Dynamical properties of timed automata revisited

  • Authors:
  • Cătălin Dima

  • Affiliations:
  • LACL, Université Paris 12, Créteil, France

  • Venue:
  • FORMATS'07 Proceedings of the 5th international conference on Formal modeling and analysis of timed systems
  • Year:
  • 2007

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Abstract

We give a generalization of a solution by Puri to the problem of checking emptiness in timed automata with drifting clocks for the case of automata with non-closed guards. We show that nonclosed guards pose certain specific problems which cannot be handled by Puri's algorithm, and propose a new algorithm, based on the idea of "boundary clock regions" of Alur, LaTorre and Pappas. We then give a symbolic algorithm for solving the reachability problem. Our algorithm is based on a symbolic construction of the "neighborhood" of a zone, and on a procedure that, given a set of zones Z, builds the forward propagation of the strongly connected components which can be reached from Z. This improves a symbolic algorithm of Daws and Kordy, due to the ability to handle sets of zones.