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Book synopsis

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 there futation of sets of constrained clauses. Using a new and elegant generalization of the notion of a ground instance, the proof technique is a straight forward adaptation of the classical proof technique. The author demonstrates that the constrained logic scheme can be instantiated by well-known sorted logics ore quational theories and also by extensions of predicatelogics with general equational constraints or concept description languages.

Book details

Book category Books in English Computing & information technology Computer science Artificial intelligence

• Full title: A Resolution Principle for a Logic with Restricted Quantifiers
• Author: Hans-Jürgen Bürckert
• Language: English
• Binding: Paperback
• Number of pages: 120
• EAN: 9783540550341
• ISBN: 3540550348
• ID: 05274239
• Publisher: Springer, Berlin
• Weight: 230 g
• Dimensions: 234 × 156 × 7 mm
• Published: 1991

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