Abstraction refinement with craig interpolation and symbolic pushdown systems

  • Authors:
  • Javier Esparza;Stefan Kiefer;Stefan Schwoon

  • Affiliations:
  • Institute for Formal Methods in Computer Science, University of Stuttgart;Institute for Formal Methods in Computer Science, University of Stuttgart;Institute for Formal Methods in Computer Science, University of Stuttgart

  • Venue:
  • TACAS'06 Proceedings of the 12th international conference on Tools and Algorithms for the Construction and Analysis of Systems
  • Year:
  • 2006

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Abstract

Counterexample-guided abstraction refinement (CEGAR) has proven to be a powerful method for software model-checking. In this paper, we investigate this concept in the context of sequential (possibly recursive) programs whose statements are given as BDDs. We examine how Craig interpolants can be computed efficiently in this case and propose a new, special type of interpolants. Moreover, we show how to treat multiple counterexamples in one refinement cycle. We have implemented this approach within the model-checker Moped and report on experiments.