Abstract
This paper analyzes the probabilistic description logic P-\(\mathcal{SROIQ}\) as a fragment of well-known first-order probabilistic logic (FOPL).P-\(\mathcal{SROIQ}\) was suggested as a language that is capable of representing and reasoning about different kinds of uncertainty in ontologies, namely generic probabilistic relationships between concepts and probabilistic facts about individuals. However, some semantic properties of P-\(\mathcal{SROIQ}\) have been unclear which raised concerns regarding whether it could be used for representing probabilistic ontologies. In this paper we provide an insight into its semantics by translating P-\(\mathcal{SROIQ}\) into FOPL with a specific subjective semantics based on possible worlds. We prove faithfulness of the translation and demonstrate the fundamental nature of some limitations of P-\(\mathcal{SROIQ}\). Finally, we briefly discuss the implications of the exposed semantic properties of the logic on probabilistic modeling.
This work has been carried out when the first author was a doctoral student at the University of Manchester, UK.
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Klinov, P., Parsia, B. (2013). Understanding a Probabilistic Description Logic via Connections to First-Order Logic of Probability. In: Bobillo, F., et al. Uncertainty Reasoning for the Semantic Web II. URSW URSW URSW UniDL 2010 2009 2008 2010. Lecture Notes in Computer Science(), vol 7123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35975-0_3
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DOI: https://doi.org/10.1007/978-3-642-35975-0_3
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