Reset Filters
Branch: 虹口区图书馆（和平分馆）

Cover is for reference only

Computer arithmetic and formal proofs : verifying floating-point algorithms with the Coq system /

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Boldo, Sylvie
Corporate Authors: Elsevier Science & Technology.
Group Author: Melquiond, Guillaume
Published: ISTE Press ; Elsevier,
Publisher Address: London : Oxford, UK :
Publication Dates: 2017.
Literature type: eBook
Language: English
Subjects:
Coq (Electronic resource)
Computer arithmetic.
Floating-point arithmetic.
Computer algorithms.
COMPUTERS > Computer Literacy.
COMPUTERS > Computer Science.
COMPUTERS > Data Processing.
COMPUTERS > General. > General.
COMPUTERS > Information Technology.
COMPUTERS > Machine Theory.
COMPUTERS > Reference.
MATHEMATICS > Discrete Mathematics.
Electronic books.
Online Access: https://www.sciencedirect.com/science/book/9781785481123
Summary: 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.
Carrier Form: 1 online resource (306 pages)
Bibliography: Includes bibliographical references and index.
ISBN: 9780081011706
0081011709
Index Number: QA76
CLC: TP301.6

Related Book Recommendations