← GLC Closure Framework / Engineering Verification Trail
This is a research line independent of the rest of this page: starting 2026-08-09, 7 AI roles divided the work to repeatedly run adversarial verification on an engineering candidate related to the "P/NP Dynamic Four-Layer Closure Framework" — AI-1 makes the coordinating ruling, AI-2 (red team) does read-only checks against frozen evidence, AI-3 reviews the formal interface (including Lean 4 formalization), AI-4 builds the candidate itself, AI-5 trusts none of the candidate's own built-in verifier and independently rewrites the logic checks from scratch, and AI-6/AI-7, two independent scholars, do blind-read assessments from traditional complexity theory. From v0.2 to v0.2.6, across 7 version tags, at least 12 distinct, uniquely-named blockers were found and fixed — this reads as genuine round-by-round deepening scrutiny, where fixing one hole exposes a new one at the next layer, not the same issue stuck in place, nor a left-hand-checks-right-hand rubber stamp. As of v0.2.6: AI-1 (coordination) and AI-5 (independent replay) still rule FAIL; AI-2's PASS is strictly scoped to consistency checks against existing frozen evidence, explicitly excluding independent re-verification or any P/NP inference. The two independent scholars' judgment cuts deeper still: even if this entire engineering-verification line turned fully green, it would not constitute any conclusion about P/NP.
The "PASS" column is each role's own strictly-scoped result, not the overall acceptance outcome — see each role's note below.
| Role | Responsibility | v0.2.6 Result | Scope Note |
|---|---|---|---|
| AI-1 Coordination |
Checks consistency of every party's disposition and manifest; rules on disagreements | FAIL | 2 blockers: CLOSURE-OPAQUE-LEAF-TERMINAL-01 (adopting AI-3's ruling) + ACCEPTANCE-PACKET-IMPORT-EDGE-COUNT-01 (adopting AI-5's ruling). The document states plainly: 'no Board success is published, no shared repo is established, the next version is not started.' |
| AI-2 Red team / consistency |
Read-only check of frozen evidence, signatures, and existing test data | PASS | Strictly scoped: only re-checks the 3 old judgments assigned by AI-1, plus new-field consistency. The document states plainly it 'does not represent promotion,' explicitly excluding isolated replay (AI-5's responsibility), independent algorithmic re-verification of the 1500 cases, or any P/NP inference. |
| AI-3 Formal / Lean |
Reviews completeness of the canonical judgment graph + Lean 4 formalization | FAIL | The OpaqueLeaf node (genuinely reachable) has no terminal-state mapping to PASS/FAIL/UNKNOWN, yet the executable verifier silently treats it as PASS and keeps running. The Lean side compiles and the kernel audit shows no sorry/admit, but it explicitly does not touch the four-layer framework's core claims — it is basic scaffolding only. |
| AI-4 Engineering |
Builds the candidate itself | Self-test all passed | 22/22 unit tests, 1500/1500 SAT-case replays with 0 mismatches — but these are all the candidate's own self-tests, not third-party verification. The candidate's documentation states twice that it 'does not claim any P=NP or P≠NP conclusion,' and its status field reads CANDIDATE_UNPROMOTED. |
| AI-5 Independent replay |
Trusts none of the candidate's own verifier; independently rewrites and checks the logic from scratch | FAIL | 216 hashes, 31 import edges, 112 evidence hashes, and all 1500 cases passed independent recomputation — except one document inside the candidate package states 29 import edges (the other four sources all say 31), which alone causes the overall FAIL. It has never given a clean PASS since v0.2.1. |
CLOSURE-OPAQUE-LEAF-TERMINAL-01 (AI-3) — in the candidate's canonical judgment graph, OpaqueLeaf is a target branch of SupportedTraversal.child_dispatch, but there is no definition of which terminal state — PASS/FAIL/UNKNOWN — it should map to. This is not a hypothetical concern: AI-3 found a piece of data in the frozen test set that genuinely walks into this branch, and the executable verifier silently treats it as PASS and keeps running — this is an interface gap between the "canonical graph" and "actual execution," not an admission bypass, a correctness counterexample, or a P/NP conclusion. This is, in fact, the next layer's gap, exposed for the first time only because the judgment graph, after the previous round's (v0.2.5) fix of CLOSURE-SUPPORTED-RELATION-RESULT-01, genuinely reached this next node for the first time.
ACCEPTANCE-PACKET-IMPORT-EDGE-COUNT-01 (AI-5) — inside the candidate package, CURRENT-v0.2.6-candidate.md states "29 local import edges," but the machine descriptor, the official self-check, VALIDATION-REPORT-v0.2.6-candidate.md in the same package, and AI-5's own independent AST-based recount all agree on 31. This is a plain documentation-count inconsistency, not a correctness error, but under the process rules it still constitutes a promotion blocker.
AI-6 (a traditional complexity-theory scholar) and AI-7 (a cross-paradigm bridging scholar) are entirely separate from the engineering-verification line above, each doing a blind review without seeing the other's draft.
"This is not a failed proof of P/NP; nor is it currently a proof of P/NP." — AI-6, first-round blind read. The second-round re-review upholds the original verdict: the research program may continue and is more mature than in the first round, but as a submission of a P/NP characterization theorem it would need "at least a major revision"; as material claiming to have proven P=NP, P≠NP, or established a new complexity class, it "does not hold."
"Engineering closure cannot be promoted to mathematical closure." — AI-7, cross-paradigm bridging report. A second-round item-by-item check of whether AI-6's judgment had been overturned by subsequent engineering and formalization progress concluded it had not: "each result can move up at most one layer … the sheer number of green engineering lights cannot leap directly to a P/NP conclusion."
Both specifically caution: no known complexity-theoretic barrier (relativization, etc.) has actually been engaged yet; although the Lean side compiles cleanly, lemmas such as zeroDebt may be vacuously satisfiable and thereby lose their meaning, so "successful compilation" on its own should not be over-read; GLC's "robust" semantics has so far only been tested on a single deterministic run, which is not the same as having verified general fault-tolerant / non-deterministic semantics.
v0.2 through v0.2.6 spans 7 version tags and at least 12 distinctly-named blocker IDs (PROV-DERIVE-01, REF-TYPE-01, CLOSURE-CLASS-01, CLOSURE-EDGE-SCOPE-01, ORACLE-DECL-FAMILY-01, CLOSURE-JUDGMENT-COMPLETENESS-01, ADVICE-DECL-LEDGER-01, plus v0.2.5 and v0.2.6's own new blockers), with no name repeated. v0.2.3 was briefly marked PASS before being corrected to FAIL by an ADDENDUM. Read as a whole, it looks like a continuous hardening process — fixing old gaps round by round while review depth also deepens round by round, exposing new gaps in turn — rather than the same defect recurring, or the verification side simply rubber-stamping whatever engineering hands it.
Extracted from each role's complete output directory, the files most directly relevant to the v0.2.6 status ruling — original bytes, not repackaged, each verified by SHA-256. The complete output (including historical versions v0.2 through v0.2.5, code, and test data) is outside the scope of this mirror.