Counterfactual identifiability beyond global monotonicity: non-monotone triangular structural causal models

ArXi:2605.04413v1 Announce Type: new Structural causal models provide a unified semantics for interventions and counterfactuals, but most identifiability results rely on restrictive assumptions like global monotonicity, which are often violated in embodied interaction, where the same exogenous perturbation can induce opposite responses under different contact contexts. We ask what structure still suffices once global monotonicity is dropped. We