标题： 结构分离与P vs. NP问题中的语义不相容性：用构造定义功能进行计算复杂性分析 显示英文标题

标题： Structural Separation and Semantic Incompatibility in the P vs. NP Problem: Computational Complexity Analysis with Construction Defining Functionality

摘要： 布尔可满足性问题（SAT）在计算复杂性理论中占据中心地位，作为第一个被证明是NP完全的问题。 由于这一作用，SAT经常被用作多项式时间归约的基准：如果一个问题可以归约到SAT，那么它至少和SAT一样难，因此被认为是NP完全的。 然而，CDF框架提供了一种对这种传统观点的结构反转。 不仅仅是将SAT视为NP完全性的代表，我们研究SAT本身的句法结构——尤其是其3SAT形式——是否是NP问题中观察到的语义爆炸和计算难解性的来源。 换句话说，SAT不仅是NP完全性的标尺，也可能是导致NP型复杂性的结构原型。 这种重新表述表明，P与NP问题不仅根植于计算资源的限制，还根植于问题句法的生成原则，其中3SAT捕捉到了定义易处理和难处理问题之间边界的递归和非局部构造。 显示英文摘要

摘要： The Boolean satisfiability problem (SAT) holds a central place in computational complexity theory as the first shown NP-complete problem. Due to this role, SAT is often used as the benchmark for polynomial-time reductions: if a problem can be reduced to SAT, it is at least as hard as SAT, and hence considered NP-complete. However, the CDF framework offers a structural inversion of this traditional view. Rather than treating SAT as merely a representative of NP-completeness, we investigate whether the syntactic structure of SAT itself -- especially in its 3SAT form -- is the source of semantic explosion and computational intractability observed in NP problems. In other words, SAT is not just the yardstick of NP-completeness, but may be the structural archetype that induces NP-type complexity. This reframing suggests that the P vs NP question is deeply rooted not only in computational resource limits, but in the generative principles of problem syntax, with 3SAT capturing the recursive and non-local constructions that define the boundary between tractable and intractable problems.