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Prolog Extensions Based on Tableau Calculus

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Proceedings of the Ninth International Joint Conference on Artificial Intelligence. Logic Programming. Pages 730-731.

Abstract

The intention of this paper is to help bridging the gap between logic programming and theorem proving. lt presents the design of a Gentzen type proof search procedure, based on classical tableau calculus, for knowledge bases consisting of arbitrary frrst order formulas. At each proof search step, when a new formula is to be chosen from the knowledge base, the procedure chooses in such a way that the search space is small. When applied to a Horn clause knowledge base and an atomic goal, it performs the same proof search steps as any PROLOGinterpreter would do. Hence, PROLOG can be viewed as a special Gentzen type procedure just as it is a special (namely, linear input) resolution procedure.

Wolfgang Schönfeld. 1985. Prolog Extensions Based on Tableau Calculus. In Proceedings of the Ninth International Joint Conference on Artificial Intelligence, IJCAI-85. IJCAI, 730–731. https://ijcai.org/proceedings/1985/144
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