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arXiv · 2303.09925

Classification of causally complete spaces on 3 events with binary inputs

Stefano Gogioso·Nicola Pinzani
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Abstract

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

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Stefano Gogioso, Nicola Pinzani. 2023-03-13. Classification of causally complete spaces on 3 events with binary inputs. https://arxiv.org/abs/2303.09925

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