1/19/2024 0 Comments Non deterministic finite automaton![]() Mealy Machine − The output depends both on the current state and the current input. TransducerĪn automaton that produces outputs based on current input and/or previous state is called a transducer. ClassifierĪ classifier has more than two final states and it gives a single output when it terminates. ![]() All the states of an acceptor is either accepting or rejecting the inputs given to it. In NDFA, backtracking is not always possible.Ī string is accepted by a DFA, if it transits to a final state.Ī string is accepted by a NDFA, if at least one of all possible transitions ends in a final state.Īcceptors, Classifiers, and Transducers Acceptor (Recognizer)Īn automaton that computes a Boolean function is called an acceptor. Hence it is called non-deterministic.Įmpty string transitions are not seen in DFA. The transition from a state can be to multiple next states for each input symbol. The transition from a state is to a single particular next state for each input symbol. The transition function δ as shown below − Let a non-deterministic finite automaton be → The final state is indicated by double circles.The initial state is denoted by an empty single incoming arc.The arcs labeled with an input alphabet show the transitions. ![]() Graphical Representation of an NDFA: (same as DFA)Īn NDFA is represented by digraphs called state diagram. Q 0 is the initial state from where any input is processed (q 0 ∈ Q).į is a set of final state/states of Q (F ⊆ Q). (Here the power set of Q (2 Q) has been taken because in case of NDFA, from a state, transition can occur to any combination of Q states) Δ is the transition function where δ: Q × ∑ → 2 Q ∑ is a finite set of symbols called the alphabets. Formal Definition of an NDFAĪn NDFA can be represented by a 5-tuple (Q, ∑, δ, q 0, F) where − As it has finite number of states, the machine is called Non-deterministic Finite Machine or Non-deterministic Finite Automaton. Hence, it is called Non-deterministic Automaton. In other words, the exact state to which the machine moves cannot be determined. ![]() In NDFA, for a particular input symbol, the machine can move to any combination of the states in the machine. ![]()
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