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The epsilon closure of a set of states is

  • A.all states reachable from them using epsilon transitions alone
  • B.the set of states from which an accepting state can be reached
  • C.the set of all states in the automaton without exception
  • D.the states reachable on any single input character

Answer: A

Correct answer: all states reachable from them using epsilon transitions alone

The epsilon closure of a set is the set itself together with everything reachable from it by any number of epsilon moves. It is the key operation in the subset construction: since the automaton may take those moves for free at any time, it is effectively in all of those states at once, and the closure is what a single DFA state represents.

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