Goedel-Architect: Streamlining Formal Theorem Proving with Blueprint Generation and Refinement

2026-06-04 · Source: Artificial Intelligence · Field: Technology & Digital — Artificial Intelligence & Machine Learning, Robotics & Autonomous Systems · Depth: Expert, quick

Summary

Goedel-Architect is an agentic framework designed for formal theorem proving within Lean 4, utilizing a novel blueprint generation and refinement strategy. It constructs a dependency graph of definitions and lemmas, optionally guided by natural language proofs, then employs a tool-equipped Lean prover to close each lemma node in parallel. Failed lemmas trigger a global blueprint refinement, a method contrasting with less efficient recursive decomposition approaches. Powered by the open-weight DeepSeek-V4-Flash (284B-A13B), Goedel-Architect achieves 99.2% pass@1 on MiniF2F-test and 75.6% on PutnamBench. With natural language guidance, its performance improves to 100% on MiniF2F-test, 88.8% on PutnamBench, and solves problems from IMO 2025, Putnam 2025, and USAMO 2026, offering leading performance for an open-source pipeline at a cost up to 500x lower than alternatives.

Key takeaway

For Research Scientists developing automated theorem provers, Goedel-Architect's blueprint generation and refinement approach offers a compelling alternative to traditional recursive methods. You should explore this agentic framework for its demonstrated efficiency in Lean 4, especially given its 500x cost advantage and high performance on benchmarks like MiniF2F-test and PutnamBench. Consider integrating natural language proof guidance to further boost success rates on complex problems.

Key insights

Goedel-Architect streamlines formal theorem proving in Lean 4 via blueprint generation, parallel lemma closing, and iterative refinement.

Principles

• Blueprint-based dependency graphs enhance formal proof construction.
• Parallel lemma resolution avoids inefficient recursive decomposition.

Method

Goedel-Architect generates a blueprint of formally stated definitions and lemmas with dependencies. A tool-equipped Lean prover then closes open lemma nodes in parallel. Failed lemmas drive global blueprint refinement.

In practice

• Achieves 99.2% pass@1 on MiniF2F-test.
• Solves 11/12 on Putnam 2025 with NL guidance.

Topics

• Formal Theorem Proving
• Lean 4
• Agentic AI Frameworks
• Blueprint Generation
• DeepSeek-V4-Flash
• MiniF2F
• PutnamBench

Best for: AI Scientist, Research Scientist

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Editorial summary, takeaway, and curation by AIssential. Original article published by Artificial Intelligence.