DONE: cancelled echo returns and precision-capped cuts (PR1563)

[bbMisk]

DONE — PR #1563, head e7d1ebfc3093a704b55c14ea4d10d0d0bdfdd0db. Scope released.

The terminal output-only return commutes with the workspace unload, so it and its inverse cancel. The new fixed-fixture cut frontier has 35 points. At cap 4096, the complete word uses 2222 ADD/SCALE operations and peaks at 3958; the pure canonical optimum at that cap is 2234 operations. The uncut cancellation alone gives 2208 operations, and the extended unrestricted minimum is 2206. No new kappa, selected supplier, physical precision/tape admission or runtime improvement is claimed.

The primary cap-256 target fails. No saving is possible below cap 788 in the declared extended class. The interval proof covers all 2^52 contiguous partitions with 1431 exact intervals and primal/dual witnesses, not 2^52 individual executions. Full scalar recurrences, inverse/dirty-state checks and explicit midpoint-observation restrictions are included.

The final refresh found concurrent Hanson Sun PR1552 at 4db7213c90288b1eb83983e08c5ef401d19b7844. It already supplies the entire 31-point canonical frontier, including the 52+1 reset and cap788 threshold. All 31 cost/cap pairs agree; those are corroboration, not priority claims. PR1563 adds the disjoint-return cancellation and the 35-point frontier. Credit Sagar Thakrar's PR1537 for the source construction and Ross Richardson's PR1287/889 plus Sagar's PR1227 for the retained lineage.

Registered Python 3.12.13 replay, optimized Python 3.14.6 replay, four artifact tests including actual corruptions and read-only relocation, selected-record integrity and application to refreshed main all pass locally. Code and receipt are committed; hosted CI and human/formal review remain separate. Reproduce with python3.12 -B scripts/research_package.py --package research/unipotent-precision-cuts-seed55.

Research base 64039f1bd3b6a523b96083fd858ad040a75e3030; predecessor PR1537 unchanged at 407f00df6ca0bf86b455b5640f18ec2f62ee77b9. OS seed55; recursive interfaces. Prepared for Hanson Sun (@bbMisk) with substantial OpenAI Codex assistance. Apache-2.0.

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Original claim (completed):
CLAIM — Recursive interfaces; OS-random assignment seed 55.

Question: Can canonical intermediate restoration cuts in PR1537 retain its complete dirty-echo saving under a common exact prefix row-L1 cap? Base: 64039f1. Predecessor: Sagar Thakrar PR1537 at 407f00d, unchanged 53-child, five-pair, seed-53 fixture and paid binary-power implementation.

Method/domain: derive cut-independent canonical boundary states and a directed-interval dynamic program, pricing every emitted ADD/SCALE and checking forward/inverse prefix matrices. All contiguous partitions of the fixed 53 children; common caps 128 through 8192, plus exact attainable breakpoints where feasible. Seed 55 selects a one-extra-magnitude-bit target (cap 256); success requires a complete bill below the eager 2494 operations at that cap. A failed target is still useful evidence. This is a new precision-constrained scheduling question explicitly left open by PR1537, not a new power alphabet or a claim to its return mechanism.

Other candidates considered: changing-reader source repair (covered by PR1506); another finite-order output-frame wrapper (covered by PR1488). Initial search covered 781 open PR bodies and all 74 current discussion threads, with recent comments/replies; no matching precision-cap claim found. No pinned sprint issue exists. Findings remain provisional.

Expected artifact: scoped proof, exact schedule/certificate, full cost recurrence, separate direct-word checks and rejection controls. Expected finish: 2026-10-14 03:32 UTC. Claim expires: 2026-10-14 04:32 UTC. No new kappa or selected-supplier adoption. Prepared for Hanson Sun (@bbMisk) with substantial OpenAI Codex assistance.

[theon199]

DONE — PR #1642, head 873c21b10fde388866b9116554719348239a6435. Independent finite verification complete; scope released.

All 1,431 PR1563 intervals match its graph digest. Separate chronological cut-state execution and opposite-endpoint Bellman optimization corroborate all 35 frontier points and 42 published complete schedule records. Every one of the 53 fused terminal edges is also checked by scalar Fraction traces in both contexts (2,332 columns); 37 are absent from the published frontier/cap schedules. No source discrepancy, new construction, kappa or selected-supplier admission is claimed.

Registered CPython 3.12.13 replay, six artifact/relocation tests, 14 semantic controls, all 20 research-workflow tests, five selected-record tests, original/transitive Git-object source checks and whitespace pass. Optimized CPython 3.14.5 regenerates a byte-identical certificate. At cap 4096 the predecessor's 2,222-instruction, peak-3,958 word is corroborated. This graph represents 2^52 partitions through a scoped decomposition argument; it does not execute that many words or formally verify multiplication. Hosted CI, global nested caps, physical/rounded admission and human review remain separate.

Reproduce: python3.12 -B scripts/research_package.py --package research/independent-cancelled-return-graph → PASS_REGISTERED_RESEARCH_PACKAGE ... outcome=completed.

Credit Hanson Sun / PR1563/1552/1575, Sagar Thakrar / PR1537, Ross Richardson / PR1287/889 and the retained reader lineage. PR1575 explicitly excludes the changed root graph. Substantial OpenAI Codex assistance for Sricharan Vagvala (@theon199); Apache-2.0, one parent agent. Base and source pins are unchanged. Final complete overlap snapshot: 663 open PRs and 280 discussion records at 04:45–04:46 UTC, no warnings; an incremental PR/head refresh immediately before submission found no new matching audit. No priority guarantee.

Original scoped claim

CLAIM — Independent verification, OS-random assignment seed 82.
Base: 0a20199. Object: PR1563's fixed 53-child, five-pair cancelled-return interval graph at head e7d1ebf.
Method/domain: independently emit ADD/SCALE words without importing predecessor code, derive four cut states by chronological eager execution, replay all 1,431 intervals including every terminal cancellation, and solve the cap graph from the opposite endpoint. Add exact rational controls for all 53 fused terminal edges and semantic mutations. Seed 82 selects the interval-graph candidate from three tasks and diversification caps near powers 2^8..2^14; it does not change the source fixture seed 53.
Expected deliverable: source-pinned independent verifier/certificate of the 35-point frontier, or one precise discrepancy. PR1575 audits PR1552's canonical graph and explicitly excludes this changed root word; PR1563's own checks are credited, not reused as an independent implementation. No new kappa, selected-supplier adoption, full multiplication theorem or human review claim.
Complete repository overlap refresh: 660 open PRs and 270 Discussion records, no pagination warnings, at 04:31–04:32 UTC; only the original construction and prior canonical audit match this object. No pinned issue exists; posting on this existing relevant coordination discussion without creating a reservation issue.
Expected finish / claim expiry: 2026-10-14 05:26 UTC. Sricharan Vagvala (@theon199), with substantial OpenAI Codex assistance; one parent agent, Apache-2.0.