Finite Model reasoning in ALCQI is ExpTime-complete

Carsten LutzCarsten Lutz, U.SattlerU.Sattler, L. TenderaL. Tendera

Datei:LutSatTen-DL2003.ps.gz

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Carsten Lutz, U.Sattler, L. Tendera
Finite Model reasoning in ALCQI is ExpTime-complete
Proceedings of the 2003 International Workshop on Description Logics (DL2003), CEUR-WS, 2003

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KurzfassungAbstract
We analyze the complexity of finite model reasoning in the description logic ALCQI, i.e.ALC augmented with qualifying number restrictions, inverse roles, and general TBoxes. It turns out that all relevant reasoning tasks such as concept satisfiability and ABox consistency are ExpTime-complete, regardless of whether the numbers in number restrictions are coded unarily or binarily. Thus, finite model reasoning with ALCQI is not harder than standard reasoning with ALCQI.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

@inproceedings{ LutSatTen-DL2003,
  author = {C. {Lutz} and {U.Sattler} and L. {Tendera}},
  booktitle = {Proceedings of the 2003 International Workshop on Description Logics ({DL2003})},
  series = {CEUR-WS},
  title = {Finite Model reasoning in $\mathcal{ALCQI}$ is {\sc ExpTime}-complete},
  year = {2003},
}