V2EX bound-variable

Bound Variable

定义 Definition(中文)

Bound variable(约束变量/绑定变量):在逻辑、数学或编程语言中,被量词(如 、)或抽象/绑定结构(如 λ)“绑定”的变量。它的意义只在该绑定结构所限定的作用域(scope)内有效;离开该范围就不再指向同一个变量。

发音 Pronunciation(IPA)

/band vribl/

例句 Examples

In the formula x P(x), x is a bound variable.
在公式 x P(x) 中,x 是一个约束变量。

When you rename a bound variable, the meaning usually stays the same as long as you avoid variable capture.
当你重命名一个约束变量时,只要避免“变量捕获”,表达式的含义通常不会改变。

词源 Etymology(中文)

bound 来自 “bind(绑定、约束)” 的含义延伸,表示“被束缚/被限定的”。variable 源自拉丁语 variābilis(可变化的),指“变量”。合起来,bound variable 字面意思就是“被绑定(被限定作用域)的变量”,与 free variable(自由变量) 相对。

相关词 Related Words

文学与经典著作中的出现 Literary Works(例)

  • Alonzo Church, Introduction to Mathematical Logic(《数理逻辑导论》)
  • Herbert B. Enderton, A Mathematical Introduction to Logic(《逻辑学的数学导论》)
  • Henk Barendregt, The Lambda Calculus: Its Syntax and Semantics(《λ 演算:语法与语义》)
  • Benjamin C. Pierce, Types and Programming Languages(《类型与程序设计语言》)
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