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1. (10 points) Let L C {0,1}* be a regular language. Define Ls = {1 : By such that length of x and y are

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1. (10 points) Let L C {0,1}* be a regular language. Define Ls = {1 : By such that length of x and y are the same and 2 YE L}. Prove that L, is also regular

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