T�tulo: Computer Arithmetic and Formal Proofs: Verifying Floating-point Algorithms with the Coq System
Editor: ISTE Press Ltd - Elsevier Inc
Fecha de publicaci�n: 2017
Idioma: Ingl�s
ISBN 10: 1785481126
ISBN 13: 9781785481123
Encuadernaci�n: Hardback
Estado: New
Peso: 709 gramos

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Sinopsis

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.

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

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

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