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Suppose that N_1 = (Q_1, \sum, \delta_1, q_1, F_1) recognizes the regular la...

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Suppose that N_1 = (Q_1, \sum, \delta_1, q_1, F_1) N_1 = (Q_1, \sum, \delta_1, q_1, F_1) recognizes the regular language A_1,A_1, and N_2 = (Q_2, \sum, \delta_2, q_2, F_2) N_2 = (Q_2, \sum, \delta_2, q_2, F_2) recognizes the regular language A_2A_2. To prove that A_1\circ A_2A_1\circ A_2 is a regular language, we contruct the finite automata N = (Q, \sum, \delta, q_0, F) N = (Q, \sum, \delta, q_0, F) where 

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