FLOC 2018: FEDERATED LOGIC CONFERENCE 2018
A Why3 framework for reflection proofs and its application to GMP's algorithms

Authors: Guillaume Melquiond and Raphaël Rieu-Helft

Paper Information

Title:A Why3 framework for reflection proofs and its application to GMP's algorithms
Authors:Guillaume Melquiond and Raphaël Rieu-Helft
Proceedings:IJCAR Proceedings 9th IJCAR, 2018
Editors: Stephan Schulz, Didier Galmiche and Roberto Sebastiani
Keywords:Decision procedures, Proofs by reflection, Deductive program verification, Nonlinear integer arithmetic
Abstract:

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.

Pages:16
Talk:Jul 15 17:30 (Session 107E: Verification)
Paper: