Hybrid Reasoning with Forest Logic Programs

  • Authors:
  • Cristina Feier;Stijn Heymans

  • Affiliations:
  • Knowledge-Based Systems Group, Institute of Information Systems, Vienna University of Technology, Vienna, Austria A-1040;Knowledge-Based Systems Group, Institute of Information Systems, Vienna University of Technology, Vienna, Austria A-1040

  • Venue:
  • ESWC 2009 Heraklion Proceedings of the 6th European Semantic Web Conference on The Semantic Web: Research and Applications
  • Year:
  • 2009

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Abstract

Open Answer Set Programming (OASP) is an attractive framework for integrating ontologies and rules. Although several decidable fragments of OASP have been identified, few reasoning procedures exist. In this paper, we provide a sound, complete, and terminating algorithm for satisfiability checking w.r.t. forest logic programs, a fragment where rules have a tree shape and allow for inequality atoms and constants. We further introduce f-hybrid knowledge bases, a hybrid framework where $\mathcal SHOQ$ knowledge bases and forest logic programs co-exist, and we show that reasoning with such knowledge bases can be reduced to reasoning with forest logic programs only. We note that f-hybrid knowledge bases do not require the usual (weakly) DL-safety of the rule component, providing thus a genuine alternative approach to hybrid reasoning.