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Interactive Theorem Proving and Program Development : Coq'Art: The Calculus of Inductive Constructions - Yves Bertot

Interactive Theorem Proving and Program Development

Coq'Art: The Calculus of Inductive Constructions

Hardcover Published: 14th May 2004
ISBN: 9783540208549
Number Of Pages: 472

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Coq is an interactive proof assistant for the development of mathematical theories and formally certified software. It is based on a theory called the calculus of inductive constructions, a variant of type theory. This book provides a pragmatic introduction to the development of proofs and certified programs using Coq. With its large collection of examples and exercises it is an invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.

From the reviews of the first edition:

"This book serves as a Coq user manual, supporting both beginners and experts in the use of Coq and its underlying theory. ... Numerous exercises further enhance the utility as a learning aid. A supporting website provides downloadable source for all the examples and solutions to the exercises. As an introduction to Coq the book is self-contained ... . The book is also comprehensive ... . In summary, the book is an essential companion for every Coq user ... ." (Valentin F. Goranko, Zentralblatt MATH, Vol. 1069, 2005)

A Brief Overview
Types and Expressions
Propositions and Proofs
Dependent Products
Everyday Logic
Inductive Data Types
Tactics and Automation
Inductive Predicates
Functions and Their Specifications
Extraction and Imperative Programming
A Case Study
The Module System
Infinite Objects and Proofs
Foundations ofnbsp; Inductive Types
General Recursion
Proof by Reflection
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540208549
ISBN-10: 3540208542
Series: Texts in Theoretical Computer Science. An EATCS Series
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 472
Published: 14th May 2004
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 0.85