Local closed world reasoning with description logics under the well-founded semantics

Research output: Contribution to journalArticlepeer-review

89 Citations (Scopus)
5 Downloads (Pure)


An important question for the upcoming Semantic Web is how to best combine open world ontology languages, such as the OWL-based ones, with closed world rule-based languages. One of the most mature proposals for this combination is known as hybrid MKNF knowledge bases (Motik and Rosati, 2010 [52]), and it is based on an adaptation of the Stable Model Semantics to knowledge bases consisting of ontology axioms and rules. In this paper we propose a well-founded semantics for nondisjunctive hybrid MKNF knowledge bases that promises to provide better efficiency of reasoning, and that is compatible with both the OWL-based semantics and the traditional Well-Founded Semantics for logic programs. Moreover, our proposal allows for the detection of inconsistencies, possibly occurring in tightly integrated ontology axioms and rules, with only little additional effort. We also identify tractable fragments of the resulting language.

Original languageEnglish
Pages (from-to)1528-1554
Number of pages27
JournalArtificial Intelligence
Issue number9-10
Publication statusPublished - 1 Jun 2011


  • Description logics and ontologies
  • Knowledge representation
  • Logic programming
  • Non-monotonic reasoning
  • Semantic Web


Dive into the research topics of 'Local closed world reasoning with description logics under the well-founded semantics'. Together they form a unique fingerprint.

Cite this