V2EX chomsky hierarchy

Chomsky Hierarchy

Definition / 定义

乔姆斯基层级(Chomsky Hierarchy):形式语言与文法的一种分类体系,按生成能力从弱到强将文法/语言分为四类:

  • Type 3 正则文法(Regular)
  • Type 2 上下文无关文法(Context-free)
  • Type 1 上下文有关文法(Context-sensitive)
  • Type 0 无限制文法(Unrestricted / Recursively enumerable)
    常用于计算机科学中的自动机理论、编译原理与语言学中的形式句法研究。(该术语也常泛指这四类语言之间的包含关系与对应的计算模型。)

Pronunciation / 发音

/tmski harrki/

Examples / 例句

The Chomsky hierarchy helps students compare different kinds of grammars.
乔姆斯基层级帮助学生比较不同类型的文法。

In compiler design, understanding where a language sits in the Chomsky hierarchy can guide parser choices and complexity expectations.
在编译器设计中,了解一种语言在乔姆斯基层级中的位置,有助于选择解析器并预估复杂度。

Etymolgy / 词源

Chomsky 来自语言学家 Noam Chomsky(诺姆乔姆斯基) 的姓氏,这一分类体系与他在形式语言与生成语法方面的早期研究密切相关;hierarchy 意为“层级/等级体系”,源自希腊语 hierarkhia(“神圣的统治/等级秩序”),后引申为一般意义上的分层结构。

Related Words / 相关词

Literary Works / 文学作品

  • Noam Chomsky, “Three Models for the Description of Language”(1956)
  • Noam Chomsky, Syntactic Structures(1957)
  • Noam Chomsky, Aspects of the Theory of Syntax(1965)
  • John E. Hopcroft & Jeffrey D. Ullman, Introduction to Automata Theory, Languages, and Computation(1979)
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