claude E. and McCarthy, John},
  booktitle =           {Automata Studies},
  publisher =           {Princeton University Press},
  series =              {Annals of Mathematics Studies},
  volume =              {34},
  pages =               {129-153},
  year =                {1956},
  doi =                 {10.1515/9781400882618-006},
}
[Moo96] Cristopher Moore. Recursion Theory on the Reals and Continuous-Time Computation. Theoretical Computer Science 162(1):23-44. Elsevier, août 1996.
@article{tcs162(1)-Moo,
  author =              {Moore, Cristopher},
  title =               {Recursion Theory on the Reals and Continuous-Time
                         Computation},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {162},
  number =              {1},
  pages =               {23-44},
  year =                {1996},
  month =               aug,
}
[Mos91] Andrzej Mostowski. Games with forbidden positions. Research Report 78, University of Danzig, 1991.
@techreport{TR78-Mos91,
  author =              {Mostowski, Andrzej},
  title =               {Games with forbidden positions},
  number =              {78},
  year =                {1991},
  institution =         {University of Danzig},
  type =                {Research Report},
}
[MP88] Zohar Manna et Amir Pnueli. The Anchored Version of the Temporal Framework. In REX'88, Lecture Notes in Computer Science 354, pages 201-284. Springer-Verlag, mai 1988.
@inproceedings{rex1988-MP,
  author =              {Manna, Zohar and Pnueli, Amir},
  title =               {The Anchored Version of the Temporal Framework},
  editor =              {de~Bakker, Jaco W. and de Roever, Willem-Paul and
                         Rozenberg, Grzegorz},
  booktitle =           {{L}inear {T}ime, {B}ranching {T}ime and {P}artial
                         {O}rder in {L}ogics and {M}odels for
                         {C}oncurrency~--- {P}roceedings of {REX}
                         {S}chool{\slash}{W}orkshop~1988 ({REX}'88)},
  acronym =             {{REX}'88},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {354},
  pages =               {201-284},
  year =                {1988},
  month =               may,
}
[MP90] Oded Maler et Amir Pnueli. Tight Bounds on the Complexity of Cascaded Decomposition of Automata. In FOCS'90, pages 672-682. IEEE Comp. Soc. Press, octobre 1990.
@inproceedings{focs1990-MP,
  author =              {Maler, Oded and Pnueli, Amir},
  title =               {Tight Bounds on the Complexity of Cascaded
                         Decomposition of Automata},
  booktitle =           {{P}roceedings of the 31st {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'90)},
  acronym =             {{FOCS}'90},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {672-682},
  year =                {1990},
  month =               oct,
}
[MP90] Zohar Manna et Amir Pnueli. A Hierarchy of Temporal Properties. In PODC'90, pages 377-410. ACM Press, août 1990.
@inproceedings{podc1990-MP,
  author =              {Manna, Zohar and Pnueli, Amir},
  title =               {A Hierarchy of Temporal Properties},
  booktitle =           {{P}roceedings of the 9th {ACM} {S}ymposium on
                         {P}rinciples of {D}istributed {C}omputing
                         ({PODC}'90)},
  acronym =             {{PODC}'90},
  publisher =           {ACM Press},
  pages =               {377-410},
  year =                {1990},
  month =               aug,
}
[MP91] Zohar Manna et Amir Pnueli. Completing the Temporal Picture. Theoretical Computer Science 83(1):91-130. Elsevier, 1991.
@article{tcs83(1)-MP,
  author =              {Manna, Zohar and Pnueli, Amir},
  title =               {Completing the Temporal Picture},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {83},
  number =              {1},
  pages =               {91-130},
  year =                {1991},
}
[MP93] Zohar Manna et Amir Pnueli. Verifying Hybrid Systems. In HSCC'92, Lecture Notes in Computer Science 736, pages 4-35. Springer-Verlag, 1993.
@inproceedings{hscc1992-MP,
  author =              {Manna, Zohar and Pnueli, Amir},
  title =               {Verifying Hybrid Systems},
  editor =              {Grossman, Robert L. and Nerode, Anil and Ravn,
                         Anders P. and Rischel, Hans},
  booktitle =           {{H}ybrid {S}ystems ({HSCC}'92)},
  acronym =             {{HSCC}'92},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {736},
  pages =               {4-35},
  year =                {1993},
}
[MP05] Filippo Mera et Giovanni Pighizzini. Complementing Unary Nondeterministic Automata. Theoretical Computer Science 330(2):349-360. Elsevier, février 2005.
@article{tcs330(2)-MP,
  author =              {Mera, Filippo and Pighizzini, Giovanni},
  title =               {Complementing Unary Nondeterministic Automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {330},
  number =              {2},
  pages =               {349-360},
  year =                {2005},
  month =               feb,
}
[MPS95] Oded Maler, Amir Pnueli et Joseph Sifakis. On the Synthesis of Discrete Controllers for Timed Systems (An Extended Abstract). In STACS'95, Lecture Notes in Computer Science 900, pages 229-242. Springer-Verlag, mars 1995.
@inproceedings{stacs1995-MPS,
  author =              {Maler, Oded and Pnueli, Amir and Sifakis, Joseph},
  title =               {On the Synthesis of Discrete Controllers for Timed
                         Systems (An~Extended Abstract)},
  editor =              {Mayr, Ernst W. and Puech, Claude},
  booktitle =           {{P}roceedings of the 12th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'95)},
  acronym =             {{STACS}'95},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {900},
  pages =               {229-242},
  year =                {1995},
  month =               mar,
}
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@inproceedings{ijcai2019-MPS,
  author =              {Maubert, Bastien and Pinchinat, Sophie and
                         Schwarzentruber, Fran{\c c}ois},
  title =               {Reachability Games in Dynamic Epistemic Logic},
  editor =              {Kraus, Sarit},
  booktitle =           {{P}roceedings of the 28th {I}nternational {J}oint
                         {C}onference on {A}rtificial {I}ntelligence
                         ({IJCAI}'19)},
  acronym =             {{IJCAI}'19},
  publisher =           {IJCAI organization},
  pages =               {499-505},
  year =                {2019},
  month =               aug,
  doi =                 {10.24963/ijcai.2019/71},
}
[MPS+21] Bastien Maubert, Sophie Pinchinat, François Schwarzentruber et Silvia Stranieri. Concurrent Games in Dynamic Epistemic Logic. In IJCAI'20, pages 1877-1883. IJCAI organization, janvier 2021.
@inproceedings{ijcai2020-MPSS,
  author =              {Maubert, Bastien and Pinchinat, Sophie and
                         Schwarzentruber, Fran{\c c}ois and Stranieri,
                         Silvia},
  title =               {Concurrent Games in Dynamic Epistemic Logic},
  editor =              {Bessiere, Christian},
  booktitle =           {{P}roceedings of the 29th {I}nternational {J}oint
                         {C}onference on {A}rtificial {I}ntelligence
                         ({IJCAI}'20)},
  acronym =             {{IJCAI}'20},
  publisher =           {IJCAI organization},
  pages =               {1877-1883},
  year =                {2021},
  month =               jan,
  doi =                 {10.24963/ijcai.2020/260},
}
[MR95] Rajeev Motwani et Prabhakar Raghavan. Randomized algorithms. Cambridge University Press, 1995.
@book{MR95-RA,
  author =              {Motwani, Rajeev and Raghavan, Prabhakar},
  title =               {Randomized algorithms},
  publisher =           {Cambridge University Press},
  year =                {1995},
}
[MR99] Faron Moller et Alexander Rabinovich. On the expressive power of CTL*. In LICS'99, pages 360-368. IEEE Comp. Soc. Press, juillet 1999.
@inproceedings{lics1999-MR,
  author =              {Moller, Faron and Rabinovich, Alexander},
  title =               {On the expressive power of
                         {CTL}{\textsuperscript{*}}},
  booktitle =           {{P}roceedings of the 14th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'99)},
  acronym =             {{LICS}'99},
  publisher =           {IEEE Comp. Soc. Press},
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}
[MR03] Faron Moller et Alexander Rabinovich. Counting on CTL*: on the expressive power of monadic path logic. Information and Computation 184(1):147-159. Academic Press, juillet 2003.
@article{icomp184(1)-MR,
  author =              {Moller, Faron and Rabinovich, Alexander},
  title =               {Counting on {CTL}{\textsuperscript{*}}: on~the
                         expressive power of monadic path logic},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {184},
  number =              {1},
  pages =               {147-159},
  year =                {2003},
  month =               jul,
}
[MR04] Nicolas Markey et Jean-François Raskin. Model Checking Restricted Sets of Timed Paths. In CONCUR'04, Lecture Notes in Computer Science 3170, pages 432-447. Springer-Verlag, août 2004.
Résumé

In this paper, we study the complexity of model-checking formulas of three important real-time logics (MTL, MITL, and TCTL) over restricted sets of timed paths. The classes of restricted sets of timed paths that we consider are (i) a single finite (or ultimately periodic) timed path, (ii) a infinite set of finite (or infinite) timed paths defined by a finite (or ultimately periodic) path in a region graph, (iii) a infinite set of finite (or infinite) timed paths defined by a finite (or ultimately periodic) path in a zone graph.

@inproceedings{concur2004-MR,
  author =              {Markey, Nicolas and Raskin, Jean-Fran{\c c}ois},
  title =               {Model Checking Restricted Sets of Timed Paths},
  editor =              {Gardner, {\relax Ph}ilippa and Yoshida, Nobuko},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'04)},
  acronym =             {{CONCUR}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3170},
  pages =               {432-447},
  year =                {2004},
  month =               aug,
  doi =                 {10.1007/978-3-540-28644-8_28},
  abstract =            {In this paper, we study the complexity of
                         model-checking formulas of three important real-time
                         logics (MTL, MITL, and TCTL) over restricted sets of
                         timed paths. The classes of restricted sets of timed
                         paths that we consider are \textit{(i)} a single
                         finite (or ultimately periodic) timed path,
                         \textit{(ii)} a infinite set of finite (or infinite)
                         timed paths defined by a finite (or ultimately
                         periodic) path in a region graph, \textit{(iii)} a
                         infinite set of finite (or infinite) timed paths
                         defined by a finite (or ultimately periodic) path in
                         a zone graph.},
}
[MR06] Nicolas Markey et Jean-François Raskin. Model Checking Restricted Sets of Timed Paths. Theoretical Computer Science 358(2-3):273-292. Elsevier, août 2006.
Résumé

In this paper, we study the complexity of model-checking formulas of four important real-time logics (TPTL, MTL, MITL, and TCTL) over restricted sets of timed paths. The classes of restricted sets of timed paths that we consider are (i) a single finite (or ultimately periodic) timed path, (ii) an infinite set of finite (or infinite) timed paths defined by a finite (or ultimately periodic) path in a region graph, (iii) an infinite set of finite (or infinite) timed paths defined by a finite (or ultimately periodic) path in a zone graph.

Several results are quite negative: TPTL and MTL remain undecidable along region- and zone-paths. On the other hand, we obtained PTIME algorithms for model checking TCTL along a region path, and for MTL along a single timed path.

@article{tcs358(2-3)-MR,
  author =              {Markey, Nicolas and Raskin, Jean-Fran{\c c}ois},
  title =               {Model Checking Restricted Sets of Timed Paths},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {358},
  number =              {2-3},
  pages =               {273-292},
  year =                {2006},
  month =               aug,
  doi =                 {10.1016/j.tcs.2006.01.019},
  abstract =            {In this paper, we study the complexity of
                         model-checking formulas of four important real-time
                         logics (TPTL, MTL, MITL, and TCTL) over restricted
                         sets of timed paths. The classes of restricted sets
                         of timed paths that we consider are
                         \textit{(i)}~a~single finite (or ultimately
                         periodic) timed path, \textit{(ii)}~an~infinite set
                         of finite (or infinite) timed paths defined by a
                         finite (or ultimately periodic) path in a region
                         graph, \textit{(iii)}~an~infinite set of finite (or
                         infinite) timed paths defined by a finite (or
                         ultimately periodic) path in a zone graph. \par
                         Several results are quite negative: TPTL and MTL
                         remain undecidable along region- and zone-paths. On
                         the other hand, we obtained PTIME algorithms for
                         model checking TCTL along a region path, and for MTL
                         along a single timed path.},
}
[MRK88] Gary L. Miller, Vijaya Ramachandran et Erich Kaltofen. Efficient Parallel Evaluation of Straight-line Code and Arithmetic Circuits. SIAM Journal on Computing 17(4):687-695. Society for Industrial and Applied Math., août 1988.
@article{siamcomp17(4)-MRK,
  author =              {Miller, Gary L. and Ramachandran, Vijaya and
                         Kaltofen, Erich},
  title =               {Efficient Parallel Evaluation of Straight-line Code
                         and Arithmetic Circuits},
  publisher =           {Society for Industrial and Applied Math.},
  journal =             {SIAM Journal on Computing},
  volume =              {17},
  number =              {4},
  pages =               {687-695},
  year =                {1988},
  month =               aug,
}
[MRV99] Pierre McKenzie, Klaus Reinhardt et V. Vinay. Circuits and Context-free Languages. In COCOON'99, Lecture Notes in Computer Science 1627, pages 194-203. Springer-Verlag, juillet 1999.
@inproceedings{cocoon1999-MRV,
  author =              {McKenzie, Pierre and Reinhardt, Klaus and Vinay, V.},
  title =               {Circuits and Context-free Languages},
  editor =              {Asano, Takao and Imai, Hiroshi and Lee, D. T. and
                         Nakano, Shin-Ichi and Tokuyama, Takeshi},
  booktitle =           {{P}roceedings of the 5th {C}omputing and
                         {C}ombinatorics ({COCOON}'99)},
  acronym =             {{COCOON}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1627},
  pages =               {194-203},
  year =                {1999},
  month =               jul,
}
[MRW05] Peter Bro Miltersen, Jaikumar Radhakrishnan et Ingo Wegener. On Converting CNF to DNF. Theoretical Computer Science 347(1-2):325-335. Elsevier, novembre 2005.
@article{tcs347(1-2)-MRW,
  author =              {Miltersen, Peter Bro and Radhakrishnan, Jaikumar and
                         Wegener, Ingo},
  title =               {On Converting {CNF} to {DNF}},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {347},
  number =              {1-2},
  pages =               {325-335},
  year =                {2005},
  month =               nov,
}
[MS72] Albert R. Meyer et Larry J. Stockmeyer. The Equivalence Problem for Regular Expressions with Squaring Requires Exponential Space. In FOCS'72, pages 125-129. IEEE Comp. Soc. Press, octobre 1972.
@inproceedings{focs1972-MS,
  author =              {Meyer, Albert R. and Stockmeyer, Larry J.},
  title =               {The Equivalence Problem for Regular Expressions with
                         Squaring Requires Exponential Space},
  booktitle =           {{P}roceedings of the 13th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'72)},
  acronym =             {{FOCS}'72},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {125-129},
  year =                {1972},
  month =               oct,
}
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@inproceedings{epit1984-MS,
  author =              {Muller, David E. and Schupp, Paul E.},
  title =               {Alternating automata on infinite objects,
                         determinacy and {R}abin's theorem},
  editor =              {Nivat, Maurice and Perrin, Dominique},
  booktitle =           {{A}utomata on {I}nfinite {W}ords~-- {{\'E}}cole de
                         {P}rintemps d'{I}nformatique {T}h{\'e}orique
                         ({EPIT}'84)},
  acronym =             {{EPIT}'84},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {192},
  pages =               {99-107},
  year =                {1985},
  confyear =            {1984},
  confmonth =           {5},
  doi =                 {10.1007/3-540-15641-0_27},
}
[MS87] David E. Muller et Paul E. Schupp. Alternating Automata on Infinite Trees. Theoretical Computer Science 54(2-3):267-276. Elsevier, octobre 1987.
@article{tcs54(2-3)-MS,
  author =              {Muller, David E. and Schupp, Paul E.},
  title =               {Alternating Automata on Infinite Trees},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {54},
  number =              {2-3},
  pages =               {267-276},
  year =                {1987},
  month =               oct,
}
[MS95] David E. Muller et Paul E. Schupp. Simulating alternating tree automata by nondeterministic automata: New results and new proofs of the theorems of Rabin, McNaughton and Safra. Theoretical Computer Science 141(1-2):69-107. Elsevier, avril 1995.
@article{tcs141(1-2)-MS,
  author =              {Muller, David E. and Schupp, Paul E.},
  title =               {Simulating alternating tree automata by
                         nondeterministic automata: New results and new
                         proofs of the theorems of {R}abin, {M}c{N}aughton
                         and {S}afra},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {141},
  number =              {1-2},
  pages =               {69-107},
  year =                {1995},
  month =               apr,
}
[MS96] Dov Monderer et Lloyd S. Shapley. Potential Games. Games and Economic Behavior 14(1):124-143. Mai 1996.
@article{geb14(1)-MS,
  author =              {Monderer, Dov and Shapley, Lloyd S.},
  title =               {Potential Games},
  journal =             {Games and Economic Behavior},
  volume =              {14},
  number =              {1},
  pages =               {124-143},
  year =                {1996},
  month =               may,
  doi =                 {10.1006/game.1996.0044},
}
[MS97] Oded Maler et Ludwig Staiger. On Syntactic Congruences fpr ω-languages. Theoretical Computer Science 183(1):93-112. Elsevier, août 1997.
@article{tcs183(1)-MS,
  author =              {Maler, Oded and Staiger, Ludwig},
  title =               {On Syntactic Congruences fpr {\(\omega\)}-languages},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {183},
  number =              {1},
  pages =               {93-112},
  year =                {1997},
  month =               aug,
}
[MS00] Zohar Manna et Henny Sipma. Alternating the Temporal Picture for Safety. In ICALP'00, Lecture Notes in Computer Science 1853, pages 429-450. Springer-Verlag, juillet 2000.
@inproceedings{icalp2000-MS,
  author =              {Manna, Zohar and Sipma, Henny},
  title =               {Alternating the Temporal Picture for Safety},
  editor =              {Montanari, Ugo and Rolim, Jos\'e D. P. and Welzl,
                         Emo},
  booktitle =           {{P}roceedings of the 27th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'00)},
  acronym =             {{ICALP}'00},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1853},
  pages =               {429-450},
  year =                {2000},
  month =               jul,
}
[MS02] Paolo Maggi et Riccardo Sisto. Using SPIN to verify security properties of cryptographic protocols. In SPIN'02, Lecture Notes in Computer Science 2318, pages 187-204. Springer-Verlag, avril 2002.
@inproceedings{spin2002-MS,
  author =              {Maggi, Paolo and Sisto, Riccardo},
  title =               {Using SPIN to verify security properties of
                         cryptographic protocols},
  editor =              {Bosnacki, Dragan and Leue, Stefan},
  booktitle =           {{P}roceedings of the 9th {I}nternational {SPIN}
                         {W}orkshop ({SPIN}'02)},
  acronym =             {{SPIN}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2318},
  pages =               {187-204},
  year =                {2002},
  month =               apr,
}
[MS03] Nicolas Markey et Philippe Schnoebelen. Model Checking a Path (Preliminary Report). In CONCUR'03, Lecture Notes in Computer Science 2761, pages 251-265. Springer-Verlag, août 2003.
Résumé

