A Description Logic of Change

Alessandro ArtaleAlessandro Artale, Carsten LutzCarsten Lutz, David TomanDavid Toman

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Alessandro Artale, Carsten Lutz, David Toman
A Description Logic of Change
In Manuela Veloso, eds., Proceedings of the Twentieth International Joint Conference on Artificial Intelligence (IJCAI'07), 218-223, 2007. AAAI Press

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KurzfassungAbstract
We combine the modal logic S5 with the description logic (DL) ALCQI. The resulting multi-dimensional DL S5-ALCQI supports reasoning about change by allowing to express that concepts and roles change over time. It cannot, however, discriminate between changes in the past and in the future. Our main technical result is that satisfiability of S5-ALCQI concepts with respect to general TBoxes (including GCIs) is decidable and 2-ExpTime-complete. In contrast, reasoning in temporal DLs that are able to discriminate between past and future is inherently undecidable. We argue that our logic is sufficient for reasoning about temporal conceptual models with time-stamping constraints.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

@inproceedings{ ArLuTo-07,
  author = {Alessandro {Artale} and Carsten {Lutz} and David {Toman}},
  booktitle = {Proceedings of the Twentieth International Joint Conference on Artificial Intelligence (IJCAI'07)},
  editor = {Manuela {Veloso}},
  pages = {218--223},
  publisher = {AAAI Press},
  title = {A Description Logic of Change},
  year = {2007},
}