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//! Lean proof-lane pilot regression guard (PMAT-904).
//!
//! The advisory `lake build` CI job (PMAT-903) is the *machine-checked*
//! source of truth for which `contracts/lean/*.lean` modules elaborate
//! clean — but it needs `lean`/`lake` in PATH, which the blocking Rust
//! `workspace-test` gate does NOT have. So a regression that silently
//! drops a discharged module out of `lakefile.lean`'s `roots` (shrinking
//! the proven pilot) would pass the Rust gate unnoticed until someone ran
//! the Lean job.
//!
//! This test is the cheap, lean-free guard for that: it parses the
//! lakefile `roots` and pins the pilot at the modules that elaborate today
//! (9 from PMAT-903 + 2 from PMAT-904 + FfiShellSubprocess/PMAT-907 +
//! CFloatArith/PMAT-912 + XpileFrontendTrait/PMAT-913 +
//! XlateRustFnToLeanThm/PMAT-914 + XlateLeanToRust/PMAT-915 +
//! Notation/PMAT-916 + Bashrs/PMAT-928 +
//! XlatePyBoolToRustBool/PMAT-935 + XlatePyListToVec/PMAT-936 +
//! FfiCpythonExt/PMAT-937 + CompileRustToPtxMma/PMAT-938 +
//! PyIntArith/PMAT-948 = 23 — the CAPSTONE that makes the ENTIRE
//! `contracts/lean/` substrate machine-checked; then the post-capstone NEW
//! compile contracts CompileRustToWgsl/950 + XlateRustToWasm/951 +
//! XlateShellToForjar/953 + CompileRustToSpirv/960 = 27), and asserts
//! the `PROVABILITY-INVENTORY.md` PILOT count stays in lockstep. It does
//! NOT re-prove anything — only that the bookkeeping the Lean job relies on
//! can't drift behind the Rust gate's back.
use std::fs;
use std::path::PathBuf;
fn lean_dir() -> PathBuf {
PathBuf::from(env!("CARGO_MANIFEST_DIR"))
.parent()
.and_then(|p| p.parent())
.expect("workspace root")
.join("contracts")
.join("lean")
}
/// Extract the module identifiers listed in the lakefile `roots := #[ … ]`
/// block. Each root is a line whose first non-whitespace char is a Lean
/// name-quote backtick, e.g. `` `XpileBackendTrait, -- comment``.
fn lakefile_roots() -> Vec<String> {
let src = fs::read_to_string(lean_dir().join("lakefile.lean")).expect("read lakefile.lean");
let mut in_roots = false;
let mut roots = Vec::new();
for line in src.lines() {
let trimmed = line.trim_start();
if trimmed.starts_with("roots :=") {
in_roots = true;
continue;
}
if !in_roots {
continue;
}
if trimmed.starts_with(']') {
break;
}
if let Some(rest) = trimmed.strip_prefix('`') {
// `Name, -- comment` → `Name`
let name: String = rest
.chars()
.take_while(|c| c.is_alphanumeric() || *c == '_')
.collect();
if !name.is_empty() {
roots.push(name);
}
}
}
roots
}
const EXPECTED_PILOT: &[&str] = &[
"CIntArith",
"PyFloatArith",
"XlatePyDictToHashmap",
"XlatePyStrToRustString",
"XpileContractBackendTrait",
"XlatePyClassToStruct",
"XlatePyOptionalToOption",
"XlatePySetToHashset",
"XlatePyTupleToRustTuple",
// PMAT-904 discharged (Sprint Day 5):
"XpileBackendTrait",
"XpileContractFrontendTrait",
// PMAT-907 (Sprint Day 8): new Shell-subprocess FFI contract joins at
// depth-1 (core-only STRUCTURE EXTENSIONALITY, same shape as PyFloatArith).
"FfiShellSubprocess",
// PMAT-912 (backlog slice): new C-float arithmetic contract joins at depth-1
// (core-only STRUCTURE EXTENSIONALITY, two bit-width models + ABI-distinctness
// lemma). Discharges the C-C-FLOAT-ARITH citation PMAT-910/911 deferred.
