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3. Let L = {we {0,1}* w has an odd no. of 1's }, and let A be the DFA with tabular represen- tation:

3. Let L = {we {0,1}* w has an odd no. of 1's }, and let A be the DFA with tabular represen- tation: A  P * q

3. Let L = {we {0,1}* w has an odd no. of 1's }, and let A be the DFA with tabular represen- tation: A P * q 0 1 P 9 9 P Prove that L = L(A). Hint: Do the L(A) L part of the proof by induction on the the length of the string processed by A. You need a mutual induction with a claim for state p and a claim for state q.

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