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arXiv · 2207.06801

Parameter Synthesis in Markov Models: A Gentle Survey

Nils Jansen·Sebastian Junges·Joost-Pieter Katoen
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Abstract

This paper surveys the analysis of parametric Markov models whose transitions are labelled with functions over a finite set of parameters. These models are symbolic representations of uncountable many concrete probabilistic models, each obtained by instantiating the parameters. We consider various analysis problems for a given logical specification $\varphi$: do all parameter instantiations within a given region of parameter values satisfy $\varphi$?, which instantiations satisfy $\varphi$ and which ones do not?, and how can all such instantiations be characterised, either exactly or approximately? We address theoretical complexity results and describe the main ideas underlying state-of-the-art algorithms that established an impressive leap over the last decade enabling the fully automated analysis of models with millions of states and thousands of parameters.

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Nils Jansen, Sebastian Junges, Joost-Pieter Katoen. 2022-07-14. Parameter Synthesis in Markov Models: A Gentle Survey. https://arxiv.org/abs/2207.06801

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