"CFloatArith",
// PMAT-913 (backlog slice): discharged the Layer-3 frontend trait — NOT a
// termination error but the PMAT-904 class (a missing-parens precedence bug
// collapsing a 4-way conjunction, and Mathlib-only `tauto` → core `decide`).
"XpileFrontendTrait",
// PMAT-914 (backlog slice): discharged the cheapest termination-led head.
// The "fail to show termination" was actually a NAME-SHADOWING bug:
// `def NonEmptyPreconditionList.val (n) := n.val` resolved `n.val` to itself
// (non-terminating recursion); the broken `.val` then poisoned every
// downstream `n.val` into the `n.property` / `Subtype.ext` mismatches. Fix =
// use the positional `.1` Subtype projection (`n.1`) in the body.
"XlateRustFnToLeanThm",
// PMAT-915 (backlog slice): discharged the next cheapest termination-led
// head — again the PMAT-914 NAME-SHADOWING class, not a real termination
// argument: `def WarningLineCount.val (w) := w.val` resolved `w.val` to
// itself (non-terminating self-call), poisoning the derived `DecidableEq`,
// the `.property` refinement theorems, and the `Subtype.ext` proof. Fix =
// positional `.1` projection in the body + an explicit `DecidableEq
// WarningLineCount` instance (`unfold` + `infer_instance`) for the two
// structures `deriving DecidableEq` over that opaque-`def` subtype field.
"XlateLeanToRust",
// PMAT-916 (backlog slice): discharged a 7-error head whose two faults are
// both ALREADY-ESTABLISHED classes (no new termination territory):
// (a) the PMAT-914/915 NAME-SHADOWING — `def NonEmptyDefinition.val (n) :=
// n.val` resolved `n.val` to itself (non-terminating self-call) →
// `fail to show termination`, poisoning the `.property`/`Subtype.ext`
// proofs; fix = positional `.1` projection in the body.
// (b) the PMAT-904/913 Mathlib-only `tauto` — `cases k <;> tauto` over the
// decidable `LatexDisplayKind` enum → core `cases k <;> decide`.
"Notation",
// PMAT-928 (backlog slice): discharged the `Bashrs` MIXED head — one
// already-known fault and one genuinely new (the inventory had flagged it):
// (a) the PMAT-914/915/916 NAME-SHADOWING — `def SuccessfulOutcome.val (s)
// := s.val` resolved `s.val` to itself (non-terminating self-call) →
// `:213 fail to show termination`, poisoning the Gold equality, the
// `.property` witnesses, and the `Subtype.ext` proof; fix = positional
// `.1` projection in the body.
// (b) NEW — a genuine Mathlib gap (not a name-shadow): the Int-sign Diamond
// used Mathlib's `|·|` notation (`:683` parse error) + `abs_nonneg` +
// `simp`; restated over CORE `Int.natAbs` (`Nat.zero_le` for
// non-negativity, `rw`+`rfl` for zero-abs-of-zero) + core
// `Int.lt_trichotomy`. Same Int-sign Diamond claim, no `import Mathlib`.
"Bashrs",
// PMAT-935 (R6 backlog slice): the NEW pure-`bool` translation contract joins
// the pilot at depth-1 — a core-only, import-free `PyBool` single-truth-flag
// STRUCTURE EXTENSIONALITY proof (same shape as PyFloatArith / the
// str/list/set/tuple/Optional structural Diamonds). This is a NEW contract
// (not a discharge of a previously-excluded module), so the pilot grows
// 18 → 19 and closes the last uncited core scalar.
"XlatePyBoolToRustBool",
// PMAT-936 (backlog slice): discharged the `XlatePyListToVec` MIXED head
// (8 errors), exactly as the inventory flagged — four sound classes, no new
// termination territory:
// (a) the PMAT-914/915/916/928 NAME-SHADOWING — `def
// NonEmptyHomogeneousList.val (n) := n.val` resolved `n.val` to itself
// (non-terminating self-call) → `:593 fail to show termination`,
// poisoning the `:632` `n.property` witness and the `:1257`
// `Subtype.ext` proof; fix = positional `.1` projection in the body.
// (b) `:796` — `simp [List.length_append]` with no preceding `unfold` could
// not fold through the `def` → reused the discharged Platinum companion
// `lower_length_homomorphism_platinum`.
