Zenoness detection and timed model checking for real time systems

  • Authors:
  • Rachid Hadjidj;Hanifa Boucheneb;Drifa Hadjidj

  • Affiliations:
  • École Polytechnique de Montréal, Canada;École Polytechnique de Montréal, Canada;Univesite de Boumerdes, Algeria

  • Venue:
  • VECoS'07 Proceedings of the First international conference on Verification and Evaluation of Computer and Communication Systems
  • Year:
  • 2007

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Abstract

In this paper, we consider the time Petri net model (TPN model) and show how to detect zenoness using the state class method. Zenoness is a situation which suggests that an infinity of actions may take place in a finite amount of time. This behavior is often considered as pathological since it violates a fundamental requirement for timed systems for they cannot be infinitely fast. Models violating this property are called zeno. We state a necessary and sufficient condition for T-safe TPNs to be zeno and derive an algorithm to verify zenoness in the case of bounded TPN models. We also adapt a model checking approach to verify on-the-fly a subset of TCTL properties while taking into account zeno behaviors.