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A Resolution Principle for a Logic with Restricted Quantifiers / by Hans-Jürgen Bürckert
(Lecture Notes in Artificial Intelligence. ISSN:29459141 ; 568)

1st ed. 1991.
出版者 (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年 1991
本文言語 英語
大きさ XII, 120 p : online resource
著者標目 *Bürckert, Hans-Jürgen author
SpringerLink (Online service)
件 名 LCSH:Computer science
LCSH:Artificial intelligence
LCSH:Machine theory
LCSH:Mathematical logic
FREE:Theory of Computation
FREE:Artificial Intelligence
FREE:Formal Languages and Automata Theory
FREE:Mathematical Logic and Foundations
一般注記 Preliminaries -- Unification -- A logic with restricted quantifiers -- Equational constraint theories -- Conclusion
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
HTTP:URL=https://doi.org/10.1007/3-540-55034-8
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分 類 LCC:QA75.5-76.95
DC23:004.0151
書誌ID 4001090017
ISBN 9783540466703

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