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BlueprintRepair: Typed Local Edits for Failed Lean Proof Blueprints

Research LLM Agents

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Merged summary

TL;DR - BlueprintRepair uses schema-checked local edits to repair failed LLM-generated Lean proof blueprints without allowing changes to the target theorem. It achieves similar coverage to free-form patching and rewriting at substantially lower token cost.

  • Provides ten typed operations for locally editing proof dependency graphs, with every change verified by Lean.
  • Introduces BlueprintTrace, a benchmark of 142 controlled failures with accepted and rejected repair trajectories.
  • With DeepSeek-V4-Flash, patching costs 1.30× and rewriting 2.06× more per solved state than typed repair.
  • Typed repair approaches its final coverage within 10,000 completion tokens, outperforming free-form interfaces at that budget.

Sources (1)

BlueprintRepair: Typed Local Edits for Failed Lean Proof Blueprints

arXiv cs.AI Ruslan Khrulev 2026-07-30 arXiv:2607.28110
Public signals Semantic Scholar citations 0 · Semantic Scholar influential citations 0
Providers: Hugging Face · N/A OpenAlex · N/A Publisher · N/A Semantic Scholar · Citations 0 · Influential citations 0 X · N/A Fetched 2026-08-20 14:27:29.110068 UTC

TL;DR - BlueprintRepair uses schema-checked local edits to repair failed LLM-generated Lean proof blueprints without allowing changes to the target theorem. It achieves similar coverage to free-form patching and rewriting at substantially lower token cost.

  • Provides ten typed operations for locally editing proof dependency graphs, with every change verified by Lean.
  • Introduces BlueprintTrace, a benchmark of 142 controlled failures with accepted and rejected repair trajectories.
  • With DeepSeek-V4-Flash, patching costs 1.30× and rewriting 2.06× more per solved state than typed repair.
  • Typed repair approaches its final coverage within 10,000 completion tokens, outperforming free-form interfaces at that budget.
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