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(a) Using the algorithm of Kleene's theorem, Lemma 3, Rule 4, construct an FA for the language L1*. (10 Points) (b) Is the language L1

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(a) Using the algorithm of Kleene's theorem, Lemma 3, Rule 4, construct an FA for the language L1*. (10 Points) (b) Is the language L1 the same as the language L1*? If so, justify your answer with a brief explanation. If not, give an example of a word that is in one language, but not the other. (05 Points) X2 b a FA1 (a) Using the algorithm of Kleene's theorem, Lemma 3, Rule 4, construct an FA for the language L1*. (10 Points) (b) Is the language L1 the same as the language L1*? If so, justify your answer with a brief explanation. If not, give an example of a word that is in one language, but not the other. (05 Points) X2 b a FA1

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