Cheap Boolean Role Constructors for Description Logics

Sebastian RudolphSebastian Rudolph, Markus KrötzschMarkus Krötzsch, Pascal HitzlerPascal Hitzler

Sebastian Rudolph, Markus Krötzsch, Pascal Hitzler
Cheap Boolean Role Constructors for Description Logics
Technical Report, Institut AIFB, Universität Karlsruhe, volume 1753, April 2008

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KurzfassungAbstract
We investigate the possibility of incorporating Boolean role constructors on simple roles into some of today's most popular description logics, focussing on cases where those extensions do not increase complexity of reasoning. We show that the expressive DLs SHOIQ and SROIQ, serving as the logical underpinning of OWL and the forthcoming OWL 2, can accommodate arbitrary Boolean expressions. The prominent OWL-fragment SHIQ can be safely extended by safe role expressions, and the tractable fragments EL++ and DLP retain tractability if extended by conjunction on roles, where in the case of DLP the restriction on role simplicity can even be discarded.
Forschungsgruppe:Research Group: Computational LogicComputational Logic, Wissensbasierte SystemeKnowledge-Based Systems

@techreport{RKH2008,
  author      = {Sebastian Rudolph and Markus Kr{\"{o}}tzsch and Pascal Hitzler},
  title       = {Cheap Boolean Role Constructors for Description Logics},
  institution = {Institut {AIFB,} Universit{\"{a}}t Karlsruhe},
  year        = {2008},
  month       = {April}
}