Question: Problem 3 [20 points Prove that the class of regular languages is closed under reverse. That is, show that if A is a regular language,

Problem 3 [20 points Prove that the class of regular languages

Problem 3 [20 points Prove that the class of regular languages is closed under reverse. That is, show that if A is a regular language, then AR -[wR | w e A is also regular. [Hint: given a DFA M = (Q,, , q0,F) that recognizes A, construct a new NFA (Q', ,8,6, F') that recognizes AR.]

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