Skip to content

Normalize right unitor hammock cells - #133

Merged
miuchan merged 1 commit into
mainfrom
codex/hammock-right-unitor-normalization
Aug 22, 2026
Merged

Normalize right unitor hammock cells#133
miuchan merged 1 commit into
mainfrom
codex/hammock-right-unitor-normalization

Conversation

@miuchan

@miuchan miuchan commented Aug 22, 2026

Copy link
Copy Markdown
Owner

Summary

  • extend generated hammock paths with common-prefix lifting and recursive terminal-empty-row deletion/insertion paths
  • prove exact quotient semantics for both right-unit paths, their inverse law, and normalized raw right unitor/inverse formulas
  • reduce StructuralGeneratorNormalizable from four fields to the two remaining associator directions and expose the completed cases in the cost-exact normalization core
  • update the axiom audit, blueprint, model matrix, conjecture boundary, and four-language research status

Verification

  • lake build Ript.ForMathlib.CategoryTheory.Bicategory.MarkedZigzagAlignedHammock
  • lake build Ript.Higher.CostExactZigzagMappingSpace
  • ./scripts/quality-gate.sh (3664 build targets, lint, executable examples, and axiom allowlist all passed)

Remaining boundary

This does not prove unconditional normalization of every raw cell. The associator and inverse associator generator cases remain open, followed by semantic fullness, critical-pair coherence, reduced-hammock invariance, standard weak-equivalence packaging, and the final Dwyer--Kan/Rezk comparison.

@miuchan
miuchan marked this pull request as ready for review August 22, 2026 10:46
@miuchan
miuchan merged commit ad0ec1d into main Aug 22, 2026
1 check passed
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

None yet

Projects

None yet

Development

Successfully merging this pull request may close these issues.

1 participant