#7
B = A.Parent
Implies an authority hierarchy, though.

Determinant is the best I (or more correctly, the lovely Mrs Aldo) have come up with.

#12
Well, in which context do you need it? Is it something mathematical?
I guess B could just be "the cause" of A, or something similar. Depends of what A and B are, really.
Multi-agent systems, specifically with recursive decomposition relationships. So A would be dependent on a capability of B, for example.

#15
A >= B && B >= A
"If toast always lands butter-side down, and cats always land on their feet, what happens if you strap toast on the back of a cat and drop it?"
-Steven Wright
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