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A modular integration of SAT/SMT solvers to Coq through proof witnesses

  • Michael Armand
  • , Germain Faure
  • , Benjamin Grégoire
  • , Chantal Keller
  • , Laurent Théry
  • , Benjamin Werner
  • INRIA
  • Laboratoire d'Informatique (LIX)

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

108 Citations (Scopus)

Abstract

We present a way to enjoy the power of SAT and SMT provers in Coq without compromising soundness. This requires these provers to return not only a yes/no answer, but also a proof witness that can be independently rechecked. We present such a checker, written and fully certified in Coq. It is conceived in a modular way, in order to tame the proofs' complexity and to be extendable. It can currently check witnesses from the SAT solver ZChaff and from the SMT solver veriT. Experiments highlight the efficiency of this checker. On top of it, new reflexive Coq tactics have been built that can decide a subset of Coq's logic by calling external provers and carefully checking their answers.

Original languageEnglish
Title of host publicationCertified Programs and Proofs - First International Conference, CPP 2011, Proceedings
PublisherSpringer Verlag
Pages135-150
Number of pages16
ISBN (Print)9783642253782
DOIs
Publication statusPublished - 1 Jan 2011
Event1st International Conference on Certified Programs and Proofs, CPP 2011 - Kenting, Taiwan, Province of China
Duration: 7 Dec 20119 Dec 2011

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7086 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference1st International Conference on Certified Programs and Proofs, CPP 2011
Country/TerritoryTaiwan, Province of China
CityKenting
Period7/12/119/12/11

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