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If L is any regular language, let L_2/3 be the language in which the middle thirds of strings in L are removed: L_2/3 = {xz

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If L is any regular language, let L_2/3 be the language in which the middle thirds of strings in L are removed: L_2/3 = {xz | xyz in L and |x| = |y| = |z|, for some y}. Prove that if L is regular, L_2/3 is not necessarily regular

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