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Explain why WW R is not accepted by a DFA but WXW R is. Then draw a DFA that accepts all strings represented by WXW

Explain why WWR is not accepted by a DFA but WXWR is. Then draw a DFA that accepts all strings represented by WXWR. (5 + 10 +15 = 30 points)

In the above W, X = (0|1)+ and WR is the reverse of W.

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