Description logics of minimal knowledge and negation as failure

  • Authors:
  • Francesco M. Donini;Daniele Nardi;Riccardo Rosati

  • Affiliations:
  • Politecnico di Bari, Bari, Italy;Università di Roma "La Sapienza", Roma, Italy;Università di Roma "La Sapienza", Roma, Italy

  • Venue:
  • ACM Transactions on Computational Logic (TOCL)
  • Year:
  • 2002

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Abstract

We present description logics of minimal knowledge and negation as failure (MKNF-DLs), which augment description logics with modal operators interpreted according to Lifschitz's nonmonotonic logic MKNF. We show the usefulness of MKNF-DLs for a formal characterization of a wide variety of nonmonotonic features that are both commonly available inframe-based systems, and needed in the development of practical knowledge-based applications: defaults, integrity constraints, role, and concept closure. In addition, we provide a correct and terminating calculus for query answering in a very expressive MKNF-DL.