Finite Model Theory and Its Applications

By: Gradel, Erich et alMaterial type: TextTextLanguage: English Series: Texts in Theoretical Computer Science : An EATCS seriesPublication details: Heidelberg Springer 2007Description: xi, 437pISBN: 9783540004288Subject(s): Computational complexity | Constraint databases | Mathematics
Contents:
Unifying Themes in Finite Model Theory On the Expressive Power of Logics on Finite Models Finite Model Theory and Descriptive Complexity Logic and Random Structures Embedded Finite Models and Constraint Databases A Logical Approach to Constraint Satisfaction Local Variations on a Loose Theme: Modal Logic and Decidability
Summary: "This book gives a broad overview of central topics of finite model theory - expressive power, descriptive complexity, and zero-one laws - 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." "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 applications of logic to computer science."--Jacket
Item type: BOOKS
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Unifying Themes in Finite Model Theory
On the Expressive Power of Logics on Finite Models
Finite Model Theory and Descriptive Complexity
Logic and Random Structures
Embedded Finite Models and Constraint Databases
A Logical Approach to Constraint Satisfaction
Local Variations on a Loose Theme: Modal Logic and Decidability

"This book gives a broad overview of central topics of finite model theory - expressive power, descriptive complexity, and zero-one laws - 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." "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 applications of logic to computer science."--Jacket

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