Perspectives in Mathematical Logic

Finite Model Theory

First Edition

Authors: Ebbinghaus, Heinz-Dieter, Flum, Jörg

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About this book

Finite model theory has its origins in classical model theory, but owes its systematic development to research from complexity theory. The book presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. Other topics include DATALOG languages, quantifiers and oracles, 0-1 laws, and optimization and approximation problems. The book is written in such a way that the resp. parts on model theory and descriptive complexity theory may be read independently.

Reviews

"..a concise exposition that is at the same time comprehensive and lucid, providing good motivations and clear examples. The book can be thoroughly recommended for self-study and reference, or for an advanced course on this vital new subject." New Zealand Mathematical Society Newsletter

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-3-662-03182-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Finite Model Theory
Book Subtitle
First Edition
Authors
Series Title
Perspectives in Mathematical Logic
Copyright
1995
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-03182-7
DOI
10.1007/978-3-662-03182-7
Series ISSN
0172-6641
Edition Number
1
Number of Pages
XV, 327
Topics