Question: The language L = {w | w contains as many occurrences of the substring ab as occurences of the substring ba} is regular. Prove it

The language L = {w | w contains as many occurrences of the substring ab as occurences of the substring ba} is regular. Prove it by giving an FA (deterministic or non-deterministic) for L. Explain why this FA accepts this language.

Examples:

accepted: aba, baaabab

not accepted: abb, abababab

thank you!

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