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Frame-aware native construction lemmas and exact p16 certificates (no new κ) - #4534
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…gebra: all 1,024 entries, chronology-sensitive (no new κ) Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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…ort-injectivity reduction (answers #4534 Q2 empirically; no new κ) Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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This adds four sufficient construction tools for changing the native circuit: a p16 identity with noncommuting stages, unequal-chart monomial adapters, complete owned-response retiming, and deferred-response coefficient propagation. The exact application checks all 1,024 p16 matrix entries and 5,056 response coefficients, with orientation, chronology and injection corruption controls.
There is no new κ. The unfunded owned-center candidate from discovery is excluded. The package is self-contained, preserves source hashes and attribution, and distinguishes copied native receipts from fresh certificate checks. No Lean, independent human acceptance, Linux-hosted run or complete multiplication theorem is claimed.
Validation: registered Python 3.12 replay, isolated optimized standalone execution, committed-byte preflight, and Git-free exported replay with an input-corruption rejection check. Reproduce with:
Credit: Cinna Davis's #4470 and #4440/#4441/#4447 lineage; zxv's native/compiler work; Jacob Alan Sussman's #4268 mixed-target recursion; and the retained scalar, Clifford, geometry, physical and outer-ledger sources. #4516 supplies an independent commutative-controller replay. Prepared for Dugongue with substantial OpenAI assistance, using one primary worker and three collaborating agents.