There are pumping lemma proof. I have to find one mistake. Please help me [lemma proof][1]
2026-03-25 10:55:29.1774436129
Find the mistakes(pumping lemma proof). Can you help me?
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The fact $\ell > 0$ does not imply that $a^{n+\ell}a^n$ is not in the language. For example, for $n=2,\ell=2$ you have that it is a sequence of $6$ times the $a$ character, which belongs to the language, as it equals $a^3a^3$. The last part of the argument is then flawed.