Concrete Domains and Nominals United

  title={Concrete Domains and Nominals United},
  author={Carlos Areces and Carsten Lutz},
While the complexity of concept satisfiability in both ALCO, the basic description logic ALC enriched with nominals, and ALC(D), the extension of ALC with concrete domains, is known to be PSpace-complete, in this article we show that the combination ALCO(D) of these two logics can have a NExpTime-hard concept satisfiability problem (depending on the concrete domain D used). The proof is by a reduction of a NExpTime-complete variant of the domino problem to ALCO(D)concept satisfiability. 

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