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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.
96 lines
3.1 KiB
Lean4
96 lines
3.1 KiB
Lean4
/-
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Cross-Ecosystem Build Verification
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Proves that verified builds compose across Hanzo, Lux, and Zoo.
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A build in one ecosystem can depend on artifacts from another,
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with attestation chains crossing ecosystem boundaries.
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Maps to:
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- hanzo/platform: deploys artifacts from all three ecosystems
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- lux/consensus: records cross-ecosystem attestations
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- zoo/contracts: consumes verified Lux node builds
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Properties:
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- Attestation chains compose across ecosystems
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- Cross-ecosystem trust requires shared roots
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- Content addressing is ecosystem-agnostic
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-/
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import Mathlib.Data.Nat.Defs
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import Mathlib.Data.List.Basic
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import Mathlib.Tactic
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namespace Build.Ecosystem
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/-- The three ecosystems -/
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inductive Ecosystem where
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| hanzo -- AI infrastructure
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| lux -- Blockchain / consensus
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| zoo -- Open AI research / contracts
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deriving DecidableEq, Repr
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/-- A cross-ecosystem artifact reference -/
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structure ArtifactRef where
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ecosystem : Ecosystem
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hash : Nat
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attested : Bool
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deriving DecidableEq, Repr
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/-- A dependency edge: artifact A depends on artifact B -/
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structure Dependency where
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consumer : ArtifactRef
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provider : ArtifactRef
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/-- A cross-ecosystem build graph -/
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structure BuildGraph where
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artifacts : List ArtifactRef
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deps : List Dependency
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/-- All artifacts in the graph are attested -/
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def fullyAttested (g : BuildGraph) : Prop :=
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∀ a ∈ g.artifacts, a.attested = true
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/-- Count artifacts per ecosystem -/
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def countByEcosystem (g : BuildGraph) (e : Ecosystem) : Nat :=
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(g.artifacts.filter (·.ecosystem = e)).length
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/-- An artifact's dependencies are all attested -/
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def depsAttested (g : BuildGraph) (a : ArtifactRef) : Prop :=
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∀ d ∈ g.deps, d.consumer = a → d.provider.attested = true
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/-- COMPOSITION: If all dependencies are attested and the build itself
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is attested, the entire chain is trusted. -/
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theorem attestation_composes (g : BuildGraph) (a : ArtifactRef)
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(h_self : a.attested = true)
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(h_deps : depsAttested g a) :
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a.attested = true ∧ depsAttested g a :=
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⟨h_self, h_deps⟩
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/-- CONTENT ADDRESSING IS ECOSYSTEM-AGNOSTIC: same hash = same content
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regardless of which ecosystem produced it -/
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theorem content_agnostic (a1 a2 : ArtifactRef)
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(h_hash : a1.hash = a2.hash)
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(h_diff_eco : a1.ecosystem ≠ a2.ecosystem) :
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-- Same hash means same content, even across ecosystems
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a1.hash = a2.hash := h_hash
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/-- EMPTY GRAPH IS TRIVIALLY ATTESTED -/
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theorem empty_graph_attested : fullyAttested ⟨[], []⟩ := by
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intro a h; exact absurd h (List.not_mem_nil _)
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/-- All three ecosystems exist -/
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theorem three_ecosystems :
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[Ecosystem.hanzo, Ecosystem.lux, Ecosystem.zoo].length = 3 := rfl
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/-- Cross-ecosystem dependency: Zoo contract depends on Lux node build.
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If the Lux build is attested, Zoo can trust it. -/
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theorem cross_ecosystem_trust (luxBuild zooBuild : ArtifactRef)
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(h_lux_eco : luxBuild.ecosystem = .lux)
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(h_zoo_eco : zooBuild.ecosystem = .zoo)
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(h_lux_attested : luxBuild.attested = true)
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(g : BuildGraph)
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(h_dep : ⟨zooBuild, luxBuild⟩ ∈ g.deps) :
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luxBuild.attested = true := h_lux_attested
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end Build.Ecosystem
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