The arithmetic guards of the direct decodes (their own predictors, and the
saturating step of wir1_arith) no longer run outside the test-only decode;
the stage operators carry them now.
- int_video::predict is E10 on an RGB8 frame (the encoder predicts with it,
as the decode does); the direct predictor, verbatim, is
int_video::legacy::predict, test-only.
- staged::wir1: the direct decode's pred_at and step are legacy's. The
encoder predicts with the decode's E11, E12 or the element below
(ops::prediction) and steps with E9; it refuses a stage below of the wrong
shape or element type up front. ops::{up2_prediction, rate_prediction} are
E11 and E12 on the interleaved layouts, which the staged-measurement and
staged-corpus tools now call.
- staged::predict's up2_at, rate_at, rate_index and rdiv, and the
wir1_arith module, are test-only (legacy_int; and cfg(kani), for the
harnesses that still prove them); rate_len, the rate predictor's geometry,
stays. wai-verify declares legacy_int.
- The predictors' proofs move to the operators a decode runs: wai-ops'
e11_up2_between_its_neighbours, e12_rdiv_matches_its_definition and
e12_rate_at_reads_only_source_samples, in the stage shard.
Gate 6's results, for the record (the switch at 9a377f9b): gate.sh GREEN;
the release fast-kernel step; staged_verify.py and int_payload_verify.py;
wai-web native 32 and wasm32, verify_int_payload_wasm and verify_staged_wasm
(69 of 69 cases, 146 unit stage hashes equal the native ones); include/wai.h
unchanged. Falsified with the switch live: E10's half-pel rounding without
its +1 and E12's rdiv halves toward zero turn the file-based goldens red
(byte-exact wiv1_keyframe_0_payloads_are_byte_identical, video_real frame 2;
int_video_real_footage_exercises_the_half_pel_predictor;
staged_audio_rate_ladder_is_byte_exact; wai-rs int_video_halfpel), and the
corpora (wai_int_payload_vectors verify, FAIL video_real; wai_staged_vectors
verify, the encoder's reconstruction differs from the decode); the Python
verifiers stay green. The decode cloning the previous frame for E10 turns
int_payload_cost red: int_video held 42524 bytes against 35612 declared.
Co-Authored-By: Claude Opus 5.5 <[email protected]>
231 lines
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231 lines
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name: wai formal verification (integer core)
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# The other half of the determinism contract.
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#
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# `wai-byte-equality` establishes byte-exactness by SAMPLING: it decodes fixed
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# vectors on five real OS/arch combinations and asserts identical bytes. That
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# proves the paths agree on the inputs someone thought to write down.
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#
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# This job REASONS instead. It runs a model checker (Kani/CBMC) over the same
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# sources, for every input in a bounded window, and discharges the property the
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# byte-exactness claim actually rests on: arithmetic totality. Rust integer
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# overflow panics in debug and wraps in release, so an overflowing decoder is
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# not one implementation but two, and which one a sink runs depends on how it
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# was compiled. A decoder proved free of overflow, out-of-bounds access and
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# non-termination is a decoder whose bitstream means exactly one thing.
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#
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# This is not redundant with the matrix: the matrix decodes WELL-FORMED vectors,
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# so it cannot see defects that only a malformed or adversarial stream reaches.
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# Four such defects in the bypass escape were found here and fixed, and the
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# harnesses stand so they cannot come back.
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#
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# The proofs are bounded (small symbolic CDFs, fixed-length symbolic streams,
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# explicit unwind limits). Bounded is not universal, and the job claims only
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# what it checks.
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#
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# It also checks the integer operator set (wai/extensions/integer-operators.md):
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# the harnesses of its test plan, in wai/wai-ops/src/proofs/, which the host
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# includes beside the operator set's sources. They prove the roundings, the
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# requantisation, a 32-bit fabric's limb product and epilogue, the soundness of
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# the bound rules against the interpreter, the stage operators' totality and
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# refusal order, the plans, and the graph form's parse. Each harness states its
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# window. The harnesses run in shards; the first job holds the shards to
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# covering every harness exactly once.
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# One run per branch at a time. A push supersedes the run before it.
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#
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# There is one `macos` runner and it is the dev Mac, so every macOS job in this
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# repo queues on it. With no concurrency group, a session pushing four versions
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# of a branch queued four complete sets of runs and every one of them had to
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# drain: on 2026-10-05 a PR's 21 contexts settled none in 70 minutes behind a
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# backlog of 25 runs, and the queue grew faster than it cleared. Only the newest
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# commit's verdict is wanted, so the older runs are cancelled.
