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- W4287905617 abstract "We propose a formalization of the three-tier causal hierarchy of association, intervention, and counterfactuals as a series of probabilistic logical languages. Our languages are of strictly increasing expressivity, the first capable of expressing quantitative probabilistic reasoning -- including conditional independence and Bayesian inference -- the second encoding do-calculus reasoning for causal effects, and the third capturing a fully expressive do-calculus for arbitrary counterfactual queries. We give a corresponding series of finitary axiomatizations complete over both structural causal models and probabilistic programs, and show that satisfiability and validity for each language are decidable in polynomial space." @default.
- W4287905617 created "2022-07-26" @default.
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- W4287905617 date "2020-01-09" @default.
- W4287905617 modified "2023-10-17" @default.
- W4287905617 title "Probabilistic Reasoning across the Causal Hierarchy" @default.
- W4287905617 doi "https://doi.org/10.48550/arxiv.2001.02889" @default.
- W4287905617 hasPublicationYear "2020" @default.
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