Finite Model Theory: Second Edition (Springer Monographs in Mathematics)

Ebbinghaus, Heinz-Dieter,Flum, JÃ rg

ISBN 10: 3540287876 / ISBN 13: 9783540287872

Editore: Springer, 2005

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Codice articolo S_374063795

Dati bibliografici

• Titolo: Finite Model Theory: Second Edition (Springer Monographs in Mathematics)
• Editore: Springer
• Data di pubblicazione: 2005
• Lingua: Inglese
• ISBN 10: 3540287876
• ISBN 13: 9783540287872
• Rilegatura: hardcover
• Edizione: seconda edizione
• Condizione: Good

Descrizione articolo

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.