Formal Properties of Modularisation

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

  • Affiliations:
  • University of Liverpool, UK;University of Bremen, Germany;University of Liverpool, UK;University of Liverpool, UK

  • Venue:
  • Modular Ontologies
  • Year:
  • 2009

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Abstract

Modularity of ontologies is currently an active research field, and many different notions of a module have been proposed. In this paper, we review the fundamental principles of modularity and identify formal properties that a robust notion of modularity should satisfy. We explore these properties in detail in the contexts of description logic and classical predicate logic and put them into the perspective of well-known concepts from logic and modular software specification such as interpolation, forgetting and uniform interpolation. We also discuss reasoning problems related to modularity.