Formally Verified Infrastructure
for DeFi
Not benchmarks. Not audits. Mathematical proofs. AAAA-Nexus provides formally verified APIs for DeFi protocols — randomness, risk scoring, MEV protection, and governance trust, all with cryptographic guarantees your smart contracts can rely on.
On-chain verifiable randomness for games and lotteries
Every draw ships a cryptographic proof. Players can verify any result independently — at any time, 30-day retention. Built on HMAC-SHA256 VRF with on-chain proof format compatible with EVM contracts.
- ✓ HMAC-SHA256 VRF — same guarantees as VeriRand
- ✓ Configurable range for any lottery or game
- ✓ draw_id verifiable by players independently
- ✓ 0.5% of pot — $25 on a $5K pot, $250 on a $50K pot. Mathematical certainty, not a flat guess.
- ✓ Try 3 draws free, no API key required
// Request a verifiable random draw { "game_id": "lottery-season-4", "round": 42, "range_max": 1000, "pot_value_usd": 5000 } // Response: proof verifiable by any player { "draw_id": "vrf-3a9f1c2d", "result": 734, "vrf_output": "a8f3c1...", "verify_endpoint": "/v1/vrf/verify-draw" }
// Risk score a lending position { "protocol": "aave", "collateral_usd": 100000, "debt_usd": 65000, "risk_tolerance": "medium" } // Response: formally bounded risk { "risk_score": 0.31, "liquidation_prob_24h": 0.04, "max_drawdown_bound": 0.125, "theorem": "DFP-200-DrawdownBound" }
Formally bounded risk scoring for lending protocols
Certified max drawdown bound: 12.5%. Compatible with Uniswap v3, Aave, and Compound. Every risk score ships with a formal proof — not a heuristic, not an estimate, a theorem.
- ✓ Certified max drawdown bound: 12.5%
- ✓ 24h liquidation probability scoring
- ✓ Optimal LTV and leverage bounds
- ✓ Flat $0.08/call — formally bounded max drawdown ≤12.5%, error ≤0.003. Proof, not a heuristic.
- ✓ Try 3 calls free, no API key required
MEV protection for DEX aggregators
Wrap your transaction bundles with timing and ordering protection. Formally certified timing window [50, 250]ms — MEV-100-TimingBound. Protect sandwich attacks, backrunning, and arbitrage extraction.
- ✓ Certified timing bound: [50, 250]ms window
- ✓ 60–90% MEV protection rate
- ✓ Cryptographic timing commitment per bundle
- ✓ 2% of MEV saved — you only pay when we protect you. $0 if nothing is at risk.
- ✓ Try 3 calls free, no API key required
// Protect a transaction bundle { "tx_bundle": ["0x...", "0x..."], "max_mev_usd": 500, "strategy": "sandwich" } // Response: timing commitment + savings { "bundle_id": "mev-4f7a2c1b", "delay_window_ms": 148, "estimated_savings_usd": 387, "theorem": "MEV-100-TimingBound" }
Formally optimal liquidity parameters for Uniswap v3
Proven-optimal tick range, rebalance frequency, and fee tier selection. Every recommendation ships with DFP-100-OptimalTick and DFP-101-AlphaConvergence theorems. Tracks alpha in escrow — fee only charged on measurable outperformance.
- ✓ Optimal tick range with formal proof
- ✓ 24h volatility-adjusted rebalance schedule
- ✓ Best fee tier for your pool + volume profile
- ✓ 0.2% of position size — scales with TVL. Mathematical optimality, not a heuristic guess.
- ✓ Try 3 calls free, no API key required
// Optimize LP position parameters { "pool": "ETH/USDC-0.05%", "tvl": 500000, "risk_tolerance": "medium" } // Response: proven-optimal params { "optimal_tick_lower": -887272, "optimal_tick_upper": 887272, "rebalance_hours": 12, "recommended_fee_tier": "0.05%", "theorem": "DFP-100-OptimalTick", "alpha_fee_pct": 2.0 }
// Verify an oracle price feed { "oracle_address": "0x5f4ec3df...", "reported_price": 3421.50, "tvl_at_risk": 2000000 } // Response: manipulation proof { "manipulation_prob": 0.04, "confidence": 0.96, "safe_to_use": true, "theorem": "OGD-100-ManipulationBound", "tvl_fee_charged": "0.1% of TVL" }
Detect price oracle manipulation before it drains your protocol
Flash loan and TWAP manipulation attacks cost DeFi $1.3B in 2023. OGD-100-ManipulationBound theorem formally certifies oracle integrity before your protocol acts on the price. Fee: 0.1% of TVL at risk — align incentives with protection value.
