Reasoning about Causal Models with Infinitely Many Variables

Joseph Y. Halpern; Spencer Peters

AAAI 2022technical14 citations

Reasoning about Causal Models with Infinitely Many Variables

Abstract

Generalized structural equations models (GSEMs) (Peters and Halpern 2021), are, as the name suggests, a generalization of structural equations models (SEMs). They can deal with (among other things) infinitely many variables with infinite ranges, which is critical for capturing dynamical systems. We provide a sound and complete axiomatization of causal reasoning in GSEMs that is an extension of the sound and complete axiomatization provided by Halpern (2000) for SEMs. Considering GSEMs helps clarify what properties Halpern's axioms capture.

BibTeX

@inproceedings{aaai2022_reasoningaboutca,
  title = {Reasoning about Causal Models with Infinitely Many Variables},
  author = {Joseph Y. Halpern and Spencer Peters},
  booktitle = {AAAI 2022},
  year = {2022}
}