Bounded Model Checking for the Existential Fragment of TCTL$_{-G}$ and Diagonal Timed Automata

  • Authors:
  • Bożena Woźna;Andrzej Zbrzezny

  • Affiliations:
  • Institute of Mathematics and Computer Science, Jan Długosz University Al. Armii Krajowej 13/15, 42-200 Czȩstochowa, Poland. E-mail: {b.wozna,a.zbrzezny}@ajd.czest.pl;Institute of Mathematics and Computer Science, Jan Długosz University Al. Armii Krajowej 13/15, 42-200 Czȩstochowa, Poland. E-mail: {b.wozna,a.zbrzezny}@ajd.czest.pl

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 2007

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Abstract

Bounded Model Checking (BMC) is one of the well known SAT based symbolic model checking techniques. It consists in searching for a counterexample of a particular length, and generating a propositional formula that is satisfiable iff such a counterexample exists. The BMC method is feasible for the various classes of temporal logic; in particular it is feasible for TECTL (the existential fragment of Time Computation Tree Logic) and Diagonal-free Timed Automata. The main contribution of the paper is to show that the concept of Bounded Model Checking can be extended to deal with TECTL$_{-G}$ properties of Diagonal Timed Automata. We have implemented our new BMC algorithm, and we present preliminary experimental results, which demonstrate the efficiency of the method.