Abstract
In description logics (DLs), concrete domains are used for defining concepts based on concrete qualities of their instances such as the weight, age, duration, and spatial extension. So-called general concept inclusions (GCIs) play an important role for capturing background knowledge. It is well-known that, when combining concrete domains with GCIs, reasoning easily becomes undecidable. In this paper, we identify a general property of concrete domains that is sufficient for proving decidability of DLs with both concrete domains and GCIs. We exhibit some useful concrete domains, most notably a spatial one based on the RCC-8 relations, which have this property. Then, we present a tableau algorithm for reasoning in DLs equipped with concrete domains and GCIs.
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