A Resolution Principle for a Logic with Restricted Quantifiers: 568 (Lecture Notes in Computer Science) - Softcover

B??rckert, Hans-J??rgen

 
9783540550341: A Resolution Principle for a Logic with Restricted Quantifiers: 568 (Lecture Notes in Computer Science)

Inhaltsangabe

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.

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Reseña del editor

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.

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9780387550343: A Resolution Principle for a Logic With Restricted Quantifiers (Lecture Notes in Computer Science)

Vorgestellte Ausgabe

ISBN 10:  0387550348 ISBN 13:  9780387550343
Verlag: Springer-Verlag, 1991
Softcover