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Can anybody help me out with this? If I try to compare $a$'s with $b$'s to check if $j\ge i$ then I won't be able to compare the same number of $b$'s with the number of $c$'s that is to check if $j\le 2k$.

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  • $\begingroup$ Have you already considered the possibility that there is no PDA for this language? $\endgroup$ – ttnick Oct 15 at 13:50
  • $\begingroup$ actually i did not consider that ...... so i assume the said language cannot be accepted by a PDA but instead it can be accepted by a turing machine $\endgroup$ – leaf Oct 15 at 14:40

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