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Using Pumping lemma to prove the below language is not regular Let Σ2 = {[ 0...

Using Pumping lemma to prove the below language is not regular

Let Σ2 = {[ 0 0 ] , [ 0 1 ] , [ 1 0 ] , [ 1 1 ]} . Consider each row to be a binary number and let L3 = w ∈ Σ ∗ 2 | the bottom row of w is the square of the top row of w . For example, [ 0 1 ] [ 0 0 ] [ 1 0 ] [ 0 0 ] [ 0 0 ] ∈ L3, but [ 0 1 ] [ 0 0 ] [ 0 0 ] [ 1 0 ] [ 0 0 ] [ 0 0 ] ∈/ L3.

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