Question: 4. (10 pts) Design a minimum DFA for the following language, and describe the strings corresponding to each L = {w over {a, b} I

4. (10 pts) Design a minimum DFA for the following language,

4. (10 pts) Design a minimum DFA for the following language, and describe the strings corresponding to each L = {w over {a, b} I nab(w) = nba(w)) where nab(w) is the number of occurrences of substring ab in string w and nba(w) is the number of occurrences of substring ba in string w. For example, string is in the language, because nab(e) = nba(e) = 0, String baaaabb is in the language, because nab( baaaabb-1 and nba (baaaabb)-1. String aaabaaaab is not in the language, because nab (aaabaaaab)-2 but nba (aaabaaaab)-1

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