Question: Can I get explanations on how these work please a) A language can be accepted by an FA iff the indistinguishability relation has finitely many

Can I get explanations on how these work please

a) A language can be accepted by an FA iff the indistinguishability relation has finitely many equivalence classes

b) Kleene's theorem: A language is regular iff it can be accepted by an FA

c) A language can be accepted by an FA iff it can be accepted by an NFA

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