(i) Suppose that L is a finite language whose words are w 1 , w 2 ,...

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(i) Suppose that L is a finite language whose words are w1 , w2 , w3 , • • • , w83 . Prove that there is a TG that accepts exactly the language L.

(ii) Of all TGs that accept exactly the language L, what is the one with the fewest number of states?

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