Navigation repair: route R439 H2/K work through the retained semantic-D evidence (no new kappa)

[commdata2338]

Change and mathematical scope

The bottleneck brief still sends contributors toward an R439 H2/K replacement lemma. Retained work already supplies it: PR #1194 proves the semantic D contract, PR #1311 checks its application to PR #1122's changed-A word, and PR #1806 supplies that exact word's complete finite nine-stage hosted invoice. This change links those results and names the remaining supplier-admission boundary.

Status: a navigation repair with a source-bound consistency checker (consolidation track). It changes no mathematical claim, frozen package, selected supplier or paid profile. The original syntactic H2/K flags stay false, and the replacement evidence does not make the word selected.

The change:

• research/r439-semantic-d-navigation/ (six files) maps the five retained PRs and checks their exact heads and credit, the word and receipt bindings, literal versus semantic interface flags, recorded profiles, charged precision and the selected PR589 binding. It imports no predecessor mathematical engine: it checks the consistency of retained evidence, not a new native or hosted execution.
• docs/research/bottleneck-brief.md: the H2/K example now routes the reader through the evidence map. For the exact 10,652-ADD word, the remaining step is supplier-admission review under the inherited physical and all-size premises; for a different helper operation, first identify which hypothesis or boundary the existing contract does not cover.
• docs/research/research-glossary.md: the "H2/K gap" entry now distinguishes the original syntactic failure from the semantic replacement and its finite hosted follow-up.

Remaining obligations.

• Not run: a fresh native replay, hosted emission or audit, full invoice production, an independent moment enclosure or the selected cold replay. Their retained evidence is linked and bound.
• Still inherited: common-frame and label interpretation, all-size compilation, physical hosting, precision and tape, recovery and the analytic premises.

Task and overlap

• Task ID / scope key: scope-navigation / fff26335d457e528d9c4, refined to R439-semantic-D/1062-1122-1194-1311-1806/local-vs-hosted-vs-selected. Chooser nonce d2435983b76fd86391c83bd4a80e7e79, track consolidation, priority revision 3.

• Base and exact heads: base c676548106012571fefa1dce0ec16f1bcfe11dce; contribution d9d644185838aa0b126078e2735f3d582b4b1f9d. All five predecessors are retained on the base, and no pending implementation is adopted:

  PR	Retained head	Credit and role
  Finite bit construction: phase-B block programs on the R439 helper-star D, 11,783 -> 11,500 ADDs (no new kappa) #1062	cd016e5dcd5ba28dafa3f3b4eeef003a38e6a11b	Sagar Thakrar (@thakrarsagar): the B/star word
  Finite bit construction: compose R439 A/B/star D to 10,652 ADDs #1122	a2551e70fce0cc34348f50f1a94e7cc4c80bbcbf	Gareth Davidson (@bitplane): A/B/star composition and native evidence
  Prove a semantic zero-frame D contract for a fixed R439 word #1194	2e39c98238f543d988f9efc1b076590a4b780dca	woklerx: the semantic D contract
  Research: independently check semantic-D bridge for composed R439 word #1311	a2875c1834b9c9ef42a84eda4890d5462cc98fa5	Arham Tahir (@Arham-Tahir64): the changed-A bridge
  Research: complete PR1122 nine-stage hosted invoice (no new kappa) #1806	48153115a150af98a9c94adb34cab180dcd226e5	Matthieu Pascal (@mtpsl): the finite hosted invoice

  Selected context: PR Conditional kappa 0.001672660197076918: rare-pattern T16 exchanges #1094 at 0fc329d0bec93ca7cd288eaea1295172e8789810, retaining bit PR Bit c = 0.001733427039589844: two A-section transports on #555's punctured R439 word (+0.0216%, κ unchanged) #589 at a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46. SOURCES.json pins fourteen live inputs and the catalogue provenance by base, Git blob and SHA-256.

• Concrete question: which local, native and finite hosting obligations of the fixed word have retained evidence, and which adoption obligations remain?

• Scope status: refined to one five-PR chain and one onboarding ambiguity, following the card's bounded-family index method. No global survey and no priority revision.

• Claim audited: the brief's implied next task of deriving a replacement lemma for this fixed word.

• Optimistic budget: no circuit or moment change; the local rank mass stays 5,129 and the selected bit saving is unchanged. The required improvement is an evidence-backed corrected pointer with explicit remaining obligations.

• Nearest work: PR Prove a semantic zero-frame D contract for a fixed R439 word #1194, Research: independently check semantic-D bridge for composed R439 word #1311 and Research: complete PR1122 nine-stage hosted invoice (no new kappa) #1806 supply the mathematics and the finite invoice and are credited, not repeated. The existing k8-catalogue, transport-domain, E8-decoder and R714 maps cover other interfaces. No open PR touches either document.

• Claim and final check: the claim is in discussion #1796. A final overlap check of the open PRs and Discussions (complete pagination) and of the changed-file index found no competing repair of these entry points.

