V2EX finite automaton

Finite Automaton

释义 Definition

有限自动机:一种抽象计算模型,由有限个状态输入字母表状态转移规则初始状态和(通常还有)接受状态集合组成,用来识别/描述正则语言。常见类型包括 DFA(确定性有限自动机)NFA(非确定性有限自动机)

发音 Pronunciation (IPA)

/fanat tmtn/

例句 Examples

A finite automaton can recognize simple patterns in text.
有限自动机可以识别文本中的简单模式。

In compiler design, a finite automaton is often used to implement lexical analysis by modeling token rules as state transitions.
在编译器设计中,有限自动机常用于实现词法分析,把词法规则建模为状态转移。

词源 Etymology

finite 源自拉丁语 finis(“界限、终点”),强调“有限的、可数的”;automaton 源自希腊语 automatos(“自发的、自动的”),后来指“能自动运作的机器/装置”。合一起,finite automaton 字面义是“状态数量有限、可自动进行状态变化的抽象机器”。

相关词 Related Words

文学与经典作品 Notable Works

  • Introduction to Automata Theory, Languages, and Computation(Hopcroft & Ullman):系统讲解有限自动机与正则语言的经典教材。
  • Automata and Computability(Dexter C. Kozen):以清晰的方式介绍有限自动机、可计算性与形式语言。
  • An Introduction to Formal Languages and Automata(Peter Linz):面向学习者的入门书,有限自动机是核心内容之一。
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