Nicolas Markey

Abstract

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

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