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QUESTION

For languages A and B, let the perfect sbuffle of A and B be the language {wl w = aib. akbk, where a, . ak E A and bi .

For languages A and B, let the perfect sbuffle of A and B be the language{wl w = aib. akbk, where a, ... ak E A and bi ... bk E B, each aj, bi e ElShow that the class of regular languages is closed under perfect shuffle.

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