We consider the problem of checking whether a finite (or ultimately periodic) run satisfies a temporal logic formula. This problem is at the heart of "runtime verification" but it also appears in many other situations. By considering several extended temporal logics, we show that the problem of model checking a path can usually be solved efficiently, and profit from specialized algorithms. We further show it is possible to efficiently check paths given in compressed form.

@inproceedings{concur2003-MS,
  author =              {Markey, Nicolas and Schnoebelen, {\relax Ph}ilippe},
  title =               {Model Checking a Path (Preliminary Report)},
  editor =              {Amadio, Roberto and Lugiez, Denis},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'03)},
  acronym =             {{CONCUR}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2761},
  pages =               {251-265},
  year =                {2003},
  month =               aug,
  doi =                 {10.1007/978-3-540-45187-7_17},
  abstract =            {We consider the problem of checking whether a finite
                         (or ultimately periodic) run satisfies a temporal
                         logic formula. This problem is at the heart of
                         {"}runtime verification{"} but it also appears in
                         many other situations. By considering several
                         extended temporal logics, we show that the problem
                         of model checking a path can usually be solved
                         efficiently, and profit from specialized algorithms.
                         We further show it is possible to efficiently check
                         paths given in compressed form.},
}
[MS04] Nicolas Markey et Philippe Schnoebelen. Symbolic Model Checking for Simply Timed Systems. In FORMATS-FTRTFT'04, Lecture Notes in Computer Science 3253, pages 102-117. Springer-Verlag, septembre 2004.
Résumé

We describe OBDD-based symbolic model checking algorithms for simply-timed systems, i.e. finite state graphs where transitions carry a duration. These durations can be arbitrary natural numbers. A simple and natural semantics for these systems opens the way for improved efficiency. Our algorithms have been implemented in NuSMV and perform well in practice (on standard case studies).

@inproceedings{formats2004-MS,
  author =              {Markey, Nicolas and Schnoebelen, {\relax Ph}ilippe},
  title =               {Symbolic Model Checking for Simply Timed Systems},
  editor =              {Lakhnech, Yassine and Yovine, Sergio},
  booktitle =           {{P}roceedings of the {J}oint {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'04) and {F}ormal
                         {T}echniques in {R}eal-Time and {F}ault-Tolerant
                         {S}ystems ({FTRTFT}'04)},
  acronym =             {{FORMATS-FTRTFT}'04},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3253},
  pages =               {102-117},
  year =                {2004},
  month =               sep,
  doi =                 {10.1007/978-3-540-30206-3_9},
  abstract =            {We describe OBDD-based symbolic model checking
                         algorithms for simply-timed systems, i.e. finite
                         state graphs where transitions carry a duration.
                         These durations can be arbitrary natural numbers.
                         A~simple and natural semantics for these systems
                         opens the way for improved efficiency. Our
                         algorithms have been implemented in NuSMV and
                         perform well in practice (on standard case
                         studies).},
}
[MS04] Nicolas Markey et Philippe Schnoebelen. TSMV: Symbolic Model Checking for Simply Timed Systems. In QEST'04, pages 330-331. IEEE Comp. Soc. Press, septembre 2004.
Résumé

TSMV is an extension of NuSMV, the open-source symbolic model checker, aimed at dealing with timed versions of (models of) circuits, PLC controllers, protocols, etc. The underlying model is an extension of Kripke structures, where every transition carries an integer duration (possibly zero). This simple model supports efficient symbolic algorithms for RTCTL formulae.

@inproceedings{qest2004-MS,
  author =              {Markey, Nicolas and Schnoebelen, {\relax Ph}ilippe},
  title =               {{TSMV}: Symbolic Model Checking for Simply Timed
                         Systems},
  booktitle =           {{P}roceedings of the 1st {I}nternational
                         {C}onference on {Q}uantitative {E}valuation of
                         {S}ystems ({QEST}'04)},
  acronym =             {{QEST}'04},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {330-331},
  year =                {2004},
  month =               sep,
  doi =                 {10.1109/QEST.2004.1348052},
  abstract =            {TSMV is an extension of NuSMV, the open-source
                         symbolic model checker, aimed at dealing with timed
                         versions of (models of) circuits, PLC controllers,
                         protocols, etc. The underlying model is an extension
                         of Kripke structures, where every transition carries
                         an integer duration (possibly zero). This simple
                         model supports efficient symbolic algorithms for
                         RTCTL formulae.},
}
[MS04] Nicolas Markey et Philippe Schnoebelen. A PTIME-Complete Matching Problem for SLP-Compressed Words. Information Processing Letters 90(1):3-6. Elsevier, avril 2004.
Résumé

SLP-compressed words are words given by simple deterministic grammars called "straight-line programs". We prove that the problem of deciding whether an SLP-compressed word is recognized by a FSA is complete for polynomial-time.

@article{ipl90(1)-MS,
  author =              {Markey, Nicolas and Schnoebelen, {\relax Ph}ilippe},
  title =               {A {PTIME}-Complete Matching Problem for
                         {SLP}-Compressed Words},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {90},
  number =              {1},
  pages =               {3-6},
  year =                {2004},
  month =               apr,
  doi =                 {10.1016/j.ipl.2004.01.002},
  abstract =            {SLP-compressed words are words given by simple
                         deterministic grammars called {"}straight-line
                         programs{"}. We prove that the problem of deciding
                         whether an SLP-compressed word is recognized by a
                         FSA is complete for polynomial-time.},
}
[MS06] Nicolas Markey et Philippe Schnoebelen. Mu-calculus path checking. Information Processing Letters 97(6):225-230. Elsevier, mars 2006.
Résumé

We investigate the path model checking problem for the μ-calculus. Surprisingly, restricting to deterministic structures does not allow for more efficient model checking algorithm, as we prove that it can encode any instance of the standard model checking problem for the μ-calculus.

@article{ipl97(6)-MS,
  author =              {Markey, Nicolas and Schnoebelen, {\relax Ph}ilippe},
  title =               {Mu-calculus path checking},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {97},
  number =              {6},
  pages =               {225-230},
  year =                {2006},
  month =               mar,
  doi =                 {10.1016/j.ipl.2005.11.010},
  abstract =            {We investigate the path model checking problem for
                         the \(\mu\)-calculus. Surprisingly, restricting to
                         deterministic structures does not allow for more
                         efficient model checking algorithm, as we prove that
                         it can encode any instance of the standard model
                         checking problem for the \(\mu\)-calculus.},
}
[MS07] Marios Mavronicolas et Paul G. Spirakis. The price of selfish routing. Algorithmica 48(1):91-126. Springer-Verlag, mai 2007.
@article{alga48(1)-MS,
  author =              {Mavronicolas, Marios and Spirakis, Paul G.},
  title =               {The price of selfish routing},
  publisher =           {Springer-Verlag},
  journal =             {Algorithmica},
  volume =              {48},
  number =              {1},
  pages =               {91-126},
  year =                {2007},
  month =               may,
  doi =                 {10.1007/s00453-006-0056-1},
}
[MS12] Carol A. Meyers et Andreas S. Schulz. The complexity of welfare maximization in congestion games. Networks 59(2):252-260. John Wiley & Sons, mars 2012.
@article{netw59(2)-MS,
  author =              {Meyers, Carol A. and Schulz, Andreas S.},
  title =               {The~complexity of welfare maximization in congestion
                         games},
  publisher =           {John Wiley \& Sons},
  journal =             {Networks},
  volume =              {59},
  number =              {2},
  pages =               {252-260},
  year =                {2012},
  month =               mar,
  doi =                 {10.1002/net.20439},
}
[MSS86] David E. Muller, Ahmed Saoudi et Paul E. Schupp. Alternating Automata, the Weak Monadic Theory of the Tree, and its Complexity. In ICALP'86, Lecture Notes in Computer Science 226, pages 275-283. Springer-Verlag, juillet 1986.
@inproceedings{icalp1986-MSS,
  author =              {Muller, David E. and Saoudi, Ahmed and Schupp, Paul
                         E.},
  title =               {Alternating Automata, the Weak Monadic Theory of the
                         Tree, and its Complexity},
  editor =              {Kott, Laurent},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'86)},
  acronym =             {{ICALP}'86},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {226},
  pages =               {275-283},
  year =                {1986},
  month =               jul,
}
[MSS88] David E. Muller, Ahmed Saoudi et Paul E. Schupp. Weak Alternating Automata Give a Simple Explanation of Why Most Temporal Logics are Decidable in Exponential Time. In LICS'88, pages 422-427. IEEE Comp. Soc. Press, juillet 1988.
@inproceedings{lics1988-MSS,
  author =              {Muller, David E. and Saoudi, Ahmed and Schupp, Paul
                         E.},
  title =               {Weak Alternating Automata Give a Simple Explanation
                         of Why Most Temporal Logics are Decidable in
                         Exponential Time},
  booktitle =           {{P}roceedings of the 3rd {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'88)},
  acronym =             {{LICS}'88},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {422-427},
  year =                {1988},
  month =               jul,
}
[MST97] Masamichi Miyazaki, Ayumi Shinohara et Masayuki Takeda. An Improved Pattern-Matching Algorithm for Strings in Terms of Straight-Line Programs. In CPM'97, Lecture Notes in Computer Science 1264, pages 1-11. Springer-Verlag, juin 1997.
@inproceedings{cpm1997-MST,
  author =              {Miyazaki, Masamichi and Shinohara, Ayumi and Takeda,
                         Masayuki},
  title =               {An Improved Pattern-Matching Algorithm for Strings
                         in Terms of Straight-Line Programs},
  booktitle =           {{P}roceedings of the 8th {A}nnual {S}ymposium on
                         {C}ombinatorial {P}attern {M}atching ({CPM}'97)},
  acronym =             {{CPM}'97},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1264},
  pages =               {1-11},
  year =                {1997},
  month =               jun,
}
[MT99] Alexis Maciel et Denis Thérien. Efficient Threshold Circuits for Power Series. Information and Computation 152(1):62-73. Academic Press, juin 1999.
@article{icomp152(1)-MT,
  author =              {Maciel, Alexis and Th{\'e}rien, Denis},
  title =               {Efficient Threshold Circuits for Power Series},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {152},
  number =              {1},
  pages =               {62-73},
  year =                {1999},
  month =               jun,
}
[Mul99] Markus Müller-Olm. A Modal Fixpoint Logic with Chop. In STACS'99, Lecture Notes in Computer Science 1563, pages 510-520. Springer-Verlag, mars 1999.
@inproceedings{stacs1999-Mul,
  author =              {M{\"u}ller{-}Olm, Markus},
  title =               {A Modal Fixpoint Logic with Chop},
  editor =              {Meinel, {\relax Ch}ristoph and Tison, Sophie},
  booktitle =           {{P}roceedings of the 16th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'99)},
  acronym =             {{STACS}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1563},
  pages =               {510-520},
  year =                {1999},
  month =               mar,
}
[Mun71] J. Ian Munro. Efficient Determination of the Transitive Closure of a Directed Graph. Information Processing Letters 1(2):56-58. Elsevier, juin 1971.
@article{ipl1(2)-Mun,
  author =              {Munro, J. Ian},
  title =               {Efficient Determination of the Transitive Closure of
                         a Directed Graph},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {1},
  number =              {2},
  pages =               {56-58},
  year =                {1971},
  month =               jun,
}
[MV14] Nicolas Markey et Steen Vester. Symmetry Reduction in Infinite Games with Finite Branching. In ATVA'14, Lecture Notes in Computer Science 8837, pages 281-296. Springer-Verlag, novembre 2014.
Résumé

Symmetry reductions have been applied extensively for the verification of finite-state concurrent systems and hardware designs using model-checking of temporal logics such as LTL, CTL and CTL*, as well as real-time and probabilistic-system model-checking. In this paper we extend the technique to handle infinite-state games on graphs with finite branching where the objectives of the players can be very general. As particular applications, it is shown that the technique can be applied to reduce the state space in parity games as well as when doing model-checking of the temporal logic ATL*.

