Definition and Notation
Given a set
define
- the null string "" and
define recursively the set
- where
If V is a formal language, then Vi, the i-th power of the set V, is a shorthand for the concatenation of set V with itself i times. That is, Vi can be understood to be the set of all strings that can be represented as the concatenation of i strings in .
The definition of Kleene star on V is
Read more about this topic: Kleene Star
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“... we all know the wag’s definition of a philanthropist: a man whose charity increases directly as the square of the distance.”
—George Eliot [Mary Ann (or Marian)