Validation

python3 -B scripts/research_baseline.py
python3 -I -O -B research/r439-semantic-d-contract-seed10/verify.py
python3 -I -B research/r439-abc-semantic-bridge/verify.py
python3 -I -B scripts/research_package.py --package research/r439-semantic-d-navigation --check-only
python3 -I -B scripts/research_package.py --package research/r439-semantic-d-navigation
git diff --check

CPython 3.12.3, standard library. The two existing semantic verifiers pass on all 661 columns. The checker's eight controls reject:

• a wrong word or receipt identity;
• confusing the semantic and syntactic H2 checks;
• an incomplete virtual bridge;
• changed local or hosted profiles;
• a lowered precision charge;
• a wrong selection status.

An optimized read-only minimal export passes from another working directory, and changed pinned inputs, a changed output receipt, a wrong retained head and changed semantic compensation all reject. Thirty local Markdown links resolve. The registered replay was run again on the final package bytes before submission, under an 8 GiB memory cap, and passed.

PASS_R439_SEMANTIC_D_NAVIGATION chain=5 controls=8 selected_bit=589 no_new_kappa
PASS_REGISTERED_RESEARCH_PACKAGE research/r439-semantic-d-navigation outcome=completed

Credit

• Sagar Thakrar (@thakrarsagar, PR Finite bit construction: phase-B block programs on the R439 helper-star D, 11,783 -> 11,500 ADDs (no new kappa) #1062), Gareth Davidson (@bitplane, PR Finite bit construction: compose R439 A/B/star D to 10,652 ADDs #1122), woklerx (PR Prove a semantic zero-frame D contract for a fixed R439 word #1194), Arham Tahir (@Arham-Tahir64, PR Research: independently check semantic-D bridge for composed R439 word #1311) and Matthieu Pascal (@mtpsl, PR Research: complete PR1122 nine-stage hosted invoice (no new kappa) #1806).
• Also Sricharan Vagvala (@theon199, PR Finite bit construction: restored helper stars save 197 R439 ADDs (no new kappa) #967), Aaron Wang (@navinor, PR Finite bit construction: multi-write shear programs for all ten R439 phase-B blocks (24,305 -> 24,053 ADDs, no new kappa) #1015), Ross Richardson (PR Finite bit construction: R439 frame520 uses 29 ADDs, four fewer complete ADDs than PR844 (no new kappa) #923), DreamingOfClouds (PR Bit c = 0.001733427039589844: two A-section transports on #555's punctured R439 word (+0.0216%, κ unchanged) #589 and Bit word R480 at nine stages: c = 0.001587447106092548137108 (+1.41% over #493) #510), eumemic (PR Bit c = 0.001733052823: #545's punctured unit on the R420 skeleton (111 live ports, +4.79% over #543) #555 and Conditional κ = 0.001587467473762886: an E8 bit word with 420 helpers, c = 0.001653826988 (+4.18% over #510) #543), Zhihao Chen (PR κ = 1.048005508028206e-3: mutable-basis Hamming packets (≈2^-9.89814; conditional; complex +4.97%) #425), and the retained exporter, native, hosting and moment lineage.

Existing licenses and notices are unchanged; new material is Apache-2.0.

AI assistance: submitted by @commdata2338 with substantial AI assistance. OpenAI Codex (GPT-6 Astra) did the investigation, the checker and the writing; it was packaged and submitted with Claude Code. No independent human review is claimed.

Open next questions

From the package README:

1. For an authorized supplier-admission review, does the exact PR Finite bit construction: compose R439 A/B/star D to 10,652 ADDs #1122 word satisfy the maintained semantic-interface policy and all inherited physical and all-size obligations? Start with PR Prove a semantic zero-frame D contract for a fixed R439 word #1194's chronological proof, PR Research: independently check semantic-D bridge for composed R439 word #1311's changed-A bridge and PR Research: complete PR1122 nine-stage hosted invoice (no new kappa) #1806's complete invoice, then enumerate the remaining admission requirements. The blocker is accepting and fulfilling those requirements, not another derivation of the same scalar lemma or the finite nine-stage invoice. The unchanged paid profile supplies no exponent improvement.

Workflow feedback (optional)

• What helped: the chooser offered a fitting consolidation task, and the retained disposition records made exact credit and review scope easy to verify.
• Friction: the bit-helper-contract card's first experiment still points to deriving a replacement H2/K implication, which PR Prove a semantic zero-frame D contract for a fixed R439 word #1194, Research: independently check semantic-D bridge for composed R439 word #1311 and Research: complete PR1122 nine-stage hosted invoice (no new kappa) #1806 already supply for the fixed word; readers can mistake the historical gap for an open obligation.
• Suggestion: at the next priority review, add those successor pointers to the bit-helper-contract card, and ask a newly assigned agent to name the changed word or the missing continuation or physical implication before attempting another lemma.