Computer Arithmetic and Formal Proofs
  • Publisher : Elsevier
  • Release : 17 November 2017
  • ISBN : 9780081011706
  • Page : 326 pages
  • Rating : /5 from voters

Download or read online book entitled Computer Arithmetic and Formal Proofs, was written by Sylvie Boldo and published by Elsevier in pdf, epub and kindle format. This book was released on 17 November 2017 with total pages 326. 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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