提出递归一致性原则,揭示智能系统可扩展的关键结构约束。
The Recursive Coherence Principle: A Formal Constraint on Scalable Intelligence, Alignment, and Reasoning Architecture
- 定义递归一致性原则:高阶推理需通过可递归评估的泛化算子保持语义一致。
- 证明唯一满足该原则的架构是功能智能模型(FMI),能避免规模扩大时的失真。
- 为解决对齐、幻觉等难题提供新视角,适合关注可信AI架构的研究者。
智能——无论是生物的、人工的还是集体的——都需要在递归推理过程中保持结构一致性以实现有效扩展。随着复杂系统的增长,若无更高阶结构保障语义一致性,这种一致性将变得脆弱。本文提出递归一致性原则(RCP):对于任意层级N的推理系统,其由作用于层级N-1概念空间的系统组成,只有通过一个可递归评估的泛化算子,跨越并对齐这些低层级概念空间,才能维持语义一致性。关键的是,这种一致性支持结构对齐。缺乏递归一致性,任何系统都无法在规模扩展时可靠保持目标、意义或推理一致性。我们形式化定义了功能智能模型(FMI)为唯一已知可在任意规模下满足RCP的算子。FMI是一种最小且可组合的架构,包含内部功能(评估、建模、适应、稳定、分解、桥接)与外部功能(存储、回溯、系统1与系统2推理),对维护推断与协调层之间的语义结构至关重要。我们证明,任何缺少FMI的系统在扩展时都会出现递归一致性崩溃,因此常见的AI问题如对齐失败、幻觉和不稳定性,皆为结构性一致性丧失的表现。不同于其他基础原则,RCP独特地捕捉了实现可对齐、可扩展智能所需的内部递归动态,建模了递归下的语义一致性。本研究显著影响人工智能对齐,倡导从行为约束转向结构一致性,并为实现可安全泛化的、稳健一致的智能系统提供了路径。
原文摘要 · Abstract (English)
Intelligence-biological, artificial, or collective-requires structural coherence across recursive reasoning processes to scale effectively. As complex systems grow, coherence becomes fragile unless a higher-order structure ensures semantic consistency. This paper introduces the Recursive Coherence Principle (RCP): a foundational constraint stating that for any reasoning system of order N, composed of systems operating over conceptual spaces of order N-1, semantic coherence is preserved only by a recursively evaluable generalization operator that spans and aligns those lower-order conceptual spaces. Crucially, this coherence enables structural alignment. Without recursive coherence, no system can reliably preserve goals, meanings, or reasoning consistency at scale. We formally define the Functional Model of Intelligence (FMI) as the only known operator capable of satisfying the RCP at any scale. The FMI is a minimal, composable architecture with internal functions (evaluation, modeling, adaptation, stability, decomposition, bridging) and external functions (storage, recall, System 1 and System 2 reasoning) vital for preserving semantic structure across inference and coordination layers. We prove that any system lacking the FMI will experience recursive coherence breakdown as it scales, arguing that common AI issues like misalignment, hallucination, and instability are symptoms of this structural coherence loss. Unlike other foundational principles, RCP uniquely captures the internal, recursive dynamics needed for coherent, alignable intelligence, modeling semantic coherence under recursion. This work significantly impacts AI alignment, advocating a shift from behavioral constraints to structural coherence, and offers a pathway for safely generalizable, robustly coherent AI at scale.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。