Question: For languages A and B , let the perfect shuffle of A and B be the language tw | w a 1 b 1 .

For languages A and B, let the perfect shuffle of A and B be the language
tw | w a1b1...akbk, where a1...ak P A and b1...bk P B, each ai, bi P \Sigma u
Show that the class of regular languages is closed under perfect shuffle.

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