Format:
1 Online-Ressource (ix, 367 Seiten)
ISBN:
9780511974885
Series Statement:
Cambridge studies in advanced mathematics 132
Content:
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
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
,
Introduction -- Preliminaries and notation -- Games -- Graphs -- Models -- First-order logic -- Infinitary logic -- Model theory of infinitary logic -- Stronger infinitary logics -- Generalized quantifiers
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-0-521-51812-3
Language:
English
Subjects:
Mathematics
,
Philosophy
Keywords:
Logik
;
Modelltheorie
;
Einführung
DOI:
10.1017/CBO9780511974885
URL:
Volltext
(URL des Erstveröffentlichers)
Author information:
Väänänen, Jouko 1950-
