{
  "schema_version": 1,
  "id": "evt-2024-lean-star",
  "slug": "lean-star-thinking-and-proving",
  "title": {
    "en": "Lean-STaR trains theorem provers to interleave informal thinking with Lean tactics",
    "zh-CN": "Lean-STaR 训练定理证明器交替执行非形式思考与 Lean tactic"
  },
  "dates": {
    "event": "2024-07-14",
    "first_public_claim": "2024-07-14",
    "paper_release": "2024-07-14",
    "artifact_release": null,
    "independently_verified": null,
    "added_to_chronicle": "2026-09-10",
    "last_updated": "2026-09-10"
  },
  "event_types": [
    "proof",
    "system"
  ],
  "significance": {
    "tier": "H2",
    "rationale": {
      "en": "Lean-STaR explicitly inserted learned informal thoughts before proof steps and combined them with expert iteration.",
      "zh-CN": "Lean-STaR 在形式证明步骤前显式插入学习到的非形式思考，并与专家迭代结合。"
    }
  },
  "mathematical_novelty": {
    "type": "benchmark_result"
  },
  "interfaces": [
    "informal",
    "formal",
    "hybrid"
  ],
  "claim": {
    "en": "Lean-STaR improved miniF2F pass@64 from 43.4% to 46.3% by training models to generate synthetic informal thoughts before tactics.",
    "zh-CN": "Lean-STaR 通过训练模型在 tactic 前生成合成的非形式思考，将 miniF2F pass@64 从 43.4% 提升到 46.3%。"
  },
  "summary": {
    "en": "The method generates retrospective thoughts from known tactics and then uses expert iteration on newly discovered verified proofs.",
    "zh-CN": "该方法从已知 tactic 反向生成思考文本，并对新发现且验证通过的证明执行专家迭代。"
  },
  "why_it_matters": {
    "en": "It explored a direct bridge between chain-of-thought-style reasoning and proof-assistant feedback.",
    "zh-CN": "它探索了思维链式推理与证明助手反馈之间的直接桥接方式。"
  },
  "ai_role": {
    "level": "ai_primary_human_verified",
    "description": {
      "en": "The model generates both informal thoughts and Lean tactics, while Lean verifies the proof state.",
      "zh-CN": "模型同时生成非形式思考与 Lean tactic，Lean 负责验证证明状态。"
    }
  },
  "human_contribution": {
    "description": {
      "en": "Researchers designed synthetic-thought generation, expert iteration and evaluation.",
      "zh-CN": "研究者设计合成思考生成、专家迭代与评测。"
    }
  },
  "systems": [
    "lean-star",
    "lean"
  ],
  "organizations": [
    "carnegie-mellon-university"
  ],
  "people": [],
  "problems": [
    "minif2f"
  ],
  "methods": [
    "expert-iteration",
    "synthetic-thought",
    "lean"
  ],
  "verification": {
    "evidence_level": "E2",
    "status": "paper_released",
    "formal_assurance": "machine_checked",
    "history": [
      {
        "date": "2024-07-14",
        "status": "paper_released",
        "evidence_level": "E2",
        "note": {
          "en": "The Chronicle records this event from the cited primary or official source; the status does not imply independent Chronicle verification.",
          "zh-CN": "Chronicle 依据所引 primary / official source 记录该事件；该状态不表示 Chronicle 已完成独立验证。"
        }
      }
    ]
  },
  "sources": [
    {
      "id": "arxiv-lean-star-2407.10040",
      "tier": "S1",
      "type": "paper",
      "title": "Lean-STaR: Learning to Interleave Thinking and Proving",
      "url": "https://arxiv.org/abs/2407.10040",
      "primary": true,
      "published_date": "2024-07-14",
      "accessed_at": "2026-09-10"
    }
  ],
  "artifacts": [],
  "relationships": {
    "predecessors": [
      "evt-2023-leandojo",
      "evt-2022-htps"
    ],
    "successors": [],
    "related": []
  },
  "timeline": {
    "featured": true,
    "significance": "primary"
  },
  "tags": [
    "lean",
    "chain-of-thought",
    "expert-iteration",
    "formal-proof"
  ],
  "editorial": {
    "created_at": "2026-09-10",
    "last_reviewed": "2026-09-11",
    "reviewers": [
      "Charlie-Wang-03"
    ]
  },
  "corrections": []
}