mlsanityData to 7 Oct 2026

Reasoning About Causal Models With Infinitely Many Variables

arXiv 2112.11362 ↗First posted 21 Dec 2021cs.AI cs.LOcited by 7

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Abstract (arXiv)

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.

Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). Builds on 3 of its 18 references that are in the map. First posted on arXiv 21 Dec 2021.

Builds on

3 of 18 references.

References · 3

  1. 2017Causal Consistency of Structural Equation Modelscited by 114
  2. 2018Abstracting Causal Modelscited by 104
  3. 2021Causal Modeling With Infinitely Many Variablescited by 7

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 1; 2023: 3; 2024: 1; 2025: 1; 2026: 1.

7 papers.

  1. 2023Causal Models with Constraintscited by 3
  2. 2024Nondeterministic Causal Modelscited by 2
  3. 2023Counterfactuals Modulo Temporal Logicscited by 1
  4. 2023Do Not Marginalize Mechanisms, Rather Consolidate!cited by 1
  5. 2022Behaviour Explanation via Causal Analysis of Mental States: A Preliminary Reportcited by 0
  6. 2025Temporal Causal Reasoning with (Non-Recursive) Structural Equation Modelscited by 0
  7. 2026On the Semantics of Primary Cause in Hybrid Dynamic Domainscited by 0