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(c) (3 points) Consider Pumping Lemma 2, given below: i. for all positive integers p, ii. there exists a word we L with (w >

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(c) (3 points) Consider "Pumping Lemma 2", given below: i. for all positive integers p, ii. there exists a word we L with (w > p such that iii. there exists a split of w = xyz with |xy|

0 such that iv. for some i, zy'z & L. then L is not regular. Note that Pumping Lemma 2 is not true! However, for this problem, we are going to pretend that it is. Give a proof, using Pumping Lemma 2, that the language L = {w \w is a binary string with an even number of ones} is not regular

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