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Interactive Theorem Proving and Program Development : Coq’Art: The Calculus of Inductive Constructions / by Yves Bertot, Pierre Castéran.
Author
Bertot, Yves
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Format
Book
Language
English
Εdition
1st ed. 2004.
Published/Created
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
Description
1 online resource (XXV, 472 p. 1 illus.)
Details
Subject(s)
Mathematical logic
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Software engineering
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Architecture, Computer
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Computer programming
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Computer logic
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Author
Castéran, Pierre
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Castéran, Pierre
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Castéran, Pierre
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Series
Texts in Theoretical Computer Science. An EATCS Series,
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Texts in Theoretical Computer Science. An EATCS Series, 1862-4499
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Summary note
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.
Notes
Bibliographic Level Mode of Issuance: Monograph
Bibliographic references
Includes bibliographical references and index.
Language note
English
Contents
1 A Brief Overview
2 Types and Expressions
3 Propositions and Proofs
4 Dependent Products, or Pandora’s Box
5 Everyday Logic
6 Inductive Data Types
7 Tactics and Automation
8 Inductive Predicates
9* Functions and Their Specifications
10 * Extraction and Imperative Programming
11 * A Case Study
12 * The Module System
13 ** Infinite Objects and Proofs
14 ** Foundations of Inductive Types
15 * General Recursion
16 * Proof by Reflection
Insertion Sort
References
Coq and Its Libraries
Examples from the Book.
Show 17 more Contents items
ISBN
3-662-07964-X
Doi
10.1007/978-3-662-07964-5
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Other versions
Interactive theorem proving and program development : Coq'Art : the calculus of inductive constructions / Yves Bertot, Pierre Castéran ; foreword by Gérard Huet and Christine Paulin-Mohring.
id
9952730333506421