No need to learn Lean 4. Input your mathematical drafts, and our AI agents will perform rigorous formal compilation in the background, outputting a machine-verified LaTeX paper.
We will be opening access to applicants very soon.
Submit your natural language or LaTeX draft. Gemini extracts the blueprint and grounds it in human literature.
Our AI agents carefully reconstruct the proof steps in a secure Lean 4 sandbox. The system conducts rigorous machine compilation and logical auditing to ensure every premise is sound and complete. tactics in a secure sandbox. The auditor prevents hypothesis smuggling and axiom cheating.
Reverse formalization to a beautifully typeset LaTeX paper mapped perfectly to the verified Lean code.
In mathematics, the black square (∎) is used to denote the end of a proof, replacing the traditional "Q.E.D.". This symbol was introduced by the legendary mathematician Paul Halmos and is affectionately known as the "Halmos tombstone".
Our platform is named in his honor. We believe that finding the proof should be a creative, intuitive process. Our AI handles the absolute rigor of formalization, guiding your draft safely to that final, indisputable black square.
"Mathematics is not a deductive science—that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork."
Coincidentally, the naming of this product and the launch of this landing page exactly aligned on March 3rd, the 110th anniversary of Paul Halmos's birth. Establishing this product on such a date imbues it with an unparalleled sense of historical destiny and commemorative significance.