(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove or Disprove L is regular, where

L = {0[tex]^{i}[/tex]1[tex]^{j}[/tex] | (i[tex]^{2}[/tex] + j[tex]^{2}[/tex]) is square}

2. Relevant equations

N/A

3. The attempt at a solution

I tried using pumping lemma, but I don't know how to assign p if there are two variables (i and j)...

I understand the i[tex]^{2}[/tex] + j[tex]^{2}[/tex] would be like pythagorean theorem, but I cannot relate the pumping lemma given I've been provided two distinct variables...

Can anyone help and guide me? I am not asking for a full solution, instead a bit of a kickstart

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# Automata: Trying to understand how to check if language is regular

Can you offer guidance or do you also need help?

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