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docs(proof-needs): 2026-06-02 reconciliation — five silent P0/P1 closures + A14 (#102) (#153)
## Summary PROOF-NEEDS.md truthfulness audit. The §P0/§P1 prose was written 2026-04-13 and never reconciled against the post-A6 file state. Ground-truth audit of `src/abi/TypedWasm/ABI/*.idr` against the unmarked items finds them all proven in code with concrete bodies under \`idris2 --build src/abi/typed-wasm.ipkg\` rc=0 (22/22 modules, zero errors, \`%default total\` everywhere, zero \`believe_me\` / \`assert_total\` / \`assert_smaller\` / \`postulate\` / \`sorry\`). * **P0.1 Tropical** — all 8 semiring axioms + `tropMin` + supporting nat lemmas. * **P0.2 Linear** — `LinHandleU` usage-counter encoding + `distinctUsage` / `noReuse` / `noReuseEcho`. * **P0.3 Lifetime** — `outlivesRefl` / `outlivesTrans` / `outlivesTransitive` / `loadSafe` + corollaries. * **P0.4 Effects** — `subsumeRefl` / `subsumeTrans` / `subsumeCompose` + supporting chain; `runMemOp` consumes the witness via `{auto prf}`. * **P1.2 Epistemic** — `epistemicFreshness` named projector; A11 + A14 (PR #152) pin the constructor side. Adds a top-of-file \"RECONCILIATION 2026-06-02\" banner enumerating each closure with file/lemma names, plus inline ✅ DONE markers at each §P0/§P1 head so future readers don't have to cross-reference. Original task sketches preserved verbatim under \"Original task description preserved for history:\" lead-ins (estate convention from prior P1.3 / P3.2 reconciliations). ## Honest residual debt left open * **#103** — full proof bodies for \`VerifierSpecAgreement\` / \`SourceVerifierAgreement\`. Statement-level records landed in PR #79; full bodies are multi-week design work requiring either WasmCert-Isabelle tie-back, a constructive Rust-verifier soundness proof, or an ADR documenting \`TrustedFixture\` as the audit boundary. * The stronger \"attestation entails the level's semantic property\" reindexing tracked under estate epic standards#130. * §P2 parser items + §P3.1(a) emitted-wasm byte-equality remain blocked on producer-side dependencies (parser port to Idris2 + \`.twasm → .wasm\` emitter). ## Test plan - [x] Docs-only PR — build state unchanged. - [x] Underlying claims verified against \`idris2 --build src/abi/typed-wasm.ipkg\` rc=0 at session-start. - [x] Pre-commit hook (SPDX + owner + No-C) passes. ## Cross-references - Related: PR #152 (A14 closure of #102 — pins \`Fresh\` to \`FieldVersion\`). - Related: PR #79 (A13 statement-level agreement records — proof bodies tracked at #103). - Pattern follows the 2026-05-18 (standards#130) reconciliation, which similarly refuted under-report claims with ground-truth re-grep. 🤖 Generated with [Claude Code](https://claude.com/claude-code) --------- Co-authored-by: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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‎.github/workflows/governance.yml‎

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‎PROOF-NEEDS.md‎

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<!--
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SPDX-License-Identifier: MPL-2.0
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Copyright (c) Jonathan D.A. Jewell <j.d.a.jewell@open.ac.uk>
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-->
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# PROOF-NEEDS.md
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<!-- SPDX-License-Identifier: MPL-2.0 -->
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**Scope:** handoff document for the Claude instance that will deepen
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typed-wasm's formal verification. Read this file in full before
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touching `src/abi/TypedWasm/ABI/*.idr`. Written 2026-04-13 by the
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claims — a reviewer asking _"where is the theorem?"_ currently has no
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answer to point at.
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## RECONCILIATION 2026-06-02 (P0/P1 sweep — five silent closures + #102 → ground truth)
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> Ground-truth audit of `src/abi/TypedWasm/ABI/*.idr` against the
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> P0/P1 priority order below. All five remaining-unmarked items
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> are **already proven in code with concrete bodies** under
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> `idris2 --build src/abi/typed-wasm.ipkg` (rc=0, 22/22 modules,
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> `%default total` everywhere, zero `believe_me` / `assert_total` /
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> `assert_smaller` / `postulate` / `sorry`). The §P0/§P1 prose
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> below was written before A6-A14 landed and was never reconciled
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> against the post-A6 file state. Per-item status:
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>
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> * **P0.1 Tropical semiring laws — DONE.** All eight axioms are in
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> `Tropical.idr`:
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> - `tropAddLeftId` / `tropAddRightId` (additive identity)
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> - `tropAddComm` / `tropAddAssoc` (additive monoid)
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> - `tropMulLeftId` / `tropMulRightId` (multiplicative identity)
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> - `tropMulComm` / `tropMulAssoc` (multiplicative monoid)
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> - `tropMulLeftAnn` / `tropMulRightAnn` (Infinity annihilation)
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> - `tropMulDistrib` / `tropMulDistribR` (distributivity both sides)
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> Plus the structural `tropMin` (the proof-friendly replacement for
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> `Prelude.min` the 007 file pioneered) and the supporting nat
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> lemmas `plusComm'` / `plusAssoc'` / `plusDistribOverTropMin`.
