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\(\mathcal{ALC}^{u}_{\mathbb{P}}\): An Integration of Description Logic and General Rules

  • Jing Mei
  • Zuoquan Lin
  • Harold Boley
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4524)

Abstract

A unifying logic is built on top of ontologies and rules for the revised Semantic Web Architecture. This paper proposes \(\mathcal{ALC}^{u}_{\mathbb{P}}\), which integrates a description logic (DL) that makes a unique names assumption with general rules that have the form of Datalog ℙrograms permitting default negation in the body. An \(\mathcal{ALC}^{u}_{\mathbb{P}}\) knowledge base (KB) consists of a TBox \(\mathcal{T}\) of subsumptions, an ABox \(\mathcal{A}\) of assertions, and a novel PBox ℙ of general rules that share predicates with DL concepts and DL roles. To model open answer set semantics, extended Herbrand structures are used for interpreting DL concepts and DL roles, while open answer sets hold for general rules. To retain decidability, a well-known weak safeness condition is employed. We develop DL tableaux-based algorithms for decision procedures of the KB satisfiability and the query entailment problems.

Keywords

Description Logic Conjunctive Query Negation Normal Form Datalog Program Completion Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Jing Mei
    • 1
  • Zuoquan Lin
    • 1
  • Harold Boley
    • 2
  1. 1.Department of Information Science, Peking University, Beijing 100871China
  2. 2.Institute for Information Technology - e-Business, National Research Council of Canada, Fredericton, NB, E3B 9W4Canada

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