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Proofs and Algorithms
An Introduction to Logic and Computability
Taschenbuch von Gilles Dowek
Sprache: Englisch

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Beschreibung

Proofs and Algorithms: An Introduction to Logic and Computability

Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation.

Proofs and Algorithms: An Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel's incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself.

Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

Proofs and Algorithms: An Introduction to Logic and Computability

Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation.

Proofs and Algorithms: An Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel's incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself.

Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

Über den Autor
Gilles Dowek is a Professor at École Polytechnique. He is also a Researcher at the Laboratoire d'Informatique de l'École Polytechnique and the Institut National de Recherche en Informatique et en Automatique (INRIA). His research concerns the formalization of mathematics and the mechanization of reasoning. His main contribution is a reformulation of the axiomatic method which provides a central role to the notion of computation.
Zusammenfassung

Covers elementary topics - proofs, models, recursive functions, Church's theorem

Contains an introduction to more advanced topics - rewriting, lambada-calculus, sequent calculus, automated theorem proving

This book is written for students who have had no exposure to logic before

Includes supplementary material: [...]

Inhaltsverzeichnis
Proofs.-Predictive Logic.-Models.-Algorithms.-Computable Functions.-Computation as a Sequence of Small Steps.-Proofs and Algorithms.-Church's Theorem.-Automated Theorem Proving.-Decidable Theories.-Constructivity.-Epilogie.-Index.-Bibliography
Details
Erscheinungsjahr: 2011
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 156
Inhalt: xii
156 S.
ISBN-13: 9780857291202
ISBN-10: 0857291203
Sprache: Englisch
Herstellernummer: 12833764
Einband: Kartoniert / Broschiert
Autor: Dowek, Gilles
Auflage: 2011 edition
Hersteller: Springer London
Springer Nature Singapore
Maße: 238 x 156 x 17 mm
Von/Mit: Gilles Dowek
Erscheinungsdatum: 14.01.2011
Gewicht: 0,252 kg
preigu-id: 107286558
Über den Autor
Gilles Dowek is a Professor at École Polytechnique. He is also a Researcher at the Laboratoire d'Informatique de l'École Polytechnique and the Institut National de Recherche en Informatique et en Automatique (INRIA). His research concerns the formalization of mathematics and the mechanization of reasoning. His main contribution is a reformulation of the axiomatic method which provides a central role to the notion of computation.
Zusammenfassung

Covers elementary topics - proofs, models, recursive functions, Church's theorem

Contains an introduction to more advanced topics - rewriting, lambada-calculus, sequent calculus, automated theorem proving

This book is written for students who have had no exposure to logic before

Includes supplementary material: [...]

Inhaltsverzeichnis
Proofs.-Predictive Logic.-Models.-Algorithms.-Computable Functions.-Computation as a Sequence of Small Steps.-Proofs and Algorithms.-Church's Theorem.-Automated Theorem Proving.-Decidable Theories.-Constructivity.-Epilogie.-Index.-Bibliography
Details
Erscheinungsjahr: 2011
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 156
Inhalt: xii
156 S.
ISBN-13: 9780857291202
ISBN-10: 0857291203
Sprache: Englisch
Herstellernummer: 12833764
Einband: Kartoniert / Broschiert
Autor: Dowek, Gilles
Auflage: 2011 edition
Hersteller: Springer London
Springer Nature Singapore
Maße: 238 x 156 x 17 mm
Von/Mit: Gilles Dowek
Erscheinungsdatum: 14.01.2011
Gewicht: 0,252 kg
preigu-id: 107286558
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