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P2 Compositional bisimulation metric reasoning with Probabilistic Process Calculi

基于概率进程演算的组合性双模拟度量推理
LMCS vol.Volume 12, Issue 42017匹配度 3/10 · 论文属于概率进程演算与双模拟度量语义的形式化研究,涉及组合推理与性能验证,与形式化验证/程序分析有间接关联;但未涉及用户核心关注的 LLM/Agent、静态分析、浮点程序分析或贝叶斯程序分析,也无工程落地与 benchmark 内容。引用 35 inbox
Daniel Gebler, Kim G. Larsen, Simone Tini
dblp: 2026-09-10crossref: 2026-09-10arxiv: 2026-09-10

AI 速览

一句话:提出用一致连续性刻画概率进程演算中双模拟度量语义的组合推理,并支持递归过程与度量式假设保证性能验证。

论文研究概率进程演算的标准算子中,哪些能在双模拟度量语义下支持组合推理。作者提出一致连续性(uniform continuity)作为非扩张性的推广,认为它抓住了组合推理的本质,并使其能够组合地处理递归过程。文章刻画了由标准进程代数算子组合而成的概率过程之间的距离。结合这些结果,作者展示如何通过对连续进程代数算子描述的系统进行组合推理,实现类似 assume-guarantee 的度量性能验证。

问题
在概率进程演算的双模拟度量语义下,标准算子能否支持组合推理,尤其是涉及递归过程时。
方法
提出一致连续性(uniform continuity)来推广非扩张性,并刻画标准进程代数算子组合的概率过程间距离。
评估
以理论结果说明如何对连续进程代数算子描述的系统进行组合推理,并支持类似 assume-guarantee 的度量性能验证。
原文摘要(Abstract)

We study which standard operators of probabilistic process calculi allow for compositional reasoning with respect to bisimulation metric semantics. We argue that uniform continuity (generalizing the earlier proposed property of non-expansiveness) captures the essential nature of compositional reasoning and allows now also to reason compositionally about recursive processes. We characterize the distance between probabilistic processes composed by standard process algebra operators. Combining these results, we demonstrate how compositional reasoning about systems specified by continuous process algebra operators allows for metric assume-guarantee like performance validation.

链接与引用

DOI 原文 · arXiv · PDF(开放获取) · DBLP

BibTeX
@article{GeblerLT16,
  title = {Compositional bisimulation metric reasoning with Probabilistic Process Calculi},
  author = {Daniel Gebler and Kim G. Larsen and Simone Tini},
  journal = {Logical Methods in Computer Science},
  volume = {Volume 12, Issue 4},
  year = {2017},
  doi = {10.2168/lmcs-12(4:12)2016}
}