Ian suggests: [[ An OWL DL document D is consistent with respect to datatype theory T if and only if there is some Abstract OWL interpretation I with respect to T such that I satisfies D. ]] unfortunately this text, while neat, asks more questions than it answers - we do not define satisifes as in an interpretation satisfying a document, so questions to do with a) imports closure b) which abstract ontology are unanswered. My proposed text: [[ An OWL Lite or OWL DL document is consistent with respect to a datatype theory [OWL Semantics and Abstract Syntax], if and only if a corresponding collection of OWL DL ontologies in abstract syntax form with a separated vocabulary is simulataneously consistent with respect to the datatype theory. ]] requires the somewhat shorter imaginitive leap from the defn of consistent in S&AS to the notion of simulataneously consistent, and perhaps is still unclear about imports. However, the which abstract ontology is answered by the "with a separated vocabulary" and the correspondence theorem. I will circulate some more text tomorrow. JeremyReceived on Monday, 26 May 2003 13:12:17 GMT
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