A Resolution Principle for a Logic with Restricted Quantifiers 1991 Edition Contributor(s): Bürckert, Hans-Jürgen (Author) |
|
ISBN: 3540550348 ISBN-13: 9783540550341 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: December 1991 Annotation: 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. |
Additional Information |
BISAC Categories: - Computers | Intelligence (ai) & Semantics - Mathematics | Logic - Computers | Computer Science |
Dewey: 006.3 |
LCCN: 92138832 |
Series: Lecture Notes in Computer Science / Lecture Notes in Artific |
Physical Information: 0.28" H x 6.14" W x 9.21" (0.43 lbs) 120 pages |