Foundations of non-standard Inferences for Description Logics with transitive Roles and Role Hierarchies

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Foundations of non-standard Inferences for Description Logics with transitive Roles and Role Hierarchies

S. BrandtS. Brandt,  A.-Y. TurhanA.-Y. Turhan,  R. KüstersR. Küsters
S. Brandt, A.-Y. Turhan, R. Küsters
Foundations of non-standard Inferences for Description Logics with transitive Roles and Role Hierarchies
Technical Report, Chair for Automata Theory, Institute for Theoretical Computer Science, Dresden University of Technology, volume 03-02, 2003. LTCS-Report
  • KurzfassungAbstract
    Description Logics (DLs) are a family of knowledge representation
     formalisms
     used for terminological reasoning. They have a wide range of applications
     such as medical knowledge-bases, or the semantic web. Research on
     DLs has
     been focused on the development of sound and complete inference algorithms to
     decide satisfiability and subsumption for increasingly expressive
     DLs.
    
     Non-standard inferences are a group of relatively new inference services
     which provide reasoning support for the building, maintaining, and
     deployment
     of DL knowledge-bases. So far, non-standard inferences are not available for
     very expressive DLs.
    
     In this paper we present first results on non-standard inferences for DLs
     with transitive roles. As a basis, we give a structural
     characterization of
     subsumption for DLs where existential and value restrictions can be
     imposed
     on transitive roles. We propose sound and complete algorithms to
     compute the
    
    least common subsumer (lcs).
  • Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory
@techreport{ BrTuKu-LTCS-03-02,
  address = {Germany},
  author = {S. {Brandt} and A.-Y. {Turhan} and R. {K{\"u}sters}},
  institution = {Chair for Automata Theory, Institute for Theoretical Computer Science, Dresden University of Technology},
  number = {03-02},
  title = {Foundations of non-standard Inferences for Description Logics with transitive Roles and Role Hierarchies},
  type = {LTCS-Report},
  year = {2003},
}