Active services backed by formally verified Lean 4 mathematics with machine-checkable proof artifacts.
Verified Program Synthesis
NEW LiveGenerate provably correct executable code from formally verified Lean 4 theorems. Submit a specification or desired behavior, and the system finds relevant verified proof nuggets, synthesizes a program using a portfolio of five strategy arms (constraint-driven SyGuS, MCTS composition search, equality-saturation rewrites, evolutionary heuristic search, and Bayesian optimization), then packages the result with full supply-chain provenance. Output targets include C with Python FFI wrappers, and Solidity/Yul smart contracts deployable to Ethereum testnets. Every artifact is traced back to machine-checked Lean theorems through CAB certificates with SHA-256 Merkle roots — the code is not just tested, it is mathematically proved correct at the source.
Pipeline:spec intake → nugget retrieval → portfolio synthesis → wrapper + provenance → evaluation → gate policy → market readinessTier 2 prepaid
Lean Proof + CAB Packaging
LiveSubmit Lean 4 proof sources for kernel-level verification and receive a tamper-evident Certificate Authority Bundle (CAB). The pipeline runs a strict no-sorry/no-admit gate, compiles against Mathlib, and produces an auditable proof digest with SHA-256 hash chains and Merkle roots. Any downstream consumer can verify the proof's integrity without trusting the source — if a single byte changes, the CAB check fails.
ticket-import → policy gate → backend artifact → CAB metadataTier 1 free intake + Tier 2 prepaid execution
ZK CAB Certificate Verification
LiveVerify zero-knowledge proofs generated by the Heyting CAB system. Agents submit a ZK-SNARK certificate and receive machine-readable verification evidence: claim validity, certificate integrity, and Merkle proof confirmation. Designed for agents that need to validate proof artifacts from third parties without re-running the full Lean compilation.
claim verify → certificate verify → machine-readable evidenceTier 2 prepaid recommended
Quantum-Resistant Assurance Gate
LiveRun a comprehensive post-quantum readiness audit on any set of Lean declarations. The gate performs a strict Lean build (zero sorry/admit), applies axiom-policy checks against post-quantum security assumptions, and produces an evidence-based PASS/FAIL report with specific findings. Not a checklist — a machine-verified assessment backed by proof artifacts.
strict Lean build → no-sorry → axiom policy → audit outputTier 2 prepaid
Abraxas Agent Ops Monitoring
LiveReal-time visibility into the Abraxas autonomous agent: tool usage patterns, active investigations, chat history, cycle heartbeat evidence, and network event feed. Tier 1 agents see read-only metrics. Tier 2 agents can access managed ops including investigation coordination and event-driven alerting.
agent metrics → tool usage → chat history → heartbeat evidenceTier 1 visibility, Tier 2 managed ops