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, August 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, August 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, and 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, July 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, and 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, December 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, and René Peralta. Computation in Networks of Passively Mobile Finite-State Sensors. Distributed Computing 18(4):235-253. Springer-Verlag, March 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, and Amir Epstein. The price of routing unsplittable flow. In STOC'05, pages 57-66. ACM Press, May 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, and Eric Ruppert. The computational power of population protocols. Distributed Computing 20(4):279-304. Springer-Verlag, March 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, and P. S. Thiagarajan. Approximate Verification of the Symbolic Dynamics of Markov Chains. Journal of the ACM 62(1):183-235. ACM Press, February 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, and Oded Maler. Scheduling with timed automata. Theoretical Computer Science 354(2):272-300. Elsevier, March 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 and Patrick Blackburn. Bringing them all Together. Journal of Logic and Computation 11(5):657-669. Oxford University Press, October 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 and Ahmed Bouajjani. Perturbed Turing machines and hybrid systems. In LICS'01, pages 269-278. IEEE Comp. Soc. Press, June 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 and 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, and Michael Emmi. Verifying Constant-Time Implementations. In USENIX Security'16, pages 53-70. Usenix Association, August 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, and Kim Guldstrand Larsen. The Power of Reachability Testing for Timed Automata. Theoretical Computer Science 300(1-3):411-475. Elsevier, May 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, and 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, November 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, and Niklas Eén. Symbolic Reachability Analysis based on SAT Solvers. In TACAS'00, Lecture Notes in Computer Science 1785, pages 411-425. Springer-Verlag, March 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, and Martin Farach. Let Sleeping Files Lie: Pattern Matching in Z-Comporessed Files. In SODA'94, pages 705-714. ACM Press, January 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, and 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, September 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, and K. Narayan Kumar. Distributed Timed Automata with Independently Evolving Clocks. In CONCUR'08, Lecture Notes in Computer Science 5201, pages 82-97. Springer-Verlag, August 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, and Orna Kupferman. Formalizing and Reasoning about Quality. In ICALP'13, Lecture Notes in Computer Science 7966, pages 15-27. Springer-Verlag, July 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, and Orna Kupferman. Discounting in LTL. In TACAS'14, Lecture Notes in Computer Science 8413, pages 424-439. Springer-Verlag, April 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, and Orna Kupferman. Formally Reasoning about Quality. Journal of the ACM 63(3):24:1-24:56. ACM Press, September 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, and Anne Rasse. Data-Structures for the Verification of Timed Automata. In HART'97, Lecture Notes in Computer Science 1201, pages 346-360. Springer-Verlag, March 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, and Moshe Y. Vardi. Resets vs. Aborts in Linear Temporal Logic. In TACAS'03, Lecture Notes in Computer Science 2619, pages 65-80. Springer-Verlag, April 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, and Maarten Marx. A Road-Map on Complexity for Hybrid Logics. In CSL'99, Lecture Notes in Computer Science 1862, pages 307-321. Springer-Verlag, September 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, and Maarten Marx. The Computational Complexity of Hybrid Temporal Logics. Logic Journal of the IGPL 8(5):653-679. Oxford University Press, September 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, and 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, and Mitsunori Ogihara. The Complexity of Matrix Rank and Feasible Systems of Linear Equations. Technical Report 97-40, Rutgers University, New Jersey, USA, September 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, July 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 and 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, April 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, and David L. Dill. Model-Checking in Dense Real-Time. Information and Computation 104(1):2-34. Academic Press, May 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, and 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, December 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, and Thomas A. Henzinger. The Observational Power of Clocks. In CONCUR'94, Lecture Notes in Computer Science 836, pages 162-177. Springer-Verlag, August 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, and Thomas A. Henzinger. Computing Accumulated Delays in Real Time Systems. Formal Methods in System Design 11(2):137-155. Kluwer Academic, August 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, and 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, and 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, and Yih-Kuen Tsay. General Decidability Theorems for Infinite-State Systems. In LICS'96, pages 313-321. IEEE Comp. Soc. Press, July 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, and Oded Maler. A Kleene Theorem for Timed Automata. In LICS'97, pages 160-171. IEEE Comp. Soc. Press, June 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, and Joseph Sifakis. Model-based implementation of real-time applications. In EMSOFT'10, pages 229-238. ACM Press, October 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, and Miaomiao Zhang. Learning One-Clock Timed Automata. In TACAS'20 (Part I), Lecture Notes in Computer Science 12078, pages 444-462. Springer-Verlag, April 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 and Anne Dicky. An Algebraic Characterization of Transition System Equivalences. Information and Computation 82(2):198-229. Academic Press, August 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 and David L. Dill. Automata For Modeling Real-Time Systems. In ICALP'90, Lecture Notes in Computer Science 443, pages 322-335. Springer-Verlag, July 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 and David L. Dill. A Theory of Timed Automata. Theoretical Computer Science 126(2):183-235. Elsevier, April 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 and Anuj Dawar. Separating Graph Logic from MSO. In FoSSaCS'09, Lecture Notes in Computer Science 5504, pages 63-77. Springer-Verlag, March 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, and Tim Roughgarden. The Price of Stability for Network Design with Fair Cost Allocation. In FOCS'04, pages 295-304. IEEE Comp. Soc. Press, October 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, and 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, and Pritha Mahata. Multi-clock timed networks. In LICS'04, pages 345-354. IEEE Comp. Soc. Press, July 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, and Gera Weiss. On Omega-Languages Defined by Mean-Payoff Conditions. In FoSSaCS'09, Lecture Notes in Computer Science 5504. Springer-Verlag, March 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, and 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, July 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, and Doron A. Peled. Parametric Temporal Logic for "Model Measuring". ACM Transactions on Computational Logic 2(3):388-407. ACM Press, July 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, and 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, April 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, and Moshe Y. Vardi. Enhanced Vacuity Detection in Linear Temporal Logic. In CAV'03, Lecture Notes in Computer Science 2725, pages 368-380. Springer-Verlag, July 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, and Thomas A. Henzinger. The Benefits of Relaxing Punctuality. In PODC'91, pages 139-152. ACM Press, August 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, and 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, June 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, and Thomas A. Henzinger. The Benefits of Relaxing Punctuality. Journal of the ACM 43(1):116-146. ACM Press, January 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, and Thomas A. Henzinger. Event-Clock Automata: A Determinizable Class of Timed Automata. Theoretical Computer Science 211(1-2):253-273. Elsevier, January 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, and Mariëlle Stoelinga. The Element of Surprise in Timed Games. In CONCUR'03, Lecture Notes in Computer Science 2761, pages 142-156. Springer-Verlag, August 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, and Mariëlle Stoelinga. Model checking discounted temporal properties. Theoretical Computer Science 345(1):139-170. Elsevier, November 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, and 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, April 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 and 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 and 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, and 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, July 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, and Wojciech Jamroga. Alternating-time Temporal Logics with Irrevocable Strategies. In TARK'07, pages 15-24. June 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, and 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, and 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, August 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, and Orna Kupferman. Timed Network Games. In MFCS'17, Leibniz International Proceedings in Informatics 84, pages 37:1-37:16. Leibniz-Zentrum für Informatik, August 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, and 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, August 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, and 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, September 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, and Sergio Yovine. A Framework for Scheduler Synthesis. In RTSS'99, pages 154-163. IEEE Comp. Soc. Press, December 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, and Joseph Sifakis. A Methodology for the Construction of Scheduled Systems. In FTRTFT'00, Lecture Notes in Computer Science 1926, pages 106-120. Springer-Verlag, September 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 and Thomas A. Henzinger. A Really Temporal Logic. In FOCS'89, pages 164-169. IEEE Comp. Soc. Press, October 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 and 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 and Thomas A. Henzinger. Back to the Future: Towards a Theory of Timed Regular Languages. In FOCS'92, pages 177-186. IEEE Comp. Soc. Press, October 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 and Thomas A. Henzinger. Real-time Logics: Complexity and Expressiveness. Information and Computation 104(1):35-77. Academic Press, May 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 and Thomas A. Henzinger. A Really Temporal Logic. Journal of the ACM 41(1):181-203. ACM Press, January 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 and Thomas A. Henzinger. Concurrent Omera-Regular Games. In LICS'00, pages 141-154. IEEE Comp. Soc. Press, June 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 and Thomas A. Henzinger. Interface automata. In FSE'01, pages 109-120. ACM Press, September 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 and Henrik Hulgaard. Boolean Expression Diagrams. Information and Computation 179(2):194-212. Academic Press, December 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, and Pei-Hsin Ho. Automatic Symbolic Verification of Embedded Systems. IEEE Transactions on Software Engineering 22(3):181-201. IEEE Comp. Soc. Press, March 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, and Orna Kupferman. Alternating-time Temporal Logic. In FOCS'97, pages 100-109. IEEE Comp. Soc. Press, October 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, and 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, and Orna Kupferman. Concurrent Reachability Games. In FOCS'98, pages 564-575. IEEE Comp. Soc. Press, November 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, and Orna Kupferman. Alternating-time Temporal Logic. Journal of the ACM 49(5):672-713. ACM Press, September 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, and Orna Kupferman. Concurrent Reachability Games. Theoretical Computer Science 386(3):188-217. Elsevier, November 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, and Orna Kupferman. Dynamic Resource Allocation Games. In SAGT'16, Lecture Notes in Computer Science 9928, pages 153-166. Springer-Verlag, September 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, and Orna Kupferman. Dynamic Resource Allocation Games. Theoretical Computer Science 807:42-55. Elsevier, February 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, and Moshe Y. Vardi. Alternating Refinement Relations. In CONCUR'98, Lecture Notes in Computer Science 1466, pages 163-178. Springer-Verlag, September 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, and Freddy Y. C. Mang. The Control of Synchronous Systems. In CONCUR'00, Lecture Notes in Computer Science 1877, pages 458-473. Springer-Verlag, August 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, and 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, August 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, and Rupak Majumdar. Symbolic Algorithms for Infinite-State Games. In CONCUR'01, Lecture Notes in Computer Science 2154, pages 536-550. Springer-Verlag, August 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, and Rupak Majumdar. From Verification to Control: Dynamic Programs for Omega-Regular Objectives. In LICS'01, pages 279-290. IEEE Comp. Soc. Press, June 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, and Serdar Taşiran. MOCHA: Modularity in Model Checking. In CAV'98, Lecture Notes in Computer Science 1427, pages 521-525. Springer-Verlag, June 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.},
  booktitle =           {{P}roceedings of the 10th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'98)},
  acronym =             {{CAV}'98},
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  author =              {Archer, Myla and Heitmeyer, Constance L. and
                         Riccobene, Elvinia},
  title =               {Using {TAME} to prove invariants of automata models:
                         Two~case studies},
  editor =              {Heimdahl, Mats Per Erik},
  booktitle =           {{P}roceedings of the 3rd {W}orkshop on {F}ormal
                         {M}ethods in {S}oftware {P}ractice ({FMSP}'00)},
  acronym =             {{FMSP}'00},
  publisher =           {ACM Press},
  pages =               {25-36},
  year =                {2000},
  month =               aug,
  doi =                 {10.1145/349360.351127},
}
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  author =              {Alur, Rajeev and Henzinger, Thomas A. and Vardi,
                         Moshe Y.},
  title =               {Parametric Real-Time Reasoning},
  booktitle =           {{P}roceedings of the 25th {A}nnual {ACM} {S}ymposium
                         on the {T}heory of {C}omputing ({STOC}'93)},
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}
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  author =              {Adler, Micah and Immerman, Neil},
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                         {L}ogic in {C}omputer {S}cience ({LICS}'01)},
  acronym =             {{LICS}'01},
  publisher =           {IEEE Comp. Soc. Press},
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}
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@article{tocl4(3)-AI,
