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docs(wiki): align ordinal Track 2 to the owner reconciliation — valid + frozen, trajectory closed
Owner reconciled the flagged contradiction (2026-06-21): "treat it as valid itself, but no further work on that trajectory is needed." So the landed ordinal artifact (incl. BH climb rungs 7-8) is VALID and KEPT — frozen, not deleted — while the retirement stands as to direction: no further climb, no new ordinal rung in echo-types; disposition is extraction to its own repo. - wiki/Architecture.adoc: Track 2 reframed from "Ordinal (partial) / first credible milestone" to "RETIRED (D-2026-06-21) ... valid + kept, frozen hand-off record"; matches wiki/Roadmap.adoc (already retired via e09eba5). Order-type fidelity to ψ₀(Ω_ω) stays an open EXTERNAL problem. - CLAUDE.md: the close-out OWNER-DECISION FLAG flipped to RECONCILED with the resolution recorded, so the next session does not reopen it. Docs-only; no .agda touched; All.agda / Smoke.agda unaffected. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_018CaSgNjNURC7ocsyjYh9We
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CLAUDE.md

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@@ -257,20 +257,23 @@ island) + the two `Ordinal/Buchholz/Fidelity.agda` postulates (d, `denotation`
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/ `ordinal-upper-bound`). See `proof-debt.md` (a)–(d). Echo Core is
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postulate-free and hole-free.
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** OWNER-DECISION FLAG — ordinal: retired-in-ledger but committing-on-main.**
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** OWNER-DECISION RECONCILED (2026-06-21) — ordinal artifact VALID + KEPT; trajectory CLOSED.**
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`main` (this arc's base, `9c56d40`) carries TWO ordinal climb rungs dated
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**2026-06-21**, landed the SAME DAY as the `D-2026-06-21` retirement:
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`f89a3aa` (BH rung 7 — `nextFix` is the LEAST pre-fixed point; reverse-Γ₀
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reduced) and `a096764` (BH rung 8 — Veblen engine monotone in its iterated
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function). This **contradicts** the retirement banner in this file (arc below)
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and in `roadmap.adoc` §Lane 3 ("no new ordinal rung is to be opened here").
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Meanwhile `wiki/Architecture.adoc` ("Track 2 — Ordinal (partial)") and
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`wiki/Roadmap.adoc` ("Ordinal track — partial (the active bottleneck)") still
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frame the climb as ACTIVE — i.e. they are consistent with the *code* but not
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the *decision*. **Do NOT propagate the retirement to the wiki, and do NOT
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delete the ordinal artifact, until the owner reconciles** which is
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authoritative: the retirement decision, or the continued climb. Both readings
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are live; the fix direction depends entirely on that call. (Also landed on
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At flag time `wiki/Architecture.adoc` ("Track 2 — Ordinal (partial)") and
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`wiki/Roadmap.adoc` ("the active bottleneck") still framed the climb as ACTIVE
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— consistent with the *code* but not the *decision*. **RECONCILED by the owner
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(2026-06-21): "treat it as valid itself, but no further work on that trajectory
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is needed."** So the landed artifact (incl. rungs 7–8) is VALID and KEPT —
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*frozen, not deleted*; the retirement stands as to **direction** — no further
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climb, no new ordinal rung in echo-types; disposition = extraction to its own
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ordinal-notation repo. The wiki is now ALIGNED (`wiki/Roadmap.adoc` retired via
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`e09eba5`; `wiki/Architecture.adoc` Track 2 reframed to "RETIRED … valid +
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frozen" this arc). Do NOT reopen this as a live contradiction. (Also landed on
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`main` same day, non-ordinal: `4883ae2` `EchoTransaction` closes #174;
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`bd43ad4` `EchoSelectiveProjection` closes #176; `9c56d40`
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`entropy-blind-parametric`.)

wiki/Architecture.adoc

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@@ -55,27 +55,43 @@ The Σ-algebra of echoes under function composition.
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Docs: `docs/echo-types/{composition,fibration-package,universal-property}.adoc`.
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== Track 2 — Ordinal (partial)
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== Track 2 — Ordinal (RETIRED from echo-types, owner decision D-2026-06-21)
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A Buchholz collapsing layer; the consumer-evidence that echo's
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non-injectivity bridges to ordinal-collapsing non-injectivity.
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* Target: *Bachmann–Howard* ψ₀(Ω_ω) as the first credible milestone; stretch
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ψ(Ω_Ω) ≈ TFBO.
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*Status (reconciled 2026-06-21): the landed artifact is valid and kept —
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no further work on this trajectory.* It compiles `--safe --without-K` with
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zero postulates and stays in the green closure; the climb is *not continued*
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and *no new ordinal rung is to be opened here*. The disposition is extraction
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to its own ordinal-notation repository. Echo Core never depended on this track:
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the `OmegaMarkers` ← `Buchholz.Syntax` ← `EchoOrdinal` bridge STAYS; everything
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else under `proofs/agda/Ordinal/` is the consumer-less artifact that MOVES.
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Order-type fidelity to ψ₀(Ω_ω) remains an *open external problem*
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(`D-2026-06-14`) — retirement neither closes nor over-claims it.
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The inventory below is the *frozen hand-off record* for the extracted repo,
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**not** an echo-types TODO list:
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* Former target: *Bachmann–Howard* ψ₀(Ω_ω) as the first credible milestone;
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stretch ψ(Ω_Ω) ≈ TFBO.
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* E1–E7 landed: OT syntax, ℕ-staged closure, CNF, pedagogical ψ, Buchholz
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scaffold, well-formedness, echo bridge (`ordinal-collapse-non-injective`).
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* Rank-monotonicity under the *WfCNF* restriction with a limit-shaped ω-power
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rank: `RankPow` / `RankPowDomination` / `HeadOmega` / `HeadOmegaInversion`.
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* Slice 3+4 Route A arc (PRs #165–#170): the `RankMonoUnion` umbrella over
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source-rule extensions, and well-foundedness of `_<ᵇᵘ_` via rank-embedding
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transport (#170).
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transport (#170); later the Veblen climb reached rungs 7–8 (the artifact's
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current front, kept as-is).
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*Open:* the unbudgeted `_<ᵇʳᶠ_` global WF (eliminate the ℕ budget without
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leaving `--safe --without-K`); the K-limited shared-binder cases (`<ᵇ-ψα`,
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`<ᵇ-+2`); push the surface-route WF back into `Order.agda`'s main `_<ᵇ_`. This
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track is *solo, not swarmable*.
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*Frozen (for the extracted repo, NOT echo-types work):* the unbudgeted
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`_<ᵇʳᶠ_` global WF (eliminate the ℕ budget without leaving `--safe
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--without-K`); the K-limited shared-binder cases (`<ᵇ-ψα`, `<ᵇ-+2`); pushing
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the surface-route WF back into `Order.agda`'s main `_<ᵇ_`.
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Docs: `docs/echo-types/buchholz-plan.adoc`, `buchholz-rank-obstruction.adoc`.
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Docs: `docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc`
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(D-2026-06-21 superseding banner), `docs/echo-types/buchholz-plan.adoc`,
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`buchholz-rank-obstruction.adoc`.
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== Track 3 — Establishment (Pillars A–D + F closed; E open)
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