Proof Theory - Couverture souple

Takeuti, Takeuti; Dubnov, Ya S

 
9780486490731: Proof Theory
Couverture souple
ISBN 10 : 0486490734 ISBN 13 : 9780486490731
Editeur : Dover Publications Inc., 2013

Synopsis

Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text explores applications of proof theory to logic as well as other areas of mathematics. Suitable for advanced undergraduates and graduate students of mathematics, this long-out-of-print monograph forms a cornerstone for any library in mathematical logic and related topics.
The three-part treatment begins with an exploration of first order systems, including a treatment of predicate calculus involving Gentzen's cut-elimination theorem and the theory of natural numbers in terms of Gödel's incompleteness theorem and Gentzen's consistency proof. The second part, which considers second order and finite order systems, covers simple type theory and infinitary logic. The final chapters address consistency problems with an examination of consistency proofs and their applications.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Gaisi Takeuti is Professor Emeritus of Mathematics at the University of Illinois at Urbana-Champaign.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Dover Publications Inc.
Date d'édition
2013
Langue
anglais
ISBN 10 
0486490734
ISBN 13 
9780486490731
Reliure
Broché
Numéro d'édition
2
Nombre de pages
384
Coordonnées du fabricant
non disponible
Personne responsable
Soc. Agr. La Raia Ss
http://www.la-raia.it

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Novi Ligure
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Italie