Part 7
Some Interesting Properties of an Empty String

String concatenation has some interesting implications:

If α o β = γ o δ and (| α | = | γ | or | β | = | δ |);
then α = γ and β = δ;

This is not as complicated as it looks. Let's look at the example below:

Example 1:
Let α = <1, 2> and β = <3, 4, 5>;
| α | = 2 and | β | = 3; and α o β = <1, 2, 3, 4, 5>

If we assume that α o β = γ o δ, then γ o δ = <1, 2, 3, 4, 5>;
Both strings are the same and have the same length;

If | α | = | γ | = 2, or | β | = | δ | = 3; then α = γ and β = δ;
It is possible for α o β and γ o δ, but if | α | not equal | γ |
or | β | not equal | δ | then α is not equal to γ, and β not
equal to δ.