automata is simply plural of automaton.
shantanu sharma
SCRIET 2008-2012
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The state machine described in the previous section is a deterministic finite automaton, in which each state is unique. What would make a finite automaton nondeterministic is if each state was not. For the example, if the state machine allowed the input to have any letter as the second letter for the word "person" to transition to the next, then the next state would not be unique, making it a nondeterministic finite automaton.
A deterministic Finite Automata)DFA will have a single possible output for a given input.The answer is deterministic because you can always feel what the output will be.A (Nondeterministic Finite Automata)NFA will have at least one input which will cause a "choice" to be made during a state transition,unlike a (deterministic Finite Automata)DFA one input can cause multiple outputs for a given (Nondeterministic Finite Automata)NFA.
The defining characteristic of FA is that they have only a finite number of states. Hence, a finite automata can only "count" (that is, maintain a counter, where different states correspond to different values of the counter) a finite number of input scenarios.There is no finite automaton that recognizes these strings:The set of binary strings consisting of an equal number of 1's and 0'sThe set of strings over '(' and ')' that have "balanced" parenthesesThe 'pumping lemma' can be used to prove that no such FA exists for these examples.
the greeks
DFA stands for Deterministic finite automaton and NFA stands for Nondeterministic finite automaton.Formally, an automaton is made up of: were delta is the transition function. In a DFA, delta takes as input a state and letter and returns only one state. In an NFA, delta takes as input a state and letter but returns a set of states.An NFA accepts a word iff there exists a run of the automaton on it (intuitively, the automaton guesses an accepting run). A DFA has only one run on every word and therefore accepts a word iff the single run on it is accepting.