V2EX over-approximation

Over-approximation

Definition / 释义

over-approximation(过度近似/上近似):指用一个更宽松、更大的集合、范围或模型来代表真实对象,从而保证包含所有真实情况(但可能把一些实际上不可能的情况也算进去)。常见于数学、形式化验证、静态分析与程序分析中。也可写作 overapproximation

Pronunciation / 发音(IPA)

/ovr prksmen/

Examples / 例句

The analysis uses over-approximation to avoid missing any errors.
该分析采用过度近似,以避免漏掉任何错误。

By computing an over-approximation of all possible program states, the verifier can prove safety, though it may report false alarms.
通过计算所有可能程序状态的上近似,验证器可以证明安全性,但也可能产生误报。

Etymology / 词源

over-(“过度、超过”)+ approximation(“近似”)构成。该术语在科学与工程语境中用来强调:为了“宁可多算、不可漏算”,故意采用包含真实解的更大近似,以换取可靠性(但牺牲精确性)。

Related Words / 相关词

Literary Works / 文学与著作中的用例

  • Principles of Model Checking(Christel Baier, Joost-Pieter Katoen)
  • Static Analysis(Nielson, Nielson, Hankin)
  • Abstract Interpretation: A Unified Lattice Model for Static Analysis of Programs(Patrick Cousot, Radhia Cousot,经典论文)
  • Logic in Computer Science: Modelling and Reasoning about Systems(Huth, Ryan)
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