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Finite and algorithmic model theory / edited by Javier Esparza, Christian Michaux, Charles Steinhorn.

Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 379.Publisher: Cambridge : Cambridge University Press, 2011Description: 1 online resource (xi, 341 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511974960 (ebook)
Other title:
  • Finite & Algorithmic Model Theory
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 511.3/4 22
LOC classification:
  • QA9.7 .F565 2011
Online resources:
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 -- Definability in classes of finite structures / Dugald Macpherson and Charles Steinhorn -- Algorithmic meta-theorems / Stephan Kreutzer -- Model theoretic methods for fragments of FO and special classes of (finite) structures / Martin Otto.
Summary: 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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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 -- Definability in classes of finite structures / Dugald Macpherson and Charles Steinhorn -- Algorithmic meta-theorems / Stephan Kreutzer -- Model theoretic methods for fragments of FO and special classes of (finite) structures / Martin Otto.

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.

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