@inproceedings{atva2014-MV,
  author =              {Markey, Nicolas and Vester, Steen},
  title =               {Symmetry Reduction in Infinite Games with Finite
                         Branching},
  editor =              {Cassez, Franck and Raskin, Jean-Fran{\c c}ois},
  booktitle =           {{P}roceedings of the 12th {I}nternational
                         {S}ymposium on {A}utomated {T}echnology for
                         {V}erification and {A}nalysis ({ATVA}'14)},
  acronym =             {{ATVA}'14},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8837},
  pages =               {281-296},
  year =                {2014},
  month =               nov,
  doi =                 {10.1007/978-3-319-11936-6_21},
  abstract =            {Symmetry reductions have been applied extensively
                         for the verification of finite-state concurrent
                         systems and hardware designs using model-checking of
                         temporal logics such as LTL, CTL and
                         CTL\textsuperscript{*}, as well as real-time and
                         probabilistic-system model-checking. In this paper
                         we extend the technique to handle infinite-state
                         games on graphs with finite branching where the
                         objectives of the players can be very general. As
                         particular applications, it is shown that the
                         technique can be applied to reduce the state space
                         in parity games as well as when doing model-checking
                         of the temporal logic ATL\textsuperscript{*}.},
}
[MVZ15] Pablo Muñoz, Nils Vortmeier et Thomas Zeume. Dynamic Graph Queries. Research Report 1512.05511, arXiv, décembre 2015.
@techreport{arxiv-1512.05511,
  author =              {Mu{\~n}oz, Pablo and Vortmeier, Nils and Zeume,
                         Thomas},
  title =               {Dynamic Graph Queries},
  number =              {1512.05511},
  year =                {2015},
  month =               dec,
  institution =         {arXiv},
  type =                {Research Report},
}
[MW98] Helmut Melcher et Klaus Winkelmann. Controller synthesis for the `production cell' case study. In FMSP'98, pages 24-33. ACM Press, mars 1998.
@inproceedings{fmsp1998-MW,
  author =              {Melcher, Helmut and Winkelmann, Klaus},
  title =               {Controller synthesis for the `production cell' case
                         study},
  editor =              {Ardis, Mark},
  booktitle =           {{P}roceedings of the 2nd {W}orkshop on {F}ormal
                         {M}ethods in {S}oftware {P}ractice ({FMSP}'98)},
  acronym =             {{FMSP}'98},
  publisher =           {ACM Press},
  pages =               {24-33},
  year =                {1998},
  month =               mar,
}
[MW99] Angelika Mader et Hanno Wupper. Timed automaton models for simple programmable logic controllers. In ECRTS'99, pages 106-113. IEEE Comp. Soc. Press, juin 1999.
@inproceedings{ecrta1999-MW,
  author =              {Mader, Angelika and Wupper, Hanno},
  title =               {Timed automaton models for simple programmable logic
                         controllers},
  booktitle =           {{P}roceedings of the 11th {E}uromicro {C}onference
                         on {R}eal-{T}ime {S}ystems ({ECRTS}'99)},
  acronym =             {{ECRTS}'99},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {106-113},
  year =                {1999},
  month =               jun,
}
[MW03] Pierre McKenzie et Klaus W. Wagner. The Complexity of Membership Problems for Circuits over Sets of Natural Numbers. In STACS'03, Lecture Notes in Computer Science 2607, pages 571-582. Springer-Verlag, février 2003.
@inproceedings{stacs2003-MW,
  author =              {McKenzie, Pierre and Wagner, Klaus W.},
  title =               {The Complexity of Membership Problems for Circuits
                         over Sets of Natural Numbers},
  editor =              {Alt, Helmut and Habib, Michel},
  booktitle =           {{P}roceedings of the 20th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'03)},
  acronym =             {{STACS}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2607},
  pages =               {571-582},
  year =                {2003},
  month =               feb,
}
[MW05] Anca Muscholl et Igor Walukiewicz. An NP-complete Fragment of LTL. International Journal of Foundations of Computer Science 16(4):743-753. Août 2005.
@article{ijfcs16(4)-MW,
  author =              {Muscholl, Anca and Walukiewicz, Igor},
  title =               {An {NP}-complete Fragment of~{LTL}},
  journal =             {International Journal of Foundations of Computer
                         Science},
  volume =              {16},
  number =              {4},
  pages =               {743-753},
  year =                {2005},
  month =               aug,
}
[MW10] Nicolas Markey et Jef Wijsen (eds.) Proceedings of the 17th International Symposium on Temporal Representation and Reasoning (TIME'10). IEEE Comp. Soc. Press, septembre 2010.
@proceedings{time2010-MW,
  title =               {{P}roceedings of the 17th {I}nternational
                         {S}ymposium on {T}emporal {R}epresentation and
                         {R}easoning ({TIME}'10)},
  editor =              {Markey, Nicolas and Wijsen, Jef},
  booktitle =           {{P}roceedings of the 17th {I}nternational
                         {S}ymposium on {T}emporal {R}epresentation and
                         {R}easoning ({TIME}'10)},
  acronym =             {{TIME}'10},
  publisher =           {IEEE Comp. Soc. Press},
  year =                {2010},
  month =               sep,
  doi =                 {10.1109/TIME.2010.4},
  url =                 {http://ieeexplore.ieee.org/xpl/ tocresult.jsp?
                         reload=true&isnumber=5601852},
}
N
[dN86] Rocco de Nicola. Extensional Equivalences for Transitions Systems. Acta Informatica 24(2):211-237. Springer-Verlag, 1986.
@article{acta24(2)-Den,
  author =              {de Nicola, Rocco},
  title =               {Extensional Equivalences for Transitions Systems},
  publisher =           {Springer-Verlag},
  journal =             {Acta Informatica},
  volume =              {24},
  number =              {2},
  pages =               {211-237},
  year =                {1986},
}
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  author =              {Nash, Jr., John F.},
  title =               {Equilibrium Points in {\(n\)}-Person Games},
  publisher =           {National Academy of Sciences of the United States of
                         America},
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}
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@article{am54(2)-Nash,
  author =              {Nash, Jr., John F.},
  title =               {Non-cooperative Games},
  publisher =           {Princeton University Press},
  journal =             {Annals of Mathematics},
  volume =              {54},
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[NB07] Sriram Narasimhan et Gautam Biswas. Model-Based Diagnosis of Hybrid Systems. IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans 37(3):348-361. IEEE, mai 2007.
@article{tsmcA37(3)-NB,
  author =              {Narasimhan, Sriram and Biswas, Gautam},
  title =               {Model-Based Diagnosis of Hybrid Systems},
  publisher =           {IEEE},
  journal =             {IEEE Transactions on Systems, Man, and
                         Cybernetics~-- Part~A: Systems and Humans},
  volume =              {37},
  number =              {3},
  pages =               {348-361},
  year =                {2007},
  month =               may,
  doi =                 {10.1109/TSMCA.2007.893487},
}
[dNH84] Rocco de Nicola et Matthew C. B. Hennessy. Testing Equivalence for Processes. Theoretical Computer Science 34:83-133. Elsevier, 1984.
@article{tcs34()-DH,
  author =              {de Nicola, Rocco and Hennessy, Matthew C. B.},
  title =               {Testing Equivalence for Processes},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
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}
[Nic08] Dejan Nickovic. Checking Timed and Hybrid Properties: Theory and Applications. PhD thesis, Lab. VERIMAG, Grenoble, France, Octobre 2008.
@phdthesis{phd-nickovic,
  author =              {Nickovic, Dejan},
  title =               {Checking Timed and Hybrid Properties: Theory and
                         Applications},
  year =                {2008},
  month =               oct,
  school =              {Lab. VERIMAG, Grenoble, France},
}
[Nic19] Cyril Nicaud. The Černý conjecture holds with high probability. Journal of Automata, Languages and Combinatorics 24(2-4):343-365. 2019.
@article{jalc24(2-4)-Nic,
  author =              {Nicaud, Cyril},
  title =               {The {{\v{C}}}ern{\'y} conjecture holds with high
                         probability},
  journal =             {Journal of Automata, Languages and Combinatorics},
  volume =              {24},
  number =              {2-4},
  pages =               {343-365},
  year =                {2019},
  doi =                 {10.25596/jalc-2019-343},
}
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@incollection{lncs2500-niessner,
  author =              {Nie{\ss}ner, Frank},
  title =               {Non-deterministic tree automata},
  editor =              {Gr{\"a}del, Erich and Thomas, Wolfgang and Wilke,
                         Thomas},
  booktitle =           {Automata, Logics, and Infinite Games},
  publisher =           {Springer-Verlag},
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  chapter =             {8},
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}
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@article{cc4()-Nis,
  author =              {Nisan, Noam},
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}
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                         finite-state systems},
  publisher =           {Elsevier},
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[Niw02] Damian Niwiński. μ-calculus via Games. In CSL'02, Lecture Notes in Computer Science 2471, pages 27-43. Springer-Verlag, septembre 2002.
@inproceedings{csl2002-Niw,
  author =              {Niwi{\'n}ski, Damian},
  title =               {{\(\mu\)}-calculus via Games},
  booktitle =           {{P}roceedings of the 16th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'02)},
  acronym =             {{CSL}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2471},
  pages =               {27-43},
  year =                {2002},
  month =               sep,
}
[NJM+22] Reiya Noguchi, Thierry Jéron, Nicolas Markey et Ocan Sankur. Method and system for testing the operation of a target computer system by using timed requirements. Brevet EP 3 907 615 B1, novembre 2022,
@patent{EP3907615B1,
  author =              {Noguchi, Reiya and J{\'e}ron, Thierry and Markey,
                         Nicolas and Sankur, Ocan},
  title =               {Method and system for testing the operation of a
                         target computer system by using timed requirements},
  number =              {EP 3 907 615 B1},
  year =                {2022},
  month =               nov,
}
[NJM+23] Reiya Noguchi, Thierry Jéron, Nicolas Markey et Ocan Sankur. Method and system for correcting the operation of a target computer system by using timed requirements. Brevet EP 4 064 057 B1, juillet 2023,
@patent{EP4064057B1,
  author =              {Noguchi, Reiya and J{\'e}ron, Thierry and Markey,
                         Nicolas and Sankur, Ocan},
  title =               {Method and system for correcting the operation of a
                         target computer system by using timed requirements},
  number =              {EP 4 064 057 B1},
  year =                {2023},
  month =               jul,
}
[NOK10] Takeshi Nagaoka, Kozo Okano et Shinji Kusumoto. An abstraction refinement technique for timed automata based on counterexample-guided abstraction refinement loop. IEICE Transactions on Information and Systems 5(5):994-1005. Institute of Electronics, Information and Communication Engineers, mai 2010.
@article{IEICEtransinfE93D(5)-NOK,
  author =              {Nagaoka, Takeshi and Okano, Kozo and Kusumoto,
                         Shinji},
  title =               {An abstraction refinement technique for timed
                         automata based on counterexample-guided abstraction
                         refinement loop},
  publisher =           {Institute of Electronics, Information and
                         Communication Engineers},
  journal =             {IEICE Transactions on Information and Systems},
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}
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  author =              {Nicollin, Xavier and Olivero, Alfredo and Sifakis,
                         Joseph and Yovine, Sergio},
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                         Hybrid Systems},
  editor =              {Grossman, Robert L. and Nerode, Anil and Ravn,
                         Anders P. and Rischel, Hans},
  booktitle =           {{H}ybrid {S}ystems ({HSCC}'92)},
  acronym =             {{HSCC}'92},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {736},
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}
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@book{agt2007-NRTV,
  title =               {Algorithmic Game Theory},
  editor =              {Nisan, Noam and Roughgarden, Tim and Tardos, {\'E}va
                         and Vazirani, Vijay V.},
  booktitle =           {Algorithmic Game Theory},
  publisher =           {Cambridge University Press},
  year =                {2007},
}
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  author =              {Nivat, Maurice and Saoudi, Ahmed},
  title =               {Automata on Infinite Objects and Their Applications
                         to Logic and Programming},
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Résumé

We consider the problem of repairing inconsistent real-time requirements with respect to two consistency notions: non-vacuity, which means that each requirement can be realized without violating other ones, and rt-consistency, which means that inevitable violations are detected immediately. We provide an iterative algorithm, based on solving SMT queries, to replace designated parameters of real-time requirements with new Boolean expressions and time constraints, so that the resulting set of requirements becomes consistent.

