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Most Specific Generalizations w.r.t. General EL-TBoxes

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Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence. Pages 1191-1196.

Abstract

In the area of Description Logics the least common subsumer (lcs) and the most specific concept (msc) are inferences that generalize a set of concepts or an individual, respectively, into a single concept. If computed w.r.t. a general EL-TBox neither the lcs nor the msc need to exist. So far in this setting no exact conditions for the existence of lcs- or msc-concepts are known. This paper provides necessary and sufficient conditions for the existence of these two kinds of concepts. For the lcs of a fixed number of concepts and the msc we show decidability of the existence in PTime and polynomial bounds on the maximal role-depth of the lcs- and msc-concepts. This bound allows to compute the lcs and the msc, respectively.

Benjamin Zarrieß, and Anni-Yasmin Turhan. 2013. Most Specific Generalizations w.r.t. General EL-TBoxes. In Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence, IJCAI-13. IJCAI, 1191–1196. https://ijcai.org/proceedings/2013/179
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