Finding informative commonalities in concept collections
Proceedings of the 17th ACM conference on Information and knowledge management
Partial and Informative Common Subsumers in Description Logics
Proceedings of the 2008 conference on ECAI 2008: 18th European Conference on Artificial Intelligence
Computing least common subsumers in description logics with existential restrictions
IJCAI'99 Proceedings of the 16th international joint conference on Artifical intelligence - Volume 1
Non-standard inferences in description logics
Non-standard inferences in description logics
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Computing least common subsumers (lcs) is an inference task that can be used to support the "bottom-up" construction of knowledge bases for KR systems based on description logics. Previous work on how to compute the lcs has concentrated on description logics that allow for universal value restrictions, but not for existential restrictions. The main new contribution of this paper is the treatment of description logics with existential restrictions. More precisely, we show that, for the description logic ALE (which allows for conjunction, universal value restrictions, existential restrictions, negation of atomic concepts, as well as the top and the bottom concept), the lcs always exists and can effectively be computed. Our approach for computing the lcs is based on an appropriate representation of concept descriptions by certain trees, and a characterization of subsumption by homomorphisms between these trees. The lcs operation then corresponds to the product operation on trees.