Finite Model Theory (Springer Monographs in Mathematics) 2nd Edition by Heinz-Dieter Ebbinghaus (PDF)

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book presents many nice topics in finite model theory. The material on infinitary logic and the finite model properties are nicely presented here and not really available elsewhere. The material on Finite Automata and Logic, and on Descriptive Complexity , is available and better done in other books. This entire field is a cross of computer science and math, and this book is strong on the math end, but not on the computer science angle.

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