ABI Layer 5: end-to-end soundness capstone certificate#45
Merged
Conversation
Add the flagship Layer-2 semantic proof for julianiser. Models a shared
arithmetic + array-indexing expression AST with two evaluators: evalSrc
(Python/R, 0-based indexing) and evalJulia (translated Julia, 1-based
indexing). Proves the headline correctness property:
translatePreserves : (env) -> (e) ->
evalSrc env e = evalJulia env (translate e)
as a genuine propositional equality by structural induction, with the
index case discharged by the 0-to-1 re-basing round-trip lemma
(juliaRoundTrip), mirroring IndexRemapCorrect in Types.idr.
Includes a sound certifier (certifyEquiv/certifyEquivSound), a positive
control (sampleAgrees, fully evaluated 10*2+30=50), and a negative
control: a deliberately unshifted "buggy" Julia evaluator together with
buggyDivergesWitness proving it genuinely diverges (30 /= 20). The
property is non-vacuous: an adversarial Refl claiming the buggy
translation preserves results is rejected by idris2 (Mismatch 20 vs 30).
No believe_me/postulate/assert_total. Builds clean, zero warnings.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
…ss checker Raises the julianiser Idris2 ABI from Layer 2 to Layer 3 with a new Julianiser.ABI.Invariants module built over the existing Semantics model (no datatypes redefined). Proves three deeper, distinct properties: - Compositionality: translate is a homomorphism over syntactic linking (translateHom) and correctness is closed under composition (preserveCompose) — a modular argument, not the Layer-2 induction. - Determinism: evalJulia congruence + pipeline determinism, plus translate injectivity (deterministic, information-preserving codegen). - A second sound+complete Dec checker for faithful (source,julia) pairs (decFaithful + soundness + completeness), with DecEq for JExpr/JuliaIdx. Includes positive controls (composite round-trip via preserveCompose, homomorphism Refl, faithful acceptance) and negative/non-vacuity controls (translate injectivity disequality, checker rejection). %default total, no believe_me/postulate/assert. Clean build, zero warnings; adversarial false-equality check rejected. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Prove the FFI result-code wire encoding is sound for Julianiser: - intToResult decoder + resultRoundTrip: faithful/lossless round-trip - resultToIntInjective: derived from round-trip via cong + justInj - positive controls (decode 0/6/7) and negative non-vacuity controls (distinct codes have distinct ints, machine-checked) Genuine proof only; no believe_me/postulate/etc. %default total, zero warnings. Julianiser has only Result/resultToInt as an FFI enum encoder (no ProofStatus/statusToInt), so clause (c) is vacuous. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Assemble the existing per-layer proofs into one inhabited value `abiContractDischarged : ABISound`, wiring the flagship semantic preservation (Semantics.sampleAgreesGeneric), the Layer-3 invariants (Invariants.compositeAgrees compositionality + translateInjective deterministic codegen), and the Layer-4 FFI seam injectivity (FfiSeam.resultToIntInjective) into a single end-to-end soundness statement. No new domain theorem; genuine composition only. Builds with zero warnings; a false-certificate adversarial probe is rejected. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Signed-off-by: Jonathan D.A. Jewell <6759885+hyperpolymath@users.noreply.github.com>
6 tasks
hyperpolymath
added a commit
that referenced
this pull request
Jul 2, 2026
<!-- SPDX-License-Identifier: CC-BY-SA-4.0 --> ## Summary Closes the **G34** hole: the ABI-FFI gate ran a Julia *structural* conformance check and a Zig FFI build, but **nothing ever ran `idris2` on the ABI itself**. The 8 proof modules (`Types`, `Layout`, `Foreign`, `Proofs`, `Semantics`, `Invariants`, `FfiSeam`, `Capstone` — landed across PRs #38/#42/#43/#44/#45) were authored and locally verified against Idris2 0.7.0 but never compiler-checked in CI. A future edit could break a proof and the gate would stay green. ## Changes - **`.github/workflows/abi-ffi-gate.yml`**: new `idris2-abi` job running `idris2 --typecheck julianiser-abi.ipkg` in the SHA-pinned `ghcr.io/stefan-hoeck/idris2-pack` container (the same prebuilt image the `Axiom.jl` `idris2-abi-check` job uses — avoids a ~10-min Chez/Idris2 source build). Header comment updated to describe all three jobs. - **`.tool-versions`**: uncomment `idris2 0.7.0` (pins the version the proofs were verified against, for local `asdf` use). Nothing auto-installs from it, so this is documentation-only. ## RSR Quality Checklist ### Required - [x] Tests pass — `idris2 --typecheck julianiser-abi.ipkg` and `idris2 --build julianiser-abi.ipkg` both exit 0 on all 8 modules (verified locally, Idris2 0.7.0) - [x] No banned language patterns (YAML workflow + `.tool-versions` only) - [x] No banned functions (`believe_me`/`postulate`/`sorry`) — the ABI modules are unchanged by this PR; the new job *enforces* their absence going forward - [x] SPDX headers intact (workflow retains its `MPL-2.0` header; no source files added) - [x] No secrets, credentials, or `.env` files included ### As Applicable - [x] ABI/FFI changes validated — CI now typechecks `src/interface/abi/` on every push/PR; the existing structural + Zig jobs are untouched ## Testing Ground-truthed with Idris2 0.7.0: - `cd src/interface/abi && idris2 --typecheck julianiser-abi.ipkg` → exit 0 - `idris2 --build julianiser-abi.ipkg` → exit 0 - YAML parses; job list = `conformance`, `zig-build`, `idris2-abi`; `working-directory` path `src/interface/abi/julianiser-abi.ipkg` exists. The pinned container image is the identical digest already green in `Axiom.jl`'s equivalent `idris2-abi-check` job. 🤖 Generated with [Claude Code](https://claude.com/claude-code) https://claude.ai/code/session_01UPFC9YQ7g9gc3VnRox42Q1 --- _Generated by [Claude Code](https://claude.ai/code/session_01UPFC9YQ7g9gc3VnRox42Q1)_ Co-authored-by: Claude <noreply@anthropic.com>
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
2 participants
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
Summary
Layer 5 (the capstone, completing the 5-layer proof track): a new
*.ABI.Capstonemodule importing every prior layer and assembling a single inhabitedABISoundcertificate (abiContractDischarged) from the real exported witnesses of the flagship property (L2 translation preservation), the deeper invariant (L3 compositionality), and the FFI-seam injectivity (L4). One end-to-end soundness statement.Genuine composition only — reuses real exported names.
Testing
Idris2 0.7.0
--build→ exit 0, zero warnings. Adversarial: a bogus-field certificate was rejected.build/removed. Nobelieve_me/postulate/sorry.🤖 Generated with Claude Code
https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Generated by Claude Code