Finite model theory
by Heinz-Dieter Ebbinghaus and Jörg Flum
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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Subjects
Model theory, Logica, Logique 1er ordre, Classe complexité, Modèles, théorie des, Isomorphisme, Théorie modèle, Mathematical logic, Set theory, Philosophy Of Mathematics, Mathematics, Science/Mathematics, Logic, Mathematics / Logic, Computer software, Computer science, Symbolic and mathematical Logic, Mathematical Logic and Foundations, Algorithm Analysis and Problem Complexity, Mathematical Logic and Formal Languages| Edition | Availability |
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1
Finite Model Theory: First Edition
2013, Springer London, Limited
in English
3662031825 9783662031827
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2
Finite Model Theory: Second Edition
2005, Springer London, Limited
in English
3540287884 9783540287889
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Finite Model Theory (Perspectives in Mathematical Logic)
July 27, 2004, Springer
Paperback
in English
- 2nd rev. and enlarged ed. edition
3540657584 9783540657583
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Book Details
Edition Notes
Includes bibliographical references (p. [339]-347) and index.
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| September 28, 2024 | Edited by MARC Bot | import existing book |
| July 30, 2019 | Edited by MARC Bot | associate edition with work OL84823W |
| June 30, 2019 | Edited by MARC Bot | import existing book |
| April 28, 2010 | Edited by Open Library Bot | Linked existing covers to the work. |
| October 17, 2009 | Created by WorkBot | add works page |