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Bylines, paper authorship, correspondence addresses and the founder blurb under each post named an individual. They name the organisation that published the work instead: the brand on posts and pages, the research byline on papers, and research@ in place of a personal address. Both are what these repositories already used elsewhere — nothing new was coined. Co-authors are untouched. Where a paper named someone else alongside, they stay named; only the one byline changed. Bibliography entries, running heads, PDF metadata and affiliations move with it, so a citation still resolves to whoever the cited paper names. Sample and fixture data uses the placeholder name these tests already use elsewhere, so no assertion changed meaning.
58 lines
2.4 KiB
Lean4
58 lines
2.4 KiB
Lean4
/-
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LUX FORMAL VERIFICATION
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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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Structural axioms: topo_equivalence (bubble-sort induction over DAG),
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no_double_spend_axiom (requires Accept precondition model).
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sequential_worldview_preserved is now a theorem (proved via topo_equivalence).
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Crypto axioms (verify, batch_sound, fheAdd) model external hardness assumptions.
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Authors: Lux Research, Woo Bin
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Lux Industries Inc
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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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