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docs(explorations): scaffold the decoration bridge as R5 (exploratory)#129

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docs(explorations): scaffold the decoration bridge as R5 (exploratory)#129
hyperpolymath merged 1 commit into
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Summary

Bounded exploratory scaffold for a "decoration bridge" — a place to ask
whether the one Choreo × Graded axis pair that EchoIntegration
integrates resembles the shape adjacent-domain constructions exhibit
when they compose two decorations on a shared state evolution (CRDT
merges, gossip partial views, local-first causal histories). Strictly
scoped to that one axis pair; candidate analogies carry falsifiers,
never evidence the recipe generalises. Lands as R5 under the deferred-
research track with explicit termination criteria, not as a new Lane.

What's in this PR

4 new files (the originally-scoped scaffold):

  • proofs/agda/EchoDecorationBridge.agdaDecorationFit record +
    decoration-claim one-line wrapper of
    EchoIntegration.knowledge-and-controlled-degradation. Prose
    header documents the imports allowlist, the signature-change
    policy (retire, never patch), the reverse-import prohibition,
    retraction-watch, and the forbidden-rebrandings discipline. Not
    in proofs/agda/All.agda.
  • docs/echo-types/explorations/decoration-bridge/README.adoc
    status banner, scope discipline, what-this-is-NOT, Track A/B/C
    clearance argument, three candidate analogies with falsifiers,
    open questions QB-1…QB-4, item-by-item forbidden-rebrandings
    check against both registers in
    .machine_readable/6a2/STATE.a2ml
    , R-2026-05-18
    retraction-watch with three drift conditions, six-clause
    termination criteria including automatic closure on register
    addition and a cleanup invariant.
  • docs/echo-types/explorations/decoration-bridge/01-decoration-instances.adoc
    — per-candidate pseudo-Agda sketches sharing the DecorationFit
    shape.
  • docs/echo-types/explorations/decoration-bridge/02-non-commuting-residue.adoc
    — conceptual core: under --safe --without-K, the residue can only
    live in the witness x, not in y and not in the equality leg.

2 modified files (both with explicit justification):

  • roadmap.adoc (+60 lines) — R5 entry with a schema-divergence
    note flagging the additional *Termination* bullet as
    intentional (R1–R4 do not carry it); one-liner Lane 4
    cross-reference for navigability. Pillar A–E entries and Lane
    1–4 status lines untouched.
  • docs/echo-types/echo-kernel-note.adoc (+11 lines) —
    CI-mandatory single-row addition under a new "Exploratory
    (not in All.agda)" classification, satisfying
    scripts/kernel-guard.sh Check B's requirement that every
    proofs/agda/Echo*.agda be named in the note. Mirrors the
    existing "Sibling (not kernel-derived)" precedent for
    non-derived rows; does not reshape the taxonomy.

What's explicitly NOT in this PR

  • No changes to EchoIntegration.agda, EchoChoreo.agda,
    EchoGraded.agda, EchoCNOBridge.agda, EchoJanusBridge.agda,
    DyadicEchoBridge.agda, or All.agda (verified by empty
    git diff against each).
  • No new external dependencies (echo-types.agda-lib and
    flake.nix unchanged).
  • No postulates / believe_me / escape pragmas in the new module
    (verified by grep returning 0).
  • No edits to either bridge ledger (docs/bridges/cross-repo-bridge-status.md,
    docs/bridge-status.md) — the conceptual bridge has no
    adjacent-side column to fill; reshaping the ledgers to fit was
    rejected per the original scaffolding directive.
  • No new identity claim, no Pillar move, no Gate edit, no
    reopening of EI-2 (forbidden-rebrandings preflight done in
    README §"Forbidden-rebrandings check").

Test plan

  • scripts/kernel-guard.sh PASS locally — funext-free
    certificate (Check A) and classification-drift lint (Check B)
    both clean.
  • git diff against EchoIntegration / EchoChoreo /
    EchoGraded / existing EchoXBridge / All.agda returns
    empty.
  • No postulates introduced (verified by grep against the
    new module).
  • echo-types.agda-lib and flake.nix unchanged (no new
    external deps).
  • CI agda typecheck (deferred — no agda binary in the
    container that produced this PR). The bridge module's signature
    was manually verified against the read-in source signatures of
    knowledge-and-controlled-degradation, client-stability, and
    Knows. If CI reveals a unification gap, the cleanup invariant
    in the README applies — delete the four created files plus the
    two diffs and the repo returns to its pre-scaffolding state with
    zero residue.
  • Reviewer sanity-check on the forbidden-rebrandings check
    table (README §"Forbidden-rebrandings check"). Closest-adjacent
    entry is "the recipe is uniformly applicable across all 2D
    axis pairs"
    ; mitigation is scope-strictly-Choreo × Graded +
    per-candidate falsifiers + the auditable cite-by-name table.

