Robust reachability in timed automata: a game-based approach

  • Authors:
  • Patricia Bouyer;Nicolas Markey;Ocan Sankur

  • Affiliations:
  • LSV, CNRS & ENS Cachan, France;LSV, CNRS & ENS Cachan, France;LSV, CNRS & ENS Cachan, France

  • Venue:
  • ICALP'12 Proceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part II
  • Year:
  • 2012

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Abstract

Reachability checking is one of the most basic problems in verification. By solving this problem, one synthesizes a strategy that dictates the actions to be performed for ensuring that the target location is reached. In this work, we are interested in synthesizing "robust" strategies for ensuring reachability of a location in a timed automaton; with "robust", we mean that it must still ensure reachability even when the delays are perturbed by the environment. We model this perturbed semantics as a game between the controller and its environment, and solve the parameterized robust reachability problem: we show that the existence of an upper bound on the perturbations under which there is a strategy reaching a target location is EXPTIME-complete.