For any string w = w 1 w 2 w n , the reverse of

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For any string w = w1w2 · · ·wn, the reverse of w, written wR, is the string w in reverse order, wn · · ·w2w1. For any language A, let AR = {wR| w ∈ A}. Show that if A is regular, so is AR.

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