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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)
版 | 1st ed. 1991. |
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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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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540466703 |
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EB00225243 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA75.5-76.95 DC23:004.0151 |
書誌ID | 4001090017 |
ISBN | 9783540466703 |