i have a theoretical questions, and was wondering if you could help me with it so i could understand the material better.
1)suppose we have some language L over $\Sigma$, can we know if L is regular if all of it equivalence classes of relation $R_L$ is finite?
2)and what about L*? is it finite? i mean the cardinality is infinity(alef), but can it be made into a finite language?
Edit: my question is about Myhill–Nerode relation
i am curious about those and your input would really help me understand more about it
thank you very much!