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MaxWellApexLab/BicausalOT-palomar

KT. Wu

Palomar Registrypalomar/PALOMAR-2026-08-31-000011Aug 31, 2026math.LOscore 0

A Lean 4 formalization of the Bellman value representation for bicausal optimal transport, together with the descriptive-set-theoretic library it requires. The result registered by this Comparator configuration is the Jankov-von Neumann uniformization theorem: for Polish spaces X and Y and a nonempty analytic (Sigma-1-1) set P in X x Y, there is a function phi : X -> Y that uniformizes P on its projection, (x, phi x) in P for every x in proj_X(P), and that is sigma(Sigma-1-1)-measurable, meaning that phi-preimages of Borel subsets of Y lie in the sigma-algebra generated by the analytic…

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