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A Note on Backward Dual Resolution and Its Application to Proving Completeness of Rule-Based Systems

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Proceedings of the Thirteenth International Joint Conference on Artificial Intelligence. Automated Reasoning. Pages 132-136.

Abstract

In this paper, a method of theorem proving dual to resolution method is presented in brief. The investigated method is called backward dual resolution or bd-resolution, for short. The main idea of bd-resolution consists in proving validity of a formula in disjunctive normal form, by generating an empty tautology formula from it; it is shown that the initial formula is a logical consequence of the obtained tautology. An idea of the theorem proving method is outlined, and its application to checking completeness of rulebased systems is investigated. A formal definition of completeness and specific completeness are stated and an algorithm for completeness verification is proposed . Moreover, a generalized bd-resolution aimed at proving completeness under intended interpretation is defined.

Antoni Ligeza. 1993. A Note on Backward Dual Resolution and Its Application to Proving Completeness of Rule-Based Systems. In Proceedings of the Thirteenth International Joint Conference on Artificial Intelligence, IJCAI-93. IJCAI, 132–136. https://ijcai.org/proceedings/1993/19
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