Refer to Problem 1.41 for the definition of the perfect shuffle operation. Show that the class of
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Refer to Problem 1.41 for the definition of the perfect shuffle operation. Show that the class of context-free languages is not closed under perfect shuffle.
Problem 1.41
For languages A and B, let the perfect shuffle of A and B be the language
{w| w = a1b1 · · · akbk, where a1 · · · ak ∈ A and b1 · · · bk ∈ B, each ai, bi ∈ Σ}.
Show that the class of regular languages is closed under perfect shuffle.
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