# 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} [duplicate]

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.

• 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? – Raphael Dec 9 '18 at 21:04
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