用类型理论构建可执行的智能知识系统，让每步变化都有逻辑证明。
KOS-TL (Knowledge Operation System Type Logic)
- 基于依赖类型理论统一数据、逻辑与证明，形成统一计算基础。
- 三层次架构支持事件驱动的状态演进，确保系统不卡死且逻辑一致。
- 适合需要高可信度的工业追溯与跨境金融合规场景。
本文提出KOS-TL（知识操作体系类型逻辑），一种新型构造性框架，为自主可执行的知识系统提供严格的逻辑基础。传统知识表示模型常在静态符号逻辑与动态系统执行之间存在断层。KOS-TL通过依赖类型理论将数据、逻辑与证明统一于单一计算基底。其架构分为三层：核心层定义静态类型宇宙与构造原语；内核层通过事件驱动机制⟨Σ, Ev, Δ⟩控制状态演化；运行层实现物理信号与逻辑证据间的双向精化。我们形式化定义了系统操作语义，并证明了关键元理论性质，包括进展性（Progress）与演化一致性（Evolutionary Consistency），确保系统在连续状态转换中保持逻辑自洽且无停滞状态。通过融合Davidsonian事件语义与Martin-Löf类型论，KOS-TL实现了“携带证明的知识”，即知识库的每次状态变更均附带有效性正式见证。我们在工业溯源与跨境金融合规应用中验证了该逻辑的实际效用，结果表明KOS-TL为下一代智能自主操作系统提供了坚实、可形式化验证的基础。
原文摘要 · Abstract (English)
This paper introduces KOS-TL (Knowledge Operation System Type Logic), a novel constructive framework designed to provide a rigorous logical foundation for autonomous and executable knowledge systems. Traditional knowledge representation models often suffer from a gap between static symbolic logic and dynamic system execution. To bridge this divide, KOS-TL leverages Dependent Type Theory to unify data, logic, and proof into a singular computational substrate.The architecture of KOS-TL is organized into three hierarchical layers: the Core Layer, which defines the static type universe and constructive primitives; the Kernel Layer, which governs state evolution through an event-driven mechanism characterized by the triple $\langle Σ, \textsf{Ev}, Δ\rangle$; and the Runtime Layer, responsible for the bidirectional refinement of physical signals into logical evidence. We formally define the operational semantics of the system and prove key meta-theoretical properties, including Progress and Evolutionary Consistency, ensuring that the system remains logically self-consistent and free from stuck states during continuous state transitions.By integrating Davidsonian event semantics with Martin-Löf type theory, KOS-TL enables the construction of "proof-carrying knowledge," where every state change in the knowledge base is accompanied by a formal witness of its validity. We demonstrate the practical utility of this logic through application examples in industrial traceability and cross-border financial compliance. Our results suggest that KOS-TL provides a robust, formally verifiable basis for the next generation of intelligent, autonomous operating systems.
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