The Distributive, Graded Lattice of 𝓔𝓛 Concept Descriptions and its Neighborhood Relation (Extended Version)

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Abstract

For the description logic 𝓔𝓛, we consider the neighborhood relation which is induced by the subsumption order, and we show that the corresponding lattice of 𝓔𝓛 concept descriptions is distributive, modular, graded, and metric. In particular, this implies the existence of a rank function as well as the existence of a distance function.

Details

Original languageEnglish
Publication statusPublished - 12 Jun 2018
Peer-reviewedYes

External IDs

ORCID /0000-0003-0219-0330/work/153109391