V2EX nfa

NFA

Definition / 释义

NFAnondeterministic finite automaton 的缩写,中文常译为非确定性有限自动机。它是一种用于描述与识别正则语言的计算模型:在同一输入符号下,可能从某个状态“同时”存在多条可选转移(也常允许 ε 转移,即不消耗输入字符的转移)。
(注:在其他语境里 NFA 也可能指别的缩写,如法律或行政用语,但计算机科学中最常见的是上述含义。)

Pronunciation / 发音

/n f e/

Examples / 例句

An NFA can have more than one possible next state for the same input.
NFA 在同一输入下可以有不止一个可能的下一状态。

To prove a language is regular, we can construct an NFA with ε-transitions and then convert it to an equivalent DFA.
为了证明某个语言是正则的,我们可以先构造带有 ε 转移的 NFA,然后将其转换为等价的 DFA。

Etymology / 词源

NFA 来自英文术语 nondeterministic finite automaton 的首字母缩写:**non-**(非)+ deterministic(确定性的)+ finite(有限的)+ automaton(自动机)。该概念在形式语言与自动机论中用于刻画“非确定选择”的状态转移,并与 DFA(确定性有限自动机)形成对照。

Related Words / 相关词

Literary Works / 文学与作品例证

  • Introduction to Automata Theory, Languages, and Computation(Hopcroft, Motwani & Ullman):以 NFA/DFA 为核心概念讲解正则语言与自动机。
  • Introduction to the Theory of Computation(Michael Sipser):用 NFA 解释正则语言、闭包性质与等价转换。
  • Automata and Computability(Dexter C. Kozen):在计算性与形式模型章节中系统使用 NFA。
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