Finite Model Theory (Springer Monographs in Mathematics)
Edition: 2nd ed. 1999. 2nd printing edition
Publisher: Springer
Published: November 14, 2005
Language: eng
Format: Hardcover
Number of pages: 360
ISBN-13: 9783540287872
Subjects: Mathematical modelling; Model theory; Mathematics; Science/Mathematics; Logic; 0-1-laws; Finite model theory; Mathematics / Logic; descriptive complexity theory; fixed-point logics
Description: "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. Book jacket."--BOOK JACKET.