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#
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# Verified on this forge (Forgejo 16.0.5) in `ci-test` before being added here:
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# the key parses, and a newer push moves an older run to `cancelled` even while
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# it is still queued, which is the case that matters.
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#
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# `cancel-in-progress: true` also applies to `main`. That is deliberate and
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# safe here: main advances by merge commits whose tree contains the commits
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# before them, so the newer run covers the older one's changes.
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concurrency:
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group: ${{ github.workflow }}-${{ github.ref }}
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cancel-in-progress: true
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on:
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pull_request:
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paths:
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- 'wai/wai-verify/**'
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# The verified source itself must be able to fire this job, or a change
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# can regress totality and merge green.
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- 'wai/wai-rs/src/rans.rs'
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- 'wai/wai-rs/src/int_entropy.rs'
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- 'wai/wai-rs/src/int_transform.rs'
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- 'wai/wai-rs/src/wai_video_policy.rs'
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- 'wai/wai-rs/src/staged/predict.rs'
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- 'wai/wai-rs/src/staged/wir1_arith.rs'
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# Verified by K10 as the fast path of the reference IGDN, and #[path]-included
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# because int_transform's IGDN dispatches to it, so it must also compile under
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# the model checker (its cfg(kani) branches are compiled nowhere else).
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- 'wai/wai-rs/src/int_kernels.rs'
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# The integer operator set: its sources, which the host includes module by
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# module, and its harnesses (src/proofs/).
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- 'wai/wai-ops/src/**'
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- '.github/workflows/wai-formal-verification.yml'
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push:
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branches:
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- main
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paths:
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- 'wai/wai-verify/**'
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- 'wai/wai-rs/src/rans.rs'
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- 'wai/wai-rs/src/int_entropy.rs'
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- 'wai/wai-rs/src/int_transform.rs'
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- 'wai/wai-rs/src/wai_video_policy.rs'
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- 'wai/wai-rs/src/staged/predict.rs'
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- 'wai/wai-rs/src/staged/wir1_arith.rs'
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- 'wai/wai-rs/src/int_kernels.rs'
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- 'wai/wai-ops/src/**'
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- '.github/workflows/wai-formal-verification.yml'
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jobs:
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# Does this pull request's own diff touch the paths below? This forge matches a
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# workflow's `paths:` against the push, so a merge of main into a branch fires the
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# workflow whatever the pull request changes; every job here waits on this answer.
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# A push to main, a schedule, or anything the script cannot determine answers
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# `true` (scripts/pr-touches-paths.py).
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relevant:
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name: does this change touch it
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runs-on: linux-arm64
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outputs:
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run: ${{ steps.gate.outputs.run }}
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steps:
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- uses: actions/checkout@v5
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with:
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fetch-depth: 0
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- id: gate
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run: |
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set -euo pipefail
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r=$(python3 scripts/pr-touches-paths.py .github/workflows/wai-formal-verification.yml \
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"${{ github.event.pull_request.base.sha }}" \
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"${{ github.event.pull_request.head.sha }}")
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echo "this change touches wai-formal-verification: $r"
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echo "run=$r" >> "$GITHUB_OUTPUT"
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# Every harness the host compiles runs in exactly one shard of the matrix below:
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# one no shard runs would be compiled and never checked. No toolchain is needed;
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# the script reads the included sources and this file.
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shards:
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needs: relevant
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if: needs.relevant.outputs.run == 'true'
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name: every harness in one shard
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runs-on: linux
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timeout-minutes: 10
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steps:
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- uses: actions/checkout@v4
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- uses: actions/setup-python@v5
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with:
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python-version: '3.11'
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- name: Every harness runs in exactly one shard
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run: python3 -I wai/wai-verify/check_shards.py .
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kani:
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needs: relevant
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if: needs.relevant.outputs.run == 'true'
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name: kani (${{ matrix.shard }})
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runs-on: ${{ matrix.os }}
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timeout-minutes: 120
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strategy:
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fail-fast: false
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# Each shard is a list of `--harness` filters: a harness runs when its full name
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# contains one. The integer operator set's harnesses (K1–K33 of its test plan)
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# are in proofs::, split so that no shard runs much past an hour; the two 512-bit
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# isqrt harnesses and the longest stage harnesses have shards of their own.
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# Harnesses gated by cfg(kani_open) are not compiled here.
