Model-checking timed ATL for durational concurrent game structures

  • Authors:
  • François Laroussinie;Nicolas Markey;Ghassan Oreiby

  • Affiliations:
  • Lab. Spécification & Vérification, ENS de Cachan & CNRS UMR 8643, Cachan, France;Lab. Spécification & Vérification, ENS de Cachan & CNRS UMR 8643, Cachan, France;Lab. Spécification & Vérification, ENS de Cachan & CNRS UMR 8643, Cachan, France

  • Venue:
  • FORMATS'06 Proceedings of the 4th international conference on Formal Modeling and Analysis of Timed Systems
  • Year:
  • 2006

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Abstract

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