The following operations on sets can be performed with operators: union, difference, symmetric difference, inclusion and intersection. Elements can be added or removed from the set with the Include or Exclude operators. The operators needed for this are listed in table (12.6).
| Operator | Action |
| + | Union |
| - | Difference |
| * | Intersection |
| >< | Symmetric difference |
| <= | Contains |
| >= | Left hand side set is a superset of the one on the right |
| include | include an element in the set |
| exclude | exclude an element from the set |
| in | check whether an element is in a set |
The set type of the operands must be the same, or an error will be generated by the compiler.
The following program gives some valid examples of set operations:
As can be seen, the union is equivalent to a binary OR, while the intersection is equivalent to a binary AND, and the symmetric difference equals a XOR operation.
The Include and Exclude operations are equivalent to a union or a difference with a set of one element. Thus,
is equivalent to
and
is equivalent to
The In operation results in a True if the left operand (an element) is included of the right operand (a set), the result will be False otherwise.