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。
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.
DOI 原文 · arXiv · PDF(开放获取) · DBLP
@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}
}