Inside Axiom’s Verification Kernel: BMC, UAP, Lean Replay, and the Proof Vault

Axiom combines bounded model checking, automated repair, and Lean 4 replay to make verified claims reproducible.

It searches for counterexamples within a fixed step limit, while the UAP pipeline handles model extraction, repair, and re-proving.

Z3 provides deterministic SMT solving, but Lean 4 is the final proof kernel before any result is promoted as safe.

The design favors reproducibility and auditable proofs over one-shot SAT/UNSAT answers, reducing false confidence.