@inproceedings{atva2022-NSJMM,
  author =              {Noguchi, Reiya and Sankur, Ocan and J{\'e}ron,
                         Thierry and Markey, Nicolas and Mentr{\'e}, David},
  title =               {Repairing Real-Time Requirements},
  editor =              {Bouajjani, Ahmed and Hol{\'\i}k, Luk{\'a}{\v s} and
                         Wu, Zhilin},
  booktitle =           {{P}roceedings of the 20th {I}nternational
                         {S}ymposium on {A}utomated {T}echnology for
                         {V}erification and {A}nalysis ({ATVA}'22)},
  acronym =             {{ATVA}'22},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {13505},
  pages =               {371-387},
  year =                {2022},
  month =               oct,
  doi =                 {10.1007/978-3-031-19992-9_24},
  abstract =            {We~consider the problem of repairing inconsistent
                         real-time requirements with respect to two
                         consistency notions: non-vacuity, which means that
                         each requirement can be realized without violating
                         other ones, and rt-consistency, which means that
                         inevitable violations are detected immediately.
                         We~provide an iterative algorithm, based on solving
                         SMT queries, to replace designated parameters of
                         real-time requirements with new Boolean expressions
                         and time constraints, so that the resulting set of
                         requirements becomes consistent.},
}
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                         Systems},
  editor =              {Giannakopoulou, Dimitra and M{\'e}ry, Dominique},
  booktitle =           {{P}roceedings of the 18th {I}nternational
                         {S}ymposium on {F}ormal {M}ethods ({FM}'12)},
  acronym =             {{FM}'12},
  publisher =           {Springer-Verlag},
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}
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                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'09)},
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  publisher =           {Springer-Verlag},
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                         on {E}xpressiveness in {C}oncurrency ({EXPRESS}'02)},
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                         Decidability for Timed Automata},
  booktitle =           {{P}roceedings of the 18th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'03)},
  acronym =             {{LICS}'03},
  publisher =           {IEEE Comp. Soc. Press},
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  year =                {2003},
  month =               jun,
}
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                         Automata: {C}losing a Decidability Gap},
  booktitle =           {{P}roceedings of the 19th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'04)},
  acronym =             {{LICS}'04},
  publisher =           {IEEE Comp. Soc. Press},
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  year =                {2004},
  month =               jul,
}
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  booktitle =           {{P}roceedings of the 20th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'05)},
  acronym =             {{LICS}'05},
  publisher =           {IEEE Comp. Soc. Press},
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  year =                {2005},
  month =               jul,
}
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                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'06)},
  acronym =             {{TACAS}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3920},
  pages =               {411-425},
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  month =               mar,
}
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                         Machines},
  editor =              {Aceto, Luca and Ing{\'o}lfsd{\'o}ttir, Anna},
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                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'06)},
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  author =              {Ouaknine, Jo{\"e}l and Worrell, James},
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                         Temporal Logic over Finite Words},
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  volume =              {3},
  number =              {1},
  year =                {2007},
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}
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  editor =              {Abramsky, Samson and Gavoille, Cyril and Kirchner,
                         Claude and Meyer auf der Heide, Friedhelm and
                         Spirakis, Paul G.},
  booktitle =           {{P}roceedings of the 37th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'10)~-- Part~{II}},
  acronym =             {{ICALP}'10},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6199},
  pages =               {22-37},
  year =                {2010},
  month =               jul,
}
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}
[PBD+02] Anindya C. Patthak, Indrajit Bhattacharya, Anirban Dasgupta, Pallab Dasgupta et P. P. Chakrabarti. Quantified Computation Tree Logic. Information Processing Letters 82(3):123-129. Elsevier, 2002.
@article{ipl82(3)-PBDDC,
  author =              {Patthak, Anindya C. and Bhattacharya, Indrajit and
                         Dasgupta, Anirban and Dasgupta, Pallab and
                         Chakrabarti, P. P.},
  title =               {Quantified Computation Tree Logic},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {82},
  number =              {3},
  pages =               {123-129},
  year =                {2002},
}
[Pel98] Doron A. Peled. Ten years of partial-order reduction. In CAV'98, Lecture Notes in Computer Science 1427, pages 17-28. Springer-Verlag, juin 1998.
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  author =              {Peled, Doron A.},
  title =               {Ten years of partial-order reduction},
  editor =              {Hu, Alan J. and Vardi, Moshe Y.},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'98)},
  acronym =             {{CAV}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1427},
  pages =               {17-28},
  year =                {1998},
  month =               jun,
  doi =                 {10.1007/BFb0028727},
}
[Pet62] Carl Adam Petri. Kommunikation mit Automaten. PhD thesis, Darmstadt University of Technology, Germany, 1962.
@phdthesis{phd-petri,
  author =              {Petri, Carl Adam},
  title =               {Kommunikation mit Automaten},
  year =                {1962},
  school =              {Darmstadt University of Technology, Germany},
}
[Pet02] Holger Petersen. Expressions with Intersection Is Complete in LOGCFL. In STACS'02, Lecture Notes in Computer Science 2285, pages 513-522. Springer-Verlag, mars 2002.
@inproceedings{stacs2002-Pet,
  author =              {Petersen, Holger},
  title =               {Expressions with Intersection Is Complete in
                         {LOGCFL}},
  editor =              {Alt, Helmut and Ferreira, Afonso},
  booktitle =           {{P}roceedings of the 19th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'02)},
  acronym =             {{STACS}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2285},
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}
[PHP11] Amalinda Post, Jochen Hoenicke et Andreas Podelski. RT-Inconsistency: A New Property for Real-Time Requirements. In FASE'11, Lecture Notes in Computer Science 6603, pages 34-49. Springer-Verlag, mars 2011.
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  author =              {Post, Amalinda and Hoenicke, Jochen and Podelski,
                         Andreas},
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                         Requirements},
  editor =              {Giannakopoulou, Dimitra and Orejas, Fernando},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {C}onference on {F}undamental {A}pproaches to
                         {S}oftware {E}ngineering ({FASE}'11)},
  acronym =             {{FASE}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6603},
  pages =               {34-49},
  year =                {2011},
  month =               mar,
  doi =                 {978-3-642-19811-3_4},
}
[PI97] Sushant Patnaik et Neil Immerman. Dyn-FO: A Parallel, Dynamic Complexity Class. Journal of Computer and System Sciences 55(2):199-209. Academic Press, octobre 1997.
@article{jcss55(2)-PI,
  author =              {Patnaik, Sushant and Immerman, Neil},
  title =               {Dyn-{FO}: A~Parallel, Dynamic Complexity Class},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
  volume =              {55},
  number =              {2},
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}
[Pig20] Arthur C. Pigou. The economics of welfare. MacMillan and Co., 1920.
@book{Pigou1920,
  author =              {Pigou, Arthur C.},
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  year =                {1920},
}
[Pin83] Jean-Éric Pin. On two combinatorial problems arising from automata theory. In ICGTC'81, North-Holland Mathematics Studies 75, pages 535-548. Elsevier, 1983.
@inproceedings{icgtc1981-Pin,
  author =              {Pin, Jean-{\'E}ric},
  title =               {On two combinatorial problems arising from automata
                         theory},
  booktitle =           {{P}roceedings of the {I}nternational {C}olloquium on
                         {G}raph {T}heory and {C}ombinatorics ({ICGTC}'81)},
  acronym =             {{ICGTC}'81},
  publisher =           {Elsevier},
  series =              {North-Holland Mathematics Studies},
  volume =              {75},
  pages =               {535-548},
  year =                {1983},
  confyear =            {1981},
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  doi =                 {10.1016/S0304-0208(08)73432-7},
}
[Pin96] Jean-Éric Pin. Logic, Semigroups and Automata on Words. Annals of Mathematics and Artificial Intelligence 16:343-384. Kluwer Academic, 1996.
@article{amai16()-Pin,
  author =              {Pin, Jean-{\'E}ric},
  title =               {Logic, Semigroups and Automata on Words},
  publisher =           {Kluwer Academic},
  journal =             {Annals of Mathematics and Artificial Intelligence},
  volume =              {16},
  pages =               {343-384},
  year =                {1996},
}
[Pin01] Jean-Éric Pin. Logic on Words. In Gheorghe Păun, Grzegorz Rozenberg et Arto Salomaa (eds.), Current Trends in Theoretical Computer Science: Entering the 21th Century. World Scientific, 2001.
@incollection{CTTCS2001-Pin,
  author =              {Pin, Jean-{\'E}ric},
  title =               {Logic on Words},
  editor =              {P{\u a}un, Gheorghe and Rozenberg, Grzegorz and
                         Salomaa, Arto},
  booktitle =           {Current Trends in Theoretical Computer Science:
                         Entering the 21th Century},
  publisher =           {World Scientific},
  pages =               {254-273},
  year =                {2001},
}
[Pin07] Sophie Pinchinat. A Generic constructive Solution for Concurrent Games with Expressive Constraints on Strategies. In ATVA'07, Lecture Notes in Computer Science 4762, pages 253-267. Springer-Verlag, octobre 2007.
@inproceedings{atva2007-Pin,
  author =              {Pinchinat, Sophie},
  title =               {A Generic constructive Solution for Concurrent Games
                         with Expressive Constraints on Strategies},
  editor =              {Namjoshi, Kedar and Yoneda, Tomohiro and Higashino,
                         Teruo and Okamura, Yoshio},
  booktitle =           {{P}roceedings of the 5th {I}nternational {S}ymposium
                         on {A}utomated {T}echnology for {V}erification and
                         {A}nalysis ({ATVA}'07)},
  acronym =             {{ATVA}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4762},
  pages =               {253-267},
  year =                {2007},
  month =               oct,
}
[Pin07] Sophie Pinchinat. Quantified Mu-Calculus with Decision Modalities for Concurrent Game Structures. Technical Report TR-CS-07-02, The Australian National University, Australia, janvier 2007.
@techreport{TRCS0702-Pin,
  author =              {Pinchinat, Sophie},
  title =               {Quantified Mu-Calculus with Decision Modalities for
                         Concurrent Game Structures},
  number =              {TR-CS-07-02},
  year =                {2007},
  month =               jan,
  institution =         {The Australian National University, Australia},
}
[Pin21] Jean-Éric Pin. Handbook of automata theory. EMS Press, 2021.
@book{hat-pin-1,
  title =               {Handbook of automata theory},
  editor =              {Pin, Jean-{\'E}ric},
  booktitle =           {Handbook of automata theory},
  publisher =           {EMS~Press},
  volume =              {1},
  year =                {2021},
  doi =                 {10.4171/AUTOMATA-1},
}
[PK02] Amir Pnueli et Yonit Kesten. A Deductive Proof System for CTL. In CONCUR'02, Lecture Notes in Computer Science 2421, pages 24-40. Springer-Verlag, août 2002.
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  editor =              {Brim, Lubo{\v s} and Jan{\v c}ar, Petr and K{\v
                         r}et{\'\i}nsk{\'y}, Mojm{\'\i}r and Ku{\v c}era,
                         Anton{\'\i}n},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'02)},
  acronym =             {{CONCUR}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2421},
  pages =               {24-40},
  year =                {2002},
  month =               aug,
}
[Pnu77] Amir Pnueli. The Temporal Logic of Programs. In FOCS'77, pages 46-57. IEEE Comp. Soc. Press, octobre 1977.
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  author =              {Pnueli, Amir},
  title =               {The Temporal Logic of Programs},
  booktitle =           {{P}roceedings of the 18th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'77)},
  acronym =             {{FOCS}'77},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {46-57},
  year =                {1977},
  month =               oct,
  doi =                 {10.1109/SFCS.1977.32},
}
[Pnu81] Amir Pnueli. The Temporal Semantics of Concurrent Programs. Theoretical Computer Science 13:45-60. Elsevier, 1981.
@article{tcs13()-Pnu,
  author =              {Pnueli, Amir},
  title =               {The Temporal Semantics of Concurrent Programs},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {13},
  pages =               {45-60},
  year =                {1981},
}
[PP95] Dominique Perrin et Jean-Éric Pin. Semigroups and Automata on Infinite Words. In John B. Fountain et Victoria Gould (eds.), NATO Advanced Study Institute: Semigroups, Formal Languages and Groups. Kluwer Academic, 1995.
@incollection{SFLG1995-PP,
  author =              {Perrin, Dominique and Pin, Jean-{\'E}ric},
  title =               {Semigroups and Automata on Infinite Words},
  editor =              {Fountain, John B. and Gould, Victoria},
  booktitle =           {{NATO} Advanced Study Institute: Semigroups, Formal
                         Languages and Groups},
  publisher =           {Kluwer Academic},
  pages =               {49-72},
  year =                {1995},
}
[PPQ05] Davide Prandi, Corrado Priami et Paola Quaglia. Process Calculi in a Biological Context. EATCS Bulletin 85:53-69. EATCS, février 2005.
@article{eatcs-bull85()-PPQ,
  author =              {Prandi, Davide and Priami, Corrado and Quaglia,
                         Paola},
  title =               {Process Calculi in a Biological Context},
  publisher =           {EATCS},
  journal =             {EATCS Bulletin},
  volume =              {85},
  pages =               {53-69},
  year =                {2005},
  month =               feb,
}
[PPT09] Michal Penn, Maria Polukarov et Moshe Tennenholtz. Random Order Congestion Games. Mathematics of Operations Research 34(3):706-725. Informs, août 2009.
@article{moor34(3)-PPT,
  author =              {Penn, Michal and Polukarov, Maria and Tennenholtz,
                         Moshe},
  title =               {Random Order Congestion Games},
  publisher =           {Informs},
  journal =             {Mathematics of Operations Research},
  volume =              {34},
  number =              {3},
  pages =               {706-725},
  year =                {2009},
  month =               aug,
  doi =                 {10.1287/moor.1090.0394},
}
[PPT+16] Srinivas Pinisetty, Viorel Preoteasa, Stavros Tripakis, Thierry Jéron, Yliès Falcone et Hervé Marchand. Predictive Runtime Enforcement. In SAC'16, pages 1628-1633. ACM Press, avril 2016.
@inproceedings{sac2016-PPTJFM,
  author =              {Pinisetty, Srinivas and Preoteasa, Viorel and
                         Tripakis, Stavros and J{\'e}ron, Thierry and
                         Falcone, Yli{\`e}s and Marchand, Herv{\'e}},
  title =               {Predictive Runtime Enforcement},
  editor =              {Ossowski, Sascha},
  booktitle =           {{P}roceedings of the 31st {A}nnual {ACM} {S}ymposium
                         on {A}pplied {C}omputing ({SAC}'16)},
  acronym =             {{SAC}'16},
  publisher =           {ACM Press},
  pages =               {1628-1633},
  year =                {2016},
  month =               apr,
  doi =                 {10.1145/2851613.2851827},
}
[PR89] Amir Pnueli et Roni Rosner. On the Synthesis of a Reactive Module. In POPL'89, pages 179-190. ACM Press, janvier 1989.
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  author =              {Pnueli, Amir and Rosner, Roni},
  title =               {On the Synthesis of a Reactive Module},
  booktitle =           {Conference Record of the 16th {ACM} {S}ymposium on
                         {P}rinciples of {P}rogramming {L}anguages
                         ({POPL}'89)},
  acronym =             {{POPL}'89},
  publisher =           {ACM Press},
  pages =               {179-190},
  year =                {1989},
  month =               jan,
}
[PR89] Amir Pnueli et Roni Rosner. On the Synthesis of an Asynchronous Reactive Module. In ICALP'89, Lecture Notes in Computer Science 372, pages 652-671. Springer-Verlag, juillet 1989.
@inproceedings{icalp1989-PR,
  author =              {Pnueli, Amir and Rosner, Roni},
  title =               {On the Synthesis of an Asynchronous Reactive Module},
  editor =              {Ausiello, Giorgio and Dezani{-}Ciancaglini,
                         Mariangiola and Ronchi{ }Della{~}Rocca, Simona},
  booktitle =           {{P}roceedings of the 16th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'89)},
  acronym =             {{ICALP}'89},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {372},
  pages =               {652-671},
  year =                {1989},
  month =               jul,
}
[PR90] Amir Pnueli et Roni Rosner. Distributed Reactive Systems Are Hard to Synthesize. In FOCS'90, pages 746-757. IEEE Comp. Soc. Press, octobre 1990.
@inproceedings{focs1990-PR,
  author =              {Pnueli, Amir and Rosner, Roni},
  title =               {Distributed Reactive Systems Are Hard to Synthesize},
  booktitle =           {{P}roceedings of the 31st {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'90)},
  acronym =             {{FOCS}'90},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {746-757},
  year =                {1990},
  month =               oct,
}
[PR99] Wojciech Plandowski et Wojciech Rytter. Complexity of Language Recognition Problems for Compressed Words. In Juhani Karhumäki, Hermann Maurer, Gheorghe Păun et Grzegorz Rozenberg (eds.), Jewels are Forever – Contributions on Theoretical Computer Science in Honor of Arto Salomaa. Springer-Verlag, 1999.
@incollection{jaf1999-PR,
  author =              {Plandowski, Wojciech and Rytter, Wojciech},
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                         Compressed Words},
  editor =              {Karhum{\"a}ki, Juhani and Maurer, Hermann and P{\u
                         a}un, Gheorghe and Rozenberg, Grzegorz},
  booktitle =           {Jewels are Forever~-- Contributions on Theoretical
                         Computer Science in Honor of {A}rto {S}alomaa},
  publisher =           {Springer-Verlag},
  pages =               {262-272},
  year =                {1999},
}
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@inproceedings{fossacs2024-Pra,
  author =              {Prakash, Aditya},
  title =               {Checking History-Determinism is {NP}-hard for Parity
                         Automata},
  editor =              {Kobayashi, Naoki and Worrell, James},
  booktitle =           {{P}roceedings of the 27th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'24)},
  acronym =             {{FoSSaCS}'24},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {14574},
  pages =               {212-233},
  year =                {2024},
  month =               apr,
  doi =                 {10.1007/978-3-031-57228-9_11},
}
[Pri57] Arthur N. Prior. Time and Modality. Oxford University Press, 1957.
@book{Prior-1957,
  author =              {Prior, Arthur N.},
  title =               {Time and Modality},
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  year =                {1957},
}
[Pri67] Arthur N. Prior. Past, Present and Future. Oxford University Press, 1967.
@book{Prior-1967,
  author =              {Prior, Arthur N.},
  title =               {Past, Present and Future},
  publisher =           {Oxford University Press},
  year =                {1967},
}
[Pri68] Arthur N. Prior. Papers on Time and Tense. Oxford University Press, 1968.
@book{Prior-1968,
  author =              {Prior, Arthur N.},
  title =               {Papers on Time and Tense},
  publisher =           {Oxford University Press},
  year =                {1968},
}
[PS05] Radek Pelánek et Jan Strejček. Deeper Connections Between LTL and Alternating Automata.. In CIAA'05, Lecture Notes in Computer Science 3845, pages 238-249. Springer-Verlag, juin 2005.
@inproceedings{ciaa2005-PS,
  author =              {Pel{\'a}nek, Radek and Strej{\v c}ek, Jan},
  title =               {Deeper Connections Between {LTL} and Alternating
                         Automata.},
  editor =              {Farr{\'e}, Jacques and Litovsky, Igor and Schmitz,
                         Sylvain},
  booktitle =           {{R}evised {S}elected {P}apers of the 10th
                         {I}nternational {C}onference on Implementation and
                         Application of Automata ({CIAA}'05)},
  acronym =             {{CIAA}'05},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3845},
  pages =               {238-249},
  year =                {2005},
  month =               jun,
}
[PS10] Soumya Paul et Sunil Simon. Nash Equilibrium in Generalised Muller Games. In FSTTCS'09, Leibniz International Proceedings in Informatics 4, pages 335-346. Leibniz-Zentrum für Informatik, décembre 2010.
@inproceedings{fsttcs2009-PS,
  author =              {Paul, Soumya and Simon, Sunil},
  title =               {{N}ash Equilibrium in Generalised {M}uller Games},
  editor =              {Kannan, Ravi and Narayan Kumar, K.},
  booktitle =           {{P}roceedings of the 29th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'09)},
  acronym =             {{FSTTCS}'09},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {4},
  pages =               {335-346},
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}
[PS11] Paritosh K. Pandya et Simoni S. Shah. On Expressive Powers of Timed Logics: Comparing Boundedness, Non-punctuality, and Deterministic Freezing. In CONCUR'11, Lecture Notes in Computer Science 6901, pages 60-75. Springer-Verlag, septembre 2011.
@inproceedings{concur2011-PS,
  author =              {Pandya, Paritosh K. and Shah, Simoni S.},
  title =               {On Expressive Powers of Timed Logics: Comparing
                         Boundedness, Non-punctuality, and Deterministic
                         Freezing},
  editor =              {Katoen, Joost-Pieter and K{\"o}nig, Barbara},
  booktitle =           {{P}roceedings of the 22nd {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'11)},
  acronym =             {{CONCUR}'11},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {6901},
  pages =               {60-75},
  year =                {2011},
  month =               sep,
  doi =                 {10.1007/978-3-642-23217-6_5},
}
[PS16] Nicolas Perrin et Philipp Schlehuber-Caissier. Fast diffeomorphic matching to learn globally asymptotically stable nonlinear dynamical systems. Systems & Control Letters 96:51-59. Elsevier, octobre 2016.
@article{scl96()-PS,
  author =              {Perrin, Nicolas and Schlehuber{-}Caissier, Philipp},
  title =               {Fast diffeomorphic matching to learn globally
                         asymptotically stable nonlinear dynamical systems},
  publisher =           {Elsevier},
  journal =             {Systems~\& Control Letters},
  volume =              {96},
  pages =               {51-59},
  year =                {2016},
  month =               oct,
  doi =                 {10.1016/j.sysconle.2016.06.018},
}
[PSS+03] Matteo Pradella, Pierluigi San Pietro, Paola Spoletini et Angelo Morzenti. Practical Model Checking of LTL with Past. In ATVA'03. Décembre 2003.
@inproceedings{atva2003-PSSM,
  author =              {Pradella, Matteo and San{~}Pietro, Pierluigi and
                         Spoletini, Paola and Morzenti, Angelo},
  title =               {Practical Model Checking of {LTL} with Past},
  booktitle =           {{P}roceedings of the 1st {I}nternational {W}orkshop
                         on {A}utomated {T}echnology for {V}erification and
                         {A}nalysis ({ATVA}'03)},
  acronym =             {{ATVA}'03},
  year =                {2003},
  month =               dec,
}
[PST12] Renato Paes Leme, Vasilis Syrgkanis et Éva Tardos. The curse of simultaneity. In ITCS'12, pages 60-67. ACM Press, janvier 2012.
@inproceedings{itcs2012-PST,
  author =              {Paes{ }Leme, Renato and Syrgkanis, Vasilis and
                         Tardos, {\'E}va},
  title =               {The curse of simultaneity},
  editor =              {Goldwasser, Shafi},
  booktitle =           {{P}roceedings of the 3rd {C}onference on
                         {I}nnovations in {T}heoretical {C}omputer {S}cience
                         ({ITCS}'12)},
  acronym =             {{ITCS}'12},
  publisher =           {ACM Press},
  pages =               {60-67},
  year =                {2012},
  month =               jan,
  doi =                 {10.1145/2090236.2090242},
}
[Pur98] Anuj Puri. Dynamical Properties of Timed Automata. In FTRTFT'98, Lecture Notes in Computer Science 1486, pages 210-227. Springer-Verlag, septembre 1998.
@inproceedings{ftrtft1998-Pur,
  author =              {Puri, Anuj},
  title =               {Dynamical Properties of Timed Automata},
  editor =              {Ravn, Anders P. and Rischel, Hans},
  booktitle =           {{P}roceedings of the 5th {F}ormal {T}echniques in
                         {R}eal-Time and {F}ault-Tolerant {S}ystems
                         ({FTRTFT}'98)},
  acronym =             {{FTRTFT}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1486},
  pages =               {210-227},
  year =                {1998},
  month =               sep,
}
[Pur99] Anuj Puri. An Undecidable Problem for Timed Automata. Discrete Event Dynamic Systems 9(2):135-146. Kluwer Academic, mai 1999.
@article{deds9(2)-Pur,
  author =              {Puri, Anuj},
  title =               {An Undecidable Problem for Timed Automata},
  publisher =           {Kluwer Academic},
  journal =             {Discrete Event Dynamic Systems},
  volume =              {9},
  number =              {2},
  pages =               {135-146},
  year =                {1999},
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}
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  publisher =           {Academic Press},
  journal =             {Information and Computation},
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  month =               aug,
}
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  title =               {V{\'e}rification de syst{\`e}mes temporis{\'e}s et
                         distribu{\'e}s~: mod{\`e}les, algorithmes et
                         impl{\'e}mentabilit{\'e}},
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  month =               jun,
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                         France},
}
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  journal =             {Annals of Pure and Applied Logic},
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}
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Résumé

We present abstraction-refinement algorithms for model checking safety properties of timed automata. The abstraction domain we consider abstracts away zones by restricting the set of clock constraints that can be used to define them, while the refinement procedure computes the set of constraints that must be taken into consideration in the abstraction so as to exclude a given spurious counterexample. We implement this idea in two ways: an enumerative algorithm where a lazy abstraction approach is adopted, meaning that possibly different abstract domains are assigned to each exploration node; and a symbolic algorithm where the abstract transition system is encoded with Boolean formulas.

