[1908.09478v1] Verifying Bit-vector Invertibility Conditions in Coq (Extended Abstract)
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Computer Science > Logic in Computer Science

arXiv:1908.09478v1 (cs)
[Submitted on 26 Aug 2019]

Title:Verifying Bit-vector Invertibility Conditions in Coq (Extended Abstract)

Authors:Burak Ekici (University of Innsbruck), Arjun Viswanathan (University of Iowa), Yoni Zohar (Stanford University), Clark Barrett (Stanford University), Cesare Tinelli (University of Iowa)
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Abstract:This work is a part of an ongoing effort to prove the correctness of invertibility conditions for the theory of fixed-width bit-vectors, which are used to solve quantified bit-vector formulas in the Satisfiability Modulo Theories (SMT) solver CVC4. While many of these were proved in a completely automatic fashion for any bit-width, some were only proved for bit-widths up to 65, even though they are being used to solve formulas over arbitrary bit-widths. In this paper we describe our initial efforts in proving a subset of these invertibility conditions in the Coq proof assistant. We describe the Coq library that we use, as well as the extensions that we introduced to it.
Comments: In Proceedings PxTP 2019, arXiv:1908.08639. Presented as an extended abstract
Subjects: Logic in Computer Science (cs.LO)
Cite as: arXiv:1908.09478 [cs.LO]
  (or arXiv:1908.09478v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.1908.09478
Journal reference: EPTCS 301, 2019, pp. 18-26
Related DOI: https://doi.org/10.4204/EPTCS.301.4

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Mon, 26 Aug 2019 05:38:56 UTC (40 KB)
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