Static guard analysis in timed automata verification

  • Authors:
  • Gerd Behrmann;Patricia Bouyer;Emmanuel Fleury;Kim G. Larsen

  • Affiliations:
  • BRICS, Aalborg University Denmark, Aalborg Ø, Denmark;LSV, CNRS UMR, ENS de Cachan, Cachan Cedex, France;BRICS, Aalborg University Denmark, Aalborg Ø, Denmark;BRICS, Aalborg University Denmark, Aalborg Ø, Denmark

  • Venue:
  • TACAS'03 Proceedings of the 9th international conference on Tools and algorithms for the construction and analysis of systems
  • Year:
  • 2003

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Abstract

By definition Timed Automata have an infinite state-space, thus for verification purposes, an exact finite abstraction is required. We propose a location-based finite zone abstraction, which computes an abstraction based on the relevant guards for a particular state of the model (as opposed to all guards).We show that the location-based zone abstraction is sound and complete with respect to location reachability; that it generalises active-clock reduction, in the sense that an inactive clock has no relevant guards at all; that it enlarges the class of timed automata, that can be verified. We generalise the new abstraction to the case of networks of timed automata, and experimentally demonstrate a potentially exponential speedup compared to the usual abstraction.