Finite model theory
Autoren
Parameter
Mehr zum Buch
Finite model theory has its origin 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.
Buchkauf
Finite model theory, Heinz-Dieter Ebbinghaus
- Sprache
- Erscheinungsdatum
- 1995
Lieferung
Zahlungsmethoden
Deine Änderungsvorschläge
- Titel
- Finite model theory
- Sprache
- Deutsch
- Autor*innen
- Heinz-Dieter Ebbinghaus
- Verlag
- Springer
- Erscheinungsdatum
- 1995
- ISBN10
- 354060149X
- ISBN13
- 9783540601494
- Reihe
- Perspectives in mathematical logic
- Kategorie
- Mathematik
- Beschreibung
- Finite model theory has its origin 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.