Finite Model Theory and Its Applications (Texts in Theoretical Computer Science. An EATCS Series)

Description

Finite Model Theory and Its Applications (Texts in Theoretical Computer Science. An EATCS Series)

By Erich Grädel, Phokion G. Kolaitis, Leonid Libkin, Maarten Marx, Joel Spencer, Moshe Y. Vardi, Yde Venema, Scott Weinstein,

Publisher: Springer
Number Of Pages: 437
Publication Date: 2007-06-11
Sales Rank: 621148
ISBN / ASIN: 3540004289
EAN: 9783540004288
Binding: Hardcover
Manufacturer: Springer
Studio: Springer

This book gives a comprehensive overview of central themes of finite model theory ¨C expressive power, descriptive complexity, and zero-one laws ¨C together with selected applications relating to database theory and artificial intelligence, especially constraint databases and constraint satisfaction problems. The final chapter provides a concise modern introduction to modal logic, emphasizing the continuity in spirit and technique with finite model theory. This underlying spirit involves the use of various fragments of and hierarchies within first-order, second-order, fixed-point, and infinitary logics to gain insight into phenomena in complexity theory and combinatorics.

The book emphasizes the use of combinatorial games, such as extensions and refinements of the Ehrenfeucht-Fraiss¨¦ pebble game, as a powerful way to analyze the expressive power of such logics, and illustrates how deep notions from model theory and combinatorics, such as o-minimality and treewidth, arise naturally in the application of finite model theory to database theory and AI.

Students of logic and computer science will find here the tools necessary to embark on research into finite model theory, and all readers will experience the excitement of a vibrant area of the application of logic to computer science.

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