Proceedings

Path Resolution with Link Deletion

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Proceedings of the Ninth International Joint Conference on Artificial Intelligence. Theorem Proving. Pages 1187-1192.

Abstract

We introduce a graphical representation of quantifier-free predicate calculus formulas and a new rule of inference which employs this representation . The new rule is an amalgamation of resolution and Prawitz analysis which we call path resolution. Path resolution allows Prawitz analysis of an arbitrary subgraph of the graph representing a formula. If such a subgraph is not !arge enough to demoostrate a contradiction, a path resolvent of the subgraph may be generated with respect to the entire graph. This generalizes the notions of !arge inference present in hyperresolution, clash-resolution, NC-resolution, and ULresolution. Two forms of path resolution are described for which deletion of the links resolved upon preserves the spanning propcrty .

Neil V. Murray, and Erik Rosenthal. 1985. Path Resolution with Link Deletion. In Proceedings of the Ninth International Joint Conference on Artificial Intelligence, IJCAI-85. IJCAI, 1187–1192. https://ijcai.org/proceedings/1985/241
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