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Published in:
2011 | OriginalPaper | Chapter
Reconstruction of Z3’s Bit-Vector Proofs in HOL4 and Isabelle/HOL
Authors : Sascha Böhme, Anthony C. J. Fox, Thomas Sewell, Tjark Weber
Published in: Certified Programs and Proofs
Publisher: Springer Berlin Heidelberg
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The Satisfiability Modulo Theories (SMT) solver Z3 can generate proofs of unsatisfiability. We present independent reconstruction of unsatisfiability proofs for bit-vector theories in the theorem provers HOL4 and Isabelle/HOL. Our work shows that LCF-style proof reconstruction for the theory of fixed-size bit-vectors, although difficult because Z3’s proofs provide limited detail, is often possible. We thereby obtain high correctness assurances for Z3’s results, and increase the degree of proof automation for bit-vector problems in HOL4 and Isabelle/HOL.