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(20 marks Problem 1 Show that the following languages over = {0,1} are regular: (a) {03m+1121 : m,n e N} (b) {w *: w does

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(20 marks Problem 1 Show that the following languages over = {0,1} are regular: (a) {03m+1121 : m,n e N} (b) {w *: w does not contain 101 as a substring} (c) {W *: w contains an even number of occurrences of 0011 as a substring} (d) {W E E* : w contains the same number of occurrences of 01 as 10 }

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