On computing fixpoints in well-structured regular model checking, with applications to lossy channel systems

  • Authors:
  • Christel Baier;Nathalie Bertrand;Philippe Schnoebelen

  • Affiliations:
  • Institut für Informatik I, Universität Bonn, Germany;LSV, ENS de Cachan & CNRS, France;LSV, ENS de Cachan & CNRS, France

  • Venue:
  • LPAR'06 Proceedings of the 13th international conference on Logic for Programming, Artificial Intelligence, and Reasoning
  • Year:
  • 2006

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Abstract

We prove a general finite convergence theorem for “upward-guarded" fixpoint expressions over a well-quasi-ordered set. This has immediate applications in regular model checking of well-structured systems, where a main issue is the eventual convergence of fixpoint computations. In particular, we are able to directly obtain several new decidability results on lossy channel systems.