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Bind delayed-cover batches to recursive allocation and return - #5829

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Mister-Meeseeks merged 4 commits into
CrocSwap:mainfrom
aliromman:codex/kappa-third-ten-04
Oct 27, 2026
Merged

Mister-Meeseeks merged 4 commits into
CrocSwap:mainfrom
aliromman:codex/kappa-third-ten-04

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@aliromman

@aliromman aliromman commented Oct 27, 2026 •

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The delayed-cover allocation boundary now has an explicit whole-batch address and return map. A fresh row consumes W=L*H stock values, but each child retains all H high matrices and has volume V/L, not V/W. At depth j the retained batch volume is V/L^j while unused stock is P/(L*H)^j. The resulting active-chain space is below K*V*L/(L-1) <= 2*K*V under the stated local machine premise.

The source-bound proof applies to the final fixed compiled template. It preserves ancestor high matrices, complete child stock, arbitrary payloads and return addresses. Parent-dependent weights remain independent of the child's fresh cover. Private banks increase local space without receiving productive credit. The cover, fresh-cylinder counting theorem and fixed-PR589 packet implementations retain predecessor credit; they are not counted as new constructions.

Validation: 186,252 complete all-depth addresses against a separate coordinate-product oracle; literal nested arbitrary-label descent/return; all 7,776 two-role GL2(Z/9Z) cover rows; 31,104 route/spectator checks; ancestor-weight and exact geometric checks; seven rejection controls. Registered Python3.12, committed-byte/mode, source-corruption and read-only Git-free optimized replay pass. Full-history preflight was not run in the shallow checkout. Hosted CI and independent review remain pending.

This closes a conditional geometry implication named by PR5814. It is a reference address model, not a physical dispatcher. Old atom-interchange, routing/fallback local space, generated descriptor evaluation, numerical children and private return remain implementation obligations. All five project assumptions retain their status. No new kappa or selected-frontier change.

Canonical claim and handoff. PR5814 source: 68614094a31bd483083cfaf1f8735ceb6aec5224. Credit Mason Hale, Nick Petalas, Jose Manuel/jmbarrancoml, Cinna Davis, David Arias, zxv and all retained BIT/compiler/cover sources. Ali Romman with substantial OpenAI Codex assistance; Apache-2.0.

CI dependency: unchanged PR5761 test-only repair ba8a9e640e1983f3c29993fefa3f46e8ed03313a, cherry-picked with original authorship and provenance. No research artifact or selected claim is changed by that repair.

Clean-checkout source repair: the initial hosted job could not resolve pending predecessor commits. SOURCES.json now binds the exact retained input copies in this PR history; retained_predecessors preserves every original head, path, blob and SHA256 plus the retained file/archive member. Original and retained bytes were checked equal. Metadata, committed bytes/modes and declared-pin ancestry checks pass. Source bytes, mathematical assertions and scientific receipts are unchanged. The full-history preflight remains unrun in this shallow checkout. Hosted replay is queued for the new head.

@Mister-Meeseeks
Mister-Meeseeks merged commit 3585bbe into CrocSwap:main Oct 27, 2026
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2 participants