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arXiv · 2104.13604

Probabilistic causes in Markov chains

Christel Baier·Florian Funke·Simon Jantsch·Jakob Piribauer·Robin Ziemek
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Abstract

The paper studies a probabilistic notion of causes in Markov chains that relies on the counterfactuality principle and the probability-raising property. This notion is motivated by the use of causes for monitoring purposes where the aim is to detect faulty or undesired behaviours before they actually occur. A cause is a set of finite executions of the system after which the probability of the effect exceeds a given threshold. We introduce multiple types of costs that capture the consumption of resources from different perspectives, and study the complexity of computing cost-minimal causes.

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Christel Baier, Florian Funke, Simon Jantsch, Jakob Piribauer, Robin Ziemek. 2021-04-28. Probabilistic causes in Markov chains. https://arxiv.org/abs/2104.13604

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