Springer Monographs in Mathematics: Finite Model Theory: Second Edition (Hardcover)

Heinz-Dieter Ebbinghaus; Jorg Flum
Springer
 9783540287872
3-540-28787-6

This is a thoroughly revised and enlarged second edition that presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures.

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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 book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently.