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Interactive Theorem Proving and Program Development
Coq'Art: The Calculus of Inductive Constructions
Taschenbuch von Pierre Castéran (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
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.
Inhaltsverzeichnis
1 A Brief Overview.- 2 Types and Expressions.- 3 Propositions and Proofs.- 4 Dependent Products, or Pandoräs 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.
Details
Erscheinungsjahr: 2010
Fachbereich: Grundlagen
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xxv
472 S.
1 s/w Illustr.
472 p. 1 illus.
ISBN-13: 9783642058806
ISBN-10: 3642058809
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Castéran, Pierre
Bertot, Yves
Auflage: Softcover reprint of hardcover 1st edition 2004
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 27 mm
Von/Mit: Pierre Castéran (u. a.)
Erscheinungsdatum: 15.12.2010
Gewicht: 0,75 kg
Artikel-ID: 107167098
Zusammenfassung
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.
Inhaltsverzeichnis
1 A Brief Overview.- 2 Types and Expressions.- 3 Propositions and Proofs.- 4 Dependent Products, or Pandoräs 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.
Details
Erscheinungsjahr: 2010
Fachbereich: Grundlagen
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xxv
472 S.
1 s/w Illustr.
472 p. 1 illus.
ISBN-13: 9783642058806
ISBN-10: 3642058809
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Castéran, Pierre
Bertot, Yves
Auflage: Softcover reprint of hardcover 1st edition 2004
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 27 mm
Von/Mit: Pierre Castéran (u. a.)
Erscheinungsdatum: 15.12.2010
Gewicht: 0,75 kg
Artikel-ID: 107167098
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