{"slug": "openprover-agentic-and-interactive-theorem-proving-with-lean-4", "title": "OpenProver: Agentic and Interactive Theorem Proving with Lean 4", "summary": "Researchers introduced OpenProver, an open-source system for LLM-driven automated theorem proving with Lean 4 formal verification. The system uses a Planner-Worker-Verifier architecture and offers both automated and interactive proof search modes. OpenProver aims to advance AI-assisted mathematical reasoning by enabling reproducible evaluation and human-AI collaboration.", "body_md": "arXiv:2607.09217v1 Announce Type: new\nAbstract: 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.\nOpenProver 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.\nTo 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 https://github.com/kripner/OpenProver.", "url": "https://wpnews.pro/news/openprover-agentic-and-interactive-theorem-proving-with-lean-4", "canonical_source": "https://arxiv.org/abs/2607.09217", "published_at": "2026-07-13 04:00:00+00:00", "updated_at": "2026-07-13 04:08:44.874576+00:00", "lang": "en", "topics": ["artificial-intelligence", "large-language-models", "ai-tools", "ai-agents"], "entities": ["OpenProver", "Lean 4", "Aletheia", "ProofNet"], "alternates": {"html": "https://wpnews.pro/news/openprover-agentic-and-interactive-theorem-proving-with-lean-4", "markdown": "https://wpnews.pro/news/openprover-agentic-and-interactive-theorem-proving-with-lean-4.md", "text": "https://wpnews.pro/news/openprover-agentic-and-interactive-theorem-proving-with-lean-4.txt", "jsonld": "https://wpnews.pro/news/openprover-agentic-and-interactive-theorem-proving-with-lean-4.jsonld"}}