Computer Arithmetic and Formal Proofs - Verifying Floating-point Algorithms with the Coq System (Hardcover)

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.

General

Imprint:	ISTE Press Ltd - Elsevier Inc
Country of origin:	United Kingdom
Release date:	November 2017
Authors:	Sylvie Boldo • Guillaume Melquiond
Dimensions:	229 x 152 x 23mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	326
ISBN-13:	978-1-78548-112-3
Categories:	Books > Computing & IT > General theory of computing > Data structures Books > Computing & IT > Computer programming > Algorithms & procedures Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
LSN:	1-78548-112-6
Barcode:	9781785481123

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