Book announcement: Elements of Finite Model Theory

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Date: 07/10/04

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                       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/.

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