  author =              {Adler, Micah and Immerman, Neil},
  title =               {An {{\(n!\)}} Lower Bound On Formula Size},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {4},
  number =              {3},
  pages =               {296-314},
  year =                {2003},
  month =               jul,
}
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@article{icomp118(1)-AIKY,
  author =              {Alur, Rajeev and Itai, Alon and Kurshan, Robert P.
                         and Yannakakis, Mihalis},
  title =               {Timing Verification by Successive Approximation},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {118},
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}
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  author =              {Aceto, Luca and Ing{\'o}lfsd{\'o}ttir, Anna and
                         Pedersen, Mikkel Lykke and Poulsen, Jan},
  title =               {Characteristic Formulae for Timed Automata},
  publisher =           {EDP Sciences},
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}
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  author =              {Abdulla, Parosh Aziz and Jonsson, Bengt},
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}
[AJ99] Parosh Aziz Abdulla and Bengt Jonsson. On the Existence of Network Invariants for Verifying Parameterized Systems. In Correct System Design, Recent Insight and Advances, Lecture Notes in Computer Science 1710, pages 180-197. Springer-Verlag, 1999.
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  author =              {Abdulla, Parosh Aziz and Jonsson, Bengt},
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                         Parameterized Systems},
  editor =              {Olderog, Ernst R{\"u}diger and Steffen, Bernhard},
  booktitle =           {Correct System Design, Recent Insight and Advances},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {1710},
  pages =               {180-197},
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}
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  author =              {Abdulla, Parosh Aziz and Jonsson, Bengt},
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                         processes},
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  journal =             {Theoretical Computer Science},
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}
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                         Khalimov, Ayrat},
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  editor =              {Jobstmann, Barbara and Leino, K. Rustan M.},
  booktitle =           {{P}roceedings of the 17th {I}nternational {W}orkshop
                         on {V}erification, {M}odel {C}hecking, and
                         {A}bstract {I}nterpretation ({VMCAI}'16)},
  acronym =             {{VMCAI}'16},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {9583},
  pages =               {476-494},
  year =                {2016},
  month =               jan,
  doi =                 {10.1007/978-3-662-49122-5_23},
}
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  author =              {Aminof, Benjamin and Jacobs, Swen and Khalimov,
                         Ayrat and Rubin, Sasha},
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                         Systems},
  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 =               {262-281},
  year =                {2014},
  month =               jan,
  doi =                 {10.1007/978-3-642-54013-4_15},
}
[AJN+04] Parosh Aziz Abdulla, Bengt Jonsson, Marcus Nilsson, and Mayank Saksena. A Survey of Regular Model Checking. In CONCUR'04, Lecture Notes in Computer Science 3170, pages 35-48. Springer-Verlag, August 2004.
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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},
  series =              {Lecture Notes in Computer Science},
  volume =              {3170},
  pages =               {35-48},
  year =                {2004},
  month =               aug,
  doi =                 {10.1007/978-3-540-28644-8_3},
}
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                         concurrent systems},
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@inproceedings{csl2016-AK,
  author =              {Almagor, Shaull and Kupferman, Orna},
  title =               {High-Quality Synthesis Against Stochastic
                         Environments},
  editor =              {Talbot, Jean-Marc and Regnier, Laurent},
  booktitle =           {{P}roceedings of the 25th {EACSL} {A}nnual
                         {C}onference on {C}omputer {S}cience {L}ogic
                         ({CSL}'16)},
  acronym =             {{CSL}'16},
  publisher =           {Leibniz-Zentrum f{\"u}r Informatik},
  series =              {Leibniz International Proceedings in Informatics},
  volume =              {62},
  pages =               {28:1-28:17},
  year =                {2016},
  month =               sep,
  doi =                 {10.4230/LIPIcs.CSL.2016.28},
}
[AKK15] Shaull Almagor, Denis Kuperberg, and Orna Kupferman. The Sensing Cost of Monitoring and Synthesis. In FSTTCS'15, Leibniz International Proceedings in Informatics 45, pages 380-393. Leibniz-Zentrum für Informatik, December 2015.
@inproceedings{fsttcs2015-AKK,
  author =              {Almagor, Shaull and Kuperberg, Denis and Kupferman,
                         Orna},
  title =               {The~Sensing Cost of Monitoring and Synthesis},
  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 =               {380-393},
  year =                {2015},
  month =               dec,
  doi =                 {10.4230/LIPIcs.FSTTCS.2015.380},
}
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  author =              {Abdedda{\"\i}m, Yasmina and Kerbaa, Abdelkarim and
                         Maler, Oded},
  title =               {Task Graph Scheduling Using Timed Automata},
  booktitle =           {{P}roceedings of the 17th International Parallel and
                         Distributed Processing Symposium ({IPDPS}'03)},
  acronym =             {{IPDPS}'03},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {237},
  year =                {2003},
  month =               apr,
}
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@inproceedings{ijcai2018-AKP,
  author =              {Almagor, Shaull and Kupferman, Orna and Perelli,
                         Giuseppe},
  title =               {Synthesis of Controllable {N}ash Equilibria in
                         Quantitative Objective Games},
  editor =              {Lang, J{\'e}r{\^o}me},
  booktitle =           {{P}roceedings of the 27th {I}nternational {J}oint
                         {C}onference on {A}rtificial {I}ntelligence
                         ({IJCAI}'18)},
  acronym =             {{IJCAI}'18},
  publisher =           {IJCAI organization},
  pages =               {35-41},
  year =                {2018},
  month =               jul,
  doi =                 {10.24963/ijcai.2018/5},
}
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  author =              {Aminof, Benjamin and Kotek, Tomer and Rubin, Sasha
                         and Spegni, Francesco and Veith, Helmut},
  title =               {Parameterized Model Checking of Rendezvous Systems},
  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 =               {109-124},
  year =                {2014},
  month =               sep,
  doi =                 {10.1007/978-3-662-44584-6_9},
}
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  author =              {Almagor, Shaull and Kupferman, Orna and Ringert, Jan
                         Oliver and Velner, Yaron},
  title =               {Quantitative Assume Guarantee Synthesis},
  editor =              {Majumdar, Rupak and Kuncak, Viktor},
  booktitle =           {{P}roceedings of the 29th {I}nternational
                         {C}onference on {C}omputer {A}ided {V}erification
                         ({CAV}'17)},
  acronym =             {{CAV}'17},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {10427},
  pages =               {353-374},
  year =                {2017},
  month =               jul,
  doi =                 {10.1007/978-3-319-63390-9_19},
}
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  author =              {Alur, Rajeev and Kurshan, Robert P. and Viswanathan,
                         Mahesh},
  title =               {Membership Question for Timed and Hybrid Automata},
  booktitle =           {{P}roceedings of the 19th {S}ymposium on {R}eal-Time
                         {S}ystems ({RTSS}'98)},
  acronym =             {{RTSS}'98},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {254-263},
  year =                {1998},
  month =               dec,
}
[AKY10] Parosh Aziz Abdulla, Pavel Krčál, and Wang Yi. Sampled Semantics of Timed Automata. Logical Methods in Computer Science 6(3). September 2010.
@article{lmcs6(3)-AJ,
  author =              {Abdulla, Parosh Aziz and Kr{\v{c}}{\'a}l, Pavel and
                         Yi, Wang},
  title =               {Sampled Semantics of Timed Automata},
  journal =             {Logical Methods in Computer Science},
  volume =              {6},
  number =              {3},
  year =                {2010},
  month =               sep,
  doi =                 {10.2168/LMCS-6(3:14)2010},
}
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  author =              {Abadi, Mart{\'\i}n and Lamport, Leslie},
  title =               {An old-fashioned recipe for real time},
  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 =               {1-27},
  year =                {1992},
  confyear =            {1991},
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}
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@article{jlap52-53()-AL,
  author =              {Aceto, Luca and Laroussinie, Fran{\c c}ois},
  title =               {Is your Model Checker on Time?},
  publisher =           {Elsevier},
  journal =             {Journal of Logic and Algebraic Programming},
  volume =              {52-53},
  pages =               {3-51},
  year =                {2002},
  month =               jun,
}
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  author =              {Alur, Rajeev and La{~}Torre, Salvatore},
  title =               {Deterministic Generators and Games for {LTL}
                         Fragments},
  publisher =           {ACM Press},
  journal =             {ACM Transactions on Computational Logic},
  volume =              {5},
  number =              {1},
  pages =               {297-322},
  year =                {2004},
  month =               jan,
}
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  author =              {Allender, Eric},
  title =               {{P}-Uniform Circuit Complexity},
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@article{sigact-news28(4)-All,
  author =              {Allender, Eric},
  title =               {Making Computation Count: Arithmetic Circuits in the
                         Nineties},
  publisher =           {ACM Press},
  journal =             {SIGACT News},
  volume =              {28},
  number =              {4},
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}
[ALM03] Rajeev Alur, Salvatore La Torre, and Parthasarathy Madhusudan. Playing Games with Boxes and Diamonds. In CONCUR'03, Lecture Notes in Computer Science 2761, pages 127-141. Springer-Verlag, August 2003.
@inproceedings{concur2003-ALM,
  author =              {Alur, Rajeev and La{~}Torre, Salvatore and
                         Madhusudan, Parthasarathy},
  title =               {Playing Games with Boxes and Diamonds},
  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 =               {127-141},
  year =                {2003},
  month =               aug,
}
[ALM05] Rajeev Alur, Salvatore La Torre, and Parthasarathy Madhusudan. Perturbed Timed Automata. In HSCC'05, Lecture Notes in Computer Science 3414, pages 70-85. Springer-Verlag, March 2005.
@inproceedings{hscc2005-ALM,
  author =              {Alur, Rajeev and La{~}Torre, Salvatore and
                         Madhusudan, Parthasarathy},
  title =               {Perturbed Timed Automata},
  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},
  pages =               {70-85},
  year =                {2005},
  month =               mar,
}
[ALM20] Étienne André, Didier Lime, and Nicolas Markey. Language-preservation problems in parametric timed automata. Logical Methods in Computer Science 16(1). January 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/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, and Abdur Rakib. Resource-bounded alternating-time temporal logic. In AAMAS'10, pages 481-488. International Foundation for Autonomous Agents and Multiagent Systems, May 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, and George J. Pappas. Optimal paths in weighted timed automata. In HSCC'01, Lecture Notes in Computer Science 2034, pages 49-62. Springer-Verlag, March 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, and George J. Pappas. Optimal paths in weighted timed automata. Theoretical Computer Science 318(3):297-322. Elsevier, June 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, and Kenneth W. Regan. Complexity Classes. In Mikhail J. Atallah (eds.), Handbook of Algorithms and Theory of Computation. CRC Press, November 1998.
@incollection{hatc1998-ALRa,
  author =              {Allender, Eric and Loui, Michael C. and Regan,
                         Kenneth W.},
  title =               {Complexity Classes},
  editor =              {Atallah, Mikhail J.},
  booktitle =           {Handbook of Algorithms and Theory of Computation},
  publisher =           {CRC Press},
  pages =               {27.1-27.23},
  year =                {1998},
  month =               nov,
}
[ALR98] Eric Allender, Michael C. Loui, and Kenneth W. Regan. Reducibility and Completeness. In Mikhail J. Atallah (eds.), Handbook of Algorithms and Theory of Computation. CRC Press, November 1998.
@incollection{hatc1998-ALRb,
  author =              {Allender, Eric and Loui, Michael C. and Regan,
                         Kenneth W.},
  title =               {Reducibility and Completeness},
  editor =              {Atallah, Mikhail J.},
  booktitle =           {Handbook of Algorithms and Theory of Computation},
  publisher =           {CRC Press},
  pages =               {28.1-28.28},
  year =                {1998},
  month =               nov,
}
[ALR98] Eric Allender, Michael C. Loui, and Kenneth W. Regan. Other Complexity Classes and Measures. In Mikhail J. Atallah (eds.), Handbook of Algorithms and Theory of Computation. CRC Press, November 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, July 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,
}
[ALV01] Roberto Amadio, Denis Lugiez, and Vincent Vanackère. On the Symbolic Reduction of Processes with Cryptographic Functions. Technical Report 4147, INRIA, March 2001.
@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, and Pierre Wolper. Realizable and Unrealizable Specifications of Reactive Systems. In ICALP'89, Lecture Notes in Computer Science 372, pages 1-17. Springer-Verlag, July 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},
  pages =               {1-17},
  year =                {1989},
  month =               jul,
  doi =                 {10.1007/BFb0035748},
}
[AM99] Eugene Asarin and 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, March 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 and Oded Maler. Job-Shop Scheduling Using Timed Automata. In CAV'01, Lecture Notes in Computer Science 2102, pages 478-492. Springer-Verlag, July 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 and Oded Maler. Preemptive Job-Shop Scheduling using Stopwatch Automata. In TACAS'02, Lecture Notes in Computer Science 2280, pages 113-126. Springer-Verlag, April 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 and Parthasarathy Madhusudan. Decision Problems for Timed Automata: A Survey. In SFM-RT'04, Lecture Notes in Computer Science 3185, pages 1-24. Springer-Verlag, September 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 and Nicolas Markey. Language Preservation Problems in Parametric Timed Automata. In FORMATS'15, Lecture Notes in Computer Science 9268, pages 27-43. Springer-Verlag, September 2015.
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.

