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Prove that the class of regular languages is closed under reverse. That is, show that if A is a regular language, then AR twR |

Prove that the class of regular languages is closed under reverse. That is, show that if A is a regular language, then AR twR | w P Au is also regular. [Hint: given a DFA M pQ, , , q0 , F q that recognizes A, construct a new NFA N pQ1,,1,q01 ,F1q that recognizes AR.]

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