Formal Proofs
10 proofs · 30 theorems
Machine-checked proofs for decentralized AI research, DeSci governance, and conservation protocols.
Formal proof that the Proof of AI consensus mechanism satisfies safety and liveness under the assumed compute-attestation fault model. Includes quorum intersection for GPU-attested validators and finality guarantees.
Formal verification of the DSO governance voting mechanism proving that no conflicting proposals can pass simultaneously, quorum thresholds are respected, and vote delegation preserves total weight.
Proof that the experience token ledger satisfies conservation laws: total supply equals sum of all balances, minting is bounded by attestation events, and no experience can be created without verified contribution.
Formal proof that the federated learning protocol for wildlife classification models converges under heterogeneous data distributions. Includes bounded gradient divergence and differential privacy guarantees.
Machine-checked bounds on species classification model accuracy using certified robustness techniques. Proves that adversarial perturbations within epsilon-ball cannot change predictions beyond a quantified error rate.
Symbolic verification of conservation impact bond smart contracts proving that payout calculations are correct given oracle-attested outcomes, bond pricing respects no-arbitrage constraints, and early termination preserves principal.
Formal proof that NFT-bound AI agent permissions satisfy access control lattice properties: ownership transfer correctly updates capability sets, delegation is transitive and revocable, and no agent can escalate beyond its grant.
Proof that the carbon credit issuance protocol satisfies strict conservation: credits cannot be double-counted, retirement is irreversible, and total issued credits are bounded by verified sequestration data from oracle attestations.
Formal verification of the data commons access control system proving that the permission lattice forms a valid partial order, access grants are monotone, and revocation propagates correctly through the delegation graph.
Proof that the satellite ecology data pipeline preserves integrity from capture to on-chain commitment. Includes Merkle proof verification for tiled imagery, timestamp monotonicity, and tamper-evidence for observation records.