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A Problem Reduction Model for Non-Independent Subproblems

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Proceedings of the Fourth International Joint Conference on Artificial Intelligence. Search Techniques. Pages 340-343.

Abstract

A hypergraph model is introduced, which besides including the AND/OR graph and state space graph models as particulars, is adequate for problem solving tasks involving non independent subproblems. The hypergraph model is shown to be grounded on a nonstandard notion of conjunction such that the truth of a conjunction does not necessarily imply the truth of the conjuncts. A hypergraph search algorithm is given and shown to be equivalent to a resolution-based theorem prowr in a first order logic augmented with the special conjunction. A characterization is given of the class of problems requiring the full descriptive power of our model. The class includes problems involving resources, plan formation, simplification of predicate logic programs.

Giorgio Levi, and Franco Sirovich. 1975. A Problem Reduction Model for Non-Independent Subproblems. In Proceedings of the Fourth International Joint Conference on Artificial Intelligence, IJCAI-75. IJCAI, 340–343. https://ijcai.org/proceedings/1975/52
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