Question: Let L be an arbitrary regular language over the alphabet Sigma = { 0 , 1 } . Prove that the following languages are

Let L be an arbitrary regular language over the alphabet \Sigma ={0,1}. Prove that the following
languages are also regular. (You probably wont get to all of these.) cycle(L) :={x y|x, y in \Sigma , y x in L}, The language that accepts the rotations of string from
a regular language

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