@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, and 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, May 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, and Sasha Rubin. Graded modalities in Strategy Logic. Information and Computation 261(4):634-649. Elsevier, August 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, and 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, and 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, and 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, September 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, and Jan Oliver Ringert. Energy μ-Calculus: Symbolic Fixed-Point Algorithms for ω-Regular Energy Games. Technical Report 2005.00641, arXiv, May 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, and Joseph Sifakis. Controller Synthesis for Timed Automata. In SSC'98, pages 469-474. Elsevier, July 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, and Stavros Tripakis. Implémentabilité des automates temporisés. In MSR'05, pages 395-406. Hermès, October 2005.
@inproceedings{msr2005-AMRT,
  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},
}
[AN80] André Arnold and Maurice Nivat. The metric space of infinite trees. Algebraic and topological properties. Fundamenta Informaticae 3(4):445-476. IOS Press, 1980.
@article{fundi3(4)-AN,
  author =              {Arnold, Andr{\'e} and Nivat, Maurice},
  title =               {The metric space of infinite trees. Algebraic and
                         topological properties},
  publisher =           {IOS Press},
  journal =             {Fundamenta Informaticae},
  volume =              {3},
  number =              {4},
  pages =               {445-476},
  year =                {1980},
}
[AN01] André Arnold and Damian Niwiński. Complete lattices and fixed-point theorems. In Rudiments of μ-calculus, Studies in Logic and the Foundations of Mathematics 146, pages 1-39. North-Holland, 2001.
@incollection{Rmc2001-ANa,
  author =              {Arnold, Andr{\'e} and Niwi{\'n}ski, Damian},
  title =               {Complete lattices and fixed-point theorems},
  booktitle =           {Rudiments of {\(\mu\)}-calculus},
  publisher =           {North-Holland},
  series =              {Studies in Logic and the Foundations of Mathematics},
  volume =              {146},
  pages =               {1-39},
  chapter =             {1},
  year =                {2001},
}
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@inproceedings{lics1995-And,
  author =              {Andersen, Henrik Reif},
  title =               {Partial Model-Checking (Extended Abstract)},
  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 =               {398-407},
  year =                {1995},
  month =               jun,
  doi =                 {10.1109/LICS.1995.523274},
}
[And06] Daniel Andersson. An improved algorithm for discounted payoff games. In Proceedings of the 11th ESSLLI Student Session, pages 91-98. August 2006.
@inproceedings{esslli2006-students-And,
  author =              {Andersson, Daniel},
  title =               {An improved algorithm for discounted payoff games},
  editor =              {Huitink, Janneke and Katrenko, Sophia},
  booktitle =           {{P}roceedings of the 11th {ESSLLI} {S}tudent
                         {S}ession},
  pages =               {91-98},
  year =                {2006},
  month =               aug,
}
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@article{tcs12()-Ang,
  author =              {Angluin, Dana},
  title =               {On Counting Problems and the Polynomial Hierarchy},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {12},
  pages =               {161-173},
  year =                {1980},
}
[Ang87] Dana Angluin. Learning regular sets from queries and counterexamples. Information and Computation 75(2):87-106. Academic Press, November 1987.
@article{icomp75(2)-Ang,
  author =              {Angluin, Dana},
  title =               {Learning regular sets from queries and
                         counterexamples},
  publisher =           {Academic Press},
  journal =             {Information and Computation},
  volume =              {75},
  number =              {2},
  pages =               {87-106},
  year =                {1987},
  month =               nov,
  doi =                 {10.1016/0890-5401(87)90052-6},
}
[AO96] Eric Allender and Mitsunori Ogihara. Relationships Among PL, #;L, and the Determinant. RAIRO – Theoretical Informatics and Applications 30(1):1-21. EDP Sciences, 1996.
@article{rairo-tia30(1)-AO,
  author =              {Allender, Eric and Ogihara, Mitsunori},
  title =               {Relationships Among {PL}, {\#L}, and the
                         Determinant},
  publisher =           {EDP Sciences},
  journal =             {RAIRO~-- Theoretical Informatics and Applications},
  volume =              {30},
  number =              {1},
  pages =               {1-21},
  year =                {1996},
}
[AP06] Horacio Arló-Costa and Eric Pacuit. First-Order Classical Modal Logic. Studia Logica 84(2):171-210. Kluwer Academic, November 2006.
@article{studlog84(2)-AP,
  author =              {Arl{\'o}{-}Costa, Horacio and Pacuit, Eric},
  title =               {First-Order Classical Modal Logic},
  publisher =           {Kluwer Academic},
  journal =             {Studia Logica},
  volume =              {84},
  number =              {2},
  pages =               {171-210},
  year =                {2006},
  month =               nov,
  doi =                 {10.1007/s11225-006-9010-0},
}
[APT79] Bengt Aspvall, Michael F. Plass, and Robert Endre Tarjan. A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean Formulas. Information Processing Letters 8(3):121-123. Elsevier, March 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, and Robert Endre Tarjan. Erratum (A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean Formulas). Information Processing Letters 14(4):195. Elsevier, June 1982.
@article{ipl14(4)-APT,
  author =              {Aspvall, Bengt and Plass, Michael F. and Tarjan,
                         Robert Endre},
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}
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                         Florian},
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                         in Parameterised Systems},
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                         Annabelle K. and Voronkov, Andrei},
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                         {C}onference {L}ogic {P}rogramming and {A}utomated
                         {R}easoning ({LPAR}'15)},
  acronym =             {{LPAR}'15},
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  series =              {Lecture Notes in Computer Science},
  volume =              {9450},
  pages =               {313-328},
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}
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                         r}et{\'\i}nsk{\'y}, Mojm{\'\i}r and Ku{\v c}era,
                         Anton{\'\i}n},
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                         ({CONCUR}'02)},
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}
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                         Sangiovani{-}Vincentelli, Alberto L.},
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                         on {H}ybrid {S}ystems: {C}omputation and {C}ontrol
                         ({HSCC}'01)},
  acronym =             {{HSCC}'01},
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  series =              {Lecture Notes in Computer Science},
  volume =              {2034},
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}
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                         part~{I}: Reachability},
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                         Semantics or Modeling?},
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                         {C}onferences on {F}ormal {M}odelling and {A}nalysis
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  author =              {Alur, Rajeev and Tripakis, Stavros},
  title =               {Automatic Synthesis of Distributed Protocols},
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  journal =             {SIGACT News},
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  year =                {2017},
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}
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                         {L}ogic in {C}omputer {S}cience ({LICS}'02)},
  acronym =             {{LICS}'02},
  publisher =           {IEEE Comp. Soc. Press},
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}
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                         Walukiewicz, Igor},
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  journal =             {Theoretical Computer Science},
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  pages =               {7-34},
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}
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                         Miaomiao},
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B
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                         {W}orkshop in {F}ormal {M}ethods for {I}ndustrial
                         {C}ritical {S}ystems ({FMICS}'02)},
  acronym =             {{FMICS}'02},
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  author =              {Berwanger, Dietmar and Blumensath, Achim},
  title =               {The Monadic Theory of Tree-like Structures},
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                         Thomas},
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}
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                         Systems},
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                         on {F}ormal {A}pproaches to {S}oftware {T}esting
                         ({FATES}'04)},
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  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {3395},
  pages =               {64-78},
  year =                {2004},
  month =               sep,
  doi =                 {10.1007/978-3-540-31848-4_5},
}
[BBB+09] Christel Baier, Nathalie Bertrand, Patricia Bouyer, and Thomas Brihaye. When are timed automata determinizable?. In ICALP'09, Lecture Notes in Computer Science 5556, pages 43-54. Springer-Verlag, July 2009.
@inproceedings{icalp2009-BBBB,
  author =              {Baier, {\relax Ch}ristel and Bertrand, Nathalie and
                         Bouyer, Patricia and Brihaye, {\relax Th}omas},
  title =               {When are timed automata determinizable?},
  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 =               {43-54},
  year =                {2009},
  month =               jul,
  doi =                 {10.1007/978-3-642-02930-1_4},
}
[BBB+07] Christel Baier, Nathalie Bertrand, Patricia Bouyer, Thomas Brihaye, and Marcus Größer. Probabilistic and Topological Semantics for Timed Automata. In FSTTCS'07, Lecture Notes in Computer Science 4855, pages 179-191. Springer-Verlag, December 2007.
@inproceedings{fsttcs2007-BBBBG,
  author =              {Baier, {\relax Ch}ristel and Bertrand, Nathalie and
                         Bouyer, Patricia and Brihaye, {\relax Th}omas and
                         Gr{\"o}{\ss}er, Marcus},
  title =               {Probabilistic and Topological Semantics for Timed
                         Automata},
  editor =              {Arvind, Vikraman and Prasad, Sanjiva},
  booktitle =           {{P}roceedings of the 27th {C}onference on
                         {F}oundations of {S}oftware {T}echnology and
                         {T}heoretical {C}omputer {S}cience ({FSTTCS}'07)},
  acronym =             {{FSTTCS}'07},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {4855},
  pages =               {179-191},
  year =                {2007},
  month =               dec,
}
[BBB+08] Christel Baier, Nathalie Bertrand, Patricia Bouyer, Thomas Brihaye, and Marcus Größer. Almost-sure Model Checking of Infinite Paths in One-clock Timed Automata. In LICS'08, pages 217-226. IEEE Comp. Soc. Press, June 2008.
@inproceedings{lics2008-BBBBG,
  author =              {Baier, {\relax Ch}ristel and Bertrand, Nathalie and
                         Bouyer, Patricia and Brihaye, {\relax Th}omas and
                         Gr{\"o}{\ss}er, Marcus},
  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)},
  acronym =             {{LICS}'08},
  publisher =           {IEEE Comp. Soc. Press},
  pages =               {217-226},
  year =                {2008},
  month =               jun,
  doi =                 {10.1109/LICS.2008.25},
}
[BBB+07] Éric Badouel, Marek Bednarczyk, Andrzej Borzyszkowski, Benoît Caillaud, and Philippe Darondeau. Concurrent secrets. Discrete Event Dynamic Systems 17(4):425-446. Kluwer Academic, December 2007.
@article{deds17(4)-BBBCD,
  author =              {Badouel, {\'E}ric and Bednarczyk, Marek and
                         Borzyszkowski, Andrzej and Caillaud, Beno{\^\i}t and
                         Darondeau, Philippe},
  title =               {Concurrent secrets},
  publisher =           {Kluwer Academic},
  journal =             {Discrete Event Dynamic Systems},
  volume =              {17},
  number =              {4},
  pages =               {425-446},
  year =                {2007},
  month =               dec,
  doi =                 {10.1007/s10626-007-0020-5},
}
[BBB+08] Nathalie Bertrand, Patricia Bouyer, Thomas Brihaye, and Nicolas Markey. Quantitative Model-Checking of One-Clock Timed Automata under Probabilistic Semantics. In QEST'08, pages 55-64. IEEE Comp. Soc. Press, September 2008.
Abstract

