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P2 Effectful Mealy Machines: Bisimulation and Trace

带效应的 Mealy 机:互模拟与迹
LICS 2025 40th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)2025匹配度 2/10 · 该论文属于形式语义与自动机/余代数理论,讨论带效应 Mealy 机的互模拟与迹语义,与用户核心关注的 LLM/Agent 程序静态分析、浮点程序分析、贝叶斯程序分析及其与 LLM 的交叉均无直接关联;仅与 PL 形式化方法有较弱的理论背景联系。引用 1 inbox
Filippo Bonchi, Elena Di Lavore, Mario Román
crossref: 2026-09-12

AI 速览

一句话:提出带全局效应的 Mealy 机,以自由一致反馈刻画互模拟,并用带效应流建立迹的余代数语义。

论文引入带效应的 Mealy 机(effectful Mealy machines),将经典 Mealy 机推广到具有全局效应的情形,并为其建立互模拟与迹两种语义。互模拟通过自由一致反馈(free uniform feedback)给出语法刻画;迹则被赋予一种新的语义余代数宇宙,即带效应流(effectful streams)。作者证明该框架能推广标准因果过程,并统一捕获已有的 Mealy 机、互模拟与迹的多种变体,从而为效应与反馈下的交互系统提供统一的语义基础。

问题
如何为带有全局效应的 Mealy 机给出统一的互模拟与迹语义,并推广经典 Mealy 机与因果过程。
方法
用自由一致反馈对互模拟作语法刻画,并以带效应流作为迹的余代数语义模型。
评估
通过证明该框架推广标准因果过程并捕获已有 Mealy 机、互模拟与迹的变体来评估其一般性。
原文摘要(Abstract)

We introduce effectful Mealy machines - a general notion of Mealy machine with global effects - and give them semantics in terms of both bisimilarity and traces. Bisimilarity of effectful Mealy machines is characterized syntactically, via free uniform feedback. Traces of effectful Mealy machines are given a novel semantic coinductive universe in terms of effectful streams. We prove that this framework generalizes standard causal processes and captures existing flavours of Mealy machine, bisimilarity, and trace.

链接与引用

DOI 原文 ·

BibTeX
@inproceedings{paperbot8644,
  title = {Effectful Mealy Machines: Bisimulation and Trace},
  author = {Filippo Bonchi and Elena Di Lavore and Mario Román},
  booktitle = {LICS},
  year = {2025},
  doi = {10.1109/lics65433.2025.00047}
}