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Acceptance by a NFA Theory of Computation Video lecture for gate exam preparation computer science, Automata Theory, in hindi, lectures, iit, tutorial, Acceptance. of. Input. Strings. by. Automata. An NFA accepts input string x if and only if there is some path in the transition graph from the start state to one
NFA accepts if and only if there is some set of transitions that will take it to an accepting state. Equivalently, it rejects, if, no matter what transitions are applied, it would not end in an accepting state.
Nondeterministic Finite Automata
Nondeterminism gives a machine multiple options for its moves.
In a nondeterministic finite automaton (NFA),
for each state there can be zero, one, two, or
more transitions corresponding to a particular
symbol.
If NFA gets to state with more than one possible
transition corresponding to the input symbol,
we say it branches.
If NFA gets to a state where there is no valid
transition, then that branch dies.
An NFA accepts the input string if there exists
some choice of transitions that leads to ending
in an accept state.
Thus, one accepting branch is enough for the
overall NFA to accept, but every branch must
reject for the overall NFA to reject.
This is a model of computation. We write DFA
to specify a deterministic finite automaton (the
one defined earlier). If type doesn’t matter, we
now just write FA.
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