Approximation-based tree regular model-checking

  • Authors:
  • Y. Boichut;P.-C. Héam;O. Kouchnarenko

  • Affiliations:
  • LIFO, Université d'Orléans, Orleans Cedex 2, France;LSV, INRIA-CNRS, ENS de Cachan, Cachan, France;LIFC, INRIA-CASSIS, Besançon, France

  • Venue:
  • Nordic Journal of Computing
  • Year:
  • 2008

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Abstract

This paper addresses the following general problem of tree regular model-checking: decide whether R*(L) ∩ Lp = θ where R* is the reflexive and transitive closure of a successor relation induced by a term rewriting system R, and L and Lp are both regular tree languages. We develop an automatic approximation-based technique to handle this - undecidable in general - problem in most practical cases, extending a recent work by Feuillade, Genet and Viet Triem Tong. We also make this approach fully automatic for practical validation of security protocols.