Reasoning about Typicality with Low Complexity Description Logics: The Logic \(\mathcal{EL}^{+^\bot}{\bf T}\)

  • Laura Giordano
  • Valentina Gliozzi
  • Nicola Olivetti
  • Gian Luca Pozzato
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5883)

Abstract

We present an extension of the low complexity Description Logic \(\mathcal{EL}^{+^\bot}\) for reasoning about prototypical properties and inheritance with exceptions. We add to \(\mathcal{EL}^{+^\bot}\) a typicality operator T, which is intended to select the “most normal” instances of a concept. In the resulting logic, called \(\mathcal{EL}^{+^\bot}{\bf T}\), the knowledge base may contain subsumption relations of the form “T(C) is subsumed by P”, expressing that typical C-members have the property P. We show that the problem of entailment in \(\mathcal{EL}^{+^\bot}{\bf T}\) is in co-NP by proving a small model result.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Laura Giordano
    • 1
  • Valentina Gliozzi
    • 2
  • Nicola Olivetti
    • 3
  • Gian Luca Pozzato
    • 2
  1. 1.Dip. di InformaticaUniversità del Piemonte Orientale 
  2. 2.Dip. di InformaticaUniversità di Torino 
  3. 3.LSIS-UMR CNRS 6168 Univ. “P. Cézanne” 

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