The notion of accepting an input is similar to that for the DFA. Thus, in the formal definition of NFA, the next states in the transaction function ‘δ’ is an element of the power set of the states, which is a set of states to be considered at once. Unlike deterministic finite automata, it is non-deterministic finite automata, which means for some state and input symbol, the next state may be nothing or one or more than one possible next states. For each input symbol, it transitions to a new state until all input symbols have been consumed and machine reaches its final state”. Informally an NFA is similar to a DFA i.e, “NFAs is simple machine that used to recognize the pattern with consumes a string of input symbols or alphabet ∑. Scott also showed their equivalence to DFA. NDFA or NFAs were introduced in 1959 by Michael O. Another type of finite automata is Non Deterministic Finite Automata (NDFAs), sometimes it is known as NFAs, does not need to obey the restrictions of finite automata as DFAs.
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