Understanding a Probabilistic Description Logic via Connections to First-Order Logic of Probability

  • Pavel Klinov
  • Bijan Parsia
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7123)


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.


Description Logic Probabilistic Individual Default Reasoning Concept Type Probabilistic Formula 
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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Pavel Klinov
    • 1
  • Bijan Parsia
    • 2
  1. 1.Institute of Artificial IntelligenceUniversity of UlmGermany
  2. 2.School of Computer ScienceUniversity of ManchesterUnited Kingdom

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