@inproceedings{cav2019-RSM,
  author =              {Roussanaly, Victor and Sankur, Ocan and Markey,
                         Nicolas},
  title =               {Abstraction Refinement Algorithms for Timed
                         Automata},
  editor =              {Dillig, I{\c s}il and Ta{\c s}iran, Serdar},
  booktitle =           {{P}roceedings of the 31st {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'19)},
  acronym =             {{CAV}'19},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {11561},
  pages =               {22-40},
  year =                {2019},
  month =               jul,
  doi =                 {10.1007/978-3-030-25540-4_2},
  abstract =            {We~present abstraction-refinement algorithms for
                         model checking safety properties of timed automata.
                         The~abstraction domain we consider abstracts away
                         zones by restricting the set of clock constraints
                         that can be used to define them, while the
                         refinement procedure computes the set of constraints
                         that must be taken into consideration in the
                         abstraction so as to exclude a given spurious
                         counterexample. We~implement this idea in two~ways:
                         an~enumerative algorithm where a lazy abstraction
                         approach is adopted, meaning that possibly different
                         abstract domains are assigned to each exploration
                         node; and a symbolic algorithm where the abstract
                         transition system is encoded with Boolean formulas.},
}
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  institution =         {LORIA, Nancy, France},
  type =                {Research Report},
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  acronym =             {{VerAS}'07},
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                         of {R}eactive {S}ystems ({MBTRS}'04)},
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  author =              {Sankur, Ocan},
  title =               {Model-checking robuste des automates temporis{\'e}s
                         via les machines {\`a} canaux},
  year =                {2010},
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {M\'emoire de master},
}
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@phdthesis{phd-sankur,
  author =              {Sankur, Ocan},
  title =               {Robustness in Timed Automata: Analysis, Synthesis,
                         Implementation},
  year =                {2013},
  month =               may,
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {Th\`ese de doctorat},
}
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                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'15)},
  acronym =             {{TACAS}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9035},
  pages =               {484-498},
  year =                {2015},
  month =               apr,
  doi =                 {10.1007/978-3-662-46681-0_48},
}
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                         ({CONCUR}'03)},
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                         ({CAV}'00)},
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  editor =              {Hunt, Jr, Warren A. and Somenzi, Fabio},
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                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'03)},
  acronym =             {{CAV}'03},
  publisher =           {Springer-Verlag},
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  volume =              {2725},
  pages =               {154-166},
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                         {C}onference on {F}ormal {M}ethods in
                         {C}omputer-{A}ided {D}esign ({FMCAD}'11)},
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[SBM11] Ocan Sankur, Patricia Bouyer et Nicolas Markey. Shrinking Timed Automata. In FSTTCS'11, Leibniz International Proceedings in Informatics 13, pages 90-102. Leibniz-Zentrum für Informatik, décembre 2011.
Résumé

We define and study a new approach to the implementability of timed automata, where the semantics is perturbed by imprecisions and finite frequency of the hardware. In order to circumvent these effects, we introduce parametric shrinking of clock constraints, which corresponds to tightening the guards. We propose symbolic procedures to decide the existence of (and then compute) parameters under which the shrunk version of a given timed automaton is non-blocking and can time-abstract simulate the exact semantics. We then define an implementation semantics for timed automata with a digital clock and positive reaction times, and show that for shrinkable timed automata both properties are preserved in implementation.

@inproceedings{fsttcs2011-SBM,
  author =              {Sankur, Ocan and Bouyer, Patricia and Markey,
                         Nicolas},
  title =               {Shrinking Timed Automata},
  editor =              {Chakraborty, Supratik and Kumar, Amit},
  booktitle =           {{P}roceedings of the 31st {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'11)},
  acronym =             {{FSTTCS}'11},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {13},
  pages =               {90-102},
  year =                {2011},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2011.90},
  abstract =            {We define and study a new approach to the
                         implementability of timed automata, where the
                         semantics is perturbed by imprecisions and finite
                         frequency of the hardware. In order to circumvent
                         these effects, we introduce \emph{parametric
                         shrinking} of clock constraints, which corresponds
                         to tightening the guards. We propose symbolic
                         procedures to decide the existence of (and then
                         compute) parameters under which the shrunk version
                         of a given timed automaton is non-blocking and can
                         time-abstract simulate the exact semantics. We then
                         define an implementation semantics for timed
                         automata with a digital clock and positive reaction
                         times, and show that for shrinkable timed automata
                         both properties are preserved in implementation.},
}
[SBM14] Ocan Sankur, Patricia Bouyer et Nicolas Markey. Shrinking Timed Automata. Information and Computation 234:107-132. Elsevier, février 2014.
Résumé

We define and study a new approach to the implementability of timed automata, where the semantics is perturbed by imprecisions and finite frequency of the hardware. In order to circumvent these effects, we introduce parametric shrinking of clock constraints, which corresponds to tightening the guards. We propose symbolic procedures to decide the existence of (and then compute) parameters under which the shrunk version of a given timed automaton is non-blocking and can time-abstract simulate the exact semantics. We then define an implementation semantics for timed automata with a digital clock and positive reaction times, and show that for shrinkable timed automata, non-blockingness and time-abstract simulation are preserved in implementation.

@article{icomp234()-SBM,
  author =              {Sankur, Ocan and Bouyer, Patricia and Markey,
                         Nicolas},
  title =               {Shrinking Timed Automata},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {234},
  pages =               {107-132},
  year =                {2014},
  month =               feb,
  doi =                 {10.1016/j.ic.2014.01.002},
  abstract =            {We define and study a new approach to the
                         implementability of timed automata, where the
                         semantics is perturbed by imprecisions and finite
                         frequency of the hardware. In order to circumvent
                         these effects, we introduce \emph{parametric
                         shrinking} of clock constraints, which corresponds
                         to tightening the guards. We propose symbolic
                         procedures to decide the existence of (and then
                         compute) parameters under which the shrunk version
                         of a given timed automaton is non-blocking and can
                         time-abstract simulate the exact semantics. We then
                         define an implementation semantics for timed
                         automata with a digital clock and positive reaction
                         times, and show that for shrinkable timed automata,
                         non-blockingness and time-abstract simulation are
                         preserved in implementation.},
}
[SBM+13] Ocan Sankur, Patricia Bouyer, Nicolas Markey et Pierre-Alain Reynier. Robust Controller Synthesis in Timed Automata. In CONCUR'13, Lecture Notes in Computer Science 8052, pages 546-560. Springer-Verlag, août 2013.
Résumé

We consider the fundamental problem of Büchi acceptance in timed automata in a robust setting. The problem is formalised in terms of controller synthesis: timed automata are equipped with a parametrised game-based semantics that models the possible perturbations of the decisions taken by the controller. We characterise timed automata that are robustly controllable for some parameter, with a simple graph theoretic condition, by showing the equivalence with the existence of an aperiodic lasso that satisfies the winning condition (aperiodicity was defined and used earlier in different contexts to characterise convergence phenomena in timed automata). We then show decidability and PSPACE-completeness of our problem.

