I am currently working on the usage of pumping lemma and I need to know why do we use pumping lemma? the main question asked is why? I know we can prove the non-regularity and I know the formula/proof as well, I'd just like to ask why?
We use the Pumping Lemma IFF we can use it, because in those cases where we can use it, it provides much shorter and simpler proofs than other alternative proof methods.