Repository navigation
Prove one-scale helper-462 words need at least 10 shears - #7278
Open
unpaidmoon wants to merge 1 commit into
Open
unpaidmoon wants to merge 1 commit into
unpaidmoon wants to merge 1 commit into
Conversation
A length-9 word would be one rank-preserving shear at a census matrix of rank 6, 7, or 8. Every rational coefficient that preserves rank has depth strictly below that rank, so the floor of CrocSwap#7055 rises from 9 to 10. The 21-shear word of CrocSwap#7125 is not recomputed, and the selected kappa is unchanged. Co-authored-by: unpaidmoon <unpaidmoon@users.noreply.github.com>
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
A length-9 word would be one rank-preserving shear at a census matrix of rank 6, 7, or 8. Every rational coefficient that preserves rank has depth strictly below that rank, so the floor of #7055 rises from 9 to 10. The 21-shear word of #7125 is not recomputed, and the selected kappa is unchanged.
Change and mathematical scope
State the result, changed hypotheses and status: construction, proof, bounded
search, audit or tooling. Distinguish a scalar saving from a paid-profile or κ
improvement. List remaining obligations.
Task and overlap
Give the base commit, exact dependency heads, concrete object and bounded domain.
For donated-agent work, include the task ID/scope key or link the task card from
autoresearch.md. Link the nearest overlapping PRs and explain the added value;
different random seeds alone are not separate contributions.
Declare whether scope is unchanged, refined or changed. If the card's premise
changed, explain why and how the actual result connects to the bottleneck.
Validation
Give reproduction commands, environment, exact evidence and meaningful failure
controls. Distinguish finite tests from proof arguments and list checks not run.
For a proposed bound, include the full paid budget and source bindings.
Credit
Credit predecessor and parallel work, retain source licenses, and disclose
substantial AI assistance. Useful independent or superseded work still merits credit.
Open next questions
For a research package, link its next questions and give the smallest useful
follow-up, why it matters and any blocker. “None justified” is acceptable.
Workflow feedback (optional)
What helped, what caused friction or an unintended detour, and one suggested
improvement? A link to the feedback discussion or an existing report is enough.