Models and Games - Couverture rigide

Väänänen, Jouko

 
9780521518123: Models and Games
Couverture rigide
ISBN 10 : 0521518121 ISBN 13 : 9780521518123
Editeur : Cambridge University Press, 2011

Synopsis

This gentle introduction to logic and model theory is based on a systematic use of three important games in logic: the semantic game; the Ehrenfeucht–Fraïssé game; and the model existence game. The third game has not been isolated in the literature before but it underlies the concepts of Beth tableaux and consistency properties. Jouko Väänänen shows that these games are closely related and in turn govern the three interrelated concepts of logic: truth, elementary equivalence and proof. All three methods are developed not only for first order logic but also for infinitary logic and generalized quantifiers. Along the way, the author also proves completeness theorems for many logics, including the cofinality quantifier logic of Shelah, a fully compact extension of first order logic. With over 500 exercises this book is ideal for graduate courses, covering the basic material as well as more advanced applications.

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À propos de l?auteur

Jouko Väänänen is a Professor of Mathematics at the University of Helsinki, and a Professor of Mathematical Logic and Foundations of Mathematics at the University of Amsterdam.

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

Éditeur
Cambridge University Press
Date d'édition
2011
Langue
anglais
ISBN 10 
0521518121
ISBN 13 
9780521518123
Reliure
Relié
Nombre de pages
380
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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