Models & Releases

Leanstral 1.5: Proof Abundance for All

The release aims to democratize access to high-quality model capabilities across different use cases and budgets.

Get smart on it

Leanstral 1.5 is a free, open-source AI model designed to automatically generate mathematical proofs and verify computer code using the Lean 4 formal verification system. The model was trained through three stages: mid-training, supervised fine-tuning, and reinforcement learning, allowing it to learn from compiler feedback when proofs fail and to work across multiple files like a developer would. It matters because formal verification can catch bugs and prove properties are correct, and this model makes that process more practical and affordable than existing alternatives, as demonstrated by discovering previously unknown bugs in real open-source repositories and solving complex mathematical problems at a fraction of the cost of competing systems.

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Gemini 4 Carbon is now available

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Google Launches Gemini Decisions API With Gemini Decision 1 at $0.10/M Tokens

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Introducing AlphaProof Code: a breakthrough in verifying complex software at depth

AlphaProof Code agents wrote three million lines of proofs in Lean to verify Signal’s core encryption.