RDFS entailments of the empty graph

There was some previous discussion on the entailments of graphs containing 
triple terms and whether the mere presence of a triple term causes some extra 
entailments, notably
   _:r rdf:reifies <<( :a :b :c )>>
RDFS-entailing
   :a rdf:type rdfs:Resource .
I was a bit leery of this entailment but it turns out that the empty graph 
RDFS-entails
   :a rdf:type rdfs:Resource .
so there is no problem here.

This makes
   _:r rdf:reifies <<( :a :b :c )>>
RDF-entailing
   :a rdf:type rdf:Property .
somewhat more interesting as it might be argued that this entailment is 
analogous to the previous one if the entailment only held because of the 
presence of the triple term.  Now that the previous entailment holds without 
the presence of the triple term there is less reason to have this entailment hold.

peter

Received on Tuesday, 14 January 2025 14:28:25 UTC