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Context - free languages are closed under Kleene closure. Consider the language L generated by the CFG below, write down a grammar that will generate

Context-free languages are closed under Kleene closure. Consider the
language L generated by the CFG below, write down a grammar that will
generate L*, and prove that your grammar is correct. (Hint: The proof
should be done in two directions).
S aS | bX
X aX | bS | aY
Y b

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