Abstract
We revisit non-monotonic description logics based on circumscription (with preferences) and prove several decidability results for their satisfiability problem. In particular, we consider circumscribed description logics without the finite model property (DL-Lite\(_{\mathcal{F}}\) and \(\mathcal{ALCFI}\)) and with fixed roles (DL-Lite\(_{\mathcal{F}}\) and a fragment of DL-Lite\(_{\mathcal{R}}\)), improving upon previous decidability results that are limited to logics which have the finite model property and do not allow to fix roles during minimization.
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Bonatti, P., Faella, M., Lutz, C., Sauro, L., Wolter, F. (2015). Decidability of Circumscribed Description Logics Revisited. In: Eiter, T., Strass, H., Truszczyński, M., Woltran, S. (eds) Advances in Knowledge Representation, Logic Programming, and Abstract Argumentation. Lecture Notes in Computer Science(), vol 9060. Springer, Cham. https://doi.org/10.1007/978-3-319-14726-0_8
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DOI: https://doi.org/10.1007/978-3-319-14726-0_8
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