mlsanityData to 7 Oct 2026

A Modification of the Halpern-Pearl Definition of Causality

arXiv 1505.00162 ↗First posted 1 May 2015cs.AIcited by 47

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Abstract (arXiv)

The original Halpern-Pearl definition of causality [Halpern and Pearl, 2001] was updated in the journal version of the paper [Halpern and Pearl, 2005] to deal with some problems pointed out by Hopkins and Pearl [2003]. Here the definition is modified yet again, in a way that (a) leads to a simpler definition, (b) handles the problems pointed out by Hopkins and Pearl, and many others, (c) gives reasonable answers (that agree with those of the original and updated definition) in the standard problematic examples of causality, and (d) has lower complexity than either the original or updated definitions.

Key facts. Cited by 47 papers in the map (data through 7 Oct 2026). First posted on arXiv 1 May 2015.

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Citing papers per year: 2021: 9; 2022: 9; 2023: 11; 2024: 6; 2025: 6; 2026: 6.

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  1. 2021Causal Sufficiency and Actual Causationcited by 29
  2. 2022Counterfactual harmcited by 29
  3. 2024LLMs Are Prone to Fallacies in Causal Inferencecited by 21
  4. 2022A Causal Analysis of Harmcited by 15
  5. 2021Explanations for Occluded Imagescited by 14
  6. 2022Quantifying Harmcited by 10
  7. 2021Answer-Set Programs for Reasoning about Counterfactual Interventions and Responsibility Scores for Classificationcited by 9
  8. 2024Causal Explanations for Image Classifierscited by 9
  9. 2021Detecting Multi-Sensor Fusion Errors in Advanced Driver-Assistance Systemscited by 8
  10. 2022Actual Causality and Responsibility Attribution in Decentralized Partially Observable Markov Decision Processescited by 8
  11. 2023A Measure-Theoretic Axiomatisation of Causalitycited by 8
  12. 2021Causal Modeling With Infinitely Many Variablescited by 7
35 more
  1. 2023Occlusion Sensitivity Analysis with Augmentation Subspace Perturbation in Deep Feature Spacecited by 6
  2. 2024Causality from Bottom to Top: A Surveycited by 5
  3. 2023Anticipating Responsibility in Multiagent Planningcited by 4
  4. 2023Multiple Different Black Box Explanations for Image Classifierscited by 4
  5. 2023Towards Computationally Efficient Responsibility Attribution in Decentralized Partially Observable MDPscited by 3
  6. 2023From Database Repairs to Causality in Databases and Beyondcited by 3
  7. 2024Automated Discovery of Functional Actual Causes in Complex Environmentscited by 3
  8. 2021Score-Based Explanations in Data Management and Machine Learning: An Answer-Set Programming Approach to Counterfactual Analysiscited by 2
  9. 2022Causal Explanations for Sequential Decision Making Under Uncertaintycited by 2
  10. 2022Formalizing Statistical Causality via Modal Logiccited by 2
  11. 2023Attribution-Scores in Data Management and Explainable Machine Learningcited by 2
  12. 2021Security Properties as Nested Causal Statementscited by 1
  13. 2021Learning Causal Models of Autonomous Agents using Interventionscited by 1
  14. 2022Improving generalization of machine learning-identified biomarkers with causal modeling: an investigation into immune receptor diagnosticscited by 1
  15. 2022Moral reinforcement learning using actual causationcited by 1
  16. 2023Counterfactuals Modulo Temporal Logicscited by 1
  17. 2025The Causal-Effect Score in Data Managementcited by 1
  18. 2025Causality-Based Scores Alignment in Explainable Data Managementcited by 1
  19. 2025Searching for Actual Causes: Approximate Algorithms with Adjustable Precisioncited by 1
  20. 2025Out-of-the-box: Black-box Causal Attacks on Object Detectorscited by 1
  21. 2021Reasoning about Counterfactuals and Explanations: Problems, Results and Directionscited by 0
  22. 2022Behaviour Explanation via Causal Analysis of Mental States: A Preliminary Reportcited by 0
  23. 2023Embracing Background Knowledge in the Analysis of Actual Causality: An Answer Set Programming Approachcited by 0
  24. 2023Causal Kripke Modelscited by 0
  25. 2023Modifications of the Miller definition of contrastive (counterfactual) explanationscited by 0
  26. 2024A Dynamical View of the Question of Whycited by 0
  27. 2024Agentive Permissions in Multiagent Systemscited by 0
  28. 2025A Counterfactual Cause in Situation Calculuscited by 0
  29. 2025Temporal Causal Reasoning with (Non-Recursive) Structural Equation Modelscited by 0
  30. 2026On the Semantics of Primary Cause in Hybrid Dynamic Domainscited by 0
  31. 2026Beyond But-for Test: Counterfactual Explanation in Abstract Argumentation via Actual Causality (Extended Version)cited by 0
  32. 2026Property-driven Causal Abstractions for Markov Decision Processescited by 0
  33. 2026Computing Actual Causes for Neural Network Predictions under Structured Causal Inputscited by 0
  34. 2026AUDITA: certified auditing and causal attribution of adverse outcomes in autonomous multi-agent systemscited by 0
  35. 2026HANSARD: A Reference Architecture for Forensic Readiness, Runtime Witnessing, and Graded Attribution in Autonomous Multi-Agent AI Systemscited by 0