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A Why3 Framework for Reflection Proofs and Its Application to GMP’s Algorithms

  • Guillaume Melquiond
  • Raphaël Rieu-Helft
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10900)

Abstract

Earlier work showed that automatic verification of GMP’s algorithms using Why3 exceeds the current capabilities of automatic solvers. To complete this verification, numerous cut indications had to be supplied by the user, slowing the project to a crawl. This paper shows how we have extended Why3 with a framework for proofs by reflection, with minimal impact on the trusted computing base. This framework makes it easy to write dedicated decision procedures that make full use of Why3’s imperative features and are formally verified. We evaluate how much work could have been saved when verifying GMP’s algorithms, had this framework been available. This approach opens the way to efficiently tackling the further verification of GMP’s algorithms.

Keywords

Decision procedures Proofs by reflection Deductive program verification Nonlinear integer arithmetic 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Inria, Université Paris-SaclayPalaiseauFrance
  2. 2.TrustInSoftParisFrance

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