Is it safe to store a relation between two uuid4s as a disjunction?

Question

Algebra

There are uuid values.
If we take a disjunction, then we get a value by which we can determine the relationship
a, b, c
ab = a OR b
ab AND a == a
ab AND b == b
ab AND c != c
I wonder how safe it is to store, are there any nuances in terms of overflow and other nuances?

Answer 1

a = 01
b = 10
ab = a | b = 11
c = 00
ab & c = 11 & 00 = 00 = c
d = 11
ab & d = 11 & 11 = 11 = d