Timed Modal Logics for Real-Time Systems

  • Authors:
  • Patricia Bouyer;Franck Cassez;François Laroussinie

  • Affiliations:
  • Lab. Spécification & Véérification, ENS de Cachan & CNRS UMR 8643, Paris, France;National ICT Australia and CNRS, The University of New South Wales, Sydney, Australia;LIAFA, Institut Universitaire de France, Université Paris Diderot & CNRS UMR 7089, Paris, France

  • Venue:
  • Journal of Logic, Language and Information
  • Year:
  • 2011

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Abstract

In this paper, a timed modal logic L c is presented for the specification and verification of real-time systems. Several important results for L c are discussed. First we address the model checking problem and we show that it is an EXPTIME-complete problem. Secondly we consider expressiveness and we explain how to express strong timed bisimilarity and how to build characteristic formulas for timed automata. We also propose a compositional algorithm for L c model checking. Finally we consider several control problems for which L c can be used to check controllability.