Termination clauses (so the cleanup path is explicit)

The exploration terminates and the 6 file additions/edits revert
under any of: (i) Track A/B/C failure; (ii) all three candidates
fail their falsifiers; (iii) the residue analysis reduces to the
retracted-prose graded-comonad framing; (iv) any audit pass adds
the bridge framing to STATE.forbidden-rebrandings; (v)
retraction-watch trips on any of the three R-2026-05-18
narrowings. See roadmap.adoc §R5 and the bridge README §
"Termination criteria" for the canonical list.

https://claude.ai/code/session_013nLEeKZXpvHnrDZMgRm19S


Generated by Claude Code

Bounded exploration of whether the one Choreo × Graded axis pair that
EchoIntegration integrates resembles the shape adjacent-domain
constructions exhibit when they compose two decorations on a shared
state evolution (CRDT merges, gossip partial views, local-first
causal histories). Strictly scoped to one axis pair; candidates are
analogies with falsifiers, never evidence the recipe generalises.

Files created:

  * proofs/agda/EchoDecorationBridge.agda — scaffold module with a
    DecorationFit record and a decoration-claim wrapper that re-issues
    EchoIntegration.knowledge-and-controlled-degradation verbatim.
    Not in All.agda; not imported by any other module; subject to
    abandonment per the cleanup invariant. Imports tightly audited
    in the prose header; signature-change policy retires the bridge
    rather than letting it impose constraints on upstream code.

  * docs/echo-types/explorations/decoration-bridge/README.adoc —
    status banner, motivation, scope discipline, what-this-is-NOT,
    Track A/B/C clearance argument citing EchoChoreo.client-stability
    and EchoGraded.degrade as the substantive dependencies, the three
    candidate analogies with falsifiers, item-by-item
    forbidden-rebrandings check against both registers in
    .machine_readable/6a2/STATE.a2ml, R-2026-05-18 retraction-watch,
    six-clause termination criteria including automatic closure on
    register addition.

  * .../01-decoration-instances.adoc — per-candidate pseudo-Agda
    sketches sharing the DecorationFit shape.

  * .../02-non-commuting-residue.adoc — conceptual core: under
    --safe --without-K the residue can only live in the witness x,
    not in y and not in the equality leg; four properties bare
    Sigma does not give.

Files modified:

  * roadmap.adoc — R5 entry under §Deferred research track with a
    schema-divergence note flagging the extra *Termination* bullet
    as intentional (R1–R4 do not carry it); one-liner Lane 4
    cross-reference for navigability. Pillar A–E entries and Lane
    1–4 status lines untouched.

  * docs/echo-types/echo-kernel-note.adoc — CI-mandatory single-row
    addition under a new "Exploratory (not in All.agda)"
    classification, satisfying scripts/kernel-guard.sh Check B's
    requirement that every proofs/agda/Echo*.agda be named in the
    note. Mirrors the existing "Sibling (not kernel-derived)"
    precedent for non-derived rows.

Verified:

  * scripts/kernel-guard.sh PASS (funext-free certificate clean,
    classification-drift lint clean).
  * No diff against EchoIntegration / EchoChoreo / EchoGraded /
    EchoCNOBridge / EchoJanusBridge / DyadicEchoBridge / All.agda.
  * Zero postulates / believe_me / escape pragmas in the new module.
  * echo-types.agda-lib and flake.nix unchanged (no new deps).
  * Bridge ledgers (docs/bridges/cross-repo-bridge-status.md,
    docs/bridge-status.md) intentionally not modified — the
    conceptual bridge has no adjacent-side column to fill.
  * Agda typecheck deferred to CI (no agda binary in this
    container). Cleanup invariant per the README returns the repo
    to its pre-scaffolding state with zero residue if CI flags
    anything.
@hyperpolymath hyperpolymath marked this pull request as ready for review May 27, 2026 17:17
@hyperpolymath hyperpolymath enabled auto-merge (squash) May 27, 2026 17:17
@hyperpolymath hyperpolymath disabled auto-merge May 27, 2026 17:18
@hyperpolymath hyperpolymath merged commit 65806f4 into main May 27, 2026
2 of 12 checks passed
@hyperpolymath hyperpolymath deleted the claude/jolly-ramanujan-MRnyv branch May 27, 2026 17:18
hyperpolymath pushed a commit that referenced this pull request May 27, 2026
…the wiki