- ✓ Flash loan attack probability score
- ✓ TWAP deviation bounds certified
- ✓ Compatible with Chainlink, Uniswap v3 TWAP
- ✓ 0.1% of TVL at risk — $100 on $100K TVL, $2,000 on $2M. Cheaper than one exploit by orders of magnitude.
- ✓ Try 3 calls free, no API key required
Predict and prevent cascading liquidations
Pre-liquidation health check with formally certified safety margin. LQS-100-LiquidationBound theorem gives lenders and borrowers advance notice before positions are at risk. Fee: 1% of collateral saved — pay only when protection triggers.
- ✓ Health factor with certified lower bound
- ✓ Time-to-liquidation estimate at current price
- ✓ Recommended collateral top-up amount
- ✓ 1% of net equity — $100 on $10K protected, $500 on $50K. One cascade saved pays for thousands of checks.
- ✓ Try 3 calls free, no API key required
// Check liquidation risk { "collateral_usd": 150000, "debt_usd": 95000, "protocol": "aave-v3" } // Response: safety margin + theorem { "health_factor": 1.47, "safe": true, "hours_to_liquidation": 72, "recommended_topup_usd": 0, "theorem": "LQS-100-LiquidationBound" }
// Verify a cross-chain bridge transfer { "bridge_id": "stargate", "source_chain": "ethereum", "dest_chain": "base", "amount": 50000, "token": "USDC" } // Response: integrity proof { "safe_to_bridge": true, "composite_risk": 0.12, "relay_reliability": 0.94, "theorem": "BRP-100-BridgeIntegrity" }
Verify cross-chain bridge integrity before transferring
Bridge exploits account for $2.5B in losses. BRP-100-BridgeIntegrity theorem formally scores relay reliability, bridge audit quality, and liquidity depth before you commit. $0.08/verification — far cheaper than one exploit.
- ✓ Composite risk score with certified bound
- ✓ Bridge audit score, relay reliability, liquidity depth
- ✓ Size-aware risk — higher amounts flagged
- ✓ Try 3 calls free, no API key required
Smart contract audit certificate
Formal vulnerability analysis against 30 known attack patterns. Machine-checkable audit certificate at $0.15/contract — a traditional audit costs $50K+.
// POST /v1/defi/contract-audit { "contract_id": "0xabc...", "contract_type": "amm" } // Response { "audit_score": 0.91, "vulnerabilities": [], "theorem": "CVR-100-AuditBound" }
Formally optimal yield strategy
Optimal allocation across yield sources with YLD-100-YieldConvergence theorem. 2% alpha fee — only charged on measurable outperformance vs baseline.
// POST /v1/defi/yield-optimize { "principal_usd": 100000, "risk_tolerance": "medium" } // Response { "optimal_apy": 8.4, "allocation": { "aave": 0.6, "compound": 0.4 }, "theorem": "YLD-100-YieldConvergence" }
// Trust score a governance participant { "agent_id": "did:key:z6Mkm..." } // Response: bounded trust with history { "trust_score": 0.847, "tier": "gold", "theorem": "TCM-100-BoundedMonotonicity", "score_bounds": [0.18, 0.99] }
Trust oracle for on-chain governance
Weight governance votes with formally verified trust scores. Every score is in [0.0, 1.0] with certified monotonicity — TCM-100-BoundedMonotonicity theorem. Sybil-resistant, epoch-tracked, and auditable.
- ✓ 5-tier classification: platinum → untrusted
- ✓ TCM-100-BoundedMonotonicity — score ceiling proved
- ✓ Full score history with per-epoch deltas
- ✓ <15ms response — no governance latency
- ✓ Try 3 calls free, no API key required
Formally verified primitives.
Proofs, not promises.
Tell us your use case and we'll scope an integration plan. Custom endpoints, dedicated rate limits, and white-glove onboarding available for protocols.
3 free calls on every endpoint · Fees scale with value at stake · Mathematical truth, not probabilistic opinion · atomadic@proton.me