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This question already has an answer here:

Is this language context-free? $\Sigma$ = {a,b,#}, L = {x1#x2#...#xk : k$\geq$2, every $x_i \in$ {a,b}* and xi $\neq$ xj for every pair i $\neq$ j} I think it is not, because the PDA can't memorize every word to be unequal to every other word.

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marked as duplicate by Raphael Dec 9 '18 at 21:04

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  • $\begingroup$ What have you tried towards proving your claim? Where did you get stuck? We do not want to just hand you the solution; we want you to gain understanding. However, as it is we do not know what your underlying problem is, so we can not begin to help. See here for tips on asking questions about exercise problems. If you are uncertain how to improve your question, why not ask around in Computer Science Chat? $\endgroup$ – Raphael Dec 9 '18 at 21:04
  • $\begingroup$ The title you have chosen is not well suited to representing your question. Please take some time to improve it; we have collected some advice here. Thank you! $\endgroup$ – Raphael Dec 9 '18 at 21:04