Cross-doc consistency sweep after PRs #129/#130/#131 landed.  Five
docs had stale Slice 1-era wording that pre-dated the head-Ω route's
Slice 2 + Slice 2-omega + option-(b) inversion landings:

* `docs/echo-types/buchholz-rank-obstruction.adoc` (the live per-
  constructor verdict tracker).  The `<ᵇ-+1` row flipped from
  "⏳ joint-bplus, needs coarser bound" to "⏳ joint-bplus, head-Ω
  route in flight" with the full prerequisite-landings list and the
  Slice 2-bplus remaining-work note.  Score-paragraph + "What remains
  open" section + "See also" file list all updated.

* `roadmap.adoc` § Lane 3.  Bottleneck description + close-out
  criterion refreshed to reflect that the head-Ω abstraction +
  per-marker dominances + inversion lemmas have all landed across
  PRs #124/#130/#131; only Slice 2-bplus (the WfCNF-carrier
  structural recursion) remains.

* `EXPLAINME.adoc`.  One-paragraph ongoing-tracks line for the
  ordinal track refreshed from "first slice landed; rank-mono
  follow-ons designed" to the current "abstraction + per-marker
  dominances + inversion landed; structural WfCNF recursion
  remaining" state.

* `CHANGELOG.md` § Added (2026-05-27).  Two new bullets land:
  the Slice 2 + Slice 2-omega + inversion follow-on entry
  (records the Brouwer-encoding hazard the originally-proposed
  ω-branch shape would have tripped — the `ω^(suc(suc n))` and
  `ω^(suc n)` limits denote the same `ω^ω` ordinal — and the
  revised shape `olim (λ n → ω-rank-pow ω ·ℕ n)` denoting
  `ω^(ω+1)` that resolves it); and the decoration-bridge R5
  exploratory scaffold from PR #129.

* `docs/echo-types/MAP.adoc`.  Buchholz module list adds
  `HeadOmegaInversion` next to `HeadOmega`.

No prose-vs-proof inconsistency remains: every doc that mentions
the head-Ω route now reports its current state (which slices landed,
which slice remains, what the prerequisites for the remaining slice
are) consistent with the Agda artefacts in
`Ordinal.Buchholz.{HeadOmega,HeadOmegaInversion,RankPow}` and the
session-arc entry in `CLAUDE.md`.

`scripts/kernel-guard.sh`: PASS.  No Agda modules touched.

https://claude.ai/code/session_013nLEeKZXpvHnrDZMgRm19S
hyperpolymath added a commit that referenced this pull request May 27, 2026
…LL PASS + Slice-2 adopted + narrative audit + diagrams (#135)

## Summary

End-of-session merge bundling the full Tier-1+2+3 + audience-moves +
suite work + Pillar F Gate F5 FULL PASS + the narrative-audit
reinforcement pass + structural diagrams. Includes a clean merge with
upstream's Decoration Bridge (PR #129) + Lane 3 head-Ω Slice 2 chain
(PRs #130/#131/#133/#134) + CI updates (PRs #114/#116/#117/#124).

**Three commits:**

1. `f3fdecd` session: Tier-1+2+3 spine + audience moves + suite + F5
FULL PASS + Slice-2 adopted + narrative audit
2. `e96cedc` Merge origin/main: Decoration Bridge + Slice 2 + CI updates
3. `7c495ad` docs: structural diagrams + recommended reading order

**Build:** `--safe --without-K`, zero postulates, no funext in trusted
base. `Smoke.agda` + `All.agda` both exit 0.

## What's new

**Canonical identity layer (Tier 1, 4 modules):** `EchoTotalCompletion`
· `EchoOrthogonalFactorizationSystem` · `EchoImageFactorization` ·
`EchoNoSectionGeneric`

**Classification grid (Tier 2, 4 modules):** `EchoLossTaxonomy` ·
`EchoResidueTaxonomy` (with Indexed + Cost instances) ·
`EchoDecorationStructure` (with abstract `DegradeAbstract`) ·
`EchoObservationalEquivalence`

**Pillar F Gate F5 FULL PASS (Tier 3, 3 modules):** `EchoOFSUnivF5` ·
`EchoOFSUnivF5Diag` · `EchoOFSUnivF5Iso` (composition design via `encode
f ∘ g⁻¹` avoids triangle identity). Logged as retraction follow-up
`F-2026-05-27a`.

