TOC language is CFL or not

Question

L={a^n,b^n,c^m / n>m}

we have to compare n and m everywhere I know till we reach b there will be nothing in the stack BUT generally we can make this language if possible

suppose when we are putting one a into the stack suppose we put Two a's on behalf of one a then the no'of a's 2*n into the stack and the we pop one a for one b after completing allb's still there will be n number of a's will be remaining into the stack then we can compare number of a's and number of c's if and one a or more than one a is remaining in the stack then we can accept the string otherwise we can reject the string

I'm asking this question because in one of the video for the question we were  taking two a's on behalf of one .......

Comments

a and b are equal ,then how can you push 2 'a' for every b ,for each 'b' u have to pop  'a ' or for each 2 'b' you have to pop 2 b .you have to push n pop same because both are same.

This is simply csl , there needs of two stack

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No, it will not work as you will not be able to compare the equality of a and b .. by your logic a^2b^1c^1 will be accepted.. which should not be the case.

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It's a CSL.

Answer 1

This is simply CSL, you can not push a's for one b. You have to push 1a for 1b and once you are done with b’s you got stuck on a because in PDA you simply can not go left or save the number of a's.

So finally it is CSL and can be accepted by LBA because of the feature that you can move to either left or right as per the situation. That's why we say that LBA can accept anything.