From: Peter F. Patel-Schneider (pfps@research.bell-labs.com)
Date: 07/10/02
As there was some discussion yesterday about whether classes had properties in the DAML+OIL model theory, I reread the model theory document to see exactly what it said. The result - a definite no, shading to maybe. :-) The model theory has three mappings, each of which map the nodes of a collection of RDF triples into something else IC, which maps classes (nodes) to their extensions IR, which maps relationships (nodes) to their extensions, which are (roughly) 2-place relationships over the domain of discourse IO, which (roughly) maps individuals (nodes) to their extensions, which are (roughly) elements of the domain of discourse So classes are nodes in the RDF graph, and do not participate in the extension of relationships, which interrelate things in the domain of discourse. However, IO maps nodes into the domain of discourse. Thus the IO mapping of classes do participate in the extensions of relationships, leading to the ``maybe'' shading. peter
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