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Interactive Theorem Proving and Program Development

Coq'Art: The Calculus of Inductive Constructions
BuchGebunden
472 Seiten
Englisch
Springererschienen am14.05.2004
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.mehr
Verfügbare Formate
BuchGebunden
EUR80,20
BuchKartoniert, Paperback
EUR85,59
E-BookPDF1 - PDF WatermarkE-Book
EUR85,59

Produkt

KlappentextCoq 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.
Zusammenfassung
First book providing the theoretical foundations

A broad spectrum of applications of the theorem proving system Coq

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-540-20854-9
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2004
Erscheinungsdatum14.05.2004
ReiheTexts in Theoretical Computer Science. An EATCS Series
Seiten472 Seiten
SpracheEnglisch
Gewicht948 g
IllustrationenXXV, 472 p. 1 illus.
Artikel-Nr.10577326

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
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)mehr