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4. (Non-CFLs) Prove that the following languages are not context-free. (b) The following language over the alphabet {a, b, c}: B = {a i x

4. (Non-CFLs) Prove that the following languages are not context-free.

(b) The following language over the alphabet {a, b, c}:

B = {aix | i 0, x {b, c}* , and if i = 1 then x = ww for some string w}.

(Careful: B satisfies the pumping lemma for CFLs! Make sure you understand why, but you dont need to write it down.)

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