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AICOM
2006

A Compact Representation for Least Common Subsumers in the description logic ALE

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A Compact Representation for Least Common Subsumers in the description logic ALE
This paper introduces a compact representation which helps to avoid the exponential blow-up in space of the Least Common Subsumer (lcs) of two ALEconcept descriptions. Based on the compact representation we define a space of specific graphs which represents all ALE-concept descriptions including the lcs. Next, we propose an algorithm exponential in time and polynomial in space for deciding subsumption between concept descriptions represented by graphs in this space. These results provide better understanding of the double exponential blow-up of the approximation of ALC-concept descriptions by ALE-concept descriptions: double exponential size of the approximation in the ordinary representation is unavoidable in the worst case.
Chan Le Duc, Nhan Le Thanh, Marie-Christine Rousse
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2006
Where AICOM
Authors Chan Le Duc, Nhan Le Thanh, Marie-Christine Rousset
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