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Suppose L is a regular language, and M = (Q, , , q0, A) is a deterministic finite state machine such that L(M) = L.

Suppose L is a regular language, and M = (Q, , , q0, A) is a deterministic finite state machine such that L(M) = L. Prove that if |Q| = 2 then one of the following hold: (i)L= (ii) L,or (iii) a such that aL.

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