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.

翻译：本文介绍KOS-TL（知识操作系统类型逻辑），这是一种新颖的构造性框架，旨在为自主可执行知识系统提供严格的逻辑基础。传统的知识表示模型常常面临静态符号逻辑与动态系统执行之间的鸿沟。为弥合这一分歧，KOS-TL利用依赖类型理论，将数据、逻辑与证明统一于单一的计算基底之上。KOS-TL的架构分为三个层次：核心层，定义静态类型宇宙与构造性原语；内核层，通过以三元组$\langle Σ, \textsf{Ev}, Δ\rangle$表征的事件驱动机制来管理状态演化；以及运行时层，负责将物理信号双向精炼为逻辑证据。我们形式化定义了系统的操作语义，并证明了关键的元理论性质，包括进展性与演化一致性，确保系统在连续状态转换过程中保持逻辑自洽且无停滞状态。通过将戴维森事件语义与马丁-洛夫类型理论相结合，KOS-TL能够构建“携带证明的知识”，其中知识库的每一次状态变化都伴随着其有效性的形式化见证。我们通过工业溯源与跨境金融合规的应用实例展示了该逻辑的实用价值。研究结果表明，KOS-TL为下一代智能自主操作系统提供了强大且可形式化验证的基础。