Finite Model Theory (Perspectives in Mathematical Logic)
ISBN-10:
3540657584
ISBN-13:
9783540657583
Author(s): Heinz-Dieter Ebbinghaus
Edition: 2nd rev. and enlarged ed.
Description:
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 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.
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