V2EX decision problem

Decision Problem

定义 Definition(中文)

decision problem(判定问题/决策问题):指一种计算问题,其输出只有两种可能结果,通常是“是/否”(true/false)。在计算复杂性与可计算性理论中,常用来研究某类问题是否可被算法解决、以及需要多少计算资源。

发音 Pronunciation(IPA)

/dsn prblm/

例句 Examples

A yes-or-no question is a decision problem.
“是或否”的问题就是一个判定问题。

In computational complexity, many optimization tasks are first rewritten as a decision problem to classify their difficulty.
在计算复杂性理论中,许多优化任务会先改写成判定问题,以便对其难度进行分类。

词源 Etymology(中文)

decision 来自拉丁语词根,含“裁决、决定”之意;problem 源自希腊语,指“要解决的难题”。组合成 decision problem 时,强调“要做出二选一裁决的问题”,即输出只有两类结果(是/否)的形式。该用法在20世纪数理逻辑、可计算性与计算机科学的发展中被固定下来。

相关词 Related Words

文学与经典著作 Literary Works(出现或常见讨论)

  • Alan Turing, On Computable Numbers, with an Application to the Entscheidungsproblem(1936)
  • Martin Davis, Computability and Unsolvability(1958)
  • Michael Sipser, Introduction to the Theory of Computation(常用于讲解判定问题与复杂性分类)
  • Michael R. Garey & David S. Johnson, Computers and Intractability(讨论将问题表述为判定问题以研究NP完全性)
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