TBoxes do not yield a compact representation of least common subsumers

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TBoxes do not yield a compact representation of least common subsumers

Franz BaaderFranz Baader,  Anni-Yasmin TurhanAnni-Yasmin Turhan
Franz Baader, Anni-Yasmin Turhan
TBoxes do not yield a compact representation of least common subsumers
Proceedings of the International Workshop in Description Logics 2001 (DL2001), August 2001
  • KurzfassungAbstract
    For Description Logics with existential restrictions, the size of the least common subsumer (lcs) of concept descriptions may grow exponentially in the size of the input descriptions. This paper investigates whether the possibly exponentially large concept description representing the lcs can always be represented in a more compact way when using an appropriate (acyclic) TBox for defining this description. This conjecture was supported by our experience in a chemical process engineering application. Nevertheless, it turns out that, in general, TBoxes cannot always be used to obtain a polynomial size representation of the lcs.
  • Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory
@inproceedings{ BaaderTurhan-DL-2001,
  address = {Stanford, USA},
  author = {F. {Baader} and A.-Y. {Turhan}},
  booktitle = {Proceedings of the International Workshop in Description Logics 2001 {(DL2001)}},
  month = {August},
  title = {TBoxes do not yield a compact representation of least common subsumers},
  year = {2001},
}