{
  "schema_version": 1,
  "id": "evt-2024-leanagent",
  "slug": "leanagent-lifelong-theorem-proving",
  "title": {
    "en": "LeanAgent brings lifelong learning to theorem proving across evolving Lean repositories",
    "zh-CN": "LeanAgent 将终身学习引入持续演化 Lean 仓库的定理证明"
  },
  "dates": {
    "event": "2024-10-08",
    "first_public_claim": "2024-10-08",
    "paper_release": "2024-10-08",
    "artifact_release": null,
    "independently_verified": null,
    "added_to_chronicle": "2026-09-11",
    "last_updated": "2026-09-11"
  },
  "event_types": [
    "proof",
    "system",
    "infrastructure"
  ],
  "significance": {
    "tier": "H2",
    "rationale": {
      "en": "LeanAgent reframed neural theorem proving as a continual-learning problem over evolving mathematical repositories rather than a fixed benchmark, combining a dynamic knowledge database, curriculum ordering and progressive retriever training to preserve and extend proof capability across domains.",
      "zh-CN": "LeanAgent 将神经定理证明重新表述为面向持续演化数学仓库的终身学习问题，而非固定基准任务；它结合动态知识数据库、课程排序和渐进式检索器训练，使证明能力能够跨领域持续保留与扩展。"
    }
  },
  "mathematical_novelty": {
    "type": "tooling_only"
  },
  "interfaces": [
    "formal",
    "symbolic"
  ],
  "claim": {
    "en": "The LeanAgent paper reported formal proofs for 155 theorems whose Lean repositories previously contained missing proofs across 23 repositories, while improving lifelong-learning stability and backward transfer relative to a static theorem-proving baseline.",
    "zh-CN": "LeanAgent 论文报告在 23 个 Lean 仓库中为 155 个此前缺少形式证明的定理生成了形式证明，并相较静态定理证明基线改善终身学习中的稳定性与向后迁移表现。"
  },
  "summary": {
    "en": "LeanAgent repeatedly ingests new Lean repositories, traces theorem and premise data through LeanDojo, updates a dynamic database, progressively retrains premise retrieval and searches for proofs of `sorry` theorems. Successful proofs can be added back to the knowledge base for later learning.",
    "zh-CN": "LeanAgent 持续接收新的 Lean 仓库，通过 LeanDojo 抽取定理与前提数据，更新动态数据库，渐进训练前提检索器，并搜索带有 `sorry` 的定理证明；成功证明还可回流知识库供后续学习。"
  },
  "why_it_matters": {
    "en": "The work introduced a durable systems perspective for AI theorem proving in which mathematical knowledge, repositories and model competence evolve together, addressing a limitation of provers trained once on static snapshots.",
    "zh-CN": "该工作为 AI 定理证明引入一种持续性的系统视角：数学知识、代码仓库与模型能力共同演化，从而回应“一次训练于静态快照”的证明器难以适应持续增长数学库的问题。"
  },
  "ai_role": {
    "level": "ai_primary_human_verified",
    "description": {
      "en": "Learned premise retrieval and tactic generation drove automated proof search across Lean repositories, while Lean mechanically checked candidate tactic sequences and accepted successful formal proofs.",
      "zh-CN": "学习式前提检索与 tactic 生成驱动跨 Lean 仓库的自动证明搜索，Lean 则机械检查候选 tactic 序列并接受成功的形式证明。"
    }
  },
  "human_contribution": {
    "description": {
      "en": "Researchers designed the lifelong-learning architecture, repository curriculum, dynamic database and progressive training procedure, selected evaluation repositories, and analyzed stability and transfer.",
      "zh-CN": "研究者设计终身学习架构、仓库课程、动态数据库与渐进训练流程，选择评测仓库，并分析稳定性与迁移表现。"
    }
  },
  "systems": [
    "leanagent",
    "lean",
    "leandojo"
  ],
  "organizations": [
    "caltech"
  ],
  "people": [
    "adarsh-kumarappan",
    "mo-tiwari",
    "peiyang-song",
    "robert-joseph-george",
    "chaowei-xiao",
    "anima-anandkumar"
  ],
  "problems": [
    "lean-theorem-proving"
  ],
  "methods": [
    "lifelong-learning",
    "continual-learning",
    "premise-selection",
    "curriculum-learning",
    "proof-search"
  ],
  "verification": {
    "evidence_level": "E3",
    "status": "paper_released",
    "formal_assurance": "machine_checked",
    "history": [
      {
        "date": "2024-10-08",
        "status": "paper_released",
        "evidence_level": "E2",
        "note": {
          "en": "The arXiv research record introduced LeanAgent and reported its continual-learning and formal-proof results across multiple Lean repositories.",
          "zh-CN": "arXiv 研究记录发布 LeanAgent，并报告其跨多个 Lean 仓库的持续学习与形式证明结果。"
        }
      },
      {
        "date": "2026-09-11",
        "status": "paper_released",
        "evidence_level": "E3",
        "note": {
          "en": "The public LeanAgent repository exposes implementation, tests and reproduction setup, and the work later appeared at ICLR 2025. Machine-checked describes Lean acceptance of generated formal proofs; it does not imply independent replay of the complete experiment or new informal mathematical results.",
          "zh-CN": "公开的 LeanAgent 仓库提供实现、测试与复现实验配置，该工作后来发表于 ICLR 2025。machine-checked 表示生成的形式证明由 Lean 接受，并不表示完整实验已获独立重放，也不表示产生了新的非形式数学结果。"
        }
      }
    ]
  },
  "sources": [
    {
      "id": "arxiv-leanagent-2410.06209",
      "tier": "S1",
      "type": "paper",
      "title": "LeanAgent: Lifelong Learning for Formal Theorem Proving",
      "url": "https://arxiv.org/abs/2410.06209",
      "primary": true,
      "published_date": "2024-10-08",
      "accessed_at": "2026-09-11"
    },
    {
      "id": "github-leanagent",
      "tier": "S1",
      "type": "repository",
      "title": "LeanAgent implementation and reproduction repository",
      "url": "https://github.com/lean-dojo/LeanAgent",
      "primary": true,
      "published_date": null,
      "accessed_at": "2026-09-11"
    },
    {
      "id": "iclr-leanagent-2025",
      "tier": "S1",
      "type": "paper",
      "title": "LeanAgent — ICLR 2025 conference paper",
      "url": "https://proceedings.iclr.cc/paper_files/paper/2025/hash/b67c77f8db8b991d73d6f2e16f491840-Abstract-Conference.html",
      "primary": true,
      "published_date": null,
      "accessed_at": "2026-09-11"
    }
  ],
  "artifacts": [
    {
      "id": "leanagent-repository",
      "kind": "code",
      "title": "LeanAgent lifelong theorem-proving implementation",
      "url": "https://github.com/lean-dojo/LeanAgent"
    }
  ],
  "relationships": {
    "predecessors": [
      "evt-2023-leandojo"
    ],
    "successors": [],
    "related": [
      "evt-2024-lean-star",
      "evt-2024-deepseek-prover-v1"
    ]
  },
  "timeline": {
    "featured": true,
    "significance": "primary"
  },
  "tags": [
    "lean",
    "theorem-proving",
    "lifelong-learning",
    "continual-learning",
    "proof-search",
    "infrastructure"
  ],
  "editorial": {
    "created_at": "2026-09-11",
    "last_reviewed": "2026-09-11",
    "reviewers": [
      "Charlie-Wang-03"
    ]
  },
  "corrections": []
}