Termination of the classical inflation hierarchy on pair-source networks
Machine-checked Lean 4 proofs of two theorems about the classical inflation hierarchy. The headline theorem, TriangleInflation.Graph.classification_NW, classifies the scenarios on which the hierarchy terminates: for a pair-source scenario with binary observations, some finite Navascués–Wolfe order characterizes compatibility iff every connected component is a double-star, and then order two suffices. A pair-source scenario is a finite simple graph without isolated vertices, one binary observed variable per vertex and one independent latent source per edge; a double-star is a tree of diameter…
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