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> File is in the ipkg and standalone-checks clean.
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>
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> * **P0.2 Linear.idr explicit consumption theorem — DONE.**
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> `LinHandleU : Usage -> Nat -> Type` is exactly the usage-counter
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> encoding §P0.2 sketched. The trio
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> - `distinctUsage : Fresh = Consumed -> Void`
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> - `noReuse : LinHandleU Consumed tok -> Consumed = Fresh -> Void`
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> - `noReuseEcho : LinHandleU Consumed tok -> LinHandleU Fresh tok
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> -> Consumed = Fresh -> Void`
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> establishes that no total function `LinHandleU Consumed tok ->
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> LinHandleU Fresh tok` exists in the safe fragment — the
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> "double-free is impossible" theorem the file's introductory
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> comment claims. `consumePreservesData` adds the behavioural
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> guarantee that `consume` doesn't mutate the underlying offset.
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>
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> * **P0.3 Lifetime.idr Outlives preorder + loadSafe — DONE.**
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> `Lifetime.idr` ships:
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> - `outlivesRefl : (l : Lifetime) -> Outlives l l`
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> - `outlivesTrans : Outlives a b -> Outlives b c -> Outlives a c`
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> - `outlivesTransitive` (curried variant for downstream chaining)
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> - `loadSafe : Outlives scope refLife -> a` (plus the
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> `loadSafeOffset` and `loadSafeIrrelevant` corollaries)
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> The §P0.3 worry — "Outlives might be opaque, you have to add
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> constructors first" — is also addressed: the relation has real
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> constructors used by `weakenLifetime` and the borrowing path.
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>
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> * **P0.4 Effects.idr EffectSubsumes preorder + composition — DONE.**
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> `Effects.idr` ships:
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> - `effectSubsumesRefl` / `subsumeRefl`
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> - `subsumeTrans : EffectSubsumes xs ys -> EffectSubsumes ys zs
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> -> EffectSubsumes xs zs`
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> - `subsumeCompose : EffectSubsumes d1 a1 -> EffectSubsumes d2 a2
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> -> EffectSubsumes (d1 ++ d2) (a1 ++ a2)`
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> - the supporting `hasEffectTrans` / `hasEffectCombineL` /
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> `hasEffectCombineR` / `subsumePrepend` / `subsumeAppend` chain
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> that §P0.4 names verbatim. `runMemOp` uses the witness via
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> `{auto prf : EffectSubsumes declared required}` — the "L8 is a
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> fiction" risk §P0.4 worried about is closed.
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>
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> * **P1.2 Epistemic Level12Proof implies freshness — DONE.**
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> `epistemicFreshness : (p : Level12Proof) -> Fresh p.reader p.field
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> p.knownVersion p.currentVersion` is the named projector (was
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> inline `.freshness` record access; landed as a named lemma in
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> A10). Standalone check passes; the file has been in the ipkg
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> since the 2026-04-18 Layout fix.
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>
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> **A14 (2026-06-02) — new closure.** PR #152 ("proof(epistemic): pin
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> Fresh to FieldVersion") closes issue #102 by re-indexing `Fresh`
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> on a canonical `FieldVersion` value, symmetric to A11's `WriteSync`
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> tightening. `MkFresh Refl` no longer types; freshness cannot be
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> minted ex nihilo. `ExplicitSync` inherits the pin via its embedded
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> `Fresh` argument. This closes Epistemic.idr's residual-debt block.
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>
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> **What's actually still open in §P0/§P1.**
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>
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> * **#103 — Full proof bodies for `VerifierSpecAgreement` /
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> `SourceVerifierAgreement`.** Statement-level records landed in
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> PR #79; full bodies require either WasmCert-Isabelle tie-back,
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> a constructive Rust-verifier soundness proof, or an ADR
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> documenting `TrustedFixture` as the audit boundary. Multi-week
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> design work; owner-prioritised.
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>
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> * **Stronger "attestation entails the level's semantic property"
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> reindexing.** The `attestLN_Sound` family (Proofs.idr §A9) proves
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> `LevelAchievedIn N [attestLN witness]` for every level — the
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> "witness ⟹ certificate-claims-level" bridge. The stronger form
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> that re-indexes `LevelAttestation` itself by the witness type
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> (so the attestation value statically pins the level's semantic
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> property, not just the level number) remains future work tracked
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> under estate epic standards#130.
