Models and Games - Couverture rigide

Väänänen, Jouko

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.

A propos du livre

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.

Détails de l'édition

• 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