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, and Marcin Jurdziński. Stochastic Timed Automata. Logical Methods in Computer Science 10(4). December 2014.
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  author =              {Bertrand, Nathalie and Bouyer, Patricia and Brihaye,
                         {\relax Th}omas and Menet, Quentin and Baier,
                         {\relax Ch}ristel and Gr{\"o}{\ss}er, Marcus and
                         Jurdzi{\'n}ski, Marcin},
  title =               {Stochastic Timed Automata},
  journal =             {Logical Methods in Computer Science},
  volume =              {10},
  number =              {4},
  year =                {2014},
  month =               dec,
  doi =                 {10.2168/LMCS-10(4:6)2014},
}
[BBB+07] Patricia Bouyer, Thomas Brihaye, Véronique Bruyère, and Jean-François Raskin. On the Optimal Reachability Problem of Weighted Timed Automata. Formal Methods in System Design 31(2):135-175. Springer-Verlag, October 2007.
@article{fmsd31(2)-BBBR,
  author =              {Bouyer, Patricia and Brihaye, {\relax Th}omas and
                         Bruy{\`e}re, V{\'e}ronique and Raskin, Jean-Fran{\c
                         c}ois},
  title =               {On the Optimal Reachability Problem of Weighted
                         Timed Automata},
  publisher =           {Springer-Verlag},
  journal =             {Formal Methods in System Design},
  volume =              {31},
  number =              {2},
  pages =               {135-175},
  year =                {2007},
  month =               oct,
  doi =                 {10.1007/s10703-007-0035-4},
}
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  title =               {{\'E}l{\'e}ments d'algorithmique},
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[BBC10] Albert Benveniste, Anne Bouillard, and Paul Caspi. A unifying view of loosely time-triggered architectures. In EMSOFT'10, pages 189-198. ACM Press, October 2010.
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  author =              {Benveniste, Albert and Bouillard, Anne and Caspi,
                         Paul},
  title =               {A~unifying view of loosely time-triggered
                         architectures},
  editor =              {Carloni, Luca P. and Tripakis, Stavros},
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                         {C}onference on {E}mbedded {S}oftware ({EMSOFT}'10)},
  acronym =             {{EMSOFT}'10},
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  pages =               {189-198},
  year =                {2010},
  month =               oct,
  doi =                 {10.1145/1879021.1879047},
}
[BBD14] Thomas Brihaye, Véronique Bruyère, and Julie De Pril. On Equilibria in Quantitative Games with Reachability/Safety Objectives. Theory of Computing Systems 54(2):150-189. Springer-Verlag, February 2014.
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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, and Jean-François Raskin. Antichain-based QBF Solving. In ATVA'11, Lecture Notes in Computer Science 6996, pages 183-197. Springer-Verlag, October 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, and Hugo Gimbert. Subgame Perfection for Equilibria in Quantitative Reachability Games. In FoSSaCS'12, Lecture Notes in Computer Science 7213, pages 286-300. Springer-Verlag, March 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, and Wang Yi. UPPAAL Implementation Secrets. In FTRTFT'02, Lecture Notes in Computer Science 2469, pages 3-22. Springer-Verlag, September 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, and Antonín Kučera. Stochastic Games with Branching-Time Winning Objectives. In LICS'06, pages 349-358. IEEE Comp. Soc. Press, July 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, and Kim Guldstrand Larsen. Static Guard Analysis in Timed Automata Verification. In TACAS'03, Lecture Notes in Computer Science 2619, pages 254-270. Springer-Verlag, April 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, and 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, July 2018.
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.

