User:Jshflynn/Definition:Kleene star

Definition

Let $\Sigma$ be an alphabet.

Let $V$ be a subalphabet of $\Sigma$.

Then the Kleene star of $V$ is denoted $V^*$ and defined:

$\ds \bigcup_{i \mathop \in \N_0} V^i$

Also known as

Some authors call this:

• Kleene closure

• Monoid closure