A Resolution Principle for a Logic with Restricted Quantifiers
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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A Resolution Principle for a Logic with Restricted Quantifiers
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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A Resolution Principle for a Logic with Restricted Quantifiers
120
A Resolution Principle for a Logic with Restricted Quantifiers
120Paperback(1991)
$54.99
54.99
In Stock
Product Details
| ISBN-13: | 9783540550341 |
|---|---|
| Publisher: | Springer Berlin Heidelberg |
| Publication date: | 12/23/1991 |
| Series: | Lecture Notes in Computer Science , #568 |
| Edition description: | 1991 |
| Pages: | 120 |
| Product dimensions: | 6.10(w) x 9.25(h) x 0.36(d) |
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