V2EX context-free language

Context-Free Language

定义 Definition

上下文无关语言:一种形式语言,其所有字符串都能由某个上下文无关文法(CFG)生成。它常用于描述编程语言的语法结构(如括号匹配、表达式的递归结构等)。除这一常见含义外,“language”在日常英语中也可指自然语言,但此处为计算机科学/语言学中的专门术语。

发音 Pronunciation (IPA)

/kn.tkst fri l.wd/

例句 Examples

A context-free language can describe nested parentheses.
上下文无关语言可以描述嵌套的括号结构。

In compiler design, many programming-language syntaxes are modeled as context-free languages, though extra rules are often needed for semantic checks.
在编译器设计中,许多编程语言的语法会被建模为上下文无关语言,不过进行语义检查时通常还需要额外规则。

词源 Etymology

“context-free”由 context(上下文)+ free(不依赖、无须) 组成,意思是“不需要依赖周围上下文”。在形式语言理论里,它强调产生式规则的应用只取决于一个非终结符本身,而不取决于它在字符串中的邻接环境;“language”在此指“由规则生成的字符串集合”。

相关词 Related Words

文学/著作中的用例 Literary / Notable Works

  • Noam Chomsky(乔姆斯基)《Three Models for the Description of Language》(1956):在形式文法框架下讨论语言描述模型,与上下文无关语言体系密切相关。
  • John E. Hopcroft & Jeffrey D. Ullman《Introduction to Automata Theory, Languages, and Computation》:系统讲解上下文无关语言、下推自动机与解析。
  • Michael Sipser《Introduction to the Theory of Computation》:以清晰的教学方式介绍上下文无关语言及其性质。
  • Alfred V. Aho, Ravi Sethi, Jeffrey D. Ullman《Compilers: Principles, Techniques, and Tools》(“龙书”):在编译原理中大量使用上下文无关语言/文法来描述语法分析。
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