Problem 2. Prove that the language L2={aib2ii0} is not regular langua.pdf

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A

The language L2={aib2ii0} is not a regular language. Using the Pumping Lemma, for any string s in L2 of length n, s can be divided into five pieces xyz such that |xy|<=n, |y|>0, and for any i, xyiz is in L2. However, there is no possible division for the string aaabbbbbb that satisfies the conditions of the Pumping Lemma.

Problem 2. Prove that the language L2={aib2ii0} is not regular language using Pumping
Lemma. For examples, we have aaabbbbbbL2 with i=3, and aaabbb/L2.

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