Using tableau to decide expressive description logics with role negation

Renate A. Schmidt, Dmitry Tishkovsky

    Research output: Book/ReportCommissioned report

    Abstract

    This paper presents a tableau approach for deciding description logics outside the scope of OWL DL/1.1 and current state-of-the-art tableau-based description logic systems. In particular, we define a sound and complete tableau calculus for the description logic and show that it provides a basis for decision procedures for this logic and numerous other description logics with full role negation. is the extension of with the Boolean role operators, inverse of roles, domain and range restriction operators and it includes full support for nominals (individuals). is a very expressive description logic which subsumes Boolean modal logic and the two-variable fragment of first-order logic and reasoning in it is NExpTime-complete. An important novelty is the use of a generic, unrestricted blocking rule as a replacement for standard loop checking mechanisms implemented in description logic systems. An implementation of our approach exists in the system. © 2008 Springer-Verlag Berlin Heidelberg.
    Original languageEnglish
    PublisherNo publisher name
    Number of pages13
    Volume4825
    ISBN (Print)35407629739783540762973
    DOIs
    Publication statusPublished - 2007

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