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....

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Bibliografische gegevens
Hoofdauteur: Bürckert, Hans-Jürgen
Formaat: Livre numérique
Taal:Anglais
Gepubliceerd in: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Reeks:Lecture notes in computer science. Lecture notes in artificial intelligence 568
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Opmerking: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• A resolution principle for a logic with restricted quantifiers, H.-J. Bürckert, Berlin, Springer-Verlag, 1991, 1 vol. (X-116 p.), Lecture notes in computer science, 3-540-55034-8
• A Resolution Principle for a Logic with Restricted Quantifiers, Texte imprimé, 9783662169322
Omschrijving
Samenvatting: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.
Beschrijving item:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540466703 (PDF)
ISSN:1611-3349
2945-9141
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