This monograph presents foundations for a constrained logic scheme treating constraints as a very general form of restricted quantifiers. The constraints - or quantifier restrictions - are taken from a general constraint system consisting of constraint theory and a set of distinguished constraints. The book provides a calculus for this constrained logic based on a generalization of Robinson's resolution principle. Technically, the unification procedure of the resolution rule is replaced by suitable constraint-solving methods. The calculus is proven sound and complete for the refutation of sets of constrained clauses. Using a new and elegant generalization of the notion ofa ground instance, the proof technique is a straightforward adaptation of the classical proof technique. The author demonstrates that the constrained logic scheme can be instantiated by well-known sorted logics or equational theories and also by extensions of predicate logics with general equational constraints or concept description languages.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
Zustand: New. In. Artikel-Nr. ria9783540550341_new
Anzahl: Mehr als 20 verfügbar
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph presents foundations for a constrainedlogic scheme treating constraints as a very general form ofrestricted quantifiers. The constraints - or quantifierrestrictions - are taken from a general constraint systemconsisting of constraint theory and a set of distinguishedconstraints.The book provides a calculus for this constrained logicbased on a generalization of Robinson's resolutionprinciple. Technically, the unification procedure of theresolution rule is replaced by suitable constraint-solvingmethods. The calculus is proven sound and complete for therefutation of sets of constrained clauses. Using a new andelegant generalization of the notion ofa ground instancethe proof technique is a straightforward adaptation of theclassical proof technique.The author demonstrates that the constrained logic schemecan be instantiated by well-known sorted logics orequational theories and also by extensions of predicatelogics with general equational constraints or conceptdescription languages. Artikel-Nr. 9783540550341
Anzahl: 1 verfügbar