Elements of Finite Model Theory

2004
ISBN: 978-3-540-21202-7
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 318 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1440 g

Reihe: Texts in Theoretical Computer Science. An EATCS Series

Emphasizes the computer science aspects of the subject.

Details applications in databases, complexity theory, and formal languages, as well as other branches of computer science.

Zielgruppe

Graduate

Autoren/Hrsg.

Libkin, Leonid

Fachgebiete

• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Zeichen- und Zahlendarstellungen
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Inhaltsverzeichnis

1 Introduction.- 2 Preliminaries.- 3 Ehrenfeucht-Fraïssé Games.- 4 Locality and Winning Games.- 5 Ordered Structures.- 6 Complexity of First-Order Logic.- 7 Monadic Second-Order Logic and Automata.- 8 Logics with Counting.- 9 Turing Machines and Finite Models.- 10 Fixed Point Logics and Complexity Classes.- 11 Finite Variable Logics.- 12 Zero-One Laws.- 13 Embedded Finite Models.- 14 Other Applications of Finite Model Theory.- References.- List of Notation.- Name Index.

Über Autor(innen)

The author has been with the department of computer science at the University of Toronto since 2000. Prior to that, he was a researcher at Bell Laboratories, and he spent two years visiting INRIA in France. His research interests are in the areas of database theory and applications of logic in computer science.

He is coauthor/editor of:

Constraint Databases
Kuper, G., Libkin, L., Paredaens, J. (Eds.), 12.04.2000, ISBN 3-540-66151-4

Finite-Model Theory and Its Applications
Grädel, E., Kolaitis, P.G. (et al.), 07.2004, ISBN 3-540-00428-9

Semantics in Databases
Thalheim, B., Libkin, L. (Eds.), Vol. 1358, 25.02.1998, ISBN 3-540-64199-8