Computer Arithmetic and Formal Proofs: Verifying Floating-point Algorithms with the Coq System (Computer Engineering) - Hardcover
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Synopsis
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
"synopsis" may belong to another edition of this title.
About the Authors
Sylvie Boldo is a Research Director at INRIA in Orsay, France.
Guillaume Melquiond is a Researcher at INRIA in Orsay, France.
"About this title" may belong to another edition of this title.
- PublisherISTE Press - Elsevier
- Publication date2017
- ISBN 10 1785481126
- ISBN 13 9781785481123
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages326
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 326 pp. Englisch. Seller Inventory # 9781785481123
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Computer Arithmetic and Formal Proofs: Verifying Floating-point Algorithms with the Coq System
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ISTE Press Ltd - Elsevier Inc, 2017
ISBN 10: 1785481126
ISBN 13: 9781785481123
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Buch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9781785481123
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