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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“Perhaps the best definition of progress would be the continuing efforts of men and women to narrow the gap between the convenience of the powers that be and the unwritten charter.”
—Nadine Gordimer (b. 1923)