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Finite Model Theory: Springer Monographs in Mathematics Heinz-Dieter Ebbinghaus

Finite Model Theory: Springer Monographs in Mathematics

Heinz-Dieter Ebbinghaus

Published January 1st 2006
ISBN : 9781280413131
ebook
362 pages
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 About the Book 

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 thisMoreThe 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. The 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 respective parts on model theory and descriptive complexity theory may be read independently. This second edition is a thoroughly revised and enlarged version of the original text.