@inproceedings{concur2013-SBMR,
  author =              {Sankur, Ocan and Bouyer, Patricia and Markey,
                         Nicolas and Reynier, Pierre-Alain},
  title =               {Robust Controller Synthesis in Timed Automata},
  editor =              {D{'}Argenio, Pedro R. and Melgratt, Hern{\'a}n C.},
  booktitle =           {{P}roceedings of the 24th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'13)},
  acronym =             {{CONCUR}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8052},
  pages =               {546-560},
  year =                {2013},
  month =               aug,
  doi =                 {10.1007/978-3-642-40184-8_38},
  abstract =            {We consider the fundamental problem of B{\"u}chi
                         acceptance in timed automata in a robust setting.
                         The problem is formalised in terms of controller
                         synthesis: timed automata are equipped with a
                         parametrised game-based semantics that models the
                         possible perturbations of the decisions taken by the
                         controller. We characterise timed automata that are
                         robustly controllable for some parameter, with a
                         simple graph theoretic condition, by showing the
                         equivalence with the existence of an aperiodic lasso
                         that satisfies the winning condition (aperiodicity
                         was defined and used earlier in different contexts
                         to characterise convergence phenomena in timed
                         automata). We then show decidability and
                         PSPACE-completeness of our problem.},
}
[SC85] A. Prasad Sistla et Edmund M. Clarke. The Complexity of Propositional Linear Temporal Logics. Journal of the ACM 32(3):733-749. ACM Press, juillet 1985.
@article{jacm32(3)-SC,
  author =              {Sistla, A. Prasad and Clarke, Edmund M.},
  title =               {The Complexity of Propositional Linear Temporal
                         Logics},
  publisher =           {ACM Press},
  journal =             {Journal of the~ACM},
  volume =              {32},
  number =              {3},
  pages =               {733-749},
  year =                {1985},
  month =               jul,
  doi =                 {10.1145/3828.3837},
}
[SC02] Michael Soltys et Stephen A. Cook. The Proof Complexity of Linear Algebra. In LICS'02, pages 335-344. IEEE Comp. Soc. Press, juillet 2002.
@inproceedings{lics2002-SC,
  author =              {Soltys, Michael and Cook, Stephen A.},
  title =               {The Proof Complexity of Linear Algebra},
  booktitle =           {{P}roceedings of the 17th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'02)},
  acronym =             {{LICS}'02},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {335-344},
  year =                {2002},
  month =               jul,
}
[Sch61] Marcel-Paul Schützenberger. On the Definition of a Family of Automata. Information and Control 4(2-3):245-270. Academic Press, septembre 1961.
@article{icont4(2-3)-Sch,
  author =              {Sch{\"u}tzenberger, Marcel-Paul},
  title =               {On the Definition of a Family of Automata},
  publisher =           {Academic Press},
  journal =             {Information and Control},
  volume =              {4},
  number =              {2-3},
  pages =               {245-270},
  year =                {1961},
  month =               sep,
}
[Sch98] Stefan Schwendimann. A New One-Pass Tableau Calculus for PLTL. In TABLEAUX'98, Lecture Notes in Computer Science 1397, pages 277-292. Springer-Verlag, mai 1998.
@inproceedings{tableaux1998-Sch,
  author =              {Schwendimann, Stefan},
  title =               {A New One-Pass Tableau Calculus for {PLTL}},
  editor =              {de Swart, Harrie C. M.},
  booktitle =           {{P}roceedings of the 7th {I}nternational
                         {C}onference on {A}utomated {R}easoning with
                         {A}nalytic {T}ableaux and {R}elated {M}ethods
                         ({TABLEAUX}'98)},
  acronym =             {{TABLEAUX}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1397},
  pages =               {277-292},
  year =                {1998},
  month =               may,
}
[Sch01] Philippe Schnoebelen. Spécification et Vérification des Systèmes Concurrents. Mémoire d'habilitation, Lab. Spécification & Vérification, ENS Cachan, France, Octobre 2001.
@phdthesis{hab-schnoebelen,
  author =              {Schnoebelen, {\relax Ph}ilippe},
  title =               {Sp{\'e}cification et V{\'e}rification des
                         Syst{\`e}mes Concurrents},
  year =                {2001},
  month =               oct,
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {M\'emoire d'habilitation},
}
[Sch02] Philippe Schnoebelen. Verifying Lossy Channel Systems has Nonprimitive Recursive Complexity. Information Processing Letters 83(5):251-261. Elsevier, septembre 2002.
@article{ipl83(5)-Sch,
  author =              {Schnoebelen, {\relax Ph}ilippe},
  title =               {Verifying Lossy Channel Systems has Nonprimitive
                         Recursive Complexity},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {83},
  number =              {5},
  pages =               {251-261},
  year =                {2002},
  month =               sep,
}
[Sch03] Philippe Schnoebelen. The Complexity of Temporal Logic Model Checking. In AIML'02, pages 481-517. King's College Publications, 2003.
@inproceedings{aiml2002-Sch,
  author =              {Schnoebelen, {\relax Ph}ilippe},
  title =               {The Complexity of Temporal Logic Model Checking},
  editor =              {Balbiani, {\relax Ph}ilippe and Suzuki, Nobu-Yuki
                         and Wolter, Frank and Zakharyaschev, Michael},
  booktitle =           {{P}roceedings of the 4th {W}orkshop on {A}dvances in
                         {M}odal {L}ogic ({AIML}'02)},
  acronym =             {{AIML}'02},
  publisher =           {King's College Publications},
  pages =               {481-517},
  year =                {2003},
  confyear =            {2002},
  confmonth =           {9-10},
}
[Sch03] Philippe Schnoebelen. Oracle Circuits for Branching-Time Model Checking. In ICALP'03, Lecture Notes in Computer Science 2719, pages 790-801. Springer-Verlag, juin 2003.
@inproceedings{icalp2003-Sch,
  author =              {Schnoebelen, {\relax Ph}ilippe},
  title =               {Oracle Circuits for Branching-Time Model Checking},
  editor =              {Baeten, Jos C. M. and Lenstra, Jan Karel and Parrow,
                         Joachim and Woeginger, Gerhard J.},
  booktitle =           {{P}roceedings of the 30th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'03)},
  acronym =             {{ICALP}'03},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2719},
  pages =               {790-801},
  year =                {2003},
  month =               jun,
}
[Sch04] Pierre-Yves Schobbens. Alternating-Time Logic with Imperfect Recall. In LCMAS'03, Electronic Notes in Theoretical Computer Science 85(2), pages 82-93. Elsevier, avril 2004.
@inproceedings{lcmas2003-Sch,
  author =              {Schobbens, Pierre-Yves},
  title =               {Alternating-Time Logic with Imperfect Recall},
  editor =              {van der Hoek, Wiebe and Lomuscio, Alessio and de
                         Vink, Erik and Wooldridge, Michael},
  booktitle =           {{P}roceedings of the {W}orkshop on Logic and
                         Communication in Multi-Agent Systems ({LCMAS}'03)},
  acronym =             {{LCMAS}'03},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {85(2)},
  pages =               {82-93},
  year =                {2004},
  month =               apr,
  confyear =            {2003},
  confmonth =           {6},
  doi =                 {10.1016/S1571-0661(05)82604-0},
}
[Sch08] Sven Schewe. ATL* Satisfiability Is 2EXPTIME-Complete. In ICALP'08, Lecture Notes in Computer Science 5126, pages 373-385. Springer-Verlag, juillet 2008.
@inproceedings{icalp2008-Sch,
  author =              {Schewe, Sven},
  title =               {{ATL}{\(^*\)} Satisfiability Is 2{EXPTIME}-Complete},
  editor =              {Aceto, Luca and Damg{\aa}rd, Ivan and Goldberg,
                         Leslie Ann and Halld{\'o}rsson, Magn{\'u}s M. and
                         Ing{\'o}lfsd{\'o}ttir, Anna and Walukiewicz, Igor},
  booktitle =           {{P}roceedings of the 35th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'08)~-- Part~{II}},
  acronym =             {{ICALP}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5126},
  pages =               {373-385},
  year =                {2008},
  month =               jul,
}
[Sch08] Sven Schewe. Synthesis of Distributed Systems. PhD thesis, Saarland University, Germany, Juillet 2008.
@phdthesis{phd-schewe,
  author =              {Schewe, Sven},
  title =               {Synthesis of Distributed Systems},
  year =                {2008},
  month =               jul,
  school =              {Saarland University, Germany},
}
[Sch13] Sylvain Schmitz. Complexity Hierarchies Beyond Elementary. Research Report cs.CC/1312.5686, arXiv, décembre 2013.
@techreport{arxiv-cs.CC/1312.5686,
  author =              {Schmitz, Sylvain},
  title =               {Complexity Hierarchies Beyond Elementary},
  number =              {cs.CC/1312.5686},
  year =                {2013},
  month =               dec,
  institution =         {arXiv},
  type =                {Research Report},
}
[Sch16] Sylvain Schmitz. Complexity Hierarchies Beyond Elementary. ACM Transactions on Computation Theory 8(1):3:1-3:36. ACM Press, février 2016.
@article{toct8(1)-Sch,
  author =              {Schmitz, Sylvain},
  title =               {Complexity Hierarchies Beyond Elementary},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computation Theory},
  volume =              {8},
  number =              {1},
  pages =               {3:1-3:36},
  year =                {2016},
  month =               feb,
  doi =                 {10.1145/2858784},
}
[SE89] Robert S. Streett et E. Allen Emerson. An Automata Theoretic Decision Procedure for the Propositional Mu-Calculus. Information and Computation 81(3):249-264. Academic Press, 1989.
@article{icomp81(3)-SE,
  author =              {Streett, Robert S. and Emerson, E. Allen},
  title =               {An Automata Theoretic Decision Procedure for the
                         Propositional Mu-Calculus},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {81},
  number =              {3},
  pages =               {249-264},
  year =                {1989},
}
[See76] Detlef G. Seese. Entscheidbarkeits- und Interpretierbarkeitsfragen monadischer Theorien zweiter Stufe gewisser Klassen von Graphen. PhD thesis, Humboldt-Universität zu Berlin, German Democratic Republic, 1976.
@phdthesis{phd-seese,
  author =              {Seese, Detlef G.},
  title =               {Entscheidbarkeits- und {I}nterpretierbarkeitsfragen
                         monadischer {T}heorien zweiter {S}tufe gewisser
                         {K}lassen von {G}raphen},
  year =                {1976},
  school =              {Humboldt-Universit{\"a}t zu Berlin, German
                         Democratic Republic},
}
[Ser04] Olivier Serre. Vectorial Languages and Linear Temporal Logic. Theoretical Computer Science 310(1-3):79-116. Elsevier, janvier 2004.
@article{tcs310(1-3)-ser,
  author =              {Serre, Olivier},
  title =               {Vectorial Languages and Linear Temporal Logic},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {310},
  number =              {1-3},
  pages =               {79-116},
  year =                {2004},
  month =               jan,
}
[Ser06] Olivier Serre. Parity games played on transition graphs of one-counter processes. In FoSSaCS'06, Lecture Notes in Computer Science 3921, pages 337-351. Springer-Verlag, mars 2006.
@inproceedings{fossacs2006-Ser,
  author =              {Serre, Olivier},
  title =               {Parity games played on transition graphs of
                         one-counter processes},
  editor =              {Aceto, Luca and Ing{\'o}lfsd{\'o}ttir, Anna},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'06)},
  acronym =             {{FoSSaCS}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3921},
  pages =               {337-351},
  year =                {2006},
  month =               mar,
  doi =                 {10.1007/11690634_23},
}
[SF06] Sven Schewe et Bernd Finkbeiner. Satisfiability and Finite Model Property for the Alternating-Time μ-Calculus. In CSL'06, Lecture Notes in Computer Science 4207, pages 591-605. Springer-Verlag, septembre 2006.
@inproceedings{csl2006-SF,
  author =              {Schewe, Sven and Finkbeiner, Bernd},
  title =               {Satisfiability and Finite Model Property for the
                         Alternating-Time {\(\mu\)}-Calculus},
  editor =              {{\'E}sik, Zolt{\'a}n},
  booktitle =           {{P}roceedings of the 20th {I}nternational {W}orkshop
                         on {C}omputer {S}cience {L}ogic ({CSL}'06)},
  acronym =             {{CSL}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4207},
  pages =               {591-605},
  year =                {2006},
  month =               sep,
}
[SF07] Sven Schewe et Bernd Finkbeiner. Synthesis of Asynchronous Systems. In LOPSTR'06, Lecture Notes in Computer Science 4407, pages 127-142. Springer-Verlag, 2007.
@inproceedings{lopstr2006-SF,
  author =              {Schewe, Sven and Finkbeiner, Bernd},
  title =               {Synthesis of Asynchronous Systems},
  editor =              {Puebla, Germ{\'a}n},
  booktitle =           {{R}evised {S}elected {P}apers of the 16th
                         {I}nternational {S}ymposium on {L}ogic-{B}ased
                         {P}rogram {S}ynthesis and {T}ransformation
                         ({LOPSTR}'06)},
  acronym =             {{LOPSTR}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4407},
  pages =               {127-142},
  year =                {2007},
  confyear =            {2006},
  confmonth =           {7},
}
[SF07] Mani Swaminathan et Martin Fränzle. A Symbolic Decision Procedure for Robust Safety of Timed Systems. In TIME'07, pages 192. IEEE Comp. Soc. Press, juin 2007.
@inproceedings{time2007-SF,
  author =              {Swaminathan, Mani and Fr{\"a}nzle, Martin},
  title =               {A Symbolic Decision Procedure for Robust Safety of
                         Timed Systems},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {S}ymposium on {T}emporal {R}epresentation and
                         {R}easoning ({TIME}'07)},
  acronym =             {{TIME}'07},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {192},
  year =                {2007},
  month =               jun,
}
[SFK08] Mani Swaminathan, Martin Fränzle et Joost-Pieter Katoen. The Surprising Robustness of (Closed) Timed Automata against Clock-Drift. In IFIPTCS'08, IFIP Conference Proceedings 273, pages 537-553. Springer-Verlag, septembre 2008.
@inproceedings{ifiptcs2008-SFK,
  author =              {Swaminathan, Mani and Fr{\"a}nzle, Martin and
                         Katoen, Joost-Pieter},
  title =               {The Surprising Robustness of (Closed) Timed Automata
                         against Clock-Drift},
  editor =              {Karhum{\"a}ki, Juhani and Ong, Luke},
  booktitle =           {{P}roceedings of the 5th {IFIP} {I}nternational
                         {C}onference on {T}heoretical {C}omputer {S}cience
                         ({IFIPTCS}'08)},
  acronym =             {{IFIPTCS}'08},
  publisher =           {Springer-Verlag},
  series =              {IFIP Conference Proceedings},
  volume =              {273},
  pages =               {537-553},
  year =                {2008},
  month =               sep,
}
[Sha53] Lloyd S. Shapley. Stochastic games. Proceedings of the National Academy of Sciences 39(10):1095-1100. National Academy of Sciences of the United States of America, octobre 1953.
@article{pnas39(10)-Sha,
  author =              {Shapley, Lloyd S.},
  title =               {Stochastic games},
  publisher =           {National Academy of Sciences of the United States of
                         America},
  journal =             {Proceedings of the National Academy of Sciences},
  volume =              {39},
  number =              {10},
  pages =               {1095-1100},
  year =                {1953},
  month =               oct,
  doi =                 {10.1073/pnas.39.10.1095},
}
[She59] John C. Shepherdson. The Reduction of Two-Way Automata to One-Way Automata. IBM Journal of Research and Development 3(2):198-200. Avril 1959.
@article{IBM-JRD3-She,
  author =              {Shepherdson, John C.},
  title =               {The Reduction of Two-Way Automata to One-Way
                         Automata},
  journal =             {IBM Journal of Research and Development},
  volume =              {3},
  number =              {2},
  pages =               {198-200},
  year =                {1959},
  month =               apr,
}
[Shi14] Mahsa Shirmohammadi. Qualitative analysis of synchronizing probabilistic systems. Thèse de doctorat, Lab. Spécification & Vérification, ENS Cachan, France and Département d'Informatique, Université Libre de Bruxelles, Belgium, Décembre 2014.
@phdthesis{phd-shirmohammadi,
  author =              {Shirmohammadi, Mahsa},
  title =               {Qualitative analysis of synchronizing probabilistic
                         systems},
  year =                {2014},
  month =               dec,
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France and D{\'e}partement d'Informatique,
                         Universit{\'e} Libre de Bruxelles, Belgium},
  type =                {Th\`ese de doctorat},
}
[Shi19] Yaroslav Shitov. An Improvement to a Recent Upper Bound for Synchronizing Words of Finite Automata. Journal of Automata, Languages and Combinatorics 24(2-4):367-373. 2019.
@article{jalc24(2-4)-Shi,
  author =              {Shitov, Yaroslav},
  title =               {An Improvement to a Recent Upper Bound for
                         Synchronizing Words of Finite Automata},
  journal =             {Journal of Automata, Languages and Combinatorics},
  volume =              {24},
  number =              {2-4},
  pages =               {367-373},
  year =                {2019},
  doi =                 {10.25596/jalc-2019-367},
}
[Sho08] Yoav Shoham. Computer Science and Game Theory. Communications of the ACM 51(8):74-79. ACM Press, août 2008.
@article{cacm51(8)-Sho,
  author =              {Shoham, Yoav},
  title =               {Computer Science and Game Theory},
  publisher =           {ACM Press},
  journal =             {Communications of the ACM},
  volume =              {51},
  number =              {8},
  pages =               {74-79},
  year =                {2008},
  month =               aug,
  doi =                 {10.1145/1378704.1378721},
}
[Sic19] Salomon Sickert. A unified translation of Linear Temporal Logic to ω-automata. PhD thesis, Technischen Universität München, Germany, Juillet 2019.
@phdthesis{phd-sickert,
  author =              {Sickert, Salomon},
  title =               {A~unified translation of Linear Temporal Logic to
                         {\(\omega\)}-automata},
  year =                {2019},
  month =               jul,
  school =              {Technischen Universit{\"a}t M{\"u}nchen, Germany},
}
[Sip80] Michael Sipser. Halting Space-bounded Computations. Theoretical Computer Science 10(3):335-338. Elsevier, 1980.
@article{tcs10(3)-Sip,
  author =              {Sipser, Michael},
  title =               {Halting Space-bounded Computations},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {10},
  number =              {3},
  pages =               {335-338},
  year =                {1980},
}
[Sip97] Michael Sipser. Introduction to the theory of computation. PWS Publishing Company, 1997.
@book{Sip97-ITC,
  author =              {Sipser, Michael},
  title =               {Introduction to the theory of computation},
  publisher =           {PWS Publishing Company},
  year =                {1997},
}
[Sip06] Michael Sipser. Introduction to the theory of computation. Thomson Course Technology, 2006.
@book{Sip06-ITC,
  author =              {Sipser, Michael},
  title =               {Introduction to the theory of computation},
  publisher =           {Thomson Course Technology},
  year =                {2006},
}
[Sip13] Michael Sipser. Introduction to the theory of computation. Cengage Learning, 2013.
@book{Sip13-ITC,
  author =              {Sipser, Michael},
  title =               {Introduction to the theory of computation},
  publisher =           {Cengage Learning},
  year =                {2013},
}
[Sis83] A. Prasad Sistla. Theoretical Issues in the Design and Verification of Distributed Systems. PhD thesis, Harvard University, 1983.
@phdthesis{phd-sistla,
  author =              {Sistla, A. Prasad},
  title =               {Theoretical Issues in the Design and Verification of
                         Distributed Systems},
  year =                {1983},
  school =              {Harvard University},
}
[SJ01] Zdeněk Sawa et Petr Jančar. P-hardness of Equivalence Testing on Finite State Processes. In SOFSEM'01, Lecture Notes in Computer Science 2234, pages 326-335. Springer-Verlag, novembre 2001.
@inproceedings{sofsem2001-SJ,
  author =              {Sawa, Zden{\v{e}}k and Jan{\v c}ar, Petr},
  title =               {{P}-hardness of Equivalence Testing on Finite State
                         Processes},
  editor =              {Pacholski, Leszek and Ruzicka, Peter},
  booktitle =           {{P}roceedings of the 28th {C}onference on {C}urrent
                         {T}rends in {T}heory and {P}ractice of {I}nformatics
                         ({SOFSEM}'01)},
  acronym =             {{SOFSEM}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2234},
  pages =               {326-335},
  year =                {2001},
  month =               nov,
}
[SJM+24] Ocan Sankur, Thierry Jéron, Nicolas Markey, David Mentré et Reiya Noguchi. Online Test Synthesis From Requirements: Enhancing Reinforcement Learning with Game Theory. Technical Report 2407-18994, arXiv, juillet 2024.
Résumé

We consider the automatic online synthesis of black-box test cases from functional requirements specified as automata for reactive implementations. The goal of the tester is to reach some given state, so as to satisfy a coverage criterion, while monitoring the violation of the requirements. We develop an approach based on Monte Carlo Tree Search, which is a classical technique in reinforcement learning for efficiently selecting promising inputs. Seeing the automata requirements as a game between the implementation and the tester, we develop a heuristic by biasing the search towards inputs that are promising in this game. We experimentally show that our heuristic accelerates the convergence of the Monte Carlo Tree Search algorithm, thus improving the performance of testing.

@techreport{2407.18994-SJMMN,
  author =              {Sankur, Ocan and J{\'e}ron, Thierry and Markey,
                         Nicolas and Mentr{\'e}, David and Noguchi, Reiya},
  title =               {Online Test Synthesis From Requirements: Enhancing
                         Reinforcement Learning with Game Theory},
  number =              {2407-18994},
  year =                {2024},
  month =               jul,
  doi =                 {10.48550/arXiv.2407-18994},
  institution =         {arXiv},
  abstract =            {We consider the automatic online synthesis of
                         black-box test cases from functional requirements
                         specified as automata for reactive implementations.
                         The goal of the tester is to reach some given state,
                         so as to satisfy a coverage criterion, while
                         monitoring the violation of the requirements. We
                         develop an approach based on Monte~Carlo Tree
                         Search, which is a classical technique in
                         reinforcement learning for efficiently selecting
                         promising inputs. Seeing the automata requirements
                         as a game between the implementation and the tester,
                         we develop a heuristic by biasing the search towards
                         inputs that are promising in this game.
                         We~experimentally show that our heuristic
                         accelerates the convergence of the Monte~Carlo Tree
                         Search algorithm, thus improving the performance of
                         testing.},
}
[SK21] Neda Saeedloei et Feliks Kluźniak. Minimization of the Number of Clocks for Timed Scenarios. In SBMF'21, Lecture Notes in Computer Science 13130, pages 122-139. Springer-Verlag, 2021.
@inproceedings{sbmf2021-SK,
  author =              {Saeedloei, Neda and Klu{\'z}niak, Feliks},
  title =               {Minimization of the Number of Clocks for Timed
                         Scenarios},
  editor =              {Campos, S{\'e}rgio Vale Aguiar and Minea, Marius},
  booktitle =           {{P}roceedings of the24th {B}razilian {S}ymposium on
                         {F}ormal {M}ethods ({SBMF}'21)},
  acronym =             {{SBMF}'21},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {13130},
  pages =               {122-139},
  year =                {2021},
  confmonth =           {12},
  doi =                 {10.1007/978-3-030-92137-8_8},
}
[SKL06] Oleg Sokolsky, Sampath Kannan et Insup Lee. Simulation-Based Graph Similarity. In TACAS'06, Lecture Notes in Computer Science 3920, pages 426-440. Springer-Verlag, mars 2006.
@inproceedings{tacas2006-SKL,
  author =              {Sokolsky, Oleg and Kannan, Sampath and Lee, Insup},
  title =               {Simulation-Based Graph Similarity},
  editor =              {Hermanns, Holger and Palsberg, Jens},
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                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'06)},
  acronym =             {{TACAS}'06},
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@inproceedings{express2000-SKS,
  author =              {Shamir, Shoham and Kupferman, Orna and Shamir, Eli},
  title =               {Branching-Depth Hierarchies},
  editor =              {Aceto, Luca and Victor, Bjorn},
  booktitle =           {{P}roceedings of the 7th {I}nternational {W}orkshop
                         on {E}xpressiveness in {C}oncurrency ({EXPRESS}'00)},
  acronym =             {{EXPRESS}'00},
  publisher =           {Elsevier},
  series =              {Electronic Notes in Theoretical Computer Science},
  volume =              {39},
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  month =               feb,
  confyear =            {2000},
  confmonth =           {8},
}
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  author =              {Slaney, John K.},
  title =               {Semipositive {LTL} with an Uninterpreted Past
                         Operator},
  publisher =           {Oxford University Press},
  journal =             {Logic Journal of the IGPL},
  volume =              {13},
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}
[SLB09] Yoav Shoham et Kevin Leyton-Brown. Multiagent Systems – Algorithmic, Game-Theoretic, and Logical Foundations. Cambridge University Press, 2009.
@book{mas-SL09,
  author =              {Shoham, Yoav and Leyton-Brown, Kevin},
  title =               {Multiagent Systems~-- Algorithmic, Game-Theoretic,
                         and Logical Foundations},
  publisher =           {Cambridge University Press},
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}
[SLS+14] Youcheng Sun, Giuseppe Lipari, Romain Soulat, Laurent Fribourg et Nicolas Markey. Component-Based Analysis of Hierarchical Scheduling using Linear Hybrid Automata. In RTCSA'14. IEEE Comp. Soc. Press, août 2014.
Résumé

Formal methods (e.g. Timed Automata or Linear Hybrid Automata) can be used to analyse a real-time system by performing a reachability analysis on the model. The advantage of using formal methods is that they are more expressive than classical analytic models used in schedulability analysis. For example, it is possible to express state-dependent behaviour, arbitrary activation patterns, etc.

