A Tableau Algorithm for Description Logics with Concrete Domains and GCIs

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.

• Type: Conference
• Year: 2005
• Where: TABLEAUX
• Authors: Carsten Lutz, Maja Milicic
• Keywords: Artificial Intelligence, Concrete Domains, Concrete Qualities, TABLEAUX 2005, Useful Concrete Domains