Questions tagged [kleene-star]
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Kleene star operations
Let $πΊ$ be any alphabet and let $π³_π \subseteq πΊ^{β}$ and $π³_2 \subseteq πΊ^{β}$ be two non-empty languages.
a. If $π³_π πΊ^{β} \neq πΊ^{β}$ than what can we say about $L_1$.
b.Let $\Lambda \...
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Kleene star of L
$L^*$ is the kleene star of L.
say we have a def: $L^*$ = $L^0$ U $L^1$ U $L^2$ U ... U $L^K$
then prove that: $L^*$ = $L$ if and only if $L$ = $L$ o $L$
how do i prove this?