What is the role of epsilon transitions in automata theory?

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What is the role of epsilon transitions in automata theory?

The role of epsilon transitions in automata theory is to allow the automaton to move from one state to another without consuming any input symbol. Epsilon transitions are also known as null transitions or lambda transitions. They provide a way to model non-deterministic behavior in automata, allowing for more flexibility in the recognition of languages. Epsilon transitions can be used to represent optional or empty transitions, and they are commonly used in the construction of NFA (Non-deterministic Finite Automaton) and epsilon-NFA.