What can be said about a regular language L over {a} whose minimal finite…

GATE · 2000 · CS · Question 2 subpartsModified — slightly modified from the official paper; see the solution

What can be said about a regular language L over {a} whose minimal finite state automaton has exactly two states forming a 2-cycle on the input a?

  1. A.

    L must be {an| n is odd}

  2. B.

    L must be {an| n is even}

  3. C.

    L must be {aⁿ | n ≥ 0}

  4. D.

    Either L must be {an | n is odd}, or L must be {an | n is even}

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