Automata-Theoretic Decision of Timed Games

  • Authors:
  • Marco Faella;Salvatore La Torre;Aniello Murano

  • Affiliations:
  • -;-;-

  • Venue:
  • VMCAI '02 Revised Papers from the Third International Workshop on Verification, Model Checking, and Abstract Interpretation
  • Year:
  • 2002

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Abstract

The solution of games is a key decision problem in the context of verification of open systems and program synthesis. We present an automata-theoretic approach to solve timed games. Our solution gives a general framework to solve many classes of timed games via a translation to tree automata, extending to timed games a successful approach to solve discrete games. Our approach relies on translating a timed automaton into a tree automaton that accepts all the trees corresponding to a given strategy of the protagonist. This construction exploits the region automaton introduced by Alur and Dill. We use our framework to solve timed B眉chi games in exponential time, timed Rabin games in exponential time, CTL games in exponential time and Ltl games in doubly exponential time. All these results are tight in the sense that they match the known lower bounds on these decision problems.