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Asked Oct 25, 2019
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Use the pumping lemma to show that the following set is NOT regular:

{ww | w => {a,b}*}

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Step 1

Pumping Lemma:

We can prove this by using pumping lemma which states that L is a regular language if there exists a constant n such that every string in w ∈ L, where |w| ≥ n, also there are strings x,y,z such that w = xyz and it must follow the following properties:

  • |y|>=1,
  • |xy| ≤ n,
  • xykz ∈ L for all k ∈ N

The strings that we can get will be like first half will be equal to the second...

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