A Resolution Principle for a Logic with Restricted Quantifiers (Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence)

B?rckert, Hans-J?rgen

ISBN 10: 3540550348 / ISBN 13: 9783540550341

Published by Springer, 1991

About this Item

0387550348 Ex-library paperback in very nice condition with the usual markings and attachments.

Seller Inventory # UTD14a-2008

Bibliographic Details

• Title: A Resolution Principle for a Logic with Restricted Quantifiers (Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence)
• Publisher: Springer
• Publication Date: 1991
• Language: English
• ISBN 10: 3540550348
• ISBN 13: 9783540550341
• Binding: Paperback
• Condition: Very Good
• Weight: 4 ounces

About this title

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 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.