Question: Please help me design this Deterministic finite automaton. Thanks! 4. (10 pts) Design a minimum DFA for the following language, and describe the strings corresponding

Please help me design this Deterministic finite automaton. Thanks!

Please help me design this Deterministic finite automaton. Thanks! 4. (10 pts)

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

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