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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Grundlagen Elements of Finite Model Theory
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Elements of Finite Model Theory
Leonid Libkin (Unbekannter Einband, Englisch)
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Beschreibung
Finite model theory is an area of mathematical logic that grew out of computer science applications. The main sources of motivational examples for finite model theory are found in database theory, computational complexity, and formal languages, although in recent years connections with other areas, such as formal methods and verification, and artificial intelligence, have been discovered. The… birth of finite model theory is often identified with Trakhtenbrot's result from 1950 stating that validity over finite models is not recursively enumerable; in other words, completeness fails over finite models. The tech nique of the proof, based on encoding Turing machine computations as finite structures, was reused by Fagin almost a quarter century later to prove his cel ebrated result that put the equality sign between the class NP and existential second-order logic, thereby providing a machine-independent characterization of an important complexity class. In 1982, Immerman and Vardi showed that over ordered structures, a fixed point extension of first-order logic captures the complexity class PTIME of polynomial time computable propertiE~s. Shortly thereafter, logical characterizations of other important complexity classes were obtained. This line of work is often referred to as descriptive complexity. A different line of finite model theory research is associated with the de velopment of relational databases. By the late 1970s, the relational database model had replaced others, and all the basic query languages for it were es sentially first-order predicate calculus or its minor extensions. 106,99 €
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Technische Daten
Erscheinungsdatum
19.02.2010
Sprache
Englisch
EAN
9783642059483
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Texts in Theoretical Computer Science. An EATCS Series
Sonderedition
Nein
Autor
Leonid Libkin
Seitenanzahl
318
Einbandart
Broschiert
Schlagwörter
Automat, Variable, automata, complexity, complexity theory, formal language, logic, model theory, algorithm analysis and problem complexity
Thema-Inhalt
PBCD - Mathematik: Logik
PBC - Mathematische Grundlagen
UYA - Theoretische Informatik
UMB - Algorithmen und Datenstrukturen
UN - Datenbanken
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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