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Subset Construction DFA for NFA with ε-Transitions

유형 상태 다이어그램표준 OMG UML 2.5.1 §14 + Harel (1987) statechart엔진 schematex-state업데이트됨 2026. 9. 28.
Subset Construction DFA for NFA with ε-Transitions
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상황

An NFA with epsilon transitions is converted to an equivalent DFA using subset construction. This diagram shows the deterministic state machine where each state is a set of NFA states.

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01

Start with ε-closure of the NFA start state

02

Include a dead state ∅ for undefined transitions to keep the DFA complete

03

Mark states containing an NFA accept state as accepting using notes rather than final pseudo-states

Use when transforming a non-deterministic finite automaton with ε-transitions into a deterministic one for simulation, minimization, or regex matching.

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