A Resolution Principle for a Logic With Restricted Quantifiers (Lecture Notes in Computer Science / Artificial Intelligence 568) - Softcover

Burckert. H.-J.

Softcover

ISBN 10: 0387550348 ISBN 13: 9780387550343

Publisher: Springer-Verlag, 1991

Synopsis

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 of a 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.

Edition details

• Publisher: Springer-Verlag
• Publication date: 1991
• Language: English
• ISBN 10: 0387550348
• ISBN 13: 9780387550343
• Binding: Paperback
• Number of pages: 116