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5. (20 MARKS) For languages A and B, define the interleave of A and B to be the language {w | w-ajb...abe where aj...d E

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5. (20 MARKS) For languages A and B, define the interleave of A and B to be the language {w | w-ajb...abe where aj...d E A, b... be E B, and a, b E E, 1sisk} Give a construction that shows that the regular languages are closed under the interleave operation

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