Fast LCF-Style proof reconstruction for z3

  • Authors:
  • Sascha Böhme;Tjark Weber

  • Affiliations:
  • Technische Universität München;University of Cambridge

  • Venue:
  • ITP'10 Proceedings of the First international conference on Interactive Theorem Proving
  • Year:
  • 2010

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Abstract

The Satisfiability Modulo Theories (SMT) solver Z3 can generate proofs of unsatisfiability. We present independent reconstruction of these proofs in the theorem provers Isabelle/HOL and HOL4 with particular focus on efficiency. Our highly optimized implementations outperform previous LCF-style proof checkers for SMT, often by orders of magnitude. Detailed performance data shows that LCF-style proof reconstruction can be faster than proof search in Z3.