Strengthening properties using abstraction refinement

  • Authors:
  • Mitra Purandare;Thomas Wahl;Daniel Kroening

  • Affiliations:
  • ETH Zurich;Oxford University, U.K.;Oxford University, U.K.

  • Venue:
  • Proceedings of the Conference on Design, Automation and Test in Europe
  • Year:
  • 2009

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Abstract

Model Checking is an automated formal method for verifying whether a finite-state system satisfies a user-supplied specification. The usefulness of the verification result depends on how well the specification distinguishes intended from non-intended system behavior. Vacuity is a notion that helps formalize this distinction in order to improve the user's understanding of why a property is satisfied. The goal of this paper is to expose vacuity in a property in a way that increases our knowledge of the design. Our approach, based on abstraction refinement, computes a maximal set of atomic subformula occurrences that can be strengthened without compromising satisfaction. The result is a shorter and stronger and thus, generally, more valuable property. We quantify the benefits of our technique on a substantial set of circuit benchmarks.