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6. (5 points BONUS) Closure Properties: Bonus Formally proof that the class of regular languages is closed under perfect shullle: Given two lan- guages, LA

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6. (5 points BONUS) Closure Properties: Bonus Formally proof that the class of regular languages is closed under perfect shullle: Given two lan- guages, LA and LB over alphabet , the perfect shulle is defined as { w = ab...bk, where di LA and b; LB and 4, be E}. For this to work, you can assume that each string of LA and Lg has the same length, namely k

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