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Reliable Reconstruction of Fine-Grained Proofs in a Proof Assistant

Abstract : We present a fast and reliable reconstruction of proofs generated by the SMT solver veriT in Isabelle. The fine-grained proof format makes the reconstruction simple and efficient. For typical proof steps, such as arithmetic reasoning and skolemization, our reconstruction can avoid expensive search. By skipping proof steps that are irrelevant for Isabelle, the performance of proof checking is improved. Our method increases the success rate of Sledgehammer by halving the failure rate and reduces the checking time by 13%. We provide a detailed evaluation of the reconstruction time for each rule. It reveals that the runtime is influenced by both simple rules that appear very often and common complex rules.
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Contributor : Hans-Jörg Schurr Connect in order to contact the contributor
Submitted on : Friday, September 10, 2021 - 4:48:07 PM
Last modification on : Thursday, May 5, 2022 - 10:34:54 AM


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Hans-Jörg Schurr, Mathias Fleury, Martin Desharnais. Reliable Reconstruction of Fine-Grained Proofs in a Proof Assistant. CADE 2021 - 28th International Conference on Automated Deduction, Jul 2021, Pittsburgh, PA / online, United States. ⟨10.1007/978-3-030-79876-5⟩. ⟨hal-03341357⟩



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