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Formal Languages and Automata: Let G1=(V1,?,S1,P1) be right-linear and G2=(V2,?,S2,P2) be a left-linear grammar, and assume that V1V1 and V2V2 are disjoint. Consider the linear

Formal Languages and Automata: Let G1=(V1,?,S1,P1) be right-linear and G2=(V2,?,S2,P2) be a left-linear grammar, and assume that V1V1 and V2V2 are disjoint. Consider the linear grammar G=({S}?V1?V2,?,S,P)G=({S}?V1?V2,?,S,P) where SS is not in V1?V2V1?V2 and P={S?S1|S2}?P1?P2P={S?S1|S2}?P1?P2. Show that L(G)L(G) is regular.

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