Finite Model Theory

Springer (2005)
Abstract
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 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
Keywords complexity   computational   descriptive   finite   generalized   model   quantifiers   theory
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ISBN(s) 3540287876   9783540287872
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Tero Tulenheimo (2009). Hybrid Logic Meets If Modal Logic. Journal of Logic, Language and Information 18 (4):559-591.

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