{
  "schema_version": 1,
  "id": "evt-2020-tactician",
  "slug": "tactician-coq-tactic-learning",
  "title": {
    "en": "Tactician integrates adaptive tactic learning and proof synthesis into Coq",
    "zh-CN": "Tactician 将自适应 tactic 学习与证明合成直接集成进 Coq"
  },
  "dates": {
    "event": "2020-07-31",
    "first_public_claim": "2020-07-31",
    "paper_release": "2020-07-31",
    "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": "Tactician turned learned tactic prediction into an integrated, interactive Coq workflow that could learn from existing developments, suggest the next tactic or synthesize a proof, and continue adapting as users worked across package dependencies.",
      "zh-CN": "Tactician 将学习式 tactic 预测发展为直接嵌入 Coq 的交互工作流：它可以从既有开发中学习、建议下一步 tactic 或自动合成证明，并在跨 package dependency 的实际使用中持续适应。"
    }
  },
  "mathematical_novelty": {
    "type": "tooling_only"
  },
  "interfaces": [
    "formal",
    "symbolic"
  ],
  "claim": {
    "en": "Tactician provided a Coq plugin that learns from previously written tactic scripts and can either recommend the next tactic interactively or perform automated tactic-level proof synthesis, with tooling designed to learn across installed Coq developments.",
    "zh-CN": "Tactician 提供 Coq 插件，从已有 tactic script 中学习，既能交互式推荐下一步 tactic，也能执行 tactic 层面的自动证明合成，并支持从已安装的 Coq 开发中持续学习。"
  },
  "summary": {
    "en": "The project combines online tactic learning, proof search and package-aware instrumentation so machine-learning assistance lives inside the proof assistant rather than as a detached benchmark-only experiment.",
    "zh-CN": "该项目把在线 tactic 学习、证明搜索与 package-aware instrumentation 结合起来，使机器学习辅助直接存在于证明助手工作流中，而不是停留在独立的 benchmark 实验里。"
  },
  "why_it_matters": {
    "en": "It is an early example of a maintained proof-assistant-native learning platform, anticipating later AI theorem-proving infrastructure that exposes interactive proof states to continuously improving learned agents.",
    "zh-CN": "它是较早的、持续维护的 proof-assistant-native 学习平台之一，预示了后来把交互式证明状态暴露给持续改进学习 Agent 的 AI 定理证明基础设施路线。"
  },
  "ai_role": {
    "level": "ai_substantive_support",
    "description": {
      "en": "Learned models rank tactic choices and drive tactic-level proof search while remaining embedded in a human-controlled Coq proof-development loop.",
      "zh-CN": "学习模型对 tactic 选择进行排序并驱动 tactic 层面的证明搜索，同时仍嵌入由人控制的 Coq 证明开发循环。"
    }
  },
  "human_contribution": {
    "description": {
      "en": "Researchers designed the learning and search machinery, implemented the Coq plugin and dependency-aware instrumentation, and human Coq developments provide the tactic traces from which the system learns.",
      "zh-CN": "研究者设计学习与搜索机制、实现 Coq 插件及 dependency-aware instrumentation；人工编写的 Coq 开发则提供系统学习所需的 tactic 轨迹。"
    }
  },
  "systems": [
    "tactician",
    "coq"
  ],
  "organizations": [],
  "people": [
    "lasse-blaauwbroek",
    "josef-urban",
    "herman-geuvers"
  ],
  "problems": [],
  "methods": [
    "tactic-learning",
    "proof-search",
    "online-learning",
    "proof-synthesis"
  ],
  "verification": {
    "evidence_level": "E3",
    "status": "paper_released",
    "formal_assurance": "artifact_available",
    "history": [
      {
        "date": "2020-07-31",
        "status": "paper_released",
        "evidence_level": "E2",
        "note": {
          "en": "The arXiv extended paper and CICM publication record establish the Tactician system and its integration model for Coq.",
          "zh-CN": "arXiv 扩展论文与 CICM 正式发表记录确立了 Tactician 系统及其 Coq 集成方式。"
        }
      },
      {
        "date": "2026-09-11",
        "status": "paper_released",
        "evidence_level": "E3",
        "note": {
          "en": "The Chronicle linked the maintained public Tactician repository as a directly inspectable implementation artifact. E3 denotes artifact availability and does not imply independent verification of research-performance claims.",
          "zh-CN": "Chronicle 补入持续维护的 Tactician 公开仓库作为可直接检查的实现产物。E3 表示 artifact 可用，并不等同于对研究性能主张的独立验证。"
        }
      }
    ]
  },
  "sources": [
    {
      "id": "arxiv-tactician-2008.00120",
      "tier": "S1",
      "type": "paper",
      "title": "The Tactician (extended version): A Seamless, Interactive Tactic Learner and Prover for Coq",
      "url": "https://arxiv.org/abs/2008.00120",
      "primary": true,
      "published_date": "2020-07-31",
      "accessed_at": "2026-09-11"
    },
    {
      "id": "doi-tactician-cicm2020",
      "tier": "S1",
      "type": "paper",
      "title": "The Tactician: A Seamless, Interactive Tactic Learner and Prover for Coq — CICM 2020",
      "url": "https://doi.org/10.1007/978-3-030-53518-6_17",
      "primary": true,
      "published_date": null,
      "accessed_at": "2026-09-11"
    },
    {
      "id": "github-coq-tactician",
      "tier": "S1",
      "type": "repository",
      "title": "Tactician Coq plugin and prover repository",
      "url": "https://github.com/coq-tactician/coq-tactician",
      "primary": true,
      "published_date": null,
      "accessed_at": "2026-09-11"
    }
  ],
  "artifacts": [
    {
      "id": "coq-tactician-repository",
      "kind": "code",
      "title": "Tactician Coq plugin, tests and proof-learning implementation",
      "url": "https://github.com/coq-tactician/coq-tactician"
    }
  ],
  "relationships": {
    "predecessors": [],
    "successors": [],
    "related": [
      "evt-2023-leandojo",
      "evt-2023-copra"
    ]
  },
  "timeline": {
    "featured": true,
    "significance": "primary"
  },
  "tags": [
    "coq",
    "theorem-proving",
    "tactic-learning",
    "proof-assistant",
    "interactive-proving"
  ],
  "editorial": {
    "created_at": "2026-09-11",
    "last_reviewed": "2026-09-11",
    "reviewers": [
      "Charlie-Wang-03"
    ]
  },
  "corrections": []
}