Computer Arithmetic and Formal Proofs
By:Sylvie Boldo,Guillaume Melquiond
Published on 2017-11-17 by Elsevier
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. Describes the notions of specification and weakest precondition computation and their practical use Shows how to tackle algorithms that extend beyond the realm of simple floating-point arithmetic Includes real analysis and a case study about numerical analysis
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Book ID of Computer Arithmetic and Formal Proofs's Books is -DzjCwAAQBAJ, Book which was written bySylvie Boldo,Guillaume Melquiondhave ETAG "lHOp6AC5pTQ"
Book which was published by Elsevier since 2017-11-17 have ISBNs, ISBN 13 Code is 9780081011706 and ISBN 10 Code is 0081011709
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