Finite Model Theory (eBook)

eBook Download: PDF

2006 | 2. Auflage
XI, 360 Seiten
Springer-Verlag
978-3-540-28788-9 (ISBN)

Infos

The book 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. Other topics include DATALOG languages, quantifiers and oracles, 0-1 laws, and optimization and approximation problems. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently. This second edition is a thoroughly revised and enlarged version of the original text.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 1.1.2006
• Reihe/Serie: Springer Monographs in Mathematics
• Sprache: englisch
• Themenwelt: Geisteswissenschaften ► Philosophie ► Logik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Schlagworte: 0-1-laws • Complexity • Complexity theory • descriptive complexity theory • Finite model theory • fixed-point logics • model Theory
• ISBN-10: 3-540-28788-4 / 3540287884
• ISBN-13: 978-3-540-28788-9 / 9783540287889