Computer Arithmetic and Formal Proofs

Download or Read online Computer Arithmetic and Formal Proofs full in PDF, ePub and kindle. This book written by Sylvie Boldo and published by Elsevier which was released on 17 November 2017 with total pages 326. We cannot guarantee that Computer Arithmetic and Formal Proofs book is available in the library, click Get Book button to download or read online books. Join over 650.000 happy Readers and READ as many books as you like.

Computer Arithmetic and Formal Proofs
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Publisher : Elsevier
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ISBN : 9780081011706
Pages : 326 pages
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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

Computer Arithmetic and Formal Proofs

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

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Concepts of Proof in Mathematics  Philosophy  and Computer Science

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