formal verification

Axiom Math's AI system AxiomProver has formally verified the proof of the '246 theorem,' a landmark result from the Polymath8b collaboration on prime gaps. The company says the achievement builds a reusable library for future formalization work and points toward AI verification of software code.

Mistral AI released Leanstral 1.5, a free Apache-2.0 licensed model with 119B total parameters and 6B active parameters specialized for formal verification in Lean 4. The model achieves 100% on miniF2F benchmark, solves 587 of 672 PutnamBench problems at $4 per problem (versus $300+ for competitors), and reaches state-of-the-art 87% on FATE-H and 34% on FATE-X benchmarks.

AWS has released Automated Reasoning checks in Amazon Bedrock Guardrails, a feature that uses formal mathematical verification to validate AI outputs against defined rules. Unlike LLM-as-a-judge approaches that use one probabilistic model to validate another, Automated Reasoning provides mathematically proven, auditable compliance evidence for regulated industries.