LLM+P: Empowering LLMs with Optimal Planning
本笔记基于摘要 + 公开资料,未读全文。
一句话讲什么(TL;DR)
让 LLM 只当翻译——把你说的话翻译成机器格式,真正的规划交给老牌算法去算。LLM 管说话,算法管动脑子。
这是个什么场景
你出国旅行想订一趟最便宜的转机航班,但你不会英文,也不会用航空公司的查询系统。
幸好你有个朋友:他中英文都行,还会用机场那台只认 SQL 命令的老查询机。于是流程变成这样:
- 你用中文说:"我想从北京去纽约,预算 5000,不能在芝加哥转机"
- 朋友把这段话翻译成 SQL,敲进查询机
- 查询机吭哧吭哧算半天,吐出一个最优航班组合
- 朋友再把结果翻译成中文:"明天早上 8 点,北京飞东京转机,2 小时后接纽约航班,3800 块"
这篇论文做的事一模一样:你(用户)说人话,朋友(LLM,大语言模型)做翻译,查询机(经典规划器,classical planner)真正去算最优解,中间的 SQL 就是一种叫 PDDL(Planning Domain Definition Language,规划领域定义语言)的机器格式。LLM 自己不会规划,但它擅长在两种语言之间倒腾。

之前的人怎么做的 — 3-5 bullet
- 纯 LLM 规划:让 LLM 直接生成动作序列("先拿杯子,再倒水,再喝")。问题:步数一多就胡说,不保证可达目标,也不保证最优
- 链式思考(CoT, Chain-of-Thought):让 LLM 分步推理。在简单问题上效果不错,但在 Blocksworld 这种需要多步搜索的经典规划任务上仍会失败
- 强化学习(RL)规划器:训练专门的策略网络。问题是泛化差,换个领域就要重训
- 经典规划器(如 Fast Downward):算法保证完备性和最优性,但只接受 PDDL 输入——而把人类需求写成 PDDL 是专家活
- 此前一直没人桥接"自然语言 → PDDL"这一关,所以经典规划器没法被普通用户用起来
这篇论文的关键想法
把 LLM 当作"自然语言 ↔ PDDL"的翻译层,而不是规划器本身。
核心洞察:LLM 在符号生成(写代码、写格式化文本)这件事上比在长程推理上更可靠。所以与其让它做它不擅长的事(一步步推规划路径),不如让它做它擅长的事(生成符合语法的 PDDL 文件),把推理交给保证正确性的工具。
这是一个典型的 neuro-symbolic(神经-符号混合)思路:神经网络负责模糊的语言理解,符号系统负责精确的逻辑搜索。

它怎么做的(方法)— 3-4 段
第一步:菜谱专家先写好"厨房说明书",LLM 只填今天的订单。 像餐厅一样:厨房有什么锅、能做什么菜(domain file,领域文件)由大厨提前写一次;今天客人点了什么、要做成什么样(problem file,问题文件)每次现填。论文让人类专家提前写好 domain,LLM 只负责把客人的话翻译成 problem。
等等,先慢一拍 — PDDL 的 domain 和 problem 到底是什么?你可以理解成"游戏规则"和"这一关的关卡设定"。规则只写一次(这个世界里能做什么动作、有什么前置条件),关卡每次不一样(积木现在长什么样、要堆成什么样)。
第二步:照葫芦画瓢(few-shot prompting,少样本提示)做翻译。 像教小孩做应用题:先给一道带答案的例题,再让他做新题。给 LLM 看一个"自然语言 + 对应 PDDL"的样例,它就能模仿着把新任务翻译过去。LLM 不用真的懂规划,它只在做"模式匹配 + 填空"。
第三步:把活儿交给老黄牛——经典规划器。 把 LLM 写好的 problem.pddl 和人写的 domain.pddl 一起塞给 Fast Downward(一个开源经典规划器),它会算出一条保证最优(步数最少或代价最小)的动作序列。这一步不靠 AI,靠的是几十年的搜索算法。
第四步:把"机器话"再翻回人话。 规划器吐出来的是 (pick-up A) (stack A B) 这种符号,LLM 再把它读成:"先把积木 A 拿起来,然后放到 B 上。" 用户全程只看到自然语言进、自然语言出,中间那台老黄牛对他完全透明。
实验在做什么
- 测试领域:覆盖经典规划基准(Blocksworld 积木世界、Barman 调酒师、Termes 蚂蚁建塔等)和一些机器人任务(Tyreworld、Floortile 等)
- 比较对象:纯 LLM(GPT-4 直接生成动作序列)、CoT 提示
- 指标:成功率(生成的计划能否真的达到目标)、最优性(步数是否最少)
- 核心结论:LLM+P 在所有需要长程规划的任务上几乎全胜,纯 LLM 经常在 5+ 步任务就失败;具体准确率提升数字需读原文
- 失败模式:LLM 偶尔会在 PDDL 翻译时漏掉一两个谓词(predicate)或写错对象名,这时整个 pipeline 就废掉。论文也讨论了这种翻译误差
你应该懂的几个新词 — 4-6 个
- PDDL(Planning Domain Definition Language):规划领域的"标准格式",1998 年起作为规划比赛的统一输入语言。分 domain(世界规则)和 problem(具体任务)
- classical planning(经典规划):完全可观察、确定性、离散动作的规划问题。Blocksworld 是教科书例子
- domain file / problem file:domain 写一次描述世界(有哪些谓词、动作、前置条件、效果),problem 每次写描述当前任务(初始状态 + 目标)
- Fast Downward:开源经典规划器,工业界标杆。给它合法的 PDDL 它就能返回最优计划
- neuro-symbolic:神经网络 + 符号系统混合架构。这篇是非常清晰的一个例子
- few-shot prompting:在提示里塞几个示例(典型 1-3 个),让 LLM 模仿生成。无需 fine-tune
它和其他论文什么关系
- 与 SayCan / Inner Monologue 等"LLM 直接当 planner"路线对比:LLM+P 走的是相反方向——不让 LLM 做规划,只让它做翻译。立场更"谦虚"
- 与 Code as Policies 一脉:都是"LLM 生成结构化语言(代码 / PDDL),交给底层执行"的思路。CaP 生成 Python,LLM+P 生成 PDDL
