The initial state of the minimum DFA is the one containing the initial state of the input DFA, and the accepting states of the minimum DFA are the ones whose members are accepting states of the input DFA.
32.
The initial state of the minimum DFA is the one containing the initial state of the input DFA, and the accepting states of the minimum DFA are the ones whose members are accepting states of the input DFA.
33.
An existential state is accepting if some transition leads to an accepting state; a universal state is accepting if every transition leads to an accepting state . ( Thus a universal state with no transitions accepts unconditionally; an existential state with no transitions rejects unconditionally ).
34.
An existential state is accepting if some transition leads to an accepting state; a universal state is accepting if every transition leads to an accepting state . ( Thus a universal state with no transitions accepts unconditionally; an existential state with no transitions rejects unconditionally ).
35.
One can construct from this machine another finite state machine that recognizes the complementary set, the patterns that do not have predecessors, by converting the nondeterministic finite state machine to a deterministic finite automaton by using the powerset construction, and then complementing its set of accepting states.
36.
If a language recognizer's initial state is also an accepting state, it's natural to say that it accepts the empty string; it would be odd to say that you have to leave and reenter that state before it counts, because that's otherwise never true of accepting states.
37.
If a language recognizer's initial state is also an accepting state, it's natural to say that it accepts the empty string; it would be odd to say that you have to leave and reenter that state before it counts, because that's otherwise never true of accepting states.
38.
Whereas in the case of an ordinary finite automaton every run ends with a state " r " " n " and the input is accepted if and only if " r " " n " is an accepting state, the definition of the set of accepted inputs is more complicated for ?-automata.
39.
If other palindromes ( ending in an accepting state on the left ) have the same crossing sequence, the word ( consisting of a prefix up to the position of the involved crossing sequence ) of the original palindome concatenated with a suffix the remaining length of the other palindrome would be accepted as well.
40.
If the state accepts them ( or fails to act at all ), both the reserving state and the accepting state are relieved of the reserved legal obligation as concerns their legal obligations to each other ( accepting the reservation does not change the accepting state's legal obligations as concerns other parties to the treaty ).
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