Reputation: 1531
Using description logic (and corresponding OWL-DL) Consider we have class Meeting
which could be attended by a class Professor
, so that:
couldBeAttendedBy domain Meeting
couldBeAttendedBy range Professor
and consider that a Professor
could be an Assistant
of another Professor
:
assistantOf domain Professor
assistantOf range Professor
Question: How can I -using Terminological Box axioms (TBox)- state that, if a Meeting
couldBeAttendedBy
a Professor
, then it couldBeAttendedBy
anyone of his Assistants
.
Fro example, consider that:
Meeting(m)
Professor(f)
m couldBeAttendedBy f
as assistantOf f
I want to conclude that
m couldBeAttendedBy as
Upvotes: 2
Views: 62
Reputation: 2431
You need to make a property chain, giving a definition of couldBeAttendedBy
to accommodate your rule.
For example, if you are using Protégé, you need to define for couldBeAttendedBy
the following:
couldBeAttendedBy o inverse (assistantOf)
at the SuperProperty Of (Chain), which will appear as
couldBeAttendedBy o inverse (assistantOf) SubPropertyOf couldBeAttendedBy
The case is easy and is exactly what property chains are made for. But if the chains become more sophisticated, they might become undecidable. For example, in S1 º S2 º S3 º ... º Sn ⊑ R, R can only be on the first or last place of the left side of the expression. Otherwise it won't be decidable. This is one of the restrictions to Regular RBoxes. And property chains, or more formally "General Role Inclusion" can only be decidable if applied to Regular RBoxes.
Upvotes: 3