finite model theory second von ebbinghaus heinz dieter (7 Ergebnisse)

Paperback. Zustand: Fine. Second edition. 23.5 x 15.5 cm. 360pp. Revised and enlarged second edition. Part of the series perspectives in mathematical logic. From the back cover: This 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 vertain 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.

hardcover. Zustand: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!

Brand new book. Fast ship. Please provide full street address as we are not able to ship to P O box address.

Zustand: New.

Zustand: New. In.

hardcover. Zustand: New. In shrink wrap. Looks like an interesting title!

Buch. Zustand: Neu. Neuware - Finite model theory, the model theory of finite structures, has roots in clas sical model theory; however, its systematic development was strongly influ enced by research and questions of complexity theory and of database theory. Model theory or the theory of models, as it was first named by Tarski in 1954, may be considered as the part of the semantics of formalized languages that is concerned with the interplay between the syntactic structure of an axiom system on the one hand and (algebraic, settheoretic, . . . ) properties of its models on the other hand. As it turned out, first-order language (we mostly speak of first-order logic) became the most prominent language in this respect, the reason being that it obeys some fundamental principles such as the compactness theorem and the completeness theorem. These principles are valuable modeltheoretic tools and, at the same time, reflect the expressive weakness of first-order logic. This weakness is the breeding ground for the freedomwhich modeltheoretic methods rest upon. By compactness, any first-order axiom system either has only finite models of limited cardinality or has infinite models. The first case is trivial because finitely many finite structures can explicitly be described by a first-order sentence. As model theory usually considers all models of an axiom system, modeltheorists were thus led to the second case, that is, to infinite structures. In fact, classical model theory of first-order logic and its generalizations to stronger languages live in the realm of the infinite.