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automata theory · compiler design · lexical analysis

Subset Construction: NFA to DFA for Identifier Pattern

Type Diagramme d’étatsNorme OMG UML 2.5.1 §14 + Harel (1987) statechartMoteur schematex-stateMis à jour 28/09/2026
Subset Construction: NFA to DFA for Identifier Pattern
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Le scénario

Given an NFA for a lexer identifier pattern `[a-zA-Z][a-zA-Z0-9_]*`, subset construction generates a DFA whose states are sets of NFA states: {q0}, {q1}, and ∅.

Ce que contient ce dessin

Comprenez les décisions qui le sous-tendent.

01

Start state is epsilon-closure of q0, yielding {q0}.

02

On letter from {q0}, move to {q1} which contains accepting NFA state q1.

03

Unlisted inputs lead to dead state ∅, a non-accepting sink with a self-loop for any symbol.

04

Mark {q1} as accepting because it contains the NFA's accept state.

Use when converting any nondeterministic finite automaton to a deterministic one, especially for lexical analyzer generation.

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