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Construct the DFA for (aaa)*. The alphabet is just {a} and then Construct the DFA for...

Construct the DFA for (aaa)*. The alphabet is just {a}

and then


Construct the DFA for (aa)*. The alphabet is just {a}. construct the union DFA. Use the partition algorithm. Then construct the intersection DFA.

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Answer #1

DFA for (aaa)*

a
->*A B
B C
C A

DFA for (aa)*

a
->*D E
E D

UNION:

a
->*AD BE
*AE BD
*BD CE
BE CD
*CD AE
CE AD

INTERSECTION:

a
->*AD BE
AE BD
BD CE
BE CD
CD AE
CE AD

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