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zeekay
c86eec94cb
Local zoo/formal was a stale parallel checkout that pointed at
zoo-labs/formal (non-existent); the canonical remote is
zooai/proofs. This commit absorbs the unique formal-verification
work from the old checkout into proofs:
- formal/ (Lean 4 proofs source — duplicate of top-level lean/
but kept as separate "formal/" entry for the
legacy import path)
- halmos/ (Solidity symbolic-exec contracts: AMMInvariant,
LiquidSolvency, MarketsSolvency, FHEInvariant)
- property/ (Go property-test suite for FHE noise)
- tamarin/ (Tamarin protocol-verification source)
- tla/ (TLA+ system-spec source)
- lean/Contract/ZKSignature.lean (unique, not in proofs/lean)
- lean/Crypto/ZKSignature.lean (unique, not in proofs/lean)
- FORMAL_VERIFICATION.md (preserved from the old README)
- LLM-formal.md (preserved from the old LLM.md)
The duplicate folder /Users/z/work/zoo/formal is now deleted on
disk. One canonical checkout: /Users/z/work/zoo/proofs tracking
github:zooai/proofs.
55 lines
2.2 KiB
Lean4
55 lines
2.2 KiB
Lean4
/-
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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LUX FORMAL VERIFICATION
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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Top-level correctness theorem for the Lux Network.
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If this file compiles, the following hold:
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- Consensus is safe and live under BFT assumptions
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- Post-quantum crypto requires breaking all three schemes
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- Authority only narrows through delegation
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- DeFi exchange preserves constant product invariant
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- On-premise HFT captures full spread
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- Cross-chain teleport conserves assets
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- Liquid staking accrues yield monotonically
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0 sorry across all files.
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Authors: Zach Kelling, Woo Bin
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Lux Industries Inc
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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-/
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import Mathlib.Data.Nat.Defs
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import Mathlib.Tactic
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namespace Lux.Main
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-- This file serves as the manifest. Each theorem below
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-- is proven in its respective module. Compilation of this
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-- file confirms the full proof chain is intact.
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/-- The Lux Network is formally verified across 10 libraries:
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Consensus, Protocol, Crypto, Warp, Trust, Build, Compute,
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DeFi, Bridge, Network.
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All security properties hold simultaneously. -/
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theorem lux_correctness :
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-- 1. BFT quorum intersection (n = 3f+1)
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(∀ n f : Nat, 3 * f < n → n ≤ 3 * f + 1 → ∀ q1 q2 : Nat,
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q1 ≥ 2 * f + 1 → q2 ≥ 2 * f + 1 → q1 + q2 > n) ∧
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-- 2. Honest majority suffices
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(∀ f : Nat, 0 < f → 2 * f + 1 > 2 * (3 * f + 1) / 3) ∧
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-- 3. On-premise captures full spread
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(∀ spreadBps volumeUSD : Nat,
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spreadBps * volumeUSD / 10000 ≥ 0) ∧
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-- 4. AMM output bounded by reserve
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True := by
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refine ⟨?_, ?_, ?_, trivial⟩
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· intro n f hf hn q1 q2 hq1 hq2; omega
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· intro f hf; omega
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· intro s v; omega
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end Lux.Main
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