A cubical formalisation of topos causal models: intervention, forcing, and a contextuality obstruction
Topos causal models recast causal inference inside a topos: a causal world is a presheaf, an intervention is a sub-model named by a characteristic map into the subobject classifier $\Om$, and reasoning is Kripke-Joyal forcing in an intuitionistic internal language. We give the first axiom-free machine-checked account of this 1-topos core, in Cubical Agda over a previously verified probability monad and do-calculus; the framework is otherwise developed on paper, with central claims stated rather than proved. Three of our results go beyond faithful transcription. We exhibit a contextuality obstruction the programme does not treat: pairwise-consistent local causal data with no global model, ...
| Authors | Karen Sargsyan |
|---|---|
| Primary category | cs.LO |
| Published | 17 July 2026 |
| Last updated at source | 3 August 2026 |
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