{
  "schema_version": 1,
  "id": "evt-2022-draft-sketch-prove",
  "slug": "draft-sketch-prove-informal-guidance",
  "title": {
    "en": "Draft, Sketch, and Prove uses informal proofs to guide formal proof search",
    "zh-CN": "Draft, Sketch, and Prove 用非形式证明引导形式证明搜索"
  },
  "dates": {
    "event": "2022-10-21",
    "first_public_claim": "2022-10-21",
    "paper_release": "2022-10-21",
    "artifact_release": null,
    "independently_verified": null,
    "added_to_chronicle": "2026-09-10",
    "last_updated": "2026-09-11"
  },
  "event_types": [
    "formalization",
    "proof",
    "system"
  ],
  "significance": {
    "tier": "H2",
    "rationale": {
      "en": "DSP made informal reasoning an explicit intermediate representation between language models and formal theorem provers.",
      "zh-CN": "DSP 将非形式推理显式作为语言模型与形式定理证明器之间的中间表示。"
    }
  },
  "mathematical_novelty": {
    "type": "tooling_only"
  },
  "interfaces": [
    "informal",
    "formal",
    "hybrid"
  ],
  "claim": {
    "en": "DSP mapped informal proofs into formal sketches and raised automated proving performance from 20.9% to 39.3% on a competition-problem collection.",
    "zh-CN": "DSP 将非形式证明映射为形式 proof sketch，并在一组竞赛题上把自动证明性能从 20.9% 提升到 39.3%。"
  },
  "summary": {
    "en": "Language models produce a high-level formal sketch whose subgoals are then discharged by an automated prover.",
    "zh-CN": "语言模型先生成高层形式证明草图，再由自动证明器完成其中的子目标。"
  },
  "why_it_matters": {
    "en": "The architecture anticipated later systems that alternate natural-language decomposition with verifier-backed formal proof.",
    "zh-CN": "该架构预示了后来“自然语言分解 + 验证器支持的形式证明”交替执行的系统。"
  },
  "ai_role": {
    "level": "ai_primary_human_verified",
    "description": {
      "en": "Language models draft and sketch proof structure; formal provers verify and complete subproblems.",
      "zh-CN": "语言模型负责起草和构造证明结构，形式证明器验证并完成子问题。"
    }
  },
  "human_contribution": {
    "description": {
      "en": "Researchers designed the three-stage workflow and constructed evaluation problems and prompting procedures.",
      "zh-CN": "研究者设计三阶段工作流、评测问题与提示流程。"
    }
  },
  "systems": [
    "draft-sketch-prove"
  ],
  "organizations": [
    "meta-ai",
    "university-of-cambridge"
  ],
  "people": [],
  "problems": [
    "competition-mathematics"
  ],
  "methods": [
    "autoformalization",
    "proof-sketch",
    "language-model"
  ],
  "verification": {
    "evidence_level": "E3",
    "status": "paper_released",
    "formal_assurance": "machine_checked",
    "history": [
      {
        "date": "2022-10-21",
        "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。"
        }
      },
      {
        "date": "2026-09-11",
        "status": "paper_released",
        "evidence_level": "E3",
        "note": {
          "en": "This corpus refresh added a directly inspectable public artifact maintained by the authors or releasing organization. E3 records artifact-level inspectability and does not imply independent verification of the underlying scientific or mathematical claim.",
          "zh-CN": "本轮 corpus 刷新增补了由作者或发布机构维护、可直接检查的公开产物。E3 表示证据已达到可检查 artifact 层级，并不等同于底层科学或数学主张已获得独立验证。"
        }
      }
    ]
  },
  "sources": [
    {
      "id": "arxiv-dsp-2210.12283",
      "tier": "S1",
      "type": "paper",
      "title": "Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs",
      "url": "https://arxiv.org/abs/2210.12283",
      "primary": true,
      "published_date": "2022-10-21",
      "accessed_at": "2026-09-10"
    },
    {
      "id": "github-draft-sketch-prove",
      "tier": "S1",
      "type": "repository",
      "title": "Draft, Sketch, and Prove implementation and result artifacts",
      "url": "https://github.com/albertqjiang/draft_sketch_prove",
      "primary": true,
      "published_date": null,
      "accessed_at": "2026-09-11"
    }
  ],
  "artifacts": [
    {
      "id": "draft-sketch-prove-code",
      "kind": "code",
      "title": "Draft, Sketch, and Prove implementation and result files",
      "url": "https://github.com/albertqjiang/draft_sketch_prove"
    }
  ],
  "relationships": {
    "predecessors": [
      "evt-2022-thor",
      "evt-2021-minif2f"
    ],
    "successors": [],
    "related": []
  },
  "timeline": {
    "featured": true,
    "significance": "primary"
  },
  "tags": [
    "autoformalization",
    "proof-sketch",
    "lean",
    "language-model"
  ],
  "editorial": {
    "created_at": "2026-09-10",
    "last_reviewed": "2026-09-11",
    "reviewers": [
      "Charlie-Wang-03"
    ]
  },
  "corrections": []
}
