Computer Arithmetic and Formal Proofs: Verifying Floating-point Algorithms With the Coq System

Boldo, Sylvie/ Melquiond, Guillaume

ISBN 10: 1785481126 / ISBN 13: 9781785481123

Verlag: Elsevier Science Ltd, 2017

Beschreibung

306 pages. 9.00x6.00x1.00 inches. In Stock.

Bestandsnummer des Verkäufers __1785481126

Bibliografische Details

• Titel: Computer Arithmetic and Formal Proofs: Verifying Floating-point Algorithms With the Coq System
• Verlag: Elsevier Science Ltd
• Erscheinungsjahr: 2017
• Sprache: Englisch
• ISBN-10: 1785481126
• ISBN-13: 9781785481123
• Einband: Hardcover
• Zustand: Brand New

Über diesen Titel

Inhaltsangabe

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.

Über die Autorinnen und Autoren

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

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