- From: Mehrdad Omidvari <Mehrdad.Omidvari@networkinference.com>
- Date: Thu, 24 Jul 2003 10:46:27 +0100
- To: <www-webont-wg@w3.org>
Received on Thursday, 24 July 2003 05:46:47 UTC
"owl:Thing owl:equivalentClass owl:Nothing" is *inconsistent* in OWL-DL. In OWL-DL (as in FOL), the universe of the interpretation is always required to be a non-empty set. If there is no non-empty interpretations of an ontology, then the ontology is unsatisfiable (and hence inconsistent in proof-theoretic terms). As owl:Nothing is the complement of owl:Thing, you can reformulate the above axiom as: owl:Thing owl:equivalentClass complementOf(owl:Thing) which is obviously inconsistent in DL and FOL, being an example of "A <=> not A". Mehrdad Omidvari
Received on Thursday, 24 July 2003 05:46:47 UTC