Timed temporal logics for abstracting transient states

  • Authors:
  • Houda Bel Mokadem;Béatrice Bérard;Patricia Bouyer;François Laroussinie

  • Affiliations:
  • LSV, CNRS & ENS de Cachan, France;LAMSADE, CNRS & Université Paris-Dauphine, France;LSV, CNRS & ENS de Cachan, France;LSV, CNRS & ENS de Cachan, France

  • Venue:
  • ATVA'06 Proceedings of the 4th international conference on Automated Technology for Verification and Analysis
  • Year:
  • 2006

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Abstract

In previous work, the timed logic TCTL was extended with an “almost everywhere” Until modality which abstracts negligible sets of positions (i.e. with a null duration) along a run of a timed automaton. We propose here an extension of this logic with more powerful modalities, in order to specify properties abstracting transient states, which are events that last for less than k time units. Our main result is that model-checking is still decidable and PSPACE-complete for this extension. On the other hand, a second semantics is defined, in which we consider the total duration where the property does not hold along a run. In this case, we prove that model-checking is undecidable.