] Let L be the language Problem 3 over the alphabet E= {a,b, c, g} that contains ex- actly those strings whose form is: INSTRUCTOR'S SOLUTION: (b) Proof that L is not context free: g™c"bm+n+2,3k+1 where m, n, k > 0 are natural numbers. If L is context free, then use part (a) of the answer space below to write a complete formal definition of a context free grammar that generates L, and do not write anything in part (b). If L is not context free, then do not write anything in part (a) of the answer space, but complete the missing parts of the text given in part (b) so as to obtain a proof that L is not context free. (a) Context free grammar for L:

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