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I have a automata assignment could you help me 5. (20 pts) Show that the set of regular languages are closed under the following operations:

I have a automata assignment could you help me image text in transcribed
5. (20 pts) Show that the set of regular languages are closed under the following operations: (a) (7 pts) x2w wELy or we L2, but not both) (b) (13 pts) shortest(L) = {w E L : no proper prefix of w is in L} (E.g., for L = {01,011, 1, 10), longest(L)-(01,1).)

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