V2EX boolean constraint propagation

Boolean Constraint Propagation

释义 Definition

布尔约束传播:在布尔变量(只能取真/假)的约束或公式中,根据已知赋值与约束关系,自动推导出更多必然成立的赋值,并将这些推导结果持续“传播”到相关约束中,以缩小搜索空间、提前发现矛盾。常见于 SAT 求解、约束满足问题(CSP) 与相关推理算法中。(在 SAT 里最典型的形式是 unit propagation,单位子句传播。)

发音 Pronunciation (IPA)

/bulin knstrent prpen/

例句 Examples

Boolean constraint propagation can quickly detect contradictions in a SAT problem.
布尔约束传播可以在 SAT 问题中快速发现矛盾。

By combining boolean constraint propagation with backtracking, the solver prunes large parts of the search tree and finds a solution faster.
通过将布尔约束传播与回溯结合,求解器能剪枝大量搜索树分支,从而更快找到解。

词源 Etymology

  • Boolean 源自英国数学家 George Boole(乔治布尔) 的姓氏,指以真/假为核心的布尔逻辑与布尔代数。
  • Constraint 来自拉丁语 constringere(“束紧、限制”),在计算机科学中指必须满足的条件。
  • Propagation 来自拉丁语 propagare(“扩散、传播”),在算法语境里表示将推导出的信息不断传递到其他相关条件中。

相关词 Related Words

文学与著作 Literary Works

  • Handbook of Satisfiability(关于可满足性问题的权威论文集,讨论传播、推理与求解器技术)
  • Artificial Intelligence: A Modern Approach(《人工智能:一种现代的方法》;在约束满足与逻辑推理章节中涉及类似的约束传播思想)
  • Constraint Processing(Rina Dechter;系统介绍约束满足、传播与一致性技术,涵盖与布尔约束传播相近的方法框架)
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