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This 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 logic that is important in this context include fixed-point logic, transitive closure logic, 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 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.
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG; December 2005
369 pages; ISBN 9783540287889
Read online, or download in secure PDF format
369 pages; ISBN 9783540287889
Read online, or download in secure PDF format
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3540287884
9783540287872
9783540287889