@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, and Pierre-Alain Reynier. Optimal and Robust Controller Synthesis Using Energy Timed Automata with Uncertainty. Formal Aspects of Computing 33(1):3-25. Springer-Verlag, January 2021.
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.

@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, and 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, and 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, March 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, and Antonín Kučera. Stochastic Game Logic. In QEST'07, pages 227-236. IEEE Comp. Soc. Press, September 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, and Antonín Kučera. Stochastic Game Logic. Acta Informatica 49(4):203-224. Springer-Verlag, June 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, and 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, August 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, and 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, October 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, and Kim Guldstrand Larsen. Staying Alive as Cheaply as Possible. In HSCC'04, Lecture Notes in Computer Science 2993, pages 203-218. Springer-Verlag, March 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, and Kim Guldstrand Larsen. Optimal infinite scheduling for multi-priced timed automata. Formal Methods in System Design 32(1):2-23. Springer-Verlag, February 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, and Radu Mardare. Computing Behavioral Distances, Compositionally. In MFCS'13, Lecture Notes in Computer Science 8087, pages 74-85. Springer-Verlag, August 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, and Radu Mardare. The BisimDist Library: Efficient Computation of Bisimilarity Distances for Markovian Models. In QEST'13, pages 278-281. IEEE Comp. Soc. Press, August 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, and 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, March 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, and 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, June 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, and Jiří Srba. Language Emptiness of Continuous-Time Parametric Timed Automata. In ICALP'15, Lecture Notes in Computer Science 9135, pages 69-81. Springer-Verlag, July 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, and Oded Maler. On Interleaving in Timed Automata. In CONCUR'06, Lecture Notes in Computer Science 4137, pages 465-476. Springer-Verlag, August 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, and Nicolas Markey. Improved Undecidability Results on Weighted Timed Automata. Information Processing Letters 98(5):188-194. Elsevier, June 2006.
Abstract

