Abstract
This works is motivated by a real-world case study where it is necessary to integrate and relate existing ontologies through meta-modelling. For this, we introduce the Description Logic \(\mathcal {ALCQM}\) which is obtained from \(\mathcal {ALCQ}\) by adding statements that equate individuals to concepts in a knowledge base. In this new extension, a concept can be an individual of another concept (called meta-concept) which itself can be an individual of yet another concept (called meta meta-concept) and so on. We define a tableau algorithm for checking consistency of an ontology in \(\mathcal {ALCQM}\) and prove its correctness.
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Motz, R., Rohrer, E., Severi, P. (2015). Reasoning for \({\mathcal {ALCQ}}\) Extended with a Flexible Meta-Modelling Hierarchy. In: Supnithi, T., Yamaguchi, T., Pan, J., Wuwongse, V., Buranarach, M. (eds) Semantic Technology. JIST 2014. Lecture Notes in Computer Science(), vol 8943. Springer, Cham. https://doi.org/10.1007/978-3-319-15615-6_4
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DOI: https://doi.org/10.1007/978-3-319-15615-6_4
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