Finite Model Theory: Second Edition

Ebbinghaus, Heinz-Dieter; Flum, Jorg

ISBN 10: 3540287876 / ISBN 13: 9783540287872

Editore: Springer, 2005

Presents the main results of descriptive complexity theory - the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. This book also looks at important logic in this context, which include fixed-point logic, transitive closure logic, and certain infinitary languages. Series: Springer Monographs in Mathematics. Num Pages: 360 pages, biography. BIC Classification: PBWH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 22. Weight in Grams: 1550. . 2005. 2nd ed. 1999. 2nd printing 2005. hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9783540287872

Riassunto:

This is a thoroughly revised and enlarged second edition that presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently.

Contenuti: Preliminaries.- The Ehrenfeucht-Fraïssé Method.- More on Games.- 0-1 Laws.- Satisfiability in the Finite.- Finite Automata and Logic: A Microcosm of Finite Model Theory.- Descriptive Complexity Theory.- Logics with Fixed-Point Operators.- Logic Programs.- Optimization Problems.- Logics for PTIME.- Quantifiers and Logical Reductions.

Dati bibliografici

Titolo: Finite Model Theory: Second Edition
Casa editrice: Springer
Data di pubblicazione: 2005
Legatura: Rilegato
Condizione: New
Edizione: seconda edizione