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Complexity of the Description Logic ALCM

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arxiv 1511.03749 v1 pith:HLI36KB4 submitted 2015-11-12 cs.LO cs.AI

classification cs.LOcs.AI
keywords alcmalgorithmbasecheckingconsistencydescriptionknowledgelogic
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In this paper we show that the problem of checking consistency of a knowledge base in the Description Logic ALCM is ExpTime-complete. The M stands for meta-modelling as defined by Motz, Rohrer and Severi. To show our main result, we define an ExpTime Tableau algorithm as an extension of an algorithm for checking consistency of a knowledge base in ALC by Nguyen and Szalas.

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