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How many different languages over the unary alphabet {a} are recognized by 2-state DFAs? Hint: first calculate how many different 2-state DFAs there are over

How many different languages over the unary alphabet {a} are recognized by 2-state DFAs? Hint: first calculate how many different 2-state DFAs there are over that alphabet, and then see if any of those accept the same languages.

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