{"version":"1.0","generated_at":"2026-10-05T17:32:30.428120","id":319,"slug":"mechanized-foundations-of-structural-governance-machine-checked-proofs-for-governed-intelligence","title":"论文速读：Mechanized Foundations of Structural Governance，聚焦形式化数学证明能力","summary":"本文介绍了认知工作流系统结构治理理论的形式化证明成果，包括五个核心定理及Coq机械化实现，展示了如何用数学方法确保AI治理的安全性。","abstract":"论文速读：Mechanized Foundations of Structural Governance，聚焦形式化数学证明能力 本文介绍了认知工作流系统结构治理理论的形式化证明成果，包括五个核心定理及Coq机械化实现，展示了如何用数学方法确保AI治理的安全性。 形式化验证AI治理理论，Coq机械证明安全属性 五个核心定理覆盖安全、不变性、完备性等 四个原子原语表达所有离散智能系统 验证解释器规范，测试7万序列零分歧 结构治理从经验走向数学精确 arXiv:2604.27289v1 公告类型：新 摘要：我们提出了认知工作流系统结构治理理论的五项成果。其中三个在 Coq 8.19 中使用带有参数化共归纳的交互树库进行了机械化；其中两个在纸面上通过显式约简得到证明。共归纳安全谓词 (gov_safe) 是一种共归纳属性，它捕获无限程序行为的治理安全性，由布尔权限标志进行索引，对于不受治理的 I/O，该标志可证明为 false，而对于受治理的解释（机械化）则为 true。治理不变性定理规定，整个元递归塔的治理是统一的：通过类型的定义相等性（机械化），n+1 级的治理简化为 n 级的治理。充分性定理证明，四个原子原语（代码、原因、内存、调用）对于任何离散智能系统来说都是表达完整的，形式化为克莱斯利范畴（机械化）的组合闭包。交替范式提供了将任何机器规范地分解为交替代码和效果层，并具有汇合重写系统（纸质证明）。必然性定理通过对赖斯定理的明确简化证明，对于需要语义判断（纸质证明）的问题，结构上不透明的组件（原语）在数学上是必要的。第六个贡献将抽象模型连接到已部署的运行时：验证解释器规范在…","access_level":"public","access_label":"公开","access_mode":"full","is_preview":false,"canonical_url":"https://opc.beizhux.com/content/319/mechanized-foundations-of-structural-governance-machine-checked-proofs-for-governed-intelligence","html_url":"https://opc.beizhux.com/content/319/mechanized-foundations-of-structural-governance-machine-checked-proofs-for-governed-intelligence","json_url":"https://opc.beizhux.com/content/319/mechanized-foundations-of-structural-governance-machine-checked-proofs-for-governed-intelligence.json","published_at":"2026-05-01T12:00:06","updated_at":"2026-10-05T17:00:02","category":{"slug":"hotspots","name":"全球热点解读"},"source":{"site":"arxiv.org","author":"arXiv cs.AI","url":"https://arxiv.org/abs/2604.27289"},"tags":["AI","AI安全","arXiv 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