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, and 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, September 2010.
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.

@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, and 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, September 2010.
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.

@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, and 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, April 2018.
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 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, and 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, September 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, and 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, December 2011.
Abstract

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, and Michael Ummels. Concurrent games with ordered objectives. In FoSSaCS'12, Lecture Notes in Computer Science 7213, pages 301-315. Springer-Verlag, March 2012.
Abstract

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, and Michael Ummels. Pure Nash Equilibria in Concurrent Games. Logical Methods in Computer Science 11(2:9). June 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, 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, and Jean-François Raskin. Model-checking for weighted timed automata. In FORMATS-FTRTFT'04, Lecture Notes in Computer Science 3253, pages 277-292. Springer-Verlag, September 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, and Jean-François Raskin. On Optimal Timed Strategies. In FORMATS'05, Lecture Notes in Computer Science 3829, pages 49-64. Springer-Verlag, September 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, and Jitka Stříbrná. Distributed LTL Model-Checking in SPIN. In SPIN'01, Lecture Notes in Computer Science 2057, pages 200-216. Springer-Verlag, May 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 and Alessandro Cimatti. Bounded Model Checking for Past LTL. In TACAS'03, Lecture Notes in Computer Science 2619, pages 18-33. Springer-Verlag, April 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 and 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 and Fabrice Chevalier. On the Control of Timed and Hybrid Systems. EATCS Bulletin 89:79-96. EATCS, June 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 and Jakub Chaloupka. Using Strategy Improvement to Stay Alive. Technical Report FIMU-RS-2010-03, Faculty of Informatics, Masaryk University, Brno, Czech Republic, March 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, and 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, and 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, and Yunshan Zhu. Symbolic Model Checking without BDDs. In TACAS'99, Lecture Notes in Computer Science 1579, pages 193-207. Springer-Verlag, March 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, and Deepak D'Souza. Fault Diagnosis Using Timed Automata. In FoSSaCS'05, Lecture Notes in Computer Science 3441, pages 219-233. Springer-Verlag, April 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, and Didier Lime. UPPAAL-Tiga: Time for Playing Games!. In CAV'07, Lecture Notes in Computer Science 4590, pages 121-125. Springer-Verlag, July 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, and Jean-François Raskin. Faster algorithms for mean-payoff games. Formal Methods in System Design 38(2):97-118. Springer-Verlag, April 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, and Nicolas Turro. The ORCCAD Architecture. International Journal of Robotics Research 17(4):338-359. April 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, and Lance Fortnow. One Bit of Advice. In STACS'03, Lecture Notes in Computer Science 2607, pages 547-558. Springer-Verlag, February 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, and Kim Guldstrand Larsen. Optimal Strategies in Priced Timed Game Automata. In FSTTCS'04, Lecture Notes in Computer Science 3328, pages 148-160. Springer-Verlag, December 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, and Kim Guldstrand Larsen. Optimal Strategies in Priced Timed Games. Research Report RS-04-4, Basic Research in Computer Science, Aalborg University, Denmark, February 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, and Orna Grumberg. Characterizing Finite Kripke Structures in Propositional Temporal Logic. Theoretical Computer Science 59(1-2):115-131. Elsevier, July 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, and Vijaya Ramachandran. An Optimal Parallel Algorithm for Formula Evaluation. SIAM Journal on Computing 21(4):755-780. Society for Industrial and Applied Math., August 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, and Orna Kupferman. Temporal Specifications with Accumulative Values. In LICS'11, pages 43-52. IEEE Comp. Soc. Press, June 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, and Orna Kupferman. Temporal Specifications with Accumulative Values. ACM Transactions on Computational Logic 15(4):27:1-27:25. ACM Press, August 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, and 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, December 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, and Nicolas Markey. On the Expressiveness of TPTL and MTL. In FSTTCS'05, Lecture Notes in Computer Science 3821, pages 432-443. Springer-Verlag, December 2005.
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 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, and Nicolas Markey. On the Expressiveness of TPTL and MTL. Information and Computation 208(2):97-116. Elsevier, February 2010.
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 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, and Nicolas Markey. Symbolic Optimal Reachability in Weighted Timed Automata. In CAV'16, Lecture Notes in Computer Science 9779, pages 513-530. Springer-Verlag, July 2016.
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.

