State Space Reduction by Proving Confluence

  • Authors:
  • Stefan Blom;Jaco van de Pol

  • Affiliations:
  • -;-

  • Venue:
  • CAV '02 Proceedings of the 14th International Conference on Computer Aided Verification
  • Year:
  • 2002

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Abstract

We present a modular method for on-the-fly state space reduction. The theoretical foundation of the method is a new confluence notion for labeled transition systems. The method works by adding confluence information to the symbolic representation of the state space. We present algorithms for on-the-fly exploration of the reduced state space, for detection of confluence properties and for a symbolic reduction, called prioritization. The latter two algorithms rely on an automated theorem prover to derive the necessary information. We also present some case studies in which tools that implement these algorithms were used.