AGENTIC-SYSTEMSJuly 13, 20261 min read

OpenProver: Agentic and Interactive Theorem Proving with Lean 4

Researchers have introduced OpenProver, an open-source system for LLM-driven automated theorem proving integrated with Lean 4 formal verification. Featuring an agentic architecture and an interactive terminal interface, OpenProver enhances human-AI collaboration in mathematical research.

Computer Science > Artificial Intelligence

Title:OpenProver: Agentic and Interactive Theorem Proving with Lean 4

View PDF HTML (experimental)Abstract:In this system paper, we present OpenProver, an open-source system for LLM-driven automated theorem proving (ATP) with integrated Lean 4 formal verification. OpenProver integrates a Planner-Worker-Verifier architecture inspired by recent ATP agentic systems such as Aletheia. A Planner agent maintains a compact Whiteboard scratchpad and an unbounded Repository of intermediate findings, and decomposes mathematical work into parallel Workers.

OpenProver is fully open-source, offers reproducible evaluation through automatic formal verification of generated proofs, and provides an interactive terminal interface for human-guided proof search. In interactive mode, OpenProver allows the human operator to monitor and steer the proof search process, motivated by the established human-AI synergy in interactive code generation.

To showcase the potential for quantitative ablation experiments enabled by automatic formal verification, we evaluate OpenProver on ProofNet and compare it with a simple baseline. OpenProver is publicly available at this https URL.

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Source: arXiv cs.AI Recent

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