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Record Nr. |
UNISA996465320303316 |
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Autore |
Bürckert Hans-Jürgen |
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Titolo |
A Resolution Principle for a Logic with Restricted Quantifiers [[electronic resource] /] / by Hans-Jürgen Bürckert |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1991 |
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ISBN |
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Edizione |
[1st ed. 1991.] |
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Descrizione fisica |
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1 online resource (XII, 120 p.) |
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Collana |
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Lecture Notes in Artificial Intelligence ; ; 568 |
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Disciplina |
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Soggetti |
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Computers |
Artificial intelligence |
Mathematical logic |
Theory of Computation |
Artificial Intelligence |
Mathematical Logic and Formal Languages |
Mathematical Logic and Foundations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Preliminaries -- Unification -- A logic with restricted quantifiers -- Equational constraint theories -- Conclusion. |
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Sommario/riassunto |
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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 |
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