Local abstraction-refinement for the mu-calculus

  • Authors:
  • Harald Fecher;Sharon Shoham

  • Affiliations:
  • Christian-Albrechts-University Kiel, Germany;The Technion, Haifa, Israel

  • Venue:
  • Proceedings of the 14th international SPIN conference on Model checking software
  • Year:
  • 2007

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Abstract

Counterexample-guided abstraction refinement (CEGAR) is a key technique for the verification of computer programs. Grumberg et al. developed a CEGAR-based algorithm for the modal µ-calculus. There, every abstract state is split in a refinement step. In this paper, the work of Grumberg et al. is generalized by presenting a new CEGAR-based algorithm for the µ-calculus. It is based on a more expressive abstract model and applies refinement only locally (at a single abstract state), i.e., the lazy abstraction technique for safety properties is adapted to the µ-calculus. Furthermore, it separates refinement determination from the (3-valued based) model checking. Three different heuristics for refinement determination are presented and illustrated.