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We present an exhaustive classification of the 2644 causally complete spacesof input histories on 3 events with binary inputs, together with the algorithmused to find them. This paper forms the supplementary material for a trilogy ofworks: spaces of input histories, our dynamical generalisation of causalorders, are introduced in "The Combinatorics of Causality"; the sheaf-theoretictreatment of causal distributions is detailed in "The Topology of Causality";the polytopes formed by the associated empirical models are studied in "TheGeometry of Causality".

Classification of causally complete spaces on 3 events with binary inputs