Tractable Probabilistic Description Logic Programs

  • Authors:
  • Thomas Lukasiewicz

  • Affiliations:
  • Dipartimento di Informatica e Sistemistica, Sapienza Università di Roma, Via Ariosto 25, I-00185 Roma, Italy

  • Venue:
  • SUM '07 Proceedings of the 1st international conference on Scalable Uncertainty Management
  • Year:
  • 2007

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Abstract

We propose tractable probabilistic description logic programs (or probabilistic dl-programs) for the Semantic Web, which combine tractable description logics, normal programs under the answer set semantics, and probabilities. In particular, we introduce the total well-founded semanticsfor probabilistic dl-programs. Contrary to the previous answer set and well-founded semantics, it is defined for all probabilistic dl-programs and all probabilistic queries. Furthermore, tight (resp., tight literal) query processing under the total well-founded semantics coincides with tight (resp., tight literal) query processing under the previous well-founded (resp., answer set) semantics whenever the latter is defined. We then present an anytime algorithm for tight query processing in probabilistic dl-programs under the total well-founded semantics. We also show that tight literal query processing in probabilistic dl-programs under the total well-founded semantics can be done in polynomial time in the data complexity and is complete for EXP in the combined complexity. Finally, we describe an application of probabilistic dl-programs in probabilistic data integration for the Semantic Web.