I.3.4 Group operators

Eight such operators have been defined. One first explains the meaning and behavior of the four elementary dyadic operations.

• “+” operator returns the union of two Groups.
• “-” operator returns the difference of two Groups.
• “*” operator returns the intersection of two Groups.
• “/” operator: if $x$ and $y$ are two Groups, then $x∕y=\left(x+y\right)-\left(x*y\right)$. (The operation is equivalent to a logical “exclusive or” operation on the entities.)