// (c) `:980` — core `List.length_reverse` now takes the list explicitly →
// `List.length_reverse l.elems` (CORE lemma, not Mathlib).
// (d) `:1359` — `Array.toList_length` is not a constant; core lemma is
// `Array.length_toList` → `exact Array.length_toList`. Layer-2
// Python-list → Rust-Vec contract now machine-checked. Pilot 19 → 20.
"XlatePyListToVec",
// PMAT-937 (backlog slice): discharged the `FfiCpythonExt` head — the
// Layer-4 hybrid CPython-extension contract, cheapest of the three
// remaining non-elaborating modules by `error:` count (20). FOUR sound
// classes, no new termination territory:
// (a) the PMAT-914/915/916/928/936 NAME-SHADOWING — `def
// BoundedRefcountDelta.val (b) := b.val` resolved `b.val` to itself
// (non-terminating self-call) → `:979 fail to show termination`,
// poisoning the `:987`/`:993` `deriving DecidableEq`, the `:1037`
// `.property`, the `:1750` `Subtype.ext`, and the `:1786`-`:1788`
// canonical `rfl`/`decide`s; fix = positional `.1` projection in the
// body + an explicit `DecidableEq BoundedRefcountDelta` instance.
// (b) `:1235`/`:1236` — Mathlib-only `use` tactic → core `refine ⟨_, ?_⟩`.
// (c) `:1466` — Mathlib `|·|`/`lt_trichotomy`/`abs_of_pos`/`Int.sign_mul_abs`
// restated over CORE `Int.natAbs` (PMAT-928 lesson).
// (d) `:1808`+ — `lift_ffi_call_bronze_to_silver` was annotated the wrong
// structure (`FfiCallSilver`, which lacks `symbol`/…) → retargeted to
// `FfiCallStructuredSilver`. Layer-4 contract now machine-checked.
// Pilot 20 → 21; KNOWN-INCOMPLETE 3 → 2.
"FfiCpythonExt",
// PMAT-938 (backlog slice): discharged the `CompileRustToPtxMma` head — the
// DEEPEST module (20 stacked Diamond categories, depth-3..20), and the
// inventory's "38 errors" was almost ONE cascading root fault. FIVE sound
// classes, no new termination territory:
// (a) the PMAT-914/915/916/928/936/937 NAME-SHADOWING — `def BoundedSmem.val
// (b) := b.val` resolved `b.val` to itself (non-terminating self-call) →
// `:240 fail to show termination`, and because it sits under 20 Diamonds
// the broken `.val` poisoned EVERY downstream `.val`/`.property`/
// `Subtype.ext`/derived-`DecidableEq` (the bulk of the 38); fix =
// positional `.1` projection in the body + an explicit `DecidableEq
// BoundedSmem` instance (`unfold` + `infer_instance`).
// (b) two `omega` heads on NAMESPACED `Nat.min`/`Nat.max` (opaque to omega
// v4.15.0) — +/max·min distributivity & max/min monotonicity → core
// `Nat.add_{max,min}_add_{left,right}` + `Nat.{max_le,le_min,le_max_*,
// min_le_*,le_trans}`.
// (c) Mathlib-only absorption `Nat.max_min_self`/`Nat.min_max_self` →
// `Nat.le_antisymm` over core lattice primitives.
// (d) Mathlib-name gaps — `Nat.eq_or_ne` → `omega`; `pow_zero`/`pow_succ`/
// `pow_add`/`one_pow` → `Nat.`-namespaced; `Nat.one_le_pow` →
// `Nat.pow_le_pow_left` + `Nat.one_pow`.
// (e) a LATENT STATEMENT bug — the `mod is *` homomorphism clause wrote
// `a%2 * b%2 % 2` (parses `((a%2)*b)%2`); reparenthesized to the genuine
// ring-hom `((a%2)*(b%2))%2` that `Nat.mul_mod` proves. Layer-5 Rust→PTX
// GPU-compile contract now machine-checked. Pilot 21 → 22;
// KNOWN-INCOMPLETE 2 → 1 (only PyIntArith 45 remains).