In this paper we use the formalism of Linear Hybrid Automata to encode a hierarchical scheduling system. In particular, we model a dynamic server algorithm and the tasks contained within, abstracting away the rest of the system, thus enabling component-based scheduling analysis. We prove the correctness of the model and the decidability of the reachability analysis for the case of periodic tasks. Then, we compare the results of our model against classical schedulability analysis techniques, showing that our analysis performs better than analytic methods in terms of resource utilisation. We further present two case studies: a component with state-dependent tasks, and a simplified model of a real avionics system. Finally, through extensive tests with various configurations, we demonstrate that this approach is usable for medium size components.

@inproceedings{rtcsa2014-SLSFM,
  author =              {Sun, Youcheng and Lipari, Giuseppe and Soulat,
                         Romain and Fribourg, Laurent and Markey, Nicolas},
  title =               {Component-Based Analysis of Hierarchical Scheduling
                         using Linear Hybrid Automata},
  booktitle =           {{P}roceedings of the 20th {I}nternational
                         {C}onference on {R}eal-{T}ime {C}omputing {S}ystems
                         and {A}pplications ({RTCSA}'14)},
  acronym =             {{RTCSA}'14},
  publisher =           {IEEE Comp. Soc. Press},
  year =                {2014},
  month =               aug,
  doi =                 {10.1109/RTCSA.2014.6910502},
  abstract =            {Formal methods (e.g. Timed Automata or Linear Hybrid
                         Automata) can be used to analyse a real-time system
                         by performing a reachability analysis on the model.
                         The advantage of using formal methods is that they
                         are more expressive than classical analytic models
                         used in schedulability analysis. For example, it is
                         possible to express state-dependent behaviour,
                         arbitrary activation patterns,~etc.\par In this
                         paper we use the formalism of Linear Hybrid Automata
                         to encode a hierarchical scheduling system. In
                         particular, we model a dynamic server algorithm and
                         the tasks contained within, abstracting away the
                         rest of the system, thus enabling component-based
                         scheduling analysis. We prove the correctness of the
                         model and the decidability of the reachability
                         analysis for the case of periodic tasks. Then, we
                         compare the results of our model against classical
                         schedulability analysis techniques, showing that our
                         analysis performs better than analytic methods in
                         terms of resource utilisation. We further present
                         two case studies: a~component with state-dependent
                         tasks, and a simplified model of a real avionics
                         system. Finally, through extensive tests with
                         various configurations, we demonstrate that this
                         approach is usable for medium size components.},
}
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  publisher =           {IEEE Comp. Soc. Press},
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                         Anton{\'\i}n},
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                         ({CONCUR}'09)},
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                         Scheme by a Reduced Grammar Transform},
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  month =               aug,
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}
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  title =               {Completeness in the Polynomial-Time hierarchy:
                         Part~II},
  publisher =           {ACM Press},
  journal =             {SIGACT News},
  volume =              {33},
  number =              {4},
  pages =               {22-36},
  year =                {2002},
  month =               dec,
}
[SU02] Marcus Schaefer et Christopher Umans. Completeness in the Polynomial-Time hierarchy: Part II. SIGACT News 33(4):22-36. ACM Press, décembre 2002.
@article{sigact-news33(4)-SU,
  author =              {Schaefer, Marcus and Umans, Christopher},
  title =               {Completeness in the Polynomial-Time hierarchy:
                         Part~II},
  publisher =           {ACM Press},
  journal =             {SIGACT News},
  volume =              {33},
  number =              {4},
  pages =               {22-36},
  year =                {2002},
  month =               dec,
}
[SVD01] Jan Springintveld, Frits Vaandrager et Pedro R. D'Argenio. Testing timed automata. Theoretical Computer Science 254(1-2):225-257. Elsevier, mars 2001.
@article{tcs254(1-2)-SVD,
  author =              {Springintveld, Jan and Vaandrager, Frits and
                         D{'}Argenio, Pedro R.},
  title =               {Testing timed automata},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {254},
  number =              {1-2},
  pages =               {225-257},
  year =                {2001},
  month =               mar,
  doi =                 {10.1016/S0304-3975(99)00134-6},
}
[SVM+12] Diego V. Simões De Sousa, Henrique Viana, Nicolas Markey et Jose Antônio F. de Macêdo. Querying Trajectories through Model Checking based on Timed Automata. In SBBD'12, pages 33-40. Sociedade Brasileira de Computação, octobre 2012.
Résumé

The popularization of geographical position devices (e.g. GPS) creates new opportunities for analyzing behavior of moving objects. However, such analysis are hindered by a lack of semantic information associated to the basic information provided by GPS. Previous works propose semantic enrichment of trajectories. Through the semantic enrichment, we could check which trajectories have a given moving sequence in an application. Often, this sequence is expressed according to the semantic application, using the approach of semantic trajectories proposed in the literature. This trajectory can be represented as a sequence of predicates that holds in some time interval. However, the solutions for querying moving sequence proposed by previous works have a high computational cost. In this paper, we propose an expressive query language to semantic trajectories that allows temporal constraints. To evaluate a query we will use model checking based on timed automata, that can be performed in polynomial time. As this model checking algorithm is not implemented yet, we propose to use UPPAAL tool, that can be more expensive theoretically, but we expected that will be ecient for our approach. In addition, we will present a query example that demonstrates the expressive power of our language. Although in this paper we will focus on semantic trajectories data, our approach is general enough for being applied to other purposes.

