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automata theory · formal languages · state machines

Subset Construction DFA for NFA with ε-Transitions

Tipo Diagrama de estadosNorma OMG UML 2.5.1 §14 + Harel (1987) statechartMotor schematex-stateActualizado 28/9/2026
Subset Construction DFA for NFA with ε-Transitions
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El escenario

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.

Qué hay en este dibujo

Lee las decisiones que hay detrás.

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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