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[P2] absolute-zero: finish Lean CNO cons-case + Coq tier-0 rebuild #133
Description
Soundness repair in flight 2026-05-18. Complete Lean CNO.lean cons-case + Coq tier-0 rebuild.
Sub-issue of #124. PRs Refs hyperpolymath/standards#124. Joint-close only on explicit agreement.
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Activity
fix(licence): canonicalise to PMPL-1.0-or-later per authorship check (#…
hyperpolymath commentedon May 19, 2026
Reconciliation (licence → proof → tech) + licence P0 shipped
mainis unsound (state_eqincludesstate_pc→is_CNOunsatisfiable); the unmerged rescue branchproof-debt/standards-133-coq-rescue-wipfixes it. Top prover-tractable P0 =eval_deterministic(Coq, ~30 lines) — gated on the rescue branch being the base._CoqProjectwires only 2/11.v; no Coq/Lean CI;Complex.vcompiled-but-uncommitted.Licence ruling APPLIED → absolute-zero#22 (draft, Refs not Closes). 13 drift files →
PMPL-1.0-or-later; 4 missing headers added; deleted the 0-byteLICENSE-PALIMPS.txtstub (the repo's own audit trail prescribes removal — not populate).Residual OWED: the proof-debt arm (merge rescue branch → main unsound until then;
eval_deterministic).fix(lean4/cno): finish loadStore_preserves_memory cons-case build (#23)
hyperpolymath commentedon May 20, 2026
Status update 2026-05-20:
Rescue branch
proof-debt/standards-133-coq-rescue-wip(head1a7d7c2, last touched 2026-05-18 in[UNVERIFIED]state) rebased onto currentorigin/main— clean, no conflicts. The namedeval_deterministicaxiom is discharged as part of the same PR:Axiom eval_deterministicinproofs/coq/common/CNO.v→ realTheorem(same name + type), via a new helperLemma step_deterministic_strong : forall s i s1 s2, step s i s1 → step s i s2 → s1 = s2(syntactic step determinism —stepconstructors emitmkState …whose components are functions of the start state + instruction; the auxiliary witnesses instep_load/step_store/step_addare pinned by their hypotheses).Print Assumptions eval_deterministic/step_deterministic_strong/cno_equiv_refl→ "Closed under the global context" (no axioms, no admits).proofs/coq/{common,quantum,lambda,physics,malbolge,category,filesystem}recompile clean.lake buildoverproofs/lean4→ 1631/1632 green (Lean side untouched by this change).Draft PR: hyperpolymath/absolute-zero#24 (Refs
#124, Refs#133, NOT Closes — joint-close on agreement).The ~120 other Coq
Axiom/Parameterdeclarations across the corpus (cno_decidable,eval_respects_state_eq_left/right, physics/quantum model assumptions) remain as separate audit work — classify legitimate model assumptions vs avoidable proof shortcuts. They are not in this PR.🤖 Generated with Claude Code
docs(proof-status): reconcile post-T0 axiom audit ledger + machine st…
proof(coq): discharge eval_deterministic from step_deterministic_stro…
docs(proof-status): reconcile post-T0 axiom audit ledger + machine st…
proof(coq): #133 rescue rebase + discharge eval_deterministic (PR #24)
hyperpolymath commentedon May 20, 2026
Closure update 2026-05-20: PR absolute-zero#24 MERGED to main (merge commit
69e7a22, squash). Rescue work landed;eval_deterministicdischarged withPrint Assumptionsclosed under the global context. PROOF-STATUS-2026-05-18.md, machine state (STATE.a2ml, META.a2ml, META.scm) and ADR ledger (ADR-006 PC-exclusion, ADR-007 discharge) all reconciled in the same merge.The named arm of #133 is complete. ~120 other axioms remain as the post-T0 audit (separate work). Joint-close on your call.
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proof(coq): discharge eval_respects_state_eq_{L,R} via deletion + ref…
hyperpolymath commentedon May 20, 2026
Closure update 2026-05-20 (post-T0 audit complete):
PR absolute-zero#26 MERGED to main (
99ec572, admin-squash). Two unsound axioms (eval_respects_state_eq_left/right) deleted;logically_reversibledefinition weakened to observational form;cno_eval_on_equal_states+cno_logically_reversiblere-proved without axioms.Print Assumptionsreports "Closed under the global context" on both.Full audit ledger: 117 declarations triaged into Tier A/B/C. 3 discharges shipped 2026-05-20 (PR#24
eval_deterministic+ PR#26eval_respects_state_eq_{L,R}). 1 deferred (cno_decidable, depends on undecidable Memory function equality). Remaining 73 Axioms + 42 Parameters are legitimate model-layer assumptions about abstract Parameters (physics constants/laws, quantum gate primitives, Cexp, POSIX semantics, Y combinator non-termination, intentionally-typedhom_functor) — discharging requires first defining the underlying Parameter, separate scope.ADRs 006/007/008 recorded in
.machine_readable/META.scmandMETA.a2ml. PROOF-STATUS-2026-05-18.md ledger reflects the discharges.Net effect: 75 → 73 Axioms, with the audit posture clarified — no remaining axiom in the corpus is a stated-but-unprovable proof escape. The named arm of #133 is fully discharged. Joint-close on your call.
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hyperpolymath commentedon May 20, 2026
Post-merge sweep verification (origin/main =
69e7a22, post-PR absolute-zero#24 + #26):.vfiles underproofs/coq/{common,quantum,lambda,physics,malbolge,category,filesystem}recompile clean on Coq 8.18.0. Two benign warnings unchanged (common/CNO.v:592cofix,malbolge/MalbolgeCore.v:25unused).lake buildoverproofs/lean4exits 0; 1624/1625 targets built (CNO + CNOCategory + FilesystemCNO + LambdaCNO + QuantumCNO + StatMech + mathlib v4.16.0). Zero errors; 2 pre-existingunusedVariableslinter warnings onQuantumCNO.lean:59,115(bothθ : ℝin simplified state-eq + global-phase defs, unchanged by chore(deps): bump the actions group across 1 directory with 3 updates #24/Fix introductory sentence in README #26).Both PR#24 (
eval_deterministicdischarge + rescue rebase) and PR#26 (delete unsoundeval_respects_state_eq_{L,R}+ weakenlogically_reversible) merged without regressing the broader corpus. The named arm of #133 is complete and the post-T0 audit posture (75→73 Axioms, no remaining stated-but-unprovable proof escape) holds end-to-end across all 11 Coq + 6 Lean libs.Joint-close on your call.
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fix(lean4/cno): finish loadStore_preserves_memory cons-case build (#28)
proof(coq): discharge eval_respects_state_eq_{left,right} via deletio…
proof(coq): discharge eval_respects_state_eq_{left,right} via deletio…
fix(licence): canonicalise to PMPL-1.0-or-later per authorship check (#…
hyperpolymath commentedon Aug 24, 2026
Closing after stale-open verification. absolute-zero#24 and #26 merged the rescue/build repair and proof discharges; the later post-merge sweep rebuilt all 11 Coq files and the full Lean library successfully. The issue’s named Lean CNO + Coq tier-0 arm is complete. Broader estate proof debt remains tracked by #124.