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Let L = {w|w starts with an a and has even length}. If you look closely, you will see that L is the intersection two

Let L = {w|w starts with an a and has even length}. If you look closely, you will see that L is the intersection two simpler languages.

(a) Construct the DFAs for the simpler languages. In each case, = {a, b}.

(b)Then use the method explained as a footnote in Theorem 1.25 (page 46 in the books 3rd edition) to give the state diagram of a DFA for the intersection of these simpler languages, which is L.

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