WhyMP, a Formally Verified Arbitrary-Precision Integer Library - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Journal of Symbolic Computation Année : 2023

WhyMP, a Formally Verified Arbitrary-Precision Integer Library

Résumé

Arbitrary-precision integer libraries such as GMP are a critical building block of computer algebra systems. GMP provides state-of-the-art algorithms that are intricate enough to justify formal verification. In this paper, we present a C library that has been formally verified using the Why3 verification platform in about four person-years. This verification deals not only with safety, but with full functional correctness. It has been performed using a mixture of mechanically checked handwritten proofs and automated theorem proving. We have implemented and verified a nontrivial subset of GMP's algorithms, including their optimizations and intricacies. Our library provides the same interface as GMP and is almost as efficient for smaller inputs. We detail our verification methodology and the algorithms we have implemented, and include some benchmarks to compare our library with GMP.
Fichier principal
Vignette du fichier
main.pdf (390.9 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03233220 , version 1 (24-05-2021)

Identifiants

Citer

Guillaume Melquiond, Raphaël Rieu-Helft. WhyMP, a Formally Verified Arbitrary-Precision Integer Library. Journal of Symbolic Computation, 2023, 115, pp.74-95. ⟨10.1016/j.jsc.2022.07.007⟩. ⟨hal-03233220⟩
118 Consultations
180 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More