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    DL-Lite with temporalised concepts, rigid axioms and roles

    Artale, A. and Kontchakov, Roman and Ryzhikov, Vladislav and Zakharyaschev, Michael (2009) DL-Lite with temporalised concepts, rigid axioms and roles. In: Ghilardi, S. and Sebastiani, R. (eds.) Frontiers of Combining Systems. Lecture Notes in Computer Science 5749. Berlin, Germany: Springer, pp. 133-148. ISBN 9783642042218.

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    We investigate the temporal extension of the description logic \textslDL−Lite(RN)bool with the until operator on concepts, rigid (time-independent) and local (time-dependent) roles, and rigid TBox axioms. Using an embedding into the one-variable fragment of first-order temporal logic and the quasimodel technique, we prove that (i) the satisfiability problem for the resulting logic is PSpace-complete, and that (ii) by weakening until to sometime in the future we obtain an NP-complete logic, which matches the complexities of the propositional linear-time temporal logics with the corresponding temporal operators.


    Item Type: Book Section
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Administrator
    Date Deposited: 13 May 2013 13:43
    Last Modified: 09 Aug 2023 12:33


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