Question: Please answer all questions! This question develops your ability to design CFGs. For each of the following languages, give a CFG. Assume the alphabet is

Please answer all questions!

Please answer all questions! This question develops your ability to design CFGs.

This question develops your ability to design CFGs. For each of the following languages, give a CFG. Assume the alphabet is Sigma = {0, 1}. For string x = x_1x_2 ellipsis x_n, we define x^R:= x_n ellipsis X_2x_1, i.e. this operation reverses the order of the symbols in x. Justify your answers briefly. {x | x starts and ends with the same symbol}. {x |the length of x is odd}. {x| x = xR, that is, x is a palindrome}. Phi For this part, set E = {a, b, $}. The language is then {x_1Sx_2$ ellipsis $_x_k | k greaterthanorequalto 1, each x_I belong {a, b}^*, and for some I and j, x_i = x^R_j}

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