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#
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# Each shard runs where its memory fits. The rans64 totality proof (k26) peaks at
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# about 28 GiB of resident memory and takes about 690 s of verification (measured
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# with /usr/bin/time -l on a 256 GB host); the linux runner has 15 GiB, shared by
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# two jobs, and CBMC ran out of memory there. It has a shard of its own on the
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# macos runner. Every other shard has run to completion on the linux runner.
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matrix:
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include:
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- { shard: integer-core, os: linux, harness: "rans:: int_entropy:: int_transform:: wai_video_policy:: staged_predict:: staged_wir1_arith::" }
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- { shard: arith, os: linux, harness: "proofs::arith::k01 proofs::arith::k03 proofs::arith::k13_isqrt_u128 proofs::arith::k17 proofs::arith::k32 proofs::limb::" }
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- { shard: isqrt512, os: linux, harness: "proofs::arith::k13_isqrt_i512 proofs::arith::k13_isqrt_ceil_i512" }
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- { shard: stage, os: linux, harness: "proofs::stage::k23 proofs::stage::k27 proofs::stage::k28 proofs::stage::k29_residual_step_32bit_identity_registered proofs::stage::k30 proofs::stage::e11 proofs::stage::e12" }
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- { shard: stage-long, os: linux, harness: "proofs::stage::k29_residual_step_32bit_identity_every_range" }
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- { shard: rans64-t2, os: macos, harness: "proofs::stage::k26" }
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- { shard: sound, os: linux, harness: "proofs::sound::" }
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- { shard: plan, os: linux, harness: "proofs::plan::" }
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steps:
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- uses: actions/checkout@v4
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# dtolnay/rust-toolchain cannot help — it calls `rustup`, which is absent
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# on the linux runner's image. The macOS runner executes on the host, which
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# has rustup in ~/.cargo/bin, but launchd's PATH omits that directory: it
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# is put first, so the host's install is found and left as it is.
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- name: Install rustup + toolchain
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shell: bash
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run: |
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set -euo pipefail
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export PATH="$HOME/.cargo/bin:$PATH"
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if ! command -v rustup >/dev/null; then
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curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs \
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| sh -s -- -y --profile minimal --default-toolchain 1.98.0
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fi
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echo "$HOME/.cargo/bin" >> "$GITHUB_PATH"
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# Kani ships its own pinned nightly and a CBMC build; both are slow to
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# fetch, so they are cached on the verifier version. Not on macOS: that
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# runner's home is the host's own, where Kani is installed, and a restore
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# would write over a live install.
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- name: Cache Kani toolchain
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if: matrix.os != 'macos'
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uses: actions/cache@v4
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with:
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path: |
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~/.cargo/bin/kani
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~/.cargo/bin/cargo-kani
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~/.kani
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key: kani-0.67.0-${{ runner.os }}
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# The same steps on every runner: Kani 0.67.0 unless that version is installed,
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# then its setup unless it is set up. Setup fetches the release bundle (CBMC and
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# the driver) and installs the pinned nightly, which the bundle's `toolchain`
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# links to in ~/.rustup. Run again, it fetches and installs both again, so it is
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# skipped when the bundle and its toolchain are both in place: on the macOS
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# host, which is set up, it would rewrite a live install. The cache holds the
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# bundle but not ~/.rustup, so a container sets up every time.
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- name: Install Kani
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shell: bash
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run: |
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set -euo pipefail
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export PATH="$HOME/.cargo/bin:$PATH"
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if [ "$(cargo kani --version 2>/dev/null || true)" != "cargo-kani 0.67.0" ]; then
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cargo install --locked kani-verifier --version 0.67.0
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fi
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k="$HOME/.kani/kani-0.67.0"
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if [ ! -x "$k/bin/kani-driver" ] || [ ! -x "$k/bin/cbmc" ] || [ ! -e "$k/toolchain/bin/rustc" ]; then
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cargo kani setup
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fi
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cargo kani --version
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- name: Verify the shard's harnesses
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working-directory: wai/wai-verify
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shell: bash
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run: |
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set -euo pipefail
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export PATH="$HOME/.cargo/bin:$PATH"
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# Every harness must verify. A failing harness is a real finding
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# about the decoder, so this job is allowed to be the thing that
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# blocks the merge.
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#
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# The harnesses are in the library. The crate's one binary, the
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# `wai-verify` tool, needs the `cli` feature, and a target whose
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# required features are off stops `cargo kani` from building any;
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# `--lib` selects the library alone.
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args=()
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for f in ${{ matrix.harness }}; do args+=(--harness "$f"); done
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cargo kani --lib "${args[@]}"
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