Problem 5 Let G be a left-linear grammar, and let G be the grammar as we defined in the class: G has the same terminal and variable sets as those of G. Furthermore, if G has a production rule A Aw, then G has a production rule A w RA, where w R is the reverse of the string w.

Problem 5 Let G be a left-linear grammar, and let G be the grammar as we defined in the class: G has the same terminal and variable sets as those of G. Furthermore, if G has a production rule A Au, then has a production rule A wRA, where wR is the reverse of the string w. . Prove that L(G) = LR(G). . Show that there exists a right-linear grammar for the language L Note 1: You can use the fact that every right-linear grammar produces a regular language, and vise versa, as we did in the class. But you cannot assume the same result for left-linear grammars This problem asks you to prove it. Note 2: You can use the conclusions of our homework assignments