- 后续工作:启发了 LLM-DP、PDDLego、AutoTAMP 等一系列"LLM + 形式化规划"工作。也是后来 task-and-motion-planning(TAMP)社区把 LLM 接入的范本
- 对比 ReAct:ReAct 让 LLM 边推理边交互;LLM+P 是"一次性翻译完,规划器搞定",更适合静态、目标明确的任务
我建议这样读 — 3-4 步
- 先理解 PDDL 长什么样:去找一个 Blocksworld 的 domain.pddl + problem.pddl 例子读 5 分钟,知道
(:predicates ...)和(:action ...)是什么 - 跳着读论文 Section 3-4:看清楚 prompt 模板和 pipeline 流程图,理解 LLM 输入输出的具体边界
- 跑一遍 demo:作者放了 GitHub 仓库(搜 LLM-Planner / LLM+P),跑一个 Blocksworld 例子,亲眼看到自然语言变成 PDDL 又变回自然语言
- 思考它的限制:domain 文件还是人写的;如果用户描述的任务超出 domain 表达能力(比如涉及概率、连续值),整套架构就不适用
为什么值得读
- 方法论价值:示范了"扬长避短"的混合架构思路——遇到 LLM 不擅长的任务,先想想能不能让它只做擅长的部分
- 历史定位:embodied AI / agent 领域 2023 年中期最重要的"LLM + 经典工具"代表作之一,被后续大量工作引用
- 对零基础读者友好:论文短、思路清晰、不需要懂深度学习细节,读完就能讲清楚 neuro-symbolic 是什么
- 批判性视角:也能让你看到 LLM "看起来全能"背后的真实边界——它在严肃规划上靠不住,需要外接计算器
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引用本笔记 / Cite this note
@online{eai_llm_plus_p_2026,
title = {(readable note) LLM+P: Empowering LLMs with Optimal Planning},
author = {Zhou, Jason},
year = {2026},
note = {Note on a 2023 paper},
howpublished = {\url{https://estelledc.github.io/embodied-ai-reading-station/papers/llm-plus-p/}},
organization = {Embodied AI Reading Station}
}
All 156 papers (full index)
- 1. LLaVA: Visual Instruction Tuning
- 2. 3DShape2VecSet: 3D Shape Representation for Diffusion Models
- 3. SayCan: Do As I Can, Not As I Say
- 4. OpenVLA: An Open-Source Vision-Language-Action Model
- 5. VLAS: VLA Model With Speech Instructions
- 6. MLA: Multisensory Language-Action Model
- 7. Cosmos Policy: Fine-Tuning Video Models for Visuomotor Control
- 8. CartoRadar: RF-Based 3D SLAM Rivaling Vision Approaches
- 9. mmCLIP: Boosting mmWave-based Zero-shot HAR via Signal-Text Alignment
- 10. mmNorm: Non-Line-of-Sight 3D Object Reconstruction via mmWave Surface Normal Estimation
- 11. Proactive Hearing Assistants that Isolate Egocentric Conversations
- 12. NeuralAids: Wireless Hearables With Programmable Speech AI Accelerators
- 13. Creating speech zones with self-distributing acoustic swarms
- 14. Conv-TasNet: Surpassing Ideal Time-Frequency Magnitude Masking for Speech Separation
- 15. SoundStream: An End-to-End Neural Audio Codec
- 16. AudioLM
- 17. Conformer
- 18. Dual-path RNN
- 19. EnCodec
- 20. Meta-StyleSpeech
- 21. MusicLM
- 22. Robust Speech Recognition via Large-Scale Weak Supervision
- 23. SeamlessM4T
- 24. Stable Audio
- 25. Universal Source Separation with Weakly Labelled Data
- 26. Meta-World: A Benchmark and Evaluation for Multi-Task and Meta Reinforcement Learning
- 27. RLBench: The Robot Learning Benchmark & Learning Environment
- 28. robosuite: A Modular Simulation Framework and Benchmark for Robot Learning
- 29. BridgeData V2
- 30. CALVIN
- 31. LIBERO
- 32. RH20T
- 33. What Matters in Learning from Offline Human Demonstrations for Robot Manipulation
