A Note on Halpern’s Theory of Causality: Structural Equations and Interventions as Dynamic Logic Programs

Abstract We embed Halpern’s theory of actual cause into a variant of dynamic logic with assignments. We achieve this by associating dynamic logic programs to its central concepts: structural equations and interventions modifying these equations. With these programs we can reduce reasoning about causality to a model checking problem in dynamic logic.

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Publication Details

Journal
Journal of Logic Language and Information
Published
2026-05-21
DOI
https://doi.org/10.1007/s10849-026-09468-w
Primary Topic
Logic, Reasoning, and Knowledge
Type
article
Field-Weighted Citation Impact
0.00

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article

A Note on Halpern’s Theory of Causality: Structural Equations and Interventions as Dynamic Logic Programs

Andreas Herzig, Abdallah Saffidine
Journal of Logic Language and Information
Logic, Reasoning, and Knowledge
article

A Note on Halpern’s Theory of Causality: Structural Equations and Interventions as Dynamic Logic Programs

Andreas Herzig, Abdallah Saffidine
article en

Abstract

Abstract We embed Halpern’s theory of actual cause into a variant of dynamic logic with assignments. We achieve this by associating dynamic logic programs to its central concepts: structural equations and interventions modifying these equations. With these programs we can reduce reasoning about causality to a model checking problem in dynamic logic.

Journal of Logic Language and Information
Centre National de la Recherche Scientifique (FR), Université Toulouse III - Paul Sabatier (FR), Université Fédérale de Toulouse Midi-Pyrénées (FR), Université Toulouse-I-Capitole (FR), Potato Research Institute (CZ), Institut de Recherche en Informatique de Toulouse (FR), Université Toulouse - Jean Jaurès (FR), Institut Polytechnique de Bordeaux (FR)
Université de Toulouse
Reduced inequalities
Openalex Percentile: Top 4%
Logic, Reasoning, and Knowledge
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