Reasoning in Description Logic with Semantic Tableau Binary Trees

نویسنده

  • Alena Lukasová
چکیده

An alternative version of the tableau decision making algorithm defined in the ”Handbook of Description Logics” (Baader et col.) is presented. It is a version of semi-decidable tableau formal system that corresponds with that one of first order logic and shares its semantic soundness and completeness. In examples the advantages of the transparent tree-style representation algorithm, comparing with the algorithm of the handbook, is demonstrated. It is shown that the tree representation of the tableau proof gives a possibility of transparent creation of models in the cases of direct tableau proofs. On the base of the properties of indirect tableau proofs is possible to define a dual Gentzen-like axiomatic system for direct generation of theories consisting of logical consequences of knowledge bases.

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تاریخ انتشار 2007