Christel Baier ; Jakob Piribauer ; Robin Ziemek - Foundations of probability-raising causality in Markov decision processes

lmcs:10015 - Logical Methods in Computer Science, January 19, 2024, Volume 20, Issue 1 - https://doi.org/10.46298/lmcs-20(1:4)2024
Foundations of probability-raising causality in Markov decision processesArticle

Authors: Christel Baier ; Jakob Piribauer ; Robin Ziemek

    This work introduces a novel cause-effect relation in Markov decision processes using the probability-raising principle. Initially, sets of states as causes and effects are considered, which is subsequently extended to regular path properties as effects and then as causes. The paper lays the mathematical foundations and analyzes the algorithmic properties of these cause-effect relations. This includes algorithms for checking cause conditions given an effect and deciding the existence of probability-raising causes. As the definition allows for sub-optimal coverage properties, quality measures for causes inspired by concepts of statistical analysis are studied. These include recall, coverage ratio and f-score. The computational complexity for finding optimal causes with respect to these measures is analyzed.


    Volume: Volume 20, Issue 1
    Published on: January 19, 2024
    Accepted on: December 1, 2023
    Submitted on: September 8, 2022
    Keywords: Computer Science - Logic in Computer Science

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