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Sprache: Englisch
Verlag: Berlin/Heidelberg, Springer, 2007
ISBN 10: 3540004289 ISBN 13: 9783540004288
8°, gebundene Ausgabe. Zustand: Sehr gut. XI/437 Seiten : Ausgetragenes Bibliotheksexemplar, fast top erhalten B05-03-06A Sprache: Englisch Gewicht in Gramm: 839.
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Sprache: Englisch
Verlag: Springer-Verlag New York Inc, 2007
ISBN 10: 3540004289 ISBN 13: 9783540004288
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In den WarenkorbHardcover. Zustand: Brand New. 1st edition. 437 pages. 9.50x6.25x0.75 inches. In Stock.
Hardcover. Zustand: Neu. Neu Neuware, auf Lager - 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.
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This festschrift honors Johann A. Makowsky on the occasion of his 75th birthday. Gathering 24 research articles authored by scientific companions, friends, and colleagues, it covers a broad variety of areas to which Johann A. Makowsky made significant contributions himself. These include several areas of mathematical logic and its relevance for Computer Science including Graph polynomials, Algorithms for graph invariants, Algorithms and descriptive complexity theory, complexity of real and algebraic computations, Mathematical logic, Model theory, Design and theory of databases, Logic in computer science and AI and Logic programming. The volume is enriched with 4 biographical essays, and two contributions by the celebrant himself.
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