Finite Model Theory and Its Applications

Language: English

Published by Springer, 2014

3642438601 / 9783642438608

Series: Book 27 of 45 - Texts in Theoretical Computer Science. An EATCS

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Druck auf Anfrage Neuware - Printed after ordering - Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particular the theory of computational complexity and database theory. One of the fundamental insights of mathematical logic is that our understanding of mathematical phenomena is enriched by elevating the languages we use to describe mathematical structures to objects of explicit study. If mathematics is the science of patterns, then the media through which we discern patterns, as well as the structures in which we discern them, command our attention. It isthis aspect oflogicwhichis mostprominentin model theory,'thebranchof mathematical logic which deals with the relation between a formal language and its interpretations'. No wonder, then, that mathematical logic, and nite model theory in particular, should nd manifold applications in computer science: from specifying programs to querying databases, computer science is rife with phenomena whose understanding requires close attention to the interaction between language and structure. This volume gives a broadoverviewof some central themes of nite model theory: expressive power, descriptive complexity, and zero-one laws, together with selected applications to database theory and arti cial intelligence, es- cially constraint databases and constraint satisfaction problems. The nal chapter provides a concise modern introduction to modal logic,which emp- sizes the continuity in spirit and technique with nite model theory.

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Title
Finite Model Theory and Its Applications
Author
Maarten Marx
Publisher
Springer
Publication year
2014
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642438601
ISBN 13
9783642438608
Item weight
686 grams
Dimensions
235x155x25 mm
Series
Book 27 of 45: Texts in Theoretical Computer Science. An EATCS

AHA-BUCH GmbH

Einbeck, Germany

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