We consider the Semantic Web pages firstly.
Semantic Webpage1 refers to ontologies O4, O5, and O7. Semantic Webpage2 refers
to ontologies O5 and O3. If some information in Semantic Webpage1 is annotated
with the concepts from O4, obviously Semantic Webpage2 has no such information
corresponding to Semantic Webpage1, that is, Semantic Webpage1 is semantically
different from Semantic Webpage2 for such information. If some information in
Semantic Webpage1 is annotated by the concepts from O5, it is possible that Semantic
Webpage1 and Semantic Webpage2 have the same semantic information because
Semantic Webpage2 is also annotated with concepts from O5; they can exchange
the semantic information. Semantic Webpage1 is annotated with the concepts from
O7, Semantic Webpage2 is annotated with the concepts from O3, and we can see
that O7 inherits O3. Therefore if Semantic Webpage1 is annotated with the concepts
newly defined in O7, Semantic Webpage1 and Semantic Webpage2 do not have
the same semantic information about the concepts in O7. If Semantic Webpage1
is annotated with the concepts in O7 which are inherited from O3, Semantic Webpage1
and Semantic Webpage2 may have the same semantic information about
the concepts in O3.
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