Bisimulation and logical preservation for continuous-time Markov decision processes

被引:0
|
作者
Neuhaeusser, Martin R. [1 ,2 ]
Katoen, Joost-Pieter [1 ,2 ]
机构
[1] Univ Aachen, Rhein Westfal TH Aachen, Software Modeling & Verificat Grp, Aachen, Germany
[2] Univ Twente, Formal Methods & Tools Grp, NL-7500 AE Enschede, Netherlands
关键词
D O I
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中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper introduces strong bisimulation for continuous-time Markov decision processes (CTMDPs), a stochastic model which allows for a nondeterministic choice between exponential distributions, and shows that bisimulation preserves the validity of CSL. To that end, we interpret the semantics of CSL-a stochastic variant of CTL for continuous-time Markov chains-on CTMDPs and show its measure-theoretic soundness. The main challenge faced in this paper is the proof of logical preservation that is substantially based on measure theory.
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收藏
页码:412 / +
页数:4
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