A regular language \(L\) is accepted by a non-deterministic finite automaton…

GATE · 2025 · CS · Set 1 · Computer Science & IT

A regular language LL is accepted by a non-deterministic finite automaton (NFA) with nn states. Which of the following statement(s) is/are FALSE?

  1. A.

    LL may have an accepting NFA with  <n< n states

  2. B.

    LL may have an accepting DFA with <n< n states.

  3. C.

    There exists a DFA with  ≤2n≤ 2^n states that accepts LL.

  4. D.

    Every DFA that accepts LL has  >2n> 2^n states.

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