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P2 An Asynchronous Soundness Theorem for Concurrent Separation Logic

并发分离逻辑的异步可靠性定理
LICS Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science2018匹配度 2/10 · 该论文是并发分离逻辑的异步博弈语义与可靠性定理,属于传统形式语义/程序验证理论,未涉及 LLM/Agent、静态分析在 ML 或 Agentic 程序中的应用,也与浮点/贝叶斯程序分析无直接关联。引用 5 inbox
Paul-André Melliès, Léo Stefanesco
crossref: 2026-09-12

AI 速览

一句话:用异步博弈语义为并发分离逻辑建立异步可靠性定理,并解释其常规可靠性及无数据竞争。

并发分离逻辑(CSL)用于共享内存与锁的并发命令式程序规约。本文受异步博弈语义启发,给出一种并发、交互式的逻辑解释:对每个程序 C 构造状态层与指令/锁层的一对异步迁移系统,刻画 C 与环境或 frame 交互时的操作行为。论文证明,Γ⊢{P}C{Q} 的每个推导树 π 都定义了一个在这两个异步语义下获胜的异步策略。由此得到 CSL 的异步可靠性定理:从有状态语义到无状态语义的典范映射满足基本纤维化性质。作者主张这为 CSL 的通常可靠性定理,包括无数据竞争,提供了清晰的概念性解释。

问题
如何为并发分离逻辑(CSL)提供概念清晰的可靠性证明,并解释包括无数据竞争在内的性质。
方法
借鉴异步博弈语义,为程序构造状态层与指令/锁层的异步迁移系统,并将 CSL 推导树解释为获胜异步策略。
评估
证明每个推导树对应获胜异步策略,由此推出异步可靠性定理与典范映射的纤维化性质;评估为理论证明而非实验。
原文摘要(Abstract)

Concurrent separation logic (CSL) is a specification logic for concurrent imperative programs with shared memory and locks. In this paper, we develop a concurrent and interactive account of the logic inspired by asynchronous game semantics. To every program C, we associate a pair of asynchronous transition systems [C]S and [C]L which describe the operational behavior of the Code when confronted to its Environment or Frame --- both at the level of machine states (S) and of machine instructions and locks (L). We then establish that every derivation tree π of a judgment Γ ⊢ {P}C{Q} defines a winning and asynchronous strategy [π]Sep with respect to both asynchronous semantics [C]S and [C]L. From this, we deduce an asynchronous soundness theorem for CSL, which states that the canonical map ℒ: [C]S~[C]L, from the stateful semantics [C]S to the stateless semantics [C]L satisfies a basic fibrational property. We advocate that this provides a clean and conceptual explanation for the usual soundness theorem of CSL, including the absence of data races.

链接与引用

DOI 原文 ·

BibTeX
@inproceedings{paperbot4353,
  title = {An Asynchronous Soundness Theorem for Concurrent Separation Logic},
  author = {Paul-André Melliès and Léo Stefanesco},
  booktitle = {LICS},
  year = {2018},
  doi = {10.1145/3209108.3209116}
}