@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, and L. J. Hwang. Symbolic model checking: 1020 states and beyond. Information and Computation 98(2):142-170. Academic Press, June 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, and 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, and Yunshan Zhu. Combining Local and Global Model Checking. In SMC'99, Electronic Notes in Theoretical Computer Science 23(2). Elsevier, July 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 and Catherine Dufourd. Timed Automata and Additive Clock Constraints. Information Processing Letters 75(1-2):1-7. Elsevier, July 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, and Antoine Petit. Updatable timed Automata. Theoretical Computer Science 321(2-3):291-345. Elsevier, August 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, and Hugo Gimbert. Controlling a population. In CONCUR'17, Leibniz International Proceedings in Informatics 85, pages 12:1-12:16. Leibniz-Zentrum für Informatik, September 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, and James Worrell. On Reachability for Hybrid Automata over Bounded Time. In ICALP'11, Lecture Notes in Computer Science 6756, pages 416-427. Springer-Verlag, July 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, and Antoine Petit. Characterization of the Expressive Power of Silent Transitions in Timed Automata. Fundamenta Informaticae 36(2-3):145-182. IOS Press, November 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, and Stephan Kreutzer. DAG-Width and Parity Games. In STACS'06, Lecture Notes in Computer Science 3884, pages 524-536. Springer-Verlag, February 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, and 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. July 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, and Kim Guldstrand Larsen. A Tutorial on Uppaal. In SFM-RT'04, Lecture Notes in Computer Science 3185, pages 200-236. Springer-Verlag, September 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, and Martin Leucker. Frequency Linear-time Temporal Logic. In TASE'12, pages 85-92. IEEE Comp. Soc. Press, July 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, and Martijn Hendriks. UPPAAL 4.0. In QEST'06, pages 125-126. IEEE Comp. Soc. Press, September 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, and Guangyuan Li. Efficient Controller Synthesis for a fragment of MTL0,&infin. Acta Informatica 51(3-4):165-192. Springer-Verlag, June 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, and 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, March 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, and Danny Bøgsted Poulsen. Checking and Distributing Statistical Model Checking. In NFM'12, Lecture Notes in Computer Science 7226, pages 449-463. Springer-Verlag, April 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, and Nicolas Markey. ATL with Strategy Contexts and Bounded Memory. In LFCS'09, Lecture Notes in Computer Science 5407, pages 92-106. Springer-Verlag, January 2009.
Abstract

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, and Denis Thérien. Circuit and Expressions with Non-Associative Gates. In CoCo'97, pages 193-203. IEEE Comp. Soc. Press, June 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, and Wang Yi. Developing UPPAAL over 15 years. Software – Practice and Experience 41(2):133-142. IEEE Comp. Soc. Press, February 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, and Antoine Petit. Timed Control with Partial Observability. In CAV'03, Lecture Notes in Computer Science 2725, pages 180-192. Springer-Verlag, July 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, and Gabriel Renault. Measuring Permissivity in Finite Games. In CONCUR'09, Lecture Notes in Computer Science 5710, pages 196-210. Springer-Verlag, September 2009.
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 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, and 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, February 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, and Richard St-Denis. Control of Parameterized Discrete Event Systems. Discrete Event Dynamic Systems 19(2):213-165. Kluwer Academic, June 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, January 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, November 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, and 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, March 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},
}
[BEK18] Michael Blondin, Javier Esparza, and Antonín Kučera. Automatic Analysis of Expected Termination Time for Population Protocols. In CONCUR'18, Leibniz International Proceedings in Informatics 118, pages 33:1-33:16. Leibniz-Zentrum für Informatik, September 2018.
@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},
  publisher =           {Princeton University Press},
  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, September 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, and 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, July 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, and 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. August 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 and Vojtěch Forejt. Reachability in Stochastic Timed Games. In ICALP'09, Lecture Notes in Computer Science 5556, pages 103-114. Springer-Verlag, July 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 and 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, and Elliot Anshelevich. A Stackelberg strategy for routing flow over time. Games and Economic Behavior 92:232-247. July 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, and 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, August 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, and Olivier Serre. Alternating Tree Automata with Qualitative Semantics. Technical Report 2002-03664, arXiv, February 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, and Olivier Serre. Alternating Tree Automata with Qualitative Semantics. ACM Transactions on Computational Logic 22(1):7:1-7:24. ACM Press, January 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, and Luca Moscardelli. Graphical congestion games. Algorithmica 61(2):274-297. Springer-Verlag, October 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, and Markus Holzer. Symmetries and the complexity of pure Nash equilibrium. Journal of Computer and System Sciences 75(3):163-177. Elsevier, May 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, and 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, and Judi Romijn. Efficient Guiding Towards Cost-Optimality in UPPAAL. In TACAS'01, Lecture Notes in Computer Science 2031, pages 174-188. Springer-Verlag, April 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, and Frits Vaandrager. Minimum-Cost Reachability for Priced Timed Automata. In HSCC'01, Lecture Notes in Computer Science 2034, pages 147-161. Springer-Verlag, March 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, and Nicolas Markey. Timed Automata with Observers under Energy Constraints. In HSCC'10, pages 61-70. ACM Press, April 2010.
Abstract

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, and Nicolas Markey. Quantitative analysis of real-time systems using priced timed automata. Communications of the ACM 54(9):78-87. ACM Press, September 2011.
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.

@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, and James Worrell. Model Checking Real-Time Systems. In Edmund M. Clarke, Thomas A. Henzinger, Helmut Veith, and Roderick Bloem (eds.), Handbook of Model Checking. Springer-Verlag, May 2018.
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).

@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, and 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, September 2008.
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 (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, and 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, September 2015.
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.

@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, and Nicolas Markey. Synchronizing words under LTL constraints. Information Processing Letters 182. Elsevier, August 2023.
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 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, and Robert Endre Tarjan. Time Bounds for Selection. Journal of Computer and System Sciences 7(4):448-461. Academic Press, August 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, and Arnaud Sangnier. Playing with Probabilities in Reconfigurable Broadcast Networks. In FoSSaCS'14, Lecture Notes in Computer Science 8412, pages 134-148. Springer-Verlag, April 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, and Arnaud Sangnier. Distributed Local Strategies in Broadcast Networks. In CONCUR'15, Leibniz International Proceedings in Informatics 42, pages 44-57. Leibniz-Zentrum für Informatik, September 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 and Yuri Gurevich. The Decision Problem for Linear Temporal Logic. Notre Dame Journal of Formal Logic 26(2):115-128. April 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 and 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, August 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 and 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, July 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 and Patrice Godefroid. Temporal Logic Query Checking (Extended Abstract). In LICS'01, pages 409-417. IEEE Comp. Soc. Press, June 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 and Georg Gottlob. Propositional Default Logics made Easier: Computational Complexity of Model Checking. Theoretical Computer Science 289(1):591-627. Elsevier, October 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 and Étienne Grandjean. The Minimal Logically-Defined NP-Complete Problem. In STACS'04, Lecture Notes in Computer Science 2996, pages 338-349. Springer-Verlag, March 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 and Erich Grädel. Fixed-Point Logics and Solitaire Games. Theory of Computing Systems 37(6):675-694. Springer-Verlag, December 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 and 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, March 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 and 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, December 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 and 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. March 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, and Hugo Gimbert. Qualitative Determinacy and Decidability of Stochastic Games with Signals. Journal of the ACM 64(5):33:1-33:48. ACM Press, October 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, and Emmanuel Hainry. Computation with perturbed dynamical systems. Journal of Computer and System Sciences 79(5):714-724. Elsevier, August 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, and Barbara Jobstmann. Synthesizing robust systems. In FMCAD'09, pages 85-92. IEEE Comp. Soc. Press, November 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, and 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, December 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, and Benjamin Monmege. Pseudopolynomial iterative algorithm to solve total-payoff games and min-cost reachability game. Acta Informatica 54(1):85-125. Springer-Verlag, February 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, and Ke Yang. On the (Im)possibility of Obfuscating Programs. In CRYPTO'01, Lecture Notes in Computer Science 2139, pages 1-18. Springer-Verlag, August 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, and Ke Yang. On the (Im)possibility of Obfuscating Programs. Research Report 01-057, Electronic Colloquium on Computational Complexity, August 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, and 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, July 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, and Nicolas Markey. Quantitative verification of weighted Kripke structures. In ATVA'14, Lecture Notes in Computer Science 8837, pages 64-80. Springer-Verlag, November 2014.
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.

