Description Logics of Context with Rigid Roles Revisited

Stephan BöhmeStephan Böhme, Marcel LippmannMarcel Lippmann

Download

Stephan Böhme, Marcel Lippmann
Description Logics of Context with Rigid Roles Revisited
Technical Report, Chair of Automata Theory, TU Dresden, volume 15-04, May 2015. LTCS-Report

Details
Bibtex

KurzfassungAbstract
To represent and reason about contextualized knowledge often two-dimensional Description Logics (DLs) are employed, where one DL is used to describe contexts (or possible worlds) and the other DL is used to describe the objects, i.e. the relational structure of the specific contexts. Previous approaches for DLs of context that combined pairs of DLs resulted in undecidability in those cases where so-called rigid roles are admitted, i.e. if parts of the relational structure are the same in all contexts. In this paper, we present a novel combination of pairs of DLs and show that reasoning stays decidable even in the presence of rigid roles. We give complexity results for various combinations of DLs involving ALC, SHOQ, and EL.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

@techreport{ BoLi-LTCS-15-04,
  author = {Stephan {B{\"o}hme} and Marcel {Lippmann}},
  institution = {Chair of Automata Theory, TU Dresden},
  note = {See \url{http://lat.inf.tu-dresden.de/research/reports.html}.},
  number = {15-04},
  title = {Description Logics of Context with Rigid Roles Revisited},
  type = {LTCS-Report},
  year = {2015},
}