An ε-transition, also known as an epsilon transition, is a special type of transition in nondeterministic finite automata (NFA) that allows the automaton to change states without consuming any input symbols. This means that an ε-transition can occur freely, enabling the automaton to explore multiple paths without needing to read a character from the input string. The presence of ε-transitions can significantly increase the power and flexibility of NFAs, allowing them to recognize certain languages more easily than deterministic finite automata (DFA).
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