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Computer Arithmetic And Formal Proofs Verifying Floatingpoint Algorithms With The Coq System Computer Engineering Sylvie Boldo

  • SKU: BELL-11043442
Computer Arithmetic And Formal Proofs Verifying Floatingpoint Algorithms With The Coq System Computer Engineering Sylvie Boldo
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Computer Arithmetic And Formal Proofs Verifying Floatingpoint Algorithms With The Coq System Computer Engineering Sylvie Boldo instant download after payment.

Publisher: ISTE Press - Elsevier
File Extension: PDF
File size: 34.88 MB
Pages: 326
Author: Sylvie Boldo, Guillaume Melquiond
ISBN: 9781785481123, 1785481126
Language: English
Year: 2017

Product desciption

Computer Arithmetic And Formal Proofs Verifying Floatingpoint Algorithms With The Coq System Computer Engineering Sylvie Boldo by Sylvie Boldo, Guillaume Melquiond 9781785481123, 1785481126 instant download after payment.

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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