Eliminating left recursion for E -> E E + | num

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The grammar:

E -> E E +
E -> num

I tried to use the formula for left recursion elimination and got:

E -> num E'
E' -> E Op E' | ɛ

I think I am missing something but this doesn't seem equivalent to me.

In the first grammar, it seems to me that every word in the language doesn't start with more than 2 nums, but in the second grammar this seems entirely possible.



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