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Finite and Algorithmic Model Theory

Finite and Algorithmic Model Theory

Finite and Algorithmic Model Theory

Javier Esparza, Technische Universität München
Christian Michaux, Université de Mons, Belgium
Charles Steinhorn, Vassar College, New York
March 2011
Paperback
9780521718202
NZD$117.95
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Paperback
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eBook

    Intended for researchers and graduate students in theoretical computer science and mathematical logic, this volume contains accessible surveys by leading researchers from areas of current work in logical aspects of computer science, where both finite and infinite model-theoretic methods play an important role. Notably, the articles in this collection emphasize points of contact and connections between finite and infinite model theory in computer science that may suggest new directions for interaction. Among the topics discussed are: algorithmic model theory, descriptive complexity theory, finite model theory, finite variable logic, model checking, model theory for restricted classes of finite structures, and spatial databases. The chapters all include extensive bibliographies facilitating deeper exploration of the literature and further research.

    • Model theoretic methods are applied to hot topics in theoretical computer science
    • Provides a gentle, accessible introduction to cutting-edge topics
    • Encourages further interaction between the computer science and mathematical logic communities

    Product details

    March 2011
    Paperback
    9780521718202
    356 pages
    226 × 153 × 18 mm
    0.52kg
    55 b/w illus.
    Available

    Table of Contents

    • Preface Javier Esparza, Christian Michaux and Charles Steinhorn
    • Automata-based presentations of infinite structures Vince Bárány, Erich Grädel and Sasha Rubin
    • Logical aspects of spatial databases Bart Kuijpers and Jan Van den Bussche
    • Some connections between finite and infinite model theory Vera Koponen
    • Algorithmic meta-theorems Stephan Kreutzer
    • Definability in classes of finite structures H. Dugald Macpherson and Charles Steinhorn
    • Model theoretic methods for fragments of FO and special classes of (finite) structures Martin Otto.
      Contributors
    • Javier Esparza, Christian Michaux, Charles Steinhorn, Vince Bárány, Erich Grädel, Sasha Rubin, Bart Kuijpers, Jan Van den Bussche, Vera Koponen, Stephan Kreutzer, H. Dugald Macpherson, Martin Otto

    • Editors
    • Javier Esparza , Technische Universität München

      Javier Esparza has held the Chair for Foundations of Software Reliability and Theoretical Computer Science at the Technische Universität München since 2007.

    • Christian Michaux , Université de Mons, Belgium

      Christian Michaux has held the Chair of Mathematical Logic at the University of Mons (UMONS, formerly Université de Mons-Hainaut) since 2000. He is currently Dean of the Faculty of Sciences.

    • Charles Steinhorn , Vassar College, New York

      Charles Steinhorn is Professor of Mathematics at Vassar College, where he has served as Chair of the Mathematics Department and Associate Dean of the Faculty.