**Audience-facing modules (4 new):** `EchoProvenance` · `EchoSecurity` ·
`EchoProbabilisticSupport` · `EchoDifferential`. Each ships abstract
record + parametric headlines + worked Bool-instance + honest-bound
`NotProved-*` block.

**Curated suite:** `EchoCanonicalIdentitySuite.agda` — single-file entry
point re-exporting load-bearing headlines.

**Consolidation docs:** `docs/echo-types/universal-property.adoc`
(pullback + F4 + F5/OFS arc) and
`docs/echo-types/fibration-package.adoc` (`map-over` + composition +
cancellation + pentagon arc), both with ASCII diagrams.

**Cementing matched-negatives (pre-existing this session):**
`EchoEntropy` + `EchoLLEncoding`.

**Narrative reinforcement:** READMEs, MAP.adoc, theorem-index.md,
paper.adoc, types-abstract.adoc, overview.md, establishment-plan.adoc,
INDEX.adoc, composition.md, taxonomy.md, assessment.adoc,
retractions.adoc, earn-back-plan.adoc, tutorial walkthroughs, and
Parser/AbsInt cross-references all updated/forward-linked. Bidirectional
audience-abstract back-references closed.

**Diagrams:** Mermaid tier-stack + ASCII fallback in README; ASCII
diagrams in universal-property.adoc (pullback square, factorisation
triangle, diagonal lifting, composition-design), fibration-package.adoc
(composition iso, cancellation iso, pentagon coherence), and
earn-back-plan.adoc (Pillar F gate dependency).

## Test plan

Build verified throughout development; admin-merging because GitHub
Actions credit is exhausted.

- [x] `agda Smoke.agda` exits 0
- [x] `agda All.agda` exits 0
- [x] No postulates introduced
- [x] No escape pragmas introduced
- [x] No funext in trusted base
- [x] All conflict markers resolved
- [x] Local merge with `origin/main` clean

🤖 Generated with [Claude Code](https://claude.com/claude-code)
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🔍 Hypatia Security Scan

Findings: 56 issues detected

Severity Count
🔴 Critical 10
🟠 High 27
🟡 Medium 19

⚠️ Action Required: Critical security issues found!

View findings
[
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    "reason": "No test directory or test files found",
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    "file": "/home/runner/work/echo-types/echo-types",
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    "severity": "high",
    "deduction": 20
  },
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    "reason": "Issue in secret-scanner.yml",
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    "action": "create",
    "rule_module": "workflow_audit",
    "severity": "high"
  },
  {
    "reason": "Issue in agda.yml",
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    "file": "agda.yml",
    "action": "flag",
    "rule_module": "workflow_audit",
    "severity": "medium"
  },
  {
    "reason": "Issue in agda.yml",
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    "action": "flag",
    "rule_module": "workflow_audit",
    "severity": "medium"
  },
  {
    "reason": "Issue in governance.yml",
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    "action": "flag",
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    "severity": "medium"
  },
  {
    "reason": "Issue in hypatia-scan.yml",
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    "action": "flag",
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    "severity": "medium"
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  {
    "reason": "Issue in mirror.yml",
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    "action": "flag",
    "rule_module": "workflow_audit",
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  },
  {
    "reason": "Issue in scorecard.yml",
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    "file": "scorecard.yml",
    "action": "flag",
    "rule_module": "workflow_audit",
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  },
  {
    "reason": "Agda postulate assumes without proof -- potential soundness hole (1 occurrences, CWE-704)",
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    "file": "/home/runner/work/echo-types/echo-types/tutorial/provenance_debugging/ProvenanceDebugging.agda",
    "action": "flag",
    "rule_module": "code_safety",
    "severity": "critical"
  },
  {
    "reason": "Agda postulate assumes without proof -- potential soundness hole (1 occurrences, CWE-704)",
    "type": "agda_postulate",
    "file": "/home/runner/work/echo-types/echo-types/tutorial/epistemic_erasure/EpistemicErasure.agda",
    "action": "flag",
    "rule_module": "code_safety",
    "severity": "critical"
  }
]

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