Finite model theory /
Finite model theory has its origins in classical model theory, but owes its systematic development to research from complexity theory. The book presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their comp...
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| Format: | eBook |
| Language: | English |
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Berlin ; New York :
Springer,
[1995]
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| Series: | Perspectives in mathematical logic.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | Finite model theory has its origins in classical model theory, but owes its systematic development to research from complexity theory. 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 resp. parts on model theory and descriptive complexity theory may be read independently. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xv, 327 pages) : illustrations. |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages 313-317) and index. |
| ISBN: | 9783662031827 (electronic bk.) 3662031825 (electronic bk.) |