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Paper · arXiv

AIProver: Agentic Auto-Formalization of Mathematical Research via Certificate-Driven Evolving Harness

Proof auto-formalization translates natural-language (NL) theorems and proofs into a formal language (FL) such as Lean, enabling mechanical verification. Despite rapid progress, research-level proofs often depend on concepts missing from leading proof assistant libraries (e.g., Lean's Mathlib), and successful compilation does not guarantee that a translation preserves the theorem's meaning or the proof's reasoning. Furthermore, aligned NL-FL training data are scarce, and leading agents often rely on costly frontier models and manually engineered harnesses. To address the above issues, we present AIProver, an agentic framework for autonomous proof auto-formalization and proof synthesis (AF...

AuthorsPrithwish Jana, Viet Bach Hoang, Logan Luna et al.
Primary categorycs.LO
Published4 October 2026
Last updated at source4 October 2026
cs.LOcs.AIcs.LG
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