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3 . Let Sigma = { a , b } and A = { w | baab is a substring of w and abba

3. Let \Sigma ={a, b} and A ={w | baab is a substring of w and abba is not a substring of w}.
Is A a regular language? Justify your answer. You will probably need a proof by contradiction with the pumping lemma. But keep in mind that the lemma states there exists a split for all strings, so you cannot just choose 1 string and then show 1 split and how the pumping up/down does not work (need to show all cases for whichever string).

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