TAGED Approximations for Temporal Properties Model-Checking

  • Authors:
  • Roméo Courbis;Pierre-Cyrille Héam;Olga Kouchnarenko

  • Affiliations:
  • INRIA/CASSIS, LIFC/University of Franche-Comté, Besançon Cedex, F-25030;INRIA/CASSIS, LIFC/University of Franche-Comté, Besançon Cedex, F-25030 and LSV CNRS/INRIA/ENS Cachan, Cachan Cedex, F-94235;INRIA/CASSIS, LIFC/University of Franche-Comté, Besançon Cedex, F-25030

  • Venue:
  • CIAA '09 Proceedings of the 14th International Conference on Implementation and Application of Automata
  • Year:
  • 2009

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Abstract

This paper investigates the use of tree automata with global equalities and disequalities (TAGED for short) in reachability analysis over term rewriting systems (TRSs). The reachability problem being in general undecidable on non terminating TRSs, we provide TAGED-based construction, and then design approximation-based semi-decision procedures to model-check useful temporal patterns on infinite state rewriting graphs. To show that the above TAGED-based construction can be effectively carried out, complexity analysis for rewriting TAGED-definable languages is given.