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Zoo Formal Proofs

Machine-checked and paper proofs for the Zoo Labs Foundation stack: per-LLM training chains, the original 2021 NFT Liquidity Protocol, homomorphic-DAO governance, and the 2026 adoption of Liquidity.io's Liquidity Protocol.

Provenance

  • 2021-10: Zoo whitepaper (Worring & Kelling) coined "NFT Liquidity Protocol" for collateral-backed NFT lending. See ~/work/zoo/papers/zoo-2021-original-whitepaper/.
  • 2025: Zoo Securities & DAO paper. See ~/work/zoo/papers/zoo-2025-securities-and-dao/.
  • 2026-04-20: Zoo formally adopts Liquidity.io's Liquidity Protocol with explicit name disambiguation; the 2021 trade-name remains valid.

Inventory

File Topic Status
zoo-per-llm-chain-soundness.tex per-LLM training chain: deterministic gradient ordering, attribution, reproducibility paper
zoo-nft-liquidity-protocol-soundness.tex 2021 NFT-LP: lending atomicity, sustainability tax flow, marketplace settlement paper
zoo-dao-governance-soundness.tex Homomorphic / holographic-consensus DAO: weighted voting, FHE-tallied secrecy, anti-Sybil paper
zoo-adopts-liquidity-protocol.tex 2026-04-20 adoption with composition theorem and trade-name disambiguation paper
lean/ Lean 4 sources (shared with luxfi/proofs/lean/) typecheck

Build

cd lean && lake build
tectonic zoo-per-llm-chain-soundness.tex
tectonic zoo-nft-liquidity-protocol-soundness.tex
tectonic zoo-dao-governance-soundness.tex
tectonic zoo-adopts-liquidity-protocol.tex

ZIP cross-references

See ~/work/zoo/zips/INDEX.md "Formal Proofs" section.

ZIP Proof
ZIP-0103 (NFT-LP) zoo-nft-liquidity-protocol-soundness.tex
ZIP-0206 (Collateral-Backed NFTs) zoo-nft-liquidity-protocol-soundness.tex
ZIP-0400-0418 (AI Assistant + per-LLM chains) zoo-per-llm-chain-soundness.tex
ZIP-0500-0570 (Sustainability + DAO) zoo-dao-governance-soundness.tex
ZIP-0103 / ZIP-0206 (composition with Liquidity Protocol) zoo-adopts-liquidity-protocol.tex

Chronology

See CHRONOLOGY.md.

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Formal verification proofs for Zoo Labs — proofs.zoo.ngo

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