Computer Arithmetic and Formal Proofs: Verifying Floating-Point Algorithms With the Coq System - Couverture rigide

Boldo, Sylvie; Melquiond, Guillaume

 
9781785481123: Computer Arithmetic and Formal Proofs: Verifying Floating-Point Algorithms With the Coq System
Couverture rigide
ISBN 10 : 1785481126 ISBN 13 : 9781785481123
Editeur : ISTE Press Ltd - Elsevier Inc, 2017

Synopsis

Floating-point arithmetic is ubiquitous in modern computing, as it is the tool of choice to approximate real numbers. Due to its limited range and precision, its use can become quite involved and potentially lead to numerous failures. One way to greatly increase confidence in floating-point software is by computer-assisted verification of its correctness proofs.

This book provides a comprehensive view of how to formally specify and verify tricky floating-point algorithms with the Coq proof assistant. It describes the Flocq formalization of floating-point arithmetic and some methods to automate theorem proofs. It then presents the specification and verification of various algorithms, from error-free transformations to a numerical scheme for a partial differential equation. The examples cover not only mathematical algorithms but also C programs as well as issues related to compilation.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos des auteurs

Sylvie Boldo is a Research Director at INRIA in Orsay, France.

Guillaume Melquiond is a Researcher at INRIA in Orsay, France.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
ISTE Press Ltd - Elsevier Inc
Date d'édition
2017
Langue
anglais
ISBN 10 
1785481126
ISBN 13 
9781785481123
Reliure
Relié
Nombre de pages
326
Coordonnées du fabricant
non disponible
Personne responsable
Barbara Criscuolo
b.criscuolo@lswr.it

Via Spadolini, 7
Milano
20141
Italie