A Tableau Calculus for a Nonmonotonic Extension of EL^\mathcal{EL}^\bot

نویسندگان

  • Laura Giordano
  • Valentina Gliozzi
  • Nicola Olivetti
  • Gian Luca Pozzato
چکیده

We introduce a tableau calculus for a nonmonotonic extension of low complexity Description Logic EL that can be used to reason about typicality and defeasible properties. The calculus deals with Left Local knowledge bases in the logic EL⊥Tmin recently introduced in [8] . The calculus performs a twophase computation to check whether a query is minimally entailed from the initial knowledge base. It is sound, complete and terminating. Furthermore, it is a decision procedure for Left Local EL⊥Tmin knowledge bases, whose complexity matches the known results for the logic, namely that entailment is in Π 2 .

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تاریخ انتشار 2011