Computable fixpoints in well-structured symbolic model checking

  • Authors:
  • N. Bertrand;P. Schnoebelen

  • Affiliations:
  • Inria Rennes Bretagne Atlantique, Rennes Cedex, France 35042;LSV, CNRS & ENS de Cachan, Cachan Cedex, France 94235

  • Venue:
  • Formal Methods in System Design
  • Year:
  • 2013

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Abstract

We prove a general finite-time convergence theorem for fixpoint expressions over a well-quasi-ordered set. This has immediate applications for the verification of well-structured systems, where a main issue is the computability of fixpoint expressions, and in particular for game-theoretical properties and probabilistic systems where nesting and alternation of least and greatest fixpoints are common.