Model-theoretic inseparability and modularity of description logic ontologies

  • Authors:
  • Boris Konev;Carsten Lutz;Dirk Walther;Frank Wolter

  • Affiliations:
  • University of Liverpool, Liverpool, UK;Universität Bremen, Bremen, Germany;Universidad Politécnica de Madrid, Madrid, Spain;University of Liverpool, Liverpool, UK

  • Venue:
  • Artificial Intelligence
  • Year:
  • 2013

Quantified Score

Hi-index 0.00

Visualization

Abstract

The aim of this paper is to introduce and study model-theoretic notions of modularity in description logic and related reasoning problems. Our approach is based on a generalisation of logical equivalence that is called model-theoretic inseparability. Two TBoxes are inseparable w.r.t. a vocabulary @S if they cannot be distinguished by the @S-reducts of their models and thus can equivalently be replaced by one another in any application where only vocabulary items from @S are relevant. We study in-depth the complexity of deciding inseparability for the description logics EL and ALC and their extensions with inverse roles. We then discuss notions of modules of a TBox based on model-theoretic inseparability and develop algorithms for extracting minimal modules from acyclic TBoxes. Finally, we provide an experimental evaluation of our module extraction algorithm based on the large-scale medical TBox Snomed ct.