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docs: classify EchoAbstractionBarrier + reflect Lane 5 triplet + Lane 3 head-Ω slice in README/W2-README
Cleanup pass before PR #118 merge. * docs/echo-types/echo-kernel-note.adoc — adds EchoAbstractionBarrier (Lane 1 / Lane 2 Track B artefact, landed 2026-05-26 via PR #119) to the Tier-2 derived-modules list with a note pointing at its load and import set. Was previously missing; the kernel-guard.sh CI gate (`scripts/kernel-guard.sh` step B) was failing with "unclassified Echo* module(s): EchoAbstractionBarrier". Now passes. * README.md — adds two one-line status updates: * Lane 5 tutorial triplet LANDED 2026-05-27 under tutorial/ (region-exit audit, epistemic erasure, provenance / debugging), with build command. * Buchholz rank-monotonicity matrix at 11/13 closed via the WfCNF- restricted `_<ᵇ⁻_` umbrella; the last open `<ᵇ-+1` joint-bplus case opens via Ordinal.Buchholz.HeadOmega's first slice landed 2026-05-27. * tutorial/epistemic_erasure/README.adoc — fixes the stale "W3 remains at scaffold/design-doc level" claim; W3 also landed 2026-05-27. Local verification: kernel-guard.sh, tools/check-guardrails.sh, and the full agda sequence (All / Smoke / characteristic/All / examples/ All / tutorial/All) all exit 0 under --safe --without-K, zero postulates, no funext. This is the canonical CI sequence per .github/workflows/agda.yml. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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README.md

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@@ -97,6 +97,7 @@ On `main`, the following are true:
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- distinct-witness and retained-constraint exemplars are present (`echo-true≢echo-false`, `stateA≢stateB`, `visible-constraint`)
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- degrade-law family lands across decoration layers (graded, linear/affine, choreographic, access, cost, search); see `docs/theorem-index.md` for the aggregate
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- Pillars A–D of the establishment plan are LANDED (with R-2026-05-18 narrowings; see `docs/retractions.adoc`); Pillar E (paper) is in progress
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- Lane 5 tutorial triplet LANDED 2026-05-27 under `tutorial/`: region-exit audit, epistemic erasure, and provenance / debugging — each with honest-bound + matched-negative disclosure discipline; build via `agda --library-file=/tmp/agda-libs -i . -i proofs/agda tutorial/All.agda`
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Per-lane status, close-out criteria, and the identity-claim verdict
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per tag are in `roadmap.adoc`.
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- the new budgeted layer on `ℕ × BT` isolates the missing global step: the recursive surface route is now well-founded once explicit budget is carried, and the remaining task is to discharge or eliminate that budget in the unbudgeted theorem
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- this still does not internalize the historically blocked shared-binder shapes as actual constructors of `_ <ᵇ _`; the full intended Buchholz order remains open at that step
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- remaining live mathematical work is therefore not the current-core WF route, but the mediated internalization of the shared-binder cases back into the real order package
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- as of 2026-05-27: the Buchholz rank-monotonicity matrix closes 11/13 constructor cases via the WfCNF-restricted `_<ᵇ⁻_` umbrella (9 via `RankPow` + `<ᵇ⁺-ψα` via `RankAdm` 2026-05-26 + `<ᵇ-ψΩ≤` via `RankLex` 2026-05-27); the last open case is `<ᵇ-+1` joint-bplus, with the `Ordinal.Buchholz.HeadOmega` first slice (leading-Ω-index head function + 4 definitional sanity lemmas) landed 2026-05-27 as the structural opening of option (A) per the obstruction doc
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## External Bridge Targets (local workspace)
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docs/echo-types/echo-kernel-note.adoc

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`EchoExampleAbsInt`, `EchoExampleParser`, `EchoExampleProvenance`,
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`EchoExampleSignAnalysis`, `EchoExampleTruncation`,
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`EchoSearchExample`, `EchoThermodynamicsArbitrary`,
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`EchoThermoCollapseImpossible`
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`EchoThermoCollapseImpossible`, `EchoAbstractionBarrier`
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| Multi-hop. `EchoThermodynamics` reaches the kernel via
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`EchoFiberCount` (no direct `Echo` import);
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`EchoThermodynamicsFinite` is its Bishop-finite transport layer.
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`EchoSearch` / `EchoCost` / `EchoAccess` are Axis 8 witness-search
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and cost-model extensions. `EchoExample*` are derived domain
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and cost-model extensions. `EchoAbstractionBarrier` is the
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Lane 1 / Lane 2 consumer-side free-theorem artefact (Track B —
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`affine-consumer-cannot-distinguish` plus raw-Σ counter-program
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`sigma-distinguishes`); imports `Echo` + `EchoCharacteristic` +
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`EchoLinear`, landed 2026-05-26 via PR #119. `EchoExample*` are
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derived domain
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applications.
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| *Earn-back gate modules* +

tutorial/epistemic_erasure/README.adoc

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== Status
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LANDED 2026-05-27 as the second Lane 5 walkthrough. Walkthrough 3
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(provenance / debugging) remains at scaffold/design-doc level per
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`tutorial/README.adoc`.
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(provenance / debugging) also LANDED 2026-05-27 — see
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`tutorial/provenance_debugging/README.adoc`. The originally-
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scaffolded Lane 5 triplet is complete in Agda.

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