Boldo, Sylvie creator author. Melquiond, Guillaume author. text bibliography Electronic books. enk 2017 monographic eng

electronic resource

1 online resource 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 useShows how to tackle algorithms that extend beyond the realm of simple floating-point arithmeticIncludes real analysis and a case study about numerical analysis. Sylvie Boldo, Guillaume Melquiond. Includes bibliographical references and index. Computer arithmetic Floating-point arithmetic Computer algorithms COMPUTERS Computer Literacy COMPUTERS Computer Science COMPUTERS Data Processing COMPUTERS Hardware General COMPUTERS Information Technology COMPUTERS Machine Theory COMPUTERS Reference MATHEMATICS Discrete Mathematics Computer algorithms Computer arithmetic Floating-point arithmetic QA76.9.C62 004.01/51 Boldo, Sylvie. London, England ; ISTE Press : Elsevier, �2017 xx, 306 pages 9780081011706 0081011709 https://www.sciencedirect.com/science/book/9781785481123 http://www.sciencedirect.com/science/book/9781785481123 https://www.sciencedirect.com/science/book/9781785481123 http://www.sciencedirect.com/science/book/9781785481123 N$T 171120 20190328114817.0 on1012400060 eng