A Resolution Principle for a Logic with Restricted Quantifiers...

Features

• Cover Type: Paperback with 116 pages
• Published by: Springer
• Edition: 1st Edition December 23, 1991
• Written in: English
• ISBN 10 Number: 3540550348
• ISBN 13 Number: 978-3540550341
• Book Dimensions: 9.2 x 6.1 x 0.3 inches
• Weighs: 6.7 ounces

Product Description
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.