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单词 Arithmetic hierarchy
释义

Arithmetic hierarchy

中文百科

算数阶层 Arithmetical hierarchy

(重定向自Arithmetic hierarchy)

算术阶层是递归论或可计算性理论中的概念,将自然数的子集按照定义它们的公式的复杂度分类。

英语百科

Arithmetical hierarchy 算数阶层

(重定向自Arithmetic hierarchy)

In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene–Mostowski hierarchy classifies certain sets based on the complexity of formulas that define them. Any set that receives a classification is called arithmetical.

The arithmetical hierarchy is important in recursion theory, effective descriptive set theory, and the study of formal theories such as Peano arithmetic.

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更新时间:2025/6/21 18:59:31