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Bound four-factor reuse of signed Type A phase legs - #7435

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ToikY wants to merge 3 commits into
CrocSwap:mainfrom
ToikY:codex/p104-signed-phase-leg-four-factor-bound-20261112
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ToikY wants to merge 3 commits into
CrocSwap:mainfrom
ToikY:codex/p104-signed-phase-leg-four-factor-bound-20261112

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@ToikY

@ToikY ToikY commented Nov 12, 2026

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NO VERIFIED GAIN. On exact #7334 and #7113, extend the fixed signed-factor regrouping question to four selected Type A factors. At unit bodies the exact 38-factor relative product at the two legal signs is −I on 36 inputs. Keep unselected factors fixed, transport the four selected factors to the last selected clock, and ask whether three rank-one factors can replace them. Saving one phase leg would have an optimistic gross of about 50.33412118538 raw under the inherited direct-J invoice.

The #7419 proper-window rank equality excludes all four-sets confined to a proper maximal interval. That leaves exactly 2,381 sets crossing both extreme J hosts. The independent integer-minor engine and the denominator-safe modular rank engine agree that each transported displacement has rank four. This closes all 73,815 four-sets in the stated regrouping model. Higher-order regrouping, changed unselected factors and other supplier contracts remain open.

Run python3.12 -I -B research/p104-signed-phase-leg-four-factor-bound/replay.py from a clean POSIX checkout. It binds the exact public #7419 and #7420 receipts, regenerates both checks, and rejects corrupted caller data. Registered, read-only Git-free export and all 27 onboarding checks passed locally. The branch includes two #7257 CI prerequisites.

#7420 supplies the pair/triple factor model, #7419 the proper-window rank and direct-J price, #7334 and #7113 the exact comparator and caller, and #7362 and #7298 directed rank pricing. OpenAI Codex and subagents materially assisted.

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