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suppuse that N1(Q1,∑, δ1,q1,F1)N1(Q1,∑, δ1,q1,F1) N_1 (Q_1, \sum,\ \delta_1,q_1,F_1) recognizes the regular languages A1A1 A_1 and N2(Q2,∑, δ2,q2,F2)N2(Q2,∑, δ2,q2,F2) N_2 (Q_2, \sum,\ \delta_2,q_2,F_2) recognizes the regular languages A2A2 A_2 , we construct the finite automata N(Q,∑, δ,q0,F)N(Q,∑, δ,q0,F) N (Q, \sum,\ \delta,q_0,F) where
suppuse that N1(Q1,∑, δ1,q1,F1) N_1 (Q_1, \sum,\ \delta_1,q_1,F_1) recognizes the regular languages A1 A_1 and N2(Q2,∑, δ2,q2,F2) N_2 (Q_2, \sum,\ \delta_2,q_2,F_2) recognizes the regular languages A2 A_2 , we construct the finite automata N(Q,∑, δ,q0,F) N (Q, \sum,\ \delta,q_0,F) where
non regular languages are recognizes by NFAs
1 + 1 = 2