- 34. DROID
- 35. Open X-Embodiment
- 36. RoboCasa
- 37. SimplerEnv
- 38. Diffusion Policy: Visuomotor Policy Learning via Action Diffusion
- 39. 3D Diffusion Policy: Generalizable Visuomotor Policy Learning via Simple 3D Representations
- 40. Consistency Policy: Accelerated Visuomotor Policies via Consistency Distillation
- 41. EquiBot: SIM(3)-Equivariant Diffusion Policy
- 42. DiT-Policy
- 43. Diffusion Policy Policy Optimization (DPPO)
- 44. Affordance-based Robot Manipulation with Flow Matching
- 45. FlowPolicy: 3D Flow-based Policy via Consistency Flow Matching
- 46. FAST: Efficient Action Tokenization for VLA
- 47. pi_0: Vision-Language-Action Flow Model
- 48. pi_0.5: VLA with Open-World Generalization
- 49. A Reduction of Imitation Learning and Structured Prediction to No-Regret Online Learning
- 50. Generative Adversarial Imitation Learning
- 51. Learning Fine-Grained Bimanual Manipulation with Low-Cost Hardware (ACT/ALOHA)
- 52. AnyTeleop
- 53. Behavior Transformers: Cloning k Modes with One Stone
- 54. Implicit Behavioral Cloning
- 55. RoboCat
- 56. ALOHA 2
- 57. DexCap
- 58. HumanPlus
- 59. Generalizable Humanoid Manipulation with 3D Diffusion Policies (iDP3)
- 60. Mobile ALOHA
- 61. SmolVLA
- 62. Universal Manipulation Interface
- 63. Behavior Generation with Latent Actions (VQ-BeT)
- 64. ImageBind: One Embedding Space To Bind Them All
- 65. Connecting Touch and Vision via Cross-Modal Prediction
- 66. AnyMAL: An Efficient and Scalable Any-Modality Augmented Language Model
- 67. AudioPaLM
- 68. FROMAGe: Grounding LLMs to Images
- 69. OneLLM
- 70. X-VLM: Multi-Grained Vision Language Pre-Training
- 71. Tactile Beyond Pixels (Sparsh-X)
- 72. Sparsh: Self-supervised Touch Representations
- 73. Tactile-VLA
- 74. TLA: Tactile-Language-Action
- 75. Code as Policies: Language Model Programs for Embodied Control
- 76. Inner Monologue: Embodied Reasoning through Planning with Language Models
- 77. LLM+P: Empowering LLMs with Optimal Planning
- 78. PaLM-E: An Embodied Multimodal Language Model
- 79. ProgPrompt
- 80. ChatGPT for Robotics
- 81. GenSim
- 82. RoboFlamingo
- 83. Tree-Planner
- 84. VoxPoser
- 85. See Through Smoke: Robust Indoor Mapping with Low-cost mmWave Radar
- 86. Can WiFi Estimate Person Pose?
- 87. 3DRIMR: 3D Reconstruction and Imaging via mmWave Radar based on Deep Learning
- 88. milliEgo: Single-chip mmWave Radar Aided Egomotion Estimation via Deep Sensor Fusion
- 89. High Resolution Point Clouds from mmWave Radar
- 90. RadarSLAM: Radar based Large-Scale SLAM in All Weathers
- 91. Through-Wall Pose Imaging in Real-Time with a Many-to-Many Encoder/Decoder Paradigm
- 92. RFMask: A Simple Baseline for Human Silhouette Segmentation with Radio Signals
- 93. RFPose-OT