Finite model theory
著者
書誌事項
Finite model theory
（Springer monographs in mathematics）
Springer, c2006
2nd. rev. & enl. ed. 1999
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注記
"The softcover edition was published in 1999 by Springer-Verlag under the same title in the siries Perspectives in Matehmatical Logic. "--T.p. verso
Includes bibliographical references (p. [339]-347)and index
内容説明・目次
内容説明
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.
目次
Preliminaries.- The Ehrenfeucht-Fraisse Method.- More on Games.- 0-1 Laws.- Satisfiability in the Finite.- Finite Automata and Logic: A Microcosm of Finite Model Theory.- Descriptive Complexity Theory.- Logics with Fixed-Point Operators.- Logic Programs.- Optimization Problems.- Logics for PTIME.- Quantifiers and Logical Reductions.
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