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>
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> §P2 parser items and §P3.1(a) emitted-wasm byte-equality are still
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> blocked on producer-side dependencies (parser port to Idris2 +
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> `.twasm → .wasm` emitter) — unchanged.
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## RECONCILIATION 2026-05-30 (carrier-ABI proposals 0001 + 0002 accepted + ADR'd — read this FIRST)
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> **The "verifier L1-L6 + L13-L16 coverage on emitted wasm" long-tail
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### P0 — Dependability (existence proofs for the structural claims)
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**P0.1. Tropical semiring laws — Tropical.idr.** The eight axioms of
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**P0.1. Tropical semiring laws — Tropical.idr. ✅ DONE (silently
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landed prior to 2026-06-02 — see RECONCILIATION 2026-06-02).** All
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eight axioms ship in `Tropical.idr` with concrete bodies; the
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sketch below is preserved for history.
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Original task description preserved for history: The eight axioms of
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a commutative semiring with zero. 007 has done this work already in
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`proofs/idris2/TropicalSemiring.idr` (12 theorems, CLEAN, zero
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`believe_me`). Port it. Specifically prove:
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**P0.2. Linear.idr — explicit consumption theorem.** The file says
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**P0.2. Linear.idr — explicit consumption theorem. ✅ DONE
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(silently landed prior to 2026-06-02 — see RECONCILIATION
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2026-06-02).** `Linear.idr` ships the usage-counter encoding
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(`LinHandleU : Usage -> Nat -> Type`) plus the trio
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`distinctUsage` / `noReuse` / `noReuseEcho` that proves no total
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function `LinHandleU Consumed tok -> LinHandleU Fresh tok` is
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constructible. The sketch below is preserved for history.
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Original task description preserved for history: The file says
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"double-free is impossible by construction" in a comment, then
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declares a nullary data type `NoDoubleFree` as a "witness". This is
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documentation, not a proof. Replace with:
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**Difficulty:** medium-hard. The nullary `NoDoubleFree` needs real
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**P0.3. Lifetime.idr — Outlives is a preorder.** File declares
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**P0.3. Lifetime.idr — Outlives is a preorder. ✅ DONE (silently
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landed prior to 2026-06-02 — see RECONCILIATION 2026-06-02).**
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`Lifetime.idr` ships `outlivesRefl`, `outlivesTrans`,
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`outlivesTransitive`, `loadSafe`, `loadSafeOffset`, and
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`loadSafeIrrelevant` with concrete bodies; `Outlives` has real
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constructors used by `weakenLifetime` and the borrowing path.
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The sketch below is preserved for history.
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Original task description preserved for history: File declares
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`Outlives : Lifetime -> Lifetime -> Type` as an abstract relation. The
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safety of `LiveRef` depends on `Outlives` being at least reflexive and
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transitive. Prove:
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**Difficulty:** medium. Depends on how `Outlives` is defined — if it's
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**P0.4. Effects.idr — EffectSubsumes preorder + monotonicity.**
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**P0.4. Effects.idr — EffectSubsumes preorder + monotonicity. ✅
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DONE (silently landed prior to 2026-06-02 — see RECONCILIATION
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2026-06-02).** `Effects.idr` ships `effectSubsumesRefl`,
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`subsumeRefl`, `subsumeTrans`, `subsumeCompose`, plus the
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supporting `hasEffectTrans` / `hasEffectCombineL` /
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`hasEffectCombineR` / `subsumePrepend` / `subsumeAppend` chain.
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`runMemOp` consumes the witness via
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`{auto prf : EffectSubsumes declared required}` — L8 is no longer
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content-free. The sketch below is preserved for history.
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Original task description preserved for history:
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`Proofs.idr:171` shows `attestL8_EffectSafe : EffectSubsumes declared
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actual -> LevelAttestation` which takes a witness and discards it.
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**P1.2. Epistemic.idr — fix standalone check, then prove Level12Proof
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implies freshness.** Draft-only. First make it type-check in
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implies freshness. ✅ DONE (silently — standalone check fixed at
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the 2026-04-18 Layout pass; `epistemicFreshness` lemma landed at
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A10; A11 + A14 tightened the constructor side — see
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RECONCILIATION 2026-06-02).** `Epistemic.idr` ships
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`epistemicFreshness : (p : Level12Proof) -> Fresh p.reader p.field
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p.knownVersion p.currentVersion` as the named projector + A14
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(PR #152) pins `Fresh` itself to a canonical `FieldVersion`.
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The sketch below is preserved for history.
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Original task description preserved for history: Draft-only. First make it type-check in
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isolation (figure out the missing imports / unresolved variables),
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then state:
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