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4. (30 points). Give a context-free grammar (CFG) for each of the following languages, over the alphabet = { 0 , 1 , 2 }

4. (30 points). Give a context-free grammar (CFG) for each of the following languages, over the alphabet = { 0 , 1 , 2 } .

(a) { 0 i 1 j 2 n | i, j, n 1 and i + j = n }

(b) { w | w = w R , that is, w is a palindrome

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