"CompileRustToPtxMma",
// PMAT-948 (CAPSTONE — the LAST non-elaborating module): discharged
// `PyIntArith` (45 errors). The `:892 fail to show termination` first-error
// was — for the NINTH+ time — the NAME-SHADOW class, NOT a genuine missing
// measure: `def PyIntFast.val (p) := p.val` self-resolved to itself,
// cascading into the `:923`/`:945` `rfl`s + the `:931` `.property`
// mismatch → positional `.1` clears all four. The remaining ~41 were ALL
// cheap classes already exhausted across PMAT-904..938: Mathlib lemma-name
// gaps → core (`pow_*` → `Int.pow_*` + a hand-rolled `int_pow_add`;
// `Nat.land_comm` → core `Nat.and_comm`; `Int.lt_asymm`/`one_ne_zero`/
// min-max-distrib/`dvd_trans`/`Nat.cast_*`/`Int.toNat_*` → `omega`/`decide`/
// `Int.*`); Mathlib TACTICS `ring`/`nlinarith` → explicit core
// distributivity + `Int.mul_nonneg`/`Int.mul_pos`; the `|·|` abs NOTATION
// (undefined in core) restated over `Int.natAbs` (PMAT-928/937); and a
// latent PARENTHESIZATION bug `a%2*b%2%2` → `(a%2)*(b%2)%2` (PMAT-938
// class). The ONE genuinely new piece — the Bézout identity
// (`Int.gcdA`/`gcdB`/`gcd_eq_gcd_ab` are Mathlib-only, verified absent from
// the whole toolchain `src`) — was NOT weakened: conjunct (d) is restated
// as the EXISTENTIAL Bézout `∃ x y, gcd a b = a*x + b*y` (the genuine
// content; Mathlib's gcdA/gcdB are one witness) and PROVED core-only via
// `Nat.gcd.induction` (the real extended-Euclid structural recursion), with
// universality (c) via `Int.natAbs`/`Nat.dvd_gcd`. No `sorry`/`axiom`/
// `import Mathlib`. Pilot 22 → 23; KNOWN-INCOMPLETE 1 → 0 — the ENTIRE
// `contracts/lean/` substrate is now machine-checked.
"PyIntArith",
// PMAT-950 (backlog slice): the NEW WGSL compile contract joins the pilot at
// depth-1 — a core-only, import-free STRUCTURE EXTENSIONALITY proof (an
// emitted WGSL compute kernel is determined by its structural signature:
// entry / workgroup_size / ordered bindings), the proof-lane half of the §29
// cross-vendor wgpu DiffExec witness. NEW contract, so the pilot grows
// 23 → 24; the entire `contracts/lean/` substrate stays machine-checked.
"CompileRustToWgsl",
// PMAT-951 (native WASM emit): the NEW WASM compile contract joins the pilot
// at depth-1 — a core-only, import-free STRUCTURE EXTENSIONALITY proof (an
// emitted WAT function is determined by its structural signature: name /
// ordered param value-types / result value-type), the proof-lane half of
// native WASM emission (the EMIT direction of first-class bidirectional
// WASM). NEW contract, so the pilot grows 24 → 25; the entire
// `contracts/lean/` substrate stays machine-checked.
"XlateRustToWasm",
// PMAT-953 (forjar.yaml backend-only): the NEW forjar compile contract joins
// the pilot at depth-1 — a core-only, import-free STRUCTURE EXTENSIONALITY
// proof (an emitted forjar resource is determined by its structural
// signature: id / kind ∈ {file,task,cron} / machine), the proof-lane half of
// the BACKEND-ONLY forjar integration (a SHELL-origin command sequence →
// forjar `type: file`/`type: task` resources, NOT merge/federate);
// apply-convergence is forjar's own tier, handed off at the YAML boundary.
// NEW contract, so the pilot grows 25 → 26; the entire `contracts/lean/`
// substrate stays machine-checked.
