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Remove exceptional-source errors from certified survival counts - #32

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Chessing234 merged 1 commit into
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research/exact-certified-survival-counts
Oct 9, 2026
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Chessing234 merged 1 commit into
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research/exact-certified-survival-counts

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@Chessing234 Chessing234 commented Oct 7, 2026 •

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At any certified finite crossing horizon, actual survival on shifted sources n+2 equals the periodic coefficient test on every input. The change proves exact equality of finite counts, full-period/remainder decomposition, and both periodic count bounds. It instantiates the transfer for all horizons through 14186. It removes the additive finite source cutoff from these finite-horizon identities; it does not prove crossing existence or improve an asymptotic density result.

Validation: both CI runs passed full Lean compilation. Seven theorem axiom footprints allow only standard logical axioms; 22,000 independent exact-orbit/coefficient classifications and 22,011 count identities/bounds passed; two false count controls were rejected. Universal crossing remains open, and frontier priority is unestablished.

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Chessing234 marked this pull request as ready for review October 9, 2026 08:39
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Chessing234 merged commit 18741fa into main Oct 9, 2026
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Chessing234 deleted the research/exact-certified-survival-counts branch October 9, 2026 08:39
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