Hello professor, I have a question. I was trying to solve this question and write a grammar for it I have a language L={A^nB^m| n,m>=0} . The answer of was S->aS|B|ε and B->bB|ε and i solved like this S->aSB|ε and B->bB|ε and i tried to get help from Chatgpt and It responded to me it is not correct because it cannot for example design the string {aaa} which the above grammar can, why i cannot have it if in the second grammar I put ε every time instead of B I can generate three {aaa} . As the matter of fact I did not understand the intuition of the Chatgpt. Thanks in advance
Dear Sara, your grammar is correct. ChatGPT is wrong here.
However notice that your grammar is unnecessarily complex, you generate many B's that may have later to turn into epsilon.
However notice that your grammar is unnecessarily complex, you generate many B's that may have later to turn into epsilon.