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.

翻译：布尔可满足性问题（SAT）作为首个被证明的NP完全问题，在计算复杂性理论中占据核心地位。由于这一角色，SAT常被用作多项式时间归约的基准：若一个问题可归约至SAT，则其至少与SAT同等困难，因此被视为NP完全问题。然而，CDF框架对这一传统观点提出了结构性反转。我们并非仅将SAT视为NP完全性的代表，而是探究SAT自身的句法结构——尤其是其3SAT形式——是否为NP问题中观察到的语义爆炸与计算难解性的根源。换言之，SAT不仅是NP完全性的度量标准，更可能是诱发NP类复杂度的结构原型。这一重构表明，P与NP问题不仅深植于计算资源的限制，更与问题句法的生成原理密切相关，而3SAT所捕捉的递归与非局部构造，正定义了可解问题与难解问题之间的边界。