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Kleene star

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An operation on formal languages that gives for any language L the language L*, defined by {Λ} ∪ LLLLLL ∪ … where Λ is the empty word. Thus a word w is in L* if and only if it has the form w1w2wn with each wi in L, i.e. is a concatenation of words in L.

{Λ} ∪ LLLLLL ∪ …


The Kleene-plus (L+) of L, is defined by

LLLLLL ∪ … Thus L+ comprises the nonempty strings of L*.


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