"XlateShellToForjar",
// PMAT-960 (SPIR-V backend): the NEW SPIR-V compile contract joins the pilot
// at depth-1 — a core-only, import-free STRUCTURE EXTENSIONALITY proof (an
// emitted SPIR-V module is determined by its structural signature: magic /
// version / idBound / ordered entryPoints), the proof-lane half of the native
// Vulkan IR lane (xpile-spirv-codegen REUSES the WGSL emission and compiles it
// WGSL→naga→spv; the §29 witness RUNS the emitted SPIR-V on a real wgpu Vulkan
// adapter — the SPIR-V sibling of the WGSL wgpu witness). NEW contract, so the
// pilot grows 26 → 27; the entire `contracts/lean/` substrate stays
// machine-checked.
"CompileRustToSpirv",
// PMAT-993 (WASM bump heap, PMAT-986 slice 2): the NEW WASM-heap contract
// joins the pilot at depth-1 — a core-only, import-free STRUCTURE
// EXTENSIONALITY proof (a bump-heap allocation is determined by its
// structural (base, size) signature) plus an `align8` idempotence lemma,
// the proof-lane half of string CONSTRUCTION on the WASM emit lane (concat
// `a + b` / `chr(n)` / a `str` return materialise a length-prefixed string
// via `$__alloc`; the WABT witness reads the constructed string back and
// value-matches CPython). A strict extension of C-COMPILE-RUST-TO-WASM.
// NEW contract, so the pilot grows 27 → 28; the entire `contracts/lean/`
// substrate stays machine-checked.
"WasmHeap",
// PMAT-1120: C-PY-EXCEPT-ALLOWLIST — the try/except dispatch contract.
// Core-only allowlist structure-extensionality + no-swallow re-raise.
"PyExceptAllowlist",
// PMAT-1122: C-PY-GENERATOR-EAGER — eager generator materialization
// faithfulness (core-Lean foldl induction).
"PyGeneratorEager",
// PMAT-1124: C-PY-FILE-IO-ROUNDTRIP — whole-file read/write/append
// round-trip semantics (core-Lean String-content model).
"PyFileIoRoundtrip",
// PMAT-1131: C-PY-CONTEXT-MANAGER-EXIT — the with-statement finally
// guarantee (__exit__ runs on every outcome; core-Lean decide).
"PyContextManagerExit",
// PMAT-1145/1146: the last two module-level constructs (const + enum)
// translation contracts — closes Pillar A's "every construct cited" gap.
"ConstTranslation",
"EnumTranslation",
// PMAT-956 (provable-model-as-code): the least-squares model contract. Core
// structure-extensionality Diamond over the emitted coefficient vector; the
// deep OLS-uniqueness proof lives in the separate Mathlib lane
// (contracts/lean-models/), verified by the `lean-models` CI job.
"OlsModelUniqueness",
];
#[test]
fn lakefile_pilot_matches_discharged_set() {
let roots = lakefile_roots();
for module in EXPECTED_PILOT {
assert!(
roots.iter().any(|r| r == module),
"lakefile.lean roots is missing pilot module `{module}` — a discharged \
proof must stay in the advisory `lake build` set. roots = {roots:?}"
);
}
assert_eq!(
roots.len(),
EXPECTED_PILOT.len(),
"lakefile.lean roots count drifted from the documented pilot \
({} modules). Update EXPECTED_PILOT and PROVABILITY-INVENTORY.md together. \
roots = {roots:?}",
EXPECTED_PILOT.len()
);
}
#[test]
fn pmat_904_files_are_in_the_pilot() {
// The two files PMAT-904 specifically discharged (the cheapest real
// elaboration errors: Mathlib-only `tauto`, and `Inhabited`/`rw`-through-`def`).
let roots = lakefile_roots();
for module in ["XpileBackendTrait", "XpileContractFrontendTrait"] {
assert!(
roots.contains(&module.to_string()),
"PMAT-904 discharged `{module}`; it must be a lakefile root"
);
}
}
#[test]
fn inventory_pilot_count_in_sync_with_lakefile() {
let inventory = fs::read_to_string(lean_dir().join("PROVABILITY-INVENTORY.md"))
.expect("read PROVABILITY-INVENTORY.md");
let n = lakefile_roots().len();
let needle = format!("PILOT — machine-checked ({n} modules");
assert!(
inventory.contains(&needle),
"PROVABILITY-INVENTORY.md PILOT header must say '{needle}' to match the \
{n} lakefile roots — doc and lakefile drifted apart"
);
}