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[Dbworld] Book announcement: "Elements of Finite Model Theory": msg#00035

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Subject: [Dbworld] Book announcement: "Elements of Finite Model Theory"


ELEMENTS OF FINITE MODEL THEORY
by Leonid Libkin
Springer Verlag, 2004, XIV, 315 p., Hardcover, ISBN 3-540-21202-7.
(Series: Texts in Theoretical Computer Science.)
http://www.cs.toronto.edu/~libkin/fmt

From the back cover: This book is an introduction to finite model
theory which stresses the computer science origins of the area. In
addition to presenting the main techniques for analyzing logics over
finite models, the book deals extensively with applications in
databases, complexity theory, and formal languages, as well as other
branches of computer science. It covers Ehrenfeucht-Fraisse games,
locality-based techniques, complexity analysis of logics, including
the basics of descriptive complexity, second-order logic and its
fragments, connections with finite automata, fixed point logics,
finite variable logics, zero-one laws, and embedded finite models,
and gives a brief tour of recently discovered applications of finite
model theory. This book can be used both as an introduction to the
subject, suitable for a one- or two-semester graduate course, or as
reference for researchers who apply techniques from logic in computer
science.

Table of contents:
1. Introduction
2. Preliminaries
3. Ehrenfeucht-Fraisse 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.
Bibliography, List of Notation, Index, Name Index.

To order: http://www.springeronline.com/.
Prices - regular: EUR 39.95, US$ 54.95, GBP 30.50
for Springer authors: EUR 26.63, US$ 36.63, GBP 20.33.
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