Proceedings

A Many-Sorted Resolution Based on an Extension of a First-Order Language

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Proceedings of the Ninth International Joint Conference on Artificial Intelligence. Theorem Proving. Pages 1175-1176.

Abstract

A type of problern is first identified which may occur when a resolution scheme is applied to a many-sorted theory. To avoid euch a problem, an extension of the rlr!lt·order langnage called one-1orted language witla aggregale tJariable• is introduced. Aggregate variables allow the introduction of range-restricted variables dynamically in the structure which is expanded by definitions. This allows the introduction of a new resolution scheme called UWR-re10lution . It ean be shown that the UWR-resolution is more efficient than the existing schemes.

Keki B. Irani, and D. G. Shin. 1985. A Many-Sorted Resolution Based on an Extension of a First-Order Language. In Proceedings of the Ninth International Joint Conference on Artificial Intelligence, IJCAI-85. IJCAI, 1175–1176. https://ijcai.org/proceedings/1985/238
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