Complexity of the Description Logic ALCM

November 12, 2015 ยท The Ethereal ยท ๐Ÿ› International Conference on Principles of Knowledge Representation and Reasoning

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Monica Martinez, Edelweis Rohrer, Paula Severi arXiv ID 1511.03749 Category cs.LO: Logic in CS Cross-listed cs.AI Citations 5 Venue International Conference on Principles of Knowledge Representation and Reasoning Last Checked 5 months ago
Abstract
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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