Given the following statements: (i) The power of deterministic finite state…

2012

Given the following statements:

(i) The power of deterministic finite state machine and non-deterministic finite state machine are same

(ii) The power of deterministic pushdown automaton and non-deterministic pushdown automaton are same

Which of the above is the correct statement(s)?

  1. A.

    Both (i) and (ii)

  2. B.

    Only (i)

  3. C.

    Only (ii)

  4. D.

    Neither (i) nor (ii)

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Correct answer: B

Statement (i) is true because deterministic finite automata and non-deterministic finite automata recognize the same class of regular languages. Statement (ii) is false because non-deterministic pushdown automata are strictly more powerful than deterministic ones. Therefore, only statement (i) is correct.

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