Complexity of Terminological Reasoning Revisited

  • Authors:
  • Carsten Lutz

  • Affiliations:
  • -

  • Venue:
  • LPAR '99 Proceedings of the 6th International Conference on Logic Programming and Automated Reasoning
  • Year:
  • 1999

Quantified Score

Hi-index 0.00

Visualization

Abstract

TBoxes in their various forms are key components of knowledge representation systems based on description logics (DLs) since they allow for a natural representation of terminologicsd knowledge. Largely due to a classical result given by Nebel [15], complexity analyses for DLs have, until now, mostly failed to take into account the most basic form of TBoxes, so-called acyclic TBoxes. In this paper, we concentrate on DLs for which reasoning without TBoxes is PSPACE-complete, sad show that there exist logics for which the complexity of reasoning remains in PSPACE if acyclic TBoxes are added and also logics for which the complexity increases. This demonstrates that it is necessary to take acyclic TBoxes into account for complexity cinalyses.