mirror of
https://github.com/zooai/proofs.git
synced 2026-10-30 14:49:47 +00:00
The formal/lean library (53 files — a separate formalization from lean/) had ~110 type-check errors across 38 files and had never had its Mathlib oleans built. It now verifies at 0 errors under the project's strict setting: `lake env lean -D autoImplicit=false`, all 53 files. Fixed the same families as the sibling lean/ tree (the content is diverged, so each was repaired directly): - Crypto (BLS/FROST/Corona/Hybrid/threshold/FHE/Verkle): omega needs in-scope structure invariants; Nat-division bounds; noncomputable over opaque verifiers; Fin n index → Nat; deriving Inhabited. - DeFi (AMM/staking/fees/flashloan/HFT/router): constant-product invariant and fee bounds via Nat.div_mul_le_self / Nat.div_le_of_le_mul; dead tactics. - Protocol/Consensus/Warp/Bridge: BFT quorum theorems tightened to n=3f+1; pipe-projection parse fixes; split-after-simp; dead tactics; built the Consensus/Safety + ThresholdProof dependency oleans from clean source. - Network/Compute/Trust/Build: record-projection opacity (unfold+split), foldl-min monotonicity, BEq parse parens. - autoImplicit=false: declared previously auto-bound variables (explicit binders / variable blocks); the lakefile sets autoImplicit:=false. Integrity: no sorry/admit/native_decide; no proof-by-assumption axiom cheats. Statement changes only tightened false/trivial draft theorems to true invariants. Remaining axioms are trusted-base only (opaque crypto primitives, protocol modeling / honesty-static, build determinism). Co-authored-by: Hanzo Dev <[email protected]>
80 lines
2.7 KiB
Lean4
80 lines
2.7 KiB
Lean4
/-
|
|
Revocation Model
|
|
|
|
Revocations cancel vouches. A revocation must be cryptographically
|
|
signed by the revoker — otherwise anyone could DoS the trust graph.
|
|
|
|
Maps to:
|
|
- hanzo/iam: token revocation lists
|
|
- lux/node: validator key rotation and revocation
|
|
|
|
Properties:
|
|
- Revocations are signature-verified
|
|
- Revocation is monotone (adding revocations only removes trust paths)
|
|
- Revoked vouches have no authority
|
|
-/
|
|
|
|
import Mathlib.Data.Nat.Defs
|
|
import Mathlib.Data.List.Basic
|
|
import Mathlib.Tactic
|
|
|
|
namespace Trust.Revocation
|
|
|
|
/-- A revocation record -/
|
|
structure Revocation where
|
|
revoker : Nat -- who is revoking
|
|
revoked : Nat -- whose vouch is being revoked
|
|
timestamp : Nat -- when
|
|
sigValid : Bool -- has the signature been verified?
|
|
|
|
/-- A vouch reference (simplified) -/
|
|
structure VouchRef where
|
|
voucher : Nat
|
|
vouchee : Nat
|
|
|
|
/-- Check if a vouch is revoked -/
|
|
def isRevoked (revocations : List Revocation) (v : VouchRef) : Bool :=
|
|
revocations.any fun r =>
|
|
r.sigValid && r.revoker == v.voucher && r.revoked == v.vouchee
|
|
|
|
/-- Unsigned revocations are ignored -/
|
|
theorem unsigned_revocation_ignored (r : Revocation) (v : VouchRef)
|
|
(h : r.sigValid = false) :
|
|
¬(r.sigValid && r.revoker == v.voucher && r.revoked == v.vouchee) = true := by
|
|
simp [h]
|
|
|
|
/-- Adding a revocation can only increase the revoked set (monotone) -/
|
|
theorem revocation_monotone (revocations : List Revocation) (r : Revocation) (v : VouchRef)
|
|
(h : isRevoked revocations v = true) :
|
|
isRevoked (r :: revocations) v = true := by
|
|
simp [isRevoked, List.any_cons] at *
|
|
exact Or.inr h
|
|
|
|
/-- Empty revocation list revokes nothing -/
|
|
theorem empty_revokes_nothing (v : VouchRef) :
|
|
isRevoked [] v = false := rfl
|
|
|
|
/-- A valid revocation for the exact vouch works -/
|
|
theorem valid_revocation_works (revoker revoked ts : Nat) (v : VouchRef)
|
|
(h_revoker : (revoker == v.voucher) = true)
|
|
(h_revoked : (revoked == v.vouchee) = true) :
|
|
isRevoked [⟨revoker, revoked, ts, true⟩] v = true := by
|
|
simp [isRevoked, List.any_cons, List.any_nil, h_revoker, h_revoked]
|
|
|
|
/-- Filter: only valid (signed) revocations matter -/
|
|
def validRevocations (revocations : List Revocation) : List Revocation :=
|
|
revocations.filter (·.sigValid)
|
|
|
|
/-- Filtering preserves revocation status -/
|
|
theorem valid_filter_preserves (revocations : List Revocation) (v : VouchRef)
|
|
(h : isRevoked revocations v = true) :
|
|
isRevoked (validRevocations revocations) v = true := by
|
|
simp only [isRevoked, validRevocations, List.any_eq_true, List.mem_filter] at *
|
|
obtain ⟨r, hr_mem, hr_match⟩ := h
|
|
have hsig : r.sigValid = true := by
|
|
rw [Bool.and_eq_true, Bool.and_eq_true] at hr_match
|
|
exact hr_match.1.1
|
|
exact ⟨r, ⟨hr_mem, hsig⟩, hr_match⟩
|
|
|
|
end Trust.Revocation
|