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OI-implication: Soundness and Refutation Completeness

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Proceedings of the Seventeenth International Joint Conference on Artificial Intelligence. Pages 847-851.

Abstract

Weakening implication by assuming the object identity bias allows for both a model-theoretical and a proof-theoretical definition of a novel and more manageable ordering relationship over clausal spaces. In this paper, we give two important results, namely the soundness and the refutation completeness (through a subsumption theorem) of the underlying derivation procedure, that make this relationship particularly appealing for inducing a generalization model for clausal search spaces.

Floriana Esposito, Nicola Fanizzi, Stefano Ferilli, and Giovanni Semeraro. 2001. OI-implication: Soundness and Refutation Completeness. In Proceedings of the Seventeenth International Joint Conference on Artificial Intelligence, IJCAI-01. IJCAI, 847–851. https://ijcai.org/proceedings/2001/116
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