Interactive theorem proving and program development : Coq'Art: the calculus of inductive constructions

書誌事項

Interactive theorem proving and program development : Coq'Art: the calculus of inductive constructions

Yves Bertot, Pierre Castèran ; foreword by Gérard Huet and Christine Paulin-Mohring

(Texts in theoretical computer science, An EATCS series)

Springer, c2004

  • : pbk

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注記

Includes index

Includes bibliographical references (p. [453]-457) and indexes

内容説明・目次

内容説明

A practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.

目次

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.

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