@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, and 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, December 2015.
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 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, and Nicolas Markey. On the semantics of Strategy Logic. Information Processing Letters 116(2):75-79. Elsevier, February 2016.
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.

@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, and Lionel Rieg. Good friends are hard to find!. In TIME'08, pages 32-40. IEEE Comp. Soc. Press, June 2008.
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.

@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, and 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, December 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, and Mickael Randour. Multi-weighted Markov Decision Processes with Reachability Objectives. In GandALF'18, Electronic Proceedings in Theoretical Computer Science 277, pages 250-264. September 2018.
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.

@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, and 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, July 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, and Ashutosh Trivedi. Adding negative prices to priced timed games. In CONCUR'14, Lecture Notes in Computer Science 8704, pages 560-575. Springer-Verlag, September 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, and 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, February 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, and Miklós Sántha. Deciding bisimilarity is P-complete. Formal Aspects of Computing 4(1 supplement):638-648. Springer-Verlag, November 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, and Jana Schubert. Parameterized verification of communicating automata under context bounds. In RP'14, Lecture Notes in Computer Science 8762, pages 45-57. Springer-Verlag, September 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, and Klaus W. Wagner. Intercepting Mobile Communications: The Insecurity of 802.11. In MOBICOM'01, pages 180-189. ACM Press, July 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 and Carl Hewitt. Automata on a 2-Dimensional Tape. In FOCS'67, pages 155-160. IEEE Comp. Soc. Press, October 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 and Jr. Harter. Proving Real-Time Properties of Programs with Temporal Logic. In SOSP'81, Operating System Review 15(5), pages 1-11. ACM Press, December 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 and Sylvie Hamel. From Cascade Decompositions to Bit-Vector Algorithms. Theoretical Computer Science 313(1):3-16. Elsevier, February 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 and 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, April 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 and Frédéric Herbreteau. The Power of Hybrid Acceleration. In CAV'06, Lecture Notes in Computer Science 4144, pages 438-451. Springer-Verlag, July 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, and Sébastien Jodogne. Hybrid Acceleration using Real Vector Automata (extended abstract). In CAV'03, Lecture Notes in Computer Science 2725, pages 193-205. Springer-Verlag, July 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, and 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, and Nicolas Markey. Diagnosing timed automata using timed markings. International Journal on Software Tools for Technology Transfer 23(2):229-253. Springer-Verlag, April 2021.
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.

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, and David Kendall. Using Timed Automata for Response Time Analysis and Distributed Real-Time Systems. In WRTP'99, pages 143-148. Pergamon Press, January 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, and 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, December 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, and Patrick Totzke. History-deterministic timed automata are not determinizable. In RP'22, Lecture Notes in Computer Science 13608, pages 67-76. Springer-Verlag, October 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, and Jan Madsen. Models and formal verification of multiprocessor system-on-chips. Journal of Logic and Algebraic Programming 77(1-2):1-19. Elsevier, October 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, and Isabelle Mainz. Acceleration of Affine Hybrid Transformations. In ATVA'14, Lecture Notes in Computer Science 8837, pages 31-46. Springer-Verlag, November 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, and John Mullins. Non-interference in partial order models. ACM Transactions on Embedded Computing Systems. ACM Press, 2017. To appear.
@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, and Martin Zimmermann. Bounding Average-energy Games. In FoSSaCS'17, Lecture Notes in Computer Science 10203, pages 179-195. Springer-Verlag, April 2017.
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.

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, and Jean-François Raskin. Minimum-Time Reachability in Timed Games. In ICALP'07, Lecture Notes in Computer Science 4596, pages 825-837. Springer-Verlag, July 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, and Pierre-Alain Reynier. Timed Unfoldings for Networks of Timed Automata. In ATVA'06, Lecture Notes in Computer Science 4218, pages 292-306. Springer-Verlag, October 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, and 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, and Anatol Slissenko. The Probablity Nesting Game. In EXPRESS'02, Electronic Notes in Theoretical Computer Science 68(2), pages 3-13. Elsevier, August 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, and 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, July 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, and Yassine Lakhnech. Flat Parametric Counter Automata. Research Report TR-2005-15, Lab. VERIMAG, Grenoble, France, March 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, and Yassine Lakhnech. Flat Parametric Counter Automata. In ICALP'06, Lecture Notes in Computer Science 4052, pages 577-588. Springer-Verlag, July 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, and Howard Straubing. On Uniformity Within NC1. Journal of Computer and System Sciences 41(3):274-306. Academic Press, December 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 and 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, May 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, and 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, July 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, and 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, and Ghassan Oreiby. Using Model Checking for Analyzing Distributed Power Control Problems. EURASIP Journal on Wireless Communications and Networking 2010(861472). Hindawi Publishing Corp., June 2010.
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.

@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, and Wang Yi. Partial-Order Reductions for Timed Systems. In CONCUR'98, Lecture Notes in Computer Science 1466, pages 485-500. Springer-Verlag, September 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, and 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, September 2015.
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.

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, and Nicolas Markey. On the determinization of timed systems. In FORMATS'17, Lecture Notes in Computer Science 10419, pages 25-41. Springer-Verlag, September 2017.
Abstract

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, and Nicolas Markey. Courcelle's Theorem Made Dynamic. Technical Report 1702.05183, arXiv, February 2017.
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.

@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, and Nicolas Markey. Efficient timed diagnosis using automata with timed domains. In RV'18, Lecture Notes in Computer Science 11237, pages 205-221. Springer-Verlag, November 2018.
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].

@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, and Sergio Yovine. Verification of Asynchronous Circuits using Timed Automata. In TPTS'02, Electronic Notes in Theoretical Computer Science 65(6), pages 47-59. Elsevier, April 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, and 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, October 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, and 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, and Frits Vaandrager. Fortuna: model checking priced probabilistic timed automata. In QEST'10, pages 273-281. IEEE Comp. Soc. Press, September 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, and 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 and Joost-Pieter Katoen. Principles of Model-Checking. MIT Press, May 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 and 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, December 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, and Sascha Klüppelholz. A Compositional Framework for Controller Synthesis. In CONCUR'11, Lecture Notes in Computer Science 6901, pages 512-527. Springer-Verlag, September 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, and Petr Novotný. Minimizing Running Costs in Consumption Systems. In CAV'14, Lecture Notes in Computer Science 8559, pages 457-472. Springer-Verlag, July 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, and Michal&nb