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8. (10 points) Closure Properties. Let L and L' be any two languages on the same alphabet, and h(L, L') be the set of all

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8. (10 points) Closure Properties. Let L and L' be any two languages on the same alphabet, and h(L, L') be the set of all strings that are both in L and have no substring in L'. Prove that if L and L' are both regular, then so is h(L, L')

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