@inproceedings{sbbd2012-SVMM,
  author =              {Sim{\~o}es{ }De{~}Sousa, Diego V. and Viana,
                         Henrique and Markey, Nicolas and de Mac{\^e}do, Jose
                         Ant{\^o}nio F.},
  title =               {Querying Trajectories through Model Checking based
                         on Timed Automata},
  editor =              {Casanova, Marco A.},
  booktitle =           {{P}roceedings of the 27th {B}razilian {S}ymposium on
                         {D}atabases ({SBBD}'12)},
  acronym =             {{SBBD}'12},
  publisher =           {Sociedade Brasileira de Computa{\c c}{\~a}o},
  pages =               {33-40},
  year =                {2012},
  month =               oct,
  abstract =            {The popularization of geographical position devices
                         (e.g.~GPS) creates new opportunities for analyzing
                         behavior of moving objects. However, such analysis
                         are hindered by a lack of semantic information
                         associated to the basic information provided by~GPS.
                         Previous works propose semantic enrichment of
                         trajectories. Through the semantic enrichment,
                         we~could check which trajectories have a given
                         moving sequence in an application. Often,
                         this~sequence is expressed according to the semantic
                         application, using the approach of semantic
                         trajectories proposed in the literature.
                         This~trajectory can be represented as a sequence of
                         predicates that holds in some time interval.
                         However, the solutions for querying moving sequence
                         proposed by previous works have a high computational
                         cost. In~this paper, we~propose an expressive query
                         language to semantic trajectories that allows
                         temporal constraints. To~evaluate a query we will
                         use model checking based on timed automata, that can
                         be performed in polynomial time. As~this model
                         checking algorithm is not implemented yet, we
                         propose to use UPPAAL tool, that can be more
                         expensive theoretically, but we expected that will
                         be ecient for our approach. In addition, we will
                         present a query example that demonstrates the
                         expressive power of our language. Although in this
                         paper we will focus on semantic trajectories data,
                         our approach is general enough for being applied to
                         other purposes.},
}
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                         Pierre},
  title =               {The Complementation Problem for {B}{\"u}chi Automata
                         with Applications to Temporal Logics},
  publisher =           {Elsevier},
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}
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                         N{\'u}{\~n}ez, Manuel},
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T
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  title =               {Languages, Automata and Logics},
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  booktitle =           {Handbook of Formal Languages},
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}
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                         of a Tutoral)},
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  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'02)},
  acronym =             {{CAV}'02},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
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  month =               jul,
}
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                         interpolants},
  editor =              {Abate, Alessandro and Geeraerts, Gilles},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'17)},
  acronym =             {{FORMATS}'17},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {10419},
  pages =               {264-280},
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                         realizing the multiplication of integers},
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  journal =             {Doklady Akademii Nauk SSSR},
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}
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  acronym =             {{RV}'04},
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                         {A}nalysis of {S}ystems ({TACAS}'96)},
  acronym =             {{TACAS}'96},
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  author =              {Tretmans, Jan},
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                         Systems: Implementation Relations and Test
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                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'99)},
  acronym =             {{TACAS}'99},
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  editor =              {Sangiovani{-}Vincentelli, Alberto L. and Sifakis,
                         Joseph},
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                         {C}onference on {E}mbedded {S}oftware ({EMSOFT}'02)},
  acronym =             {{EMSOFT}'02},
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                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'02)},
  acronym =             {{STACS}'02},
  publisher =           {Springer-Verlag},
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                         ({JELIA}'12)},
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  acronym =             {{RV}'01},
  publisher =           {Elsevier},
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  publisher =           {Springer-Verlag},
  journal =             {Formal Methods in System Design},
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U
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                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'13)},
  acronym =             {{FoSSaCS}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {7794},
  pages =               {353-368},
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  author =              {Ummels, Michael},
  title =               {Rational Behavious and Strategy Construction in
                         Infinite Multiplayer Games},
  year =                {2005},
  month =               jul,
  school =              {RWTH Aachen, Germany},
  type =                {Diplomarbeit},
}
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                         Infinite Multiplayer Games},
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                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'06)},
  acronym =             {{FSTTCS}'06},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4337},
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                         {C}onference on {F}oundations of {S}oftware
                         {S}cience and {C}omputation {S}tructure
                         ({FoSSaCS}'08)},
  acronym =             {{FoSSaCS}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
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@phdthesis{phd10-Umm,
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  title =               {Stochastic multiplayer games: theory and algorithms},
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  month =               jan,
  school =              {RWTH Aachen, Germany},
}
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                         Stochastic Games},
  editor =              {Gr{\"a}del, Erich and Kahle, Reinhard},
  booktitle =           {{P}roceedings of the 23rd {I}nternational {W}orkshop
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  acronym =             {{CSL}'09},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5771},
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                         and Matias, Yossi and Nikoletseas, Sotiris and
                         Thomas, Wolfgang},
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[Van16] Marie Van den Bogaard. Motifs de flot d'information dans les jeux à information imparfaite. Thèse de doctorat, Lab. Spécification & Vérification, ENS Cachan, France, Décembre 2016.
@phdthesis{phd-vdb2016,
  author =              {Van{~}den{ }Bogaard, Marie},
  title =               {Motifs de flot d'information dans les jeux {\`a}
                         information imparfaite},
  year =                {2016},
  month =               dec,
  school =              {Lab.~Sp\'ecification \& V\'erification, ENS Cachan,
                         France},
  type =                {Th\`ese de doctorat},
}
[Var82] Moshe Y. Vardi. The Complexity of Relational Query Languages. In STOC'82, pages 137-146. ACM Press, mai 1982.
@inproceedings{stoc1982-Var,
  author =              {Vardi, Moshe Y.},
  title =               {The Complexity of Relational Query Languages},
  booktitle =           {{P}roceedings of the 14th {A}nnual {ACM} {S}ymposium
                         on the {T}heory of {C}omputing ({STOC}'82)},
  acronym =             {{STOC}'82},
  publisher =           {ACM Press},
  pages =               {137-146},
  year =                {1982},
  month =               may,
}
[Var85] Moshe Y. Vardi. Automatic Verification of Probabilistic Concurrent Finite-State Programs. In FOCS'85, pages 327-338. IEEE Comp. Soc. Press, octobre 1985.
@inproceedings{focs1985-Var,
  author =              {Vardi, Moshe Y.},
  title =               {Automatic Verification of Probabilistic Concurrent
                         Finite-State Programs},
  booktitle =           {{P}roceedings of the 26th {A}nnual {S}ymposium on
                         {F}oundations of {C}omputer {S}cience ({FOCS}'85)},
  acronym =             {{FOCS}'85},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {327-338},
  year =                {1985},
  month =               oct,
  doi =                 {10.1109/SFCS.1985.12},
}
[Var88] Moshe Y. Vardi. A Temporal Fixpoint Calculus. In POPL'88, pages 250-259. ACM Press, janvier 1988.
@inproceedings{popl1988-Var,
  author =              {Vardi, Moshe Y.},
  title =               {A Temporal Fixpoint Calculus},
  booktitle =           {Conference Record of the 15th {ACM} {S}ymposium on
                         {P}rinciples of {P}rogramming {L}anguages
                         ({POPL}'88)},
  acronym =             {{POPL}'88},
  publisher =           {ACM Press},
  pages =               {250-259},
  year =                {1988},
  month =               jan,
}
[Var89] Moshe Y. Vardi. A Note on the Reduction of Two-Way Automata to One-Way Automata. Information Processing Letters 30(5):261-264. Elsevier, mars 1989.
@article{ipl30(5)-var,
  author =              {Vardi, Moshe Y.},
  title =               {A Note on the Reduction of Two-Way Automata to
                         One-Way Automata},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {30},
  number =              {5},
  pages =               {261-264},
  year =                {1989},
  month =               mar,
}
[Var94] Moshe Y. Vardi. Nontraditional Applications of Automata Theory. In TACS'94, Lecture Notes in Computer Science 789, pages 575-597. Springer-Verlag, avril 1994.
@inproceedings{tacs1994-Var,
  author =              {Vardi, Moshe Y.},
  title =               {Nontraditional Applications of Automata Theory},
  editor =              {Hagiya, Masami and Mitchell, John C.},
  booktitle =           {{P}roceedings of the 2nd {I}nternational {S}ymposium
                         on {T}heoretical {A}spects of {C}omputer {S}oftware
                         ({TACS}'94)},
  acronym =             {{TACS}'94},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {789},
  pages =               {575-597},
  year =                {1994},
  month =               apr,
}
[Var95] Moshe Y. Vardi. Alternating Automata and Program Verification. In Jan van Leeuwen (eds.), Computer Science Today: Recent Trends and Developments, Lecture Notes in Computer Science 1000, pages 471-485. Springer-Verlag, 1995.
@incollection{lncs1000-Var,
  author =              {Vardi, Moshe Y.},
  title =               {Alternating Automata and Program Verification},
  editor =              {van Leeuwen, Jan},
  booktitle =           {Computer Science Today: Recent Trends and
                         Developments},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1000},
  pages =               {471-485},
  year =                {1995},
}
[Var96] Moshe Y. Vardi. An Automata-Theoretic Approach to Linear Temporal Logic. In Banff'94, Lecture Notes in Computer Science 1043, pages 238-266. Springer-Verlag, 1996.
@inproceedings{banff1994-Var,
  author =              {Vardi, Moshe Y.},
  title =               {An Automata-Theoretic Approach to Linear Temporal
                         Logic},
  editor =              {Moller, Faron and Birtwistle, Graham M.},
  booktitle =           {{L}ogics for {C}oncurrency, {S}tructure versus
                         {A}utomata: {P}roceedings of the 8th {B}anff
                         {H}igher {O}rder {W}orkshop ({B}anff'94)},
  acronym =             {{B}anff'94},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1043},
  pages =               {238-266},
  year =                {1996},
  confyear =            {1994},
  confmonth =           {8-9},
}
[Var97] Moshe Y. Vardi. Alternating Automata: Checking Truth and Validity for Temporal Logics. In CADE'97, Lecture Notes in Artificial Intelligence 1249, pages 191-206. Springer-Verlag, juillet 1997.
@inproceedings{cade1997-Var,
  author =              {Vardi, Moshe Y.},
  title =               {Alternating Automata: Checking Truth and Validity
                         for Temporal Logics},
  editor =              {McCune, William},
  booktitle =           {{P}roceedings of the 14th {I}nternational
                         {C}onference on {A}utomated {D}eduction ({CADE}'97)},
  acronym =             {{CADE}'97},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Artificial Intelligence},
  volume =              {1249},
  pages =               {191-206},
  year =                {1997},
  month =               jul,
}
[Var98] Moshe Y. Vardi. Sometimes and Not Never Revisited: on Branching versus Linear Time. In CONCUR'98, Lecture Notes in Computer Science 1466, pages 1-17. Springer-Verlag, septembre 1998.
@inproceedings{concur1998-Var,
  author =              {Vardi, Moshe Y.},
  title =               {Sometimes and Not Never Revisited: on Branching
                         versus Linear Time},
  editor =              {Sangiorgi, Davide and de Simone, Robert},
  booktitle =           {{P}roceedings of the 9th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'98)},
  acronym =             {{CONCUR}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1466},
  pages =               {1-17},
  year =                {1998},
  month =               sep,
}
[Var98] Moshe Y. Vardi. Reasoning about the Past with Two-Way Automata. In ICALP'98, Lecture Notes in Computer Science 1443, pages 628-641. Springer-Verlag, juillet 1998.
@inproceedings{icalp1998-Var,
  author =              {Vardi, Moshe Y.},
  title =               {Reasoning about the Past with Two-Way Automata},
  editor =              {Larsen, Kim Guldstrand and Skyum, Sven and Winskel,
                         Glynn},
  booktitle =           {{P}roceedings of the 25th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'98)},
  acronym =             {{ICALP}'98},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1443},
  pages =               {628-641},
  year =                {1998},
  month =               jul,
}
[Var98] Moshe Y. Vardi. Linear versus Branching Time: a Complexity-Theoretic Approach. In LICS'98, pages 394-405. IEEE Comp. Soc. Press, juin 1998.
@inproceedings{lics1998-Var,
  author =              {Vardi, Moshe Y.},
  title =               {Linear versus Branching Time: a Complexity-Theoretic
                         Approach},
  booktitle =           {{P}roceedings of the 13th {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'98)},
  acronym =             {{LICS}'98},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {394-405},
  year =                {1998},
  month =               jun,
}
[Var99] Moshe Y. Vardi. Probabilistic Linear-Time Model Checking: An Overview of the Automata-Theoretic Approach. In ARTS'99, Lecture Notes in Computer Science 1601, pages 265-276. Springer-Verlag, mai 1999.
@inproceedings{arts1999-Var,
  author =              {Vardi, Moshe Y.},
  title =               {Probabilistic Linear-Time Model Checking: An
                         Overview of the Automata-Theoretic Approach},
  editor =              {Katoen, Joost-Pieter},
  booktitle =           {{P}roceedings of the 5th {I}nternational {AMAST}
                         {W}orkshop on {F}ormal {M}ethods for {R}eal-{T}ime
                         and {P}robabilistic {S}ystems ({ARTS}'99)},
  acronym =             {{ARTS}'99},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1601},
  pages =               {265-276},
  year =                {1999},
  month =               may,
}
[Var01] Moshe Y. Vardi. Branching versus Linear Time: the Final Showdown. In TACAS'01, Lecture Notes in Computer Science 2031, pages 1-22. Springer-Verlag, avril 2001.
@inproceedings{tacas2001-Var,
  author =              {Vardi, Moshe Y.},
  title =               {Branching versus Linear Time: the Final Showdown},
  editor =              {Margaria, Tiziana and Yi, Wang},
  booktitle =           {{P}roceedings of the 7th {I}nternational
                         {C}onference on {T}ools and {A}lgorithms for
                         {C}onstruction and {A}nalysis of {S}ystems
                         ({TACAS}'01)},
  acronym =             {{TACAS}'01},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {2031},
  pages =               {1-22},
  year =                {2001},
  month =               apr,
}
[Var07] Moshe Y. Vardi. The Büchi Complementation Saga. In STACS'07, Lecture Notes in Computer Science 4393, pages 12-22. Springer-Verlag, février 2007.
@inproceedings{stacs2007-Var,
  author =              {Vardi, Moshe Y.},
  title =               {The {B}{\"u}chi Complementation Saga},
  editor =              {Thomas, Wolfgang and Weil, Pascal},
  booktitle =           {{P}roceedings of the 24th {S}ymposium on
                         {T}heoretical {A}spects of {C}omputer {S}cience
                         ({STACS}'07)},
  acronym =             {{STACS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4393},
  pages =               {12-22},
  year =                {2007},
  month =               feb,
}
[VCD+15] Yaron Velner, Krishnendu Chatterjee, Laurent Doyen, Thomas A. Henzinger, Alexander Rabinovich et Jean-François Raskin. The complexity of multi-mean-payoff and multi-energy games. Information and Computation 241:177-196. Elsevier, avril 2015.
@article{icomp241()-VCDHRR,
  author =              {Velner, Yaron and Chatterjee, Krishnendu and Doyen,
                         Laurent and Henzinger, Thomas A. and Rabinovich,
                         Alexander and Raskin, Jean-Fran{\c c}ois},
  title =               {The complexity of multi-mean-payoff and multi-energy
                         games},
  publisher =           {Elsevier},
  journal =             {Information and Computation},
  volume =              {241},
  pages =               {177-196},
  year =                {2015},
  month =               apr,
  doi =                 {10.1016/j.ic.2015.03.001},
}
[Vea97] Margus Veanes. On Computational Complexity of Basic Decision Problems of Finite Tree Automata. Technical Report 133, Uppsala Programming Methodology and Artificial Intelligence Laboratory, Sweden, janvier 1997.
@techreport{upmail-133-Vea,
  author =              {Veanes, Margus},
  title =               {On Computational Complexity of Basic Decision
                         Problems of Finite Tree Automata},
  number =              {133},
  year =                {1997},
  month =               jan,
  institution =         {Uppsala Programming Methodology and Artificial
                         Intelligence Laboratory, Sweden},
  type =                {Technical Report},
}
[Ven98] Yde Venema. Rectangular games. Journal of Symbolic Logic 63(4):1549-1564. Association for Symbolic Logic, décembre 1998.
@article{jsl63(4)-Ven,
  author =              {Venema, Yde},
  title =               {Rectangular games},
  publisher =           {Association for Symbolic Logic},
  journal =             {Journal of Symbolic Logic},
  volume =              {63},
  number =              {4},
  pages =               {1549-1564},
  year =                {1998},
  month =               dec,
}
[Ves15] Steen Vester. On the Complexity of Model-checking Branching and Alternating-time Temporal Logics in One-counter systems. In ATVA'15, Lecture Notes in Computer Science 9364, pages 361-377. Springer-Verlag, octobre 2015.
@inproceedings{atva2015-Ves,
  author =              {Vester, Steen},
  title =               {On the Complexity of Model-checking Branching and
                         Alternating-time Temporal Logics in One-counter
                         systems},
  editor =              {Finkbeiner, Bernd and Pu, Geguang and Zhang, Lijun},
  booktitle =           {{P}roceedings of the 13th {I}nternational
                         {S}ymposium on {A}utomated {T}echnology for
                         {V}erification and {A}nalysis ({ATVA}'15)},
  acronym =             {{ATVA}'15},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9364},
  pages =               {361-377},
  year =                {2015},
  month =               oct,
  doi =                 {10.1007/978-3-319-24953-7_27},
}
[Vin01] Aymeric Vincent. Synthèse de contrôleurs et stratégies gagnantes dans les jeux de parité. In MSR'01, pages 87-98. Hermès, octobre 2001.
@inproceedings{msr2001-Vin,
  author =              {Vincent, Aymeric},
  title =               {Synth{\`e}se de contr{\^o}leurs et strat{\'e}gies
                         gagnantes dans les jeux de parit{\'e}},
  booktitle =           {{A}ctes du 3{\`e}me {C}olloque {F}rancophone sur la
                         {M}od{\'e}lisation des {S}yst{\`e}mes r{\'e}actifs
                         ({MSR}'01)},
  acronym =             {{MSR}'01},
  publisher =           {Herm{\`e}s},
  pages =               {87-98},
  year =                {2001},
  month =               oct,
}
[Vin05] N. V. Vinodchandran. A Note on the Circuit Complexity of PP. Theoretical Computer Science 347(1-2):415-418. Elsevier, novembre 2005.
@article{tcs347(1-2)-Vin,
  author =              {Vinodchandran, N. V.},
  title =               {A Note on the Circuit Complexity of~{PP}},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {347},
  number =              {1-2},
  pages =               {415-418},
  year =                {2005},
  month =               nov,
}
[Vol99] Heribert Vollmer. Introduction to circuit complexity. Springer-Verlag, 1999.
@book{circuit-vol99,
  author =              {Vollmer, Heribert},
  title =               {Introduction to circuit complexity},
  publisher =           {Springer-Verlag},
  year =                {1999},
}
[Vol08] Mikhail V. Volkov. Synchronizing Automata and the Černý Conjecture. In LATA'08, Lecture Notes in Computer Science 5196, pages 11-27. Springer-Verlag, mars 2008.
@inproceedings{lata2008-Vol,
  author =              {Volkov, Mikhail V.},
  title =               {Synchronizing Automata and the {{\v{C}}}ern{\'y}
                         Conjecture},
  editor =              {Mart{\'\i}n-Vide, Carlos and Otto, Friedrich and
                         Fernau, Henning},
  booktitle =           {{R}evised {P}apers of the 2nd {I}nternational
                         {C}onference on {L}anguage and {A}utomata {T}heory
                         and {A}pplications ({LATA}'08)},
  acronym =             {{LATA}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5196},
  pages =               {11-27},
  year =                {2008},
  month =               mar,
}
[VPK+08] P. Vijay Suman, Paritosh K. Pandya, Shankara Narayanan Krishna et Lakshmi Manasa. Timed Automata with Integer Resets: Language Inclusion and Expressiveness. In FORMATS'08, Lecture Notes in Computer Science 5215, pages 78-92. Springer-Verlag, septembre 2008.
@inproceedings{formats2008-VPKM,
  author =              {Vijay{ }Suman, P. and Pandya, Paritosh K. and
                         Krishna, Shankara Narayanan and Manasa, Lakshmi},
  title =               {Timed Automata with Integer Resets: Language
                         Inclusion and Expressiveness},
  editor =              {Cassez, Franck and Jard, Claude},
  booktitle =           {{P}roceedings of the 6th {I}nternational
                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
                         of {T}imed {S}ystems ({FORMATS}'08)},
  acronym =             {{FORMATS}'08},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {5215},
  pages =               {78-92},
  year =                {2008},
  month =               sep,
  doi =                 {10.1007/978-3-540-85778-5_7},
}
[VS85] Moshe Y. Vardi et Larry J. Stockmeyer. Improved Upper and Lower Bounds for Modal Logics of Programs. In STOC'85, pages 240-251. ACM Press, mai 1985.
@inproceedings{stoc1985-VS,
  author =              {Vardi, Moshe Y. and Stockmeyer, Larry J.},
  title =               {Improved Upper and Lower Bounds for Modal Logics of
                         Programs},
  booktitle =           {{P}roceedings of the 17th {A}nnual {ACM} {S}ymposium
                         on the {T}heory of {C}omputing ({STOC}'85)},
  acronym =             {{STOC}'85},
  publisher =           {ACM Press},
  pages =               {240-251},
  year =                {1985},
  month =               may,
}
[VTL79] Jacobo Valdes, Robert Endre Tarjan et Eugene L. Lawler. The recognition of series-parallel digraphs. In STOC'79, pages 1-12. ACM Press, avril 1979.
@inproceedings{stoc1979-VTL,
  author =              {Valdes, Jacobo and Tarjan, Robert Endre and Lawler,
                         Eugene L.},
  title =               {The recognition of series-parallel digraphs},
  booktitle =           {{P}roceedings of the 11th {A}nnual {ACM} {S}ymposium
                         on the {T}heory of {C}omputing ({STOC}'79)},
  acronym =             {{STOC}'79},
  publisher =           {ACM Press},
  pages =               {1-12},
  year =                {1979},
  month =               apr,
  doi =                 {10.1145/800135.804393},
}
[VV06] Daniele Varacca et Hagen Völzer. Temporal Logics and Model Checking for Fairly Correct Systems. In LICS'06, pages 389-398. IEEE Comp. Soc. Press, juillet 2006.
@inproceedings{lics2006-VV,
  author =              {Varacca, Daniele and V{\"o}lzer, Hagen},
  title =               {Temporal Logics and Model Checking for Fairly
                         Correct Systems},
  booktitle =           {{P}roceedings of the 21st {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'06)},
  acronym =             {{LICS}'06},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {389-398},
  year =                {2006},
  month =               jul,
  doi =                 {10.1109/LICS.2006.49},
}
[VW86] Moshe Y. Vardi et Pierre Wolper. An Automata-Theoretic Approach to Automatic Program Verification. In LICS'86, pages 332-344. IEEE Comp. Soc. Press, juin 1986.
@inproceedings{lics1986-VW,
  author =              {Vardi, Moshe Y. and Wolper, Pierre},
  title =               {An Automata-Theoretic Approach to Automatic Program
                         Verification},
  booktitle =           {{P}roceedings of the 1st {A}nnual {S}ymposium on
                         {L}ogic in {C}omputer {S}cience ({LICS}'86)},
  acronym =             {{LICS}'86},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {332-344},
  year =                {1986},
  month =               jun,
}
[VW86] Moshe Y. Vardi et Pierre Wolper. Automata Theoretic Techniques for Modal Logics of Programs. Journal of Computer and System Sciences 32(2):183-221. Academic Press, avril 1986.
@article{jcss32(2)-VW,
  author =              {Vardi, Moshe Y. and Wolper, Pierre},
  title =               {Automata Theoretic Techniques for Modal Logics of
                         Programs},
  publisher =           {Academic Press},
  journal =             {Journal of Computer and System Sciences},
  volume =              {32},
  number =              {2},
  pages =               {183-221},
  year =                {1986},
  month =               apr,
}
[VW94] Moshe Y. Vardi et Pierre Wolper. Reasoning about Infinite Computations. Information and Computation 115(1):1-37. Academic Press, novembre 1994.
@article{icomp115(1)-VW,
  author =              {Vardi, Moshe Y. and Wolper, Pierre},
  title =               {Reasoning about Infinite Computations},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {115},
  number =              {1},
  pages =               {1-37},
  year =                {1994},
  month =               nov,
}
[VW08] Moshe Y. Vardi et Thomas Wilke. Automata: from logics to algorithms. In Jörg Flum, Erich Grädel et Thomas Wilke (eds.), Logic and Automata: History and Perspectives, Texts in Logic and Games 2, pages 629-736. Amsterdam University Press, 2008.
@incollection{la2008-ala-VW,
  author =              {Vardi, Moshe Y. and Wilke, Thomas},
  title =               {Automata: from logics to algorithms},
  editor =              {Flum, J{\"o}rg and Gr{\"a}del, Erich and Wilke,
                         Thomas},
  booktitle =           {Logic and Automata: History and Perspectives},
  publisher =           {Amsterdam University Press},
  series =              {Texts in Logic and Games},
  volume =              {2},
  pages =               {629-736},
  year =                {2008},
}
W
[Wag87] Klaus W. Wagner. More complicated questions about maxima and minima, and some closures of NP. Theoretical Computer Science 51:53-80. Elsevier, 1987.
@article{tcs51()-Wag,
  author =              {Wagner, Klaus W.},
  title =               {More complicated questions about maxima and minima,
                         and some closures of~{NP}},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {51},
  pages =               {53-80},
  year =                {1987},
}
[Wag88] Klaus W. Wagner. On Restricting the Access to an NP-Oracle. In ICALP'88, Lecture Notes in Computer Science 317, pages 682-696. Springer-Verlag, juillet 1988.
@inproceedings{icalp1988-Wag,
  author =              {Wagner, Klaus W.},
  title =               {On Restricting the Access to an NP-Oracle},
  editor =              {Lepist{\"o}, Timo and Salomaa, Arto},
  booktitle =           {{P}roceedings of the 15th {I}nternational
                         {C}olloquium on {A}utomata, {L}anguages and
                         {P}rogramming ({ICALP}'88)},
  acronym =             {{ICALP}'88},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {317},
  pages =               {682-696},
  year =                {1988},
  month =               jul,
}
[Wag90] Klaus W. Wagner. Bounded Query Classes. SIAM Journal on Computing 19(5):833-846. Society for Industrial and Applied Math., octobre 1990.
@article{siamjcomp19(5)-Wag,
  author =              {Wagner, Klaus W.},
  title =               {Bounded Query Classes},
  publisher =           {Society for Industrial and Applied Math.},
  journal =             {SIAM Journal on Computing},
  volume =              {19},
  number =              {5},
  pages =               {833-846},
  year =                {1990},
  month =               oct,
}
[Wal96] Igor Walukiewicz. Pushdown Processes: Games and Model Checking. In CAV'96, Lecture Notes in Computer Science 1102, pages 234-263. Springer-Verlag, juillet 1996.
@inproceedings{cav1996-Wal,
  author =              {Walukiewicz, Igor},
  title =               {Pushdown Processes: Games and Model Checking},
  editor =              {Alur, Rajeev and Henzinger, Thomas A.},
  booktitle =           {{P}roceedings of the 8th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'96)},
  acronym =             {{CAV}'96},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1102},
  pages =               {234-263},
  year =                {1996},
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}
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                         on {A}utomatic {V}erification {M}ethods for {F}inite
                         {S}tate {S}ystems ({CAV}'89)},
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Liste des auteurs