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Bound single projections for Type A singleton idles - #7399

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ToikY wants to merge 3 commits into
CrocSwap:mainfrom
ToikY:codex/p104-type-a-singleton-idle-projection-bound
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ToikY wants to merge 3 commits into
CrocSwap:mainfrom
ToikY:codex/p104-type-a-singleton-idle-projection-bound

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@ToikY

@ToikY ToikY commented Nov 12, 2026

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Change and mathematical scope

NO VERIFIED GAIN. Replacing the two exact Type A stage-8 singleton idles at clocks 1466 and 1487 by one projected operation fails with the intervening caller word fixed. The direct old-minus-erased derivative has a 2×2 identity minor on roles 7 and 25. An independent bracket derivation also gives a determinant-4 minor at B8 = −1 with q and the other bodies fixed to 1. A single projected replacement has difference rank at most one under the declared local wrappers. The one tested pair is excluded. The stage-9 stock pair is outside this test.

The exact full-invoice one-edit gross upper is 3.848300498820991 raw with one rank-16 replacement. The two-pair stock upper is 7.696600997641981. The exact rank obstruction also applies to the optimistic rank-8 single-projection relaxation. The verified saving is zero.

Task and overlap

Use exact #7334 at aaeec8c0acf01e99a5f331ef363a698d9c084ace and signed #7113 at 07a76c5e2738882c0cb322278e56f6cae3c9885d. #7360 treats same-role Type B pairs. The Type A interval here contains 20 strict interior events, including six intervening stage-8 factors retained in both maps. The package is the only new research commit, stacked on the existing #7257 CI commits.

Validation

python3.12 -I -B research/p104-type-a-singleton-idle-projection-bound/replay.py

The clean replay checks the complete directed quote, direct derivative and independent bracket proof. Three deterministic receipts reproduce and three altered dependencies reject. Registered replay, committed bytes and modes, source history, navigation and official Git-free export replay passed locally. No full candidate replay followed the failed necessary rank gate.

Credit

#7334 and #7113 supply the exact input word and caller. #7295 supplies the idle stock and tariff context, #7315 the projector method, #7360 the Type B same-mask precedent, #7144 the fixed-gauge context, and #7362 and #7298 the signed price. OpenAI Codex and subagents materially assisted.

Open next questions

A two-return provider or changed intervening derivative stock needs a new signed contract and a complete price. The stage-9 pair requires its own exact support test.

Clear1nsight and others added 3 commits November 11, 2026 15:39
This is the exact documentation prerequisite retained by CrocSwap#7156. It points the onboarding check to the selected CrocSwap#7000/CrocSwap#7001 review. Credit to Rohan Arun and the source authors.
The PR CrocSwap#6292 rejection census and package plan are statements about 2485805. Load its exact sources and planner in a private sparse checkout, keeping all source hashes, 19 expected rejections, nine package selections and the empty-plan control. Subsequent edits to the live Makefile and CI guide no longer invalidate this historical check.

The original audit is by unpaidmoon, building on Dennis’s historical replay gate. The pinned repository view follows the precedent of Matarener’s PR CrocSwap#5434. Repair prepared with substantial OpenAI Codex assistance.
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2 participants