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Show that the language L = {v w v: v, w {a, b)*, |v| = 2} is a regular language. Give regular expressions for the

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Show that the language L = {v w v: v, w {a, b)*, |v| = 2} is a regular language. Give regular expressions for the following languages on sigma = {a. b} L_2 = {w: w ends in aa}. L_3 = {w:w does not end in aa}. L_4 = {w: |w | mod 3 = 0}. L_5 = all strings containing no more than three a' s

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