Flocq: A Unified Library for Proving Floating-point Algorithms in CoqReport as inadecuate




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1 PROVAL - Proof of Programs UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, CNRS - Centre National de la Recherche Scientifique : UMR 2 LRI - Laboratoire de Recherche en Informatique

Abstract : Several formalizations of floating-point arithmetic have been designed for the Coq system, a generic proof assistant. Their different purposes have favored some specific applications: program verification, high-level properties, automation. Based on our experience using and-or developing these libraries, we have built a new system that is meant to encompass the other ones in a unified framework. It offers a multi-radix and multi-precision formalization for various floating- and fixed-point formats. This fresh setting has been the occasion for reevaluating known properties and generalizing them. This paper presents the Flocq system: a library easy to use, suitable for automation yet high-level and generic.

Keywords : Floating-point arithmetic formal proof system program verification





Author: Sylvie Boldo - Guillaume Melquiond -

Source: https://hal.archives-ouvertes.fr/



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