# Witnessing subsystems for probabilistic systems with low tree width

@article{Jantsch2021WitnessingSF, title={Witnessing subsystems for probabilistic systems with low tree width}, author={Simon Jantsch and Jakob Piribauer and Christel Baier}, journal={ArXiv}, year={2021}, volume={abs/2109.08326} }

A standard way of justifying that a certain probabilistic property holds in a system is to provide a witnessing subsystem (also called critical subsystem) for the property. Computing minimal witnessing subsystems is NP-hard already for acyclic Markov chains, but can be done in polynomial time for Markov chains whose underlying graph is a tree. This paper considers the problem for probabilistic systems that are similar to trees or paths. It introduces the parameters directed tree-partition width…

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