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

B??rckert, Hans-J??rgen

 
9783540550341: A Resolution Principle for a Logic with Restricted Quantifiers (Lecture Notes in Computer Science, 568, Band 568)
Softcover
ISBN 10: 3540550348 ISBN 13: 9783540550341
Verlag: Springer, 2008

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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Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540550348
ISBN 13 
9783540550341
Einband
Taschenbuch
Anzahl der Seiten
132
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