Finite Lattices Do Not Make Reasoning in ALCI Harder

نویسندگان

  • Stefan Borgwardt
  • Rafael Peñaloza
چکیده

We consider the fuzzy logic ALCI with semantics based on a finite residuated lattice. We show that the problems of satisfiability and subsumption of concepts in this logic are ExpTime-complete w.r.t. general TBoxes and PSpace-complete w.r.t. acyclic TBoxes. This matches the known complexity bounds for reasoning in crisp ALCI.

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تاریخ انتشار 2011