- From: Michael Schneider <schneid@fzi.de>
- Date: Tue, 3 Jun 2008 23:02:57 +0200
- To: <public-owl-wg@w3.org>
- Cc: "Jeremy Carroll" <jjc@hpl.hp.com>
- Message-ID: <0EF30CAA69519C4CB91D01481AEA06A096B15C@judith.fzi.de>
[cc'ed Jeremy, since he brought this point up at last telco] [slightly related to ISSUE-124, but should be regarded as distinct issue] Note: This mail serves as a base for the discussion in this week's telco. According to the agenda, we will discuss: [[ Issue 124: [...] Michael's concern: Why not relative to whole domain - including individials? ]] (Just to be clear: I did not suggest to extend the complements of dataranges to the "whole" domain in OWL DL. This would make no sense. I only stated that in *OWL Full* the complement actually *is* relative to the whole domain, and that this difference between DL and Full may lead to problems. I write this mail here to show such a problem.) Summary: -------- The current RDF mapping for datarange complements brings us the situation that OWL 2 DL will have entailments, which are /not/ OWL 2 Full entailments. In OWL 1, every OWL DL entailment was also an OWL Full entailment, so there would now be a deviation from this relationship between DL and Full. A remedy is to change the RDF mapping by introducing a new URI dedicated to datarange complements. Detailed description: --------------------- In OWL 2 DL, the semantics for the complement of a datarange DR is given by (1) rdfs:Literal \ DR i.e. all datavalues except those within DR. So the following entailment holds in OWL 2 DL: (2) {} |= SubClassOf( AllValuesFrom( dp ComplementOf(xsd:string) ) AllValuesFrom( dp rdfs:Literal ) ) for a given data property dp. The current RDF mapping of datarange complements is: (3a) _:x rdf:type rdfs:Datatype (3b) _:x owl:complementOf T(DR) OWL 1 Full (and thus also OWL 2 Full) already specifies semantics for triples with 'owl:complementOf' as their predicates, such as the one in (3b). This leads to the following OWL Full semantics for the complement of a datarange DR: (4) owl:Thing \ DR Note that in OWL Full we have: (5) SubClassOf( rdfs:Literal owl:Thing ) This means that (2) is *not* an entailment in OWL Full, since there are models for which the complement of xsd:string has instances outside rdfs:Literal. Note: This observation even holds if there are comprehension principles in OWL 2 Full. ! Proposal: The problem can easily be solved by having a special RDF mapping for datarange complements, e.g.: (6a) _:x rdf:type rdfs:Datatype (6b) _:x owl:datatypeComplementOf y Regards, Michael
Received on Tuesday, 3 June 2008 21:03:38 UTC