mirror of
https://github.com/saymrwulf/pasta-pallas-verified.git
synced 2026-09-05 20:10:31 +00:00
61 lines
2.6 KiB
Markdown
61 lines
2.6 KiB
Markdown
# pasta-pallas-verified
|
||
|
||
Formal verification of Pallas (Pasta curve cycle, Zcash Halo 2) arithmetic in
|
||
**zcash/pasta_curves**, built as a coherent proof pyramid in Lean 4 via the
|
||
Charon/Aeneas transpilation pipeline:
|
||
|
||
```
|
||
┌────────────────────────────────────┐
|
||
│ Scalar multiplication │ [n]P correct over the group
|
||
├────────────────────────────────────┤
|
||
│ Group law (short Weierstrass) │ point ops = curve group law
|
||
├────────────────────────────────────┤
|
||
│ Field 𝔽_p (Montgomery form) │ 4×64-limb Fp ops correct mod p
|
||
└────────────────────────────────────┘
|
||
p = 0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001
|
||
```
|
||
|
||
Every theorem is stated about the **actual Aeneas-transpiled Rust code** from
|
||
`src/fields/fp.rs` / `src/curves.rs`. There are **no bridge axioms**: the
|
||
correctness of add/sub/neg/mul/square/montgomery_reduce/invert is *proven*,
|
||
not assumed. (A previous attempt at this target axiomatized exactly those
|
||
statements; this repository exists to do it properly.)
|
||
|
||
## Layer status
|
||
|
||
| Layer | Certificate | Status | Axioms of certificate |
|
||
|-------|-------------|--------|-----------------------|
|
||
| Field 𝔽_p (Montgomery) | `fieldImplementation` | ⏳ in progress | — |
|
||
| Group law (Pallas) | `curveImplementation` | ⏳ in progress | — |
|
||
| Scalar multiplication | `scalarMulCorrect` | ⏳ in progress | — |
|
||
|
||
Status legend: ✅ proven & axiom-audited · ⏳ in progress · ❌ not started.
|
||
This table is updated only when `verification/check.sh` passes for the layer.
|
||
|
||
## Source
|
||
|
||
- **Upstream**: [zcash/pasta_curves](https://github.com/zcash/pasta_curves), commit `fe08536`
|
||
- **Pinned/patched source**: [saymrwulf/pasta_curves-source](https://github.com/saymrwulf/pasta_curves-source), commit `7f32788`
|
||
- Representation: 4×64-bit limbs, Montgomery form (a·R mod p, R = 2²⁵⁶)
|
||
|
||
## Toolchain (pinned)
|
||
|
||
| Component | Version |
|
||
|-----------|---------|
|
||
| Aeneas | `bf13c42e` |
|
||
| Charon | `9dd7f23c` |
|
||
| Lean | `v4.30.0-rc2` |
|
||
| OCaml | `5.3.0` |
|
||
|
||
## Reproducing
|
||
|
||
```bash
|
||
source ~/aeneas-toolchain/env.sh
|
||
cd verification
|
||
./extract.sh # Rust → LLBC → Lean (regenerates gen/)
|
||
./check.sh # compiles EVERY shipped file + axiom-audits EVERY certificate
|
||
```
|
||
|
||
## Trusted base
|
||
|
||
See [TRUSTED-BASE.md](TRUSTED-BASE.md).
|