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An Inferential Theory of Causal Reasoning

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Logic, Rationality, and Interaction (LORI 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14329))

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Abstract

We present a general formalism of causal reasoning that encompasses both Pearl’s approach to causality and a number of key systems of nonmonotonic reasoning in artificial intelligence.

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Notes

  1. 1.

    We assume that the labels of associated propositions are self-explanatory.

  2. 2.

    See [20] for a similar point.

  3. 3.

    In what follows, causal rules \(a\Rightarrow A\) are used both as formal objects of our theory and as statements in the meta-language (saying that a causes A).

  4. 4.

    For instance, A can directly cause B, though there are no intermediate causes between A and B.

  5. 5.

    Here \(C_{\varDelta }\) is a causal operator corresponding to the least supraclassical causal inference relation containing \(\varDelta \).

References

  1. Anscombe, G.E.M.: Causality and determination. In: The Collected Philosophical Papers of G.E.M. Anscombe, pp. 133–147. Basil Blackwell (1981)

    Google Scholar 

  2. Bochman, A.: A causal approach to nonmonotonic reasoning. Artif. Intell. 160, 105–143 (2004)

    Article  Google Scholar 

  3. Bochman, A.: A causal logic of logic programming. In: Principles of Knowledge Representation and Reasoning: Proceedings of the Ninth International Conference (KR2004), Whistler, Canada, 2–5 June 2004, pp. 427–437. AAAI Press (2004)

    Google Scholar 

  4. Bochman, A.: Explanatory Nonmonotonic Reasoning. World Scientific, Singapore (2005)

    Book  Google Scholar 

  5. Bochman, A.: A causal theory of abduction. J. Log. Comput. 17, 851–869 (2007)

    Article  Google Scholar 

  6. Bochman, A.: On laws and counterfactuals in causal reasoning. In: Principles of Knowledge Representation and Reasoning: Proceedings of the Sixteenth International Conference, KR 2018, pp. 494–503. AAAI Press (2018)

    Google Scholar 

  7. Bochman, A.: A Logical Theory of Causality. MIT Press, Cambridge (2021)

    Book  Google Scholar 

  8. Bochman, A.: Default logic as a species of causal reasoning. In: Proceedings of KR-2023 (2023). (to appear)

    Google Scholar 

  9. Bochman, A., Lifschitz, V.: Pearl’s causality in a logical setting. In: Proceedings of the 29th AAAI Conference on Artificial Intelligence, pp. 1446–1452. AAAI Press (2015)

    Google Scholar 

  10. Bondarenko, A., Dung, P.M., Kowalski, R.A., Toni, F.: An abstract, argumentation-theoretic framework for default reasoning. Artif. Intell. 93, 63–101 (1997)

    Article  Google Scholar 

  11. Brandom, R.: Articulating Reasons: An Introduction to Inferentialism. Harvard University Press, Cambridge (2000)

    Book  Google Scholar 

  12. Denecker, M., Brewka, G., Strass, H.: A formal theory of justifications. In: 13th International Conference on Logic Programming and Non-monotonic Reasoning (LPNMR), pp. 250–264 (2015)

    Google Scholar 

  13. Lewis, D.: Causation. J. Philos. 70, 556–567 (1973)

    Article  Google Scholar 

  14. Lifschitz, V.: On the logic of causal explanation. Artif. Intell. 96, 451–465 (1997)

    Article  Google Scholar 

  15. Makinson, D., van der Torre, L.: Input/output logics. J. Philos. Log. 29, 383–408 (2000)

    Article  Google Scholar 

  16. McCain, N., Turner, H.: Causal theories of action and change. In: Proceedings of the Fourteenth National Conference on Artificial Intelligence (AAAI-97), pp. 460–465 (1997)

    Google Scholar 

  17. Pearl, J.: Embracing causality in formal reasoning. In: Proceedings of the Sixth National Conference on Artificial Intelligence (AAAI-87), pp. 369–373 (1987)

    Google Scholar 

  18. Pearl, J.: Causality: Models, Reasoning and Inference, 2nd edn. Cambridge University Press, Cambridge (2009). (1st ed. 2000)

    Google Scholar 

  19. Peregrin, J.: Inferentialism: Why Rules Matter. Palgrave-Macmillan, London (2014)

    Book  Google Scholar 

  20. Prawitz, D.: The seeming interdependence between the concepts of valid inference and proof. Topoi 38(3), 493–503 (2019)

    Article  Google Scholar 

  21. Reiter, R.: A logic for default reasoning. Artif. Intell. 13, 81–132 (1980)

    Article  Google Scholar 

  22. Schroeder-Heister, P.: The categorical and the hypothetical: a critique of some fundamental assumptions of standard semantics. Synthese 187(3), 925–942 (2012)

    Article  Google Scholar 

  23. Turner, H.: A logic of universal causation. Artif. Intell. 113, 87–123 (1999)

    Article  Google Scholar 

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Correspondence to Alexander Bochman .

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Bochman, A. (2023). An Inferential Theory of Causal Reasoning. In: Alechina, N., Herzig, A., Liang, F. (eds) Logic, Rationality, and Interaction. LORI 2023. Lecture Notes in Computer Science, vol 14329. Springer, Cham. https://doi.org/10.1007/978-3-031-45558-2_1

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  • DOI: https://doi.org/10.1007/978-3-031-45558-2_1

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