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Sprache: Englisch
Verlag: Center for the Study of Language and Inf, 1996
ISBN 10: 1575860244 ISBN 13: 9781575860244
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Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particular the theory of computational complexity and database theory. One of the fundamental insights of mathematical logic is that our understanding of mathematical phenomena is enriched by elevating the languages we use to describe mathematical structures to objects of explicit study. If mathematics is the science of patterns, then the media through which we discern patterns, as well as the structures in which we discern them, command our attention. It isthis aspect oflogicwhichis mostprominentin model theory,'thebranchof mathematical logic which deals with the relation between a formal language and its interpretations'. No wonder, then, that mathematical logic, and nite model theory in particular, should nd manifold applications in computer science: from specifying programs to querying databases, computer science is rife with phenomena whose understanding requires close attention to the interaction between language and structure. This volume gives a broadoverviewof some central themes of nite model theory: expressive power, descriptive complexity, and zero-one laws, together with selected applications to database theory and arti cial intelligence, es- cially constraint databases and constraint satisfaction problems. The nal chapter provides a concise modern introduction to modal logic,which emp- sizes the continuity in spirit and technique with nite model theory.
Sprache: Englisch
Verlag: Springer-Verlag New York Inc, 2007
ISBN 10: 3540004289 ISBN 13: 9783540004288
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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In den WarenkorbHardcover. Zustand: Brand New. 1st edition. 437 pages. 9.50x6.25x0.75 inches. In Stock.
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particular the theory of computational complexity and database theory. One of the fundamental insights of mathematical logic is that our understanding of mathematical phenomena is enriched by elevating the languages we use to describe mathematical structures to objects of explicit study. If mathematics is the science of patterns, then the media through which we discern patterns, as well as the structures in which we discern them, command our attention. It isthis aspect oflogicwhichis mostprominentin model theory,'thebranchof mathematical logic which deals with the relation between a formal language and its interpretations'. No wonder, then, that mathematical logic, and nite model theory in particular, should nd manifold applications in computer science: from specifying programs to querying databases, computer science is rife with phenomena whose understanding requires close attention to the interaction between language and structure. This volume gives a broadoverviewof some central themes of nite model theory: expressive power, descriptive complexity, and zero-one laws, together with selected applications to database theory and arti cial intelligence, es- cially constraint databases and constraint satisfaction problems. The nal chapter provides a concise modern introduction to modal logic,which emp- sizes the continuity in spirit and technique with nite model theory.
Taschenbuch. Zustand: Neu. Multi-Dimensional Modal Logic | Maarten Marx (u. a.) | Taschenbuch | Applied Logic Series | xiii | Englisch | 2013 | Springer | EAN 9789401064019 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Sprache: Englisch
Verlag: Kluwer Academic Publishers, 1996
ISBN 10: 079234345X ISBN 13: 9780792343455
Anbieter: Kennys Bookstore, Olney, MD, USA
Zustand: New. Modal Logic is a branch of logic with applications in many related disciplines such as computer science, philosophy, linguistics and artificial intelligence. This book treats multi-dimensional modal logics in a uniform way, linking their mathematical theory to the research tradition in algebraic logic. Series: Applied Logic Series. Num Pages: 239 pages, biography. BIC Classification: HPL. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 15. Weight in Grams: 1190. . 1996. Hardback. . . . . Books ship from the US and Ireland.
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Modal Logic is a branch of logic with applications in many related disciplines such as computer science, philosophy, linguistics and artificial intelligence. Over the last twenty years, in all of these neighbouring fields, modal systems have been developed that we call multi-dimensional. (Our definition of multi-dimensionality in modal logic is a technical one: we call a modal formalism multi-dimensional if, in its intended semantics, the universe of a model consists of states that are tuples over some more basic set.) This book treats such multi-dimensional modal logics in a uniform way, linking their mathematical theory to the research tradition in algebraic logic. We will define and discuss a number of systems in detail, focusing on such aspects as expressiveness, definability, axiomatics, decidability and interpolation. Although the book will be mathematical in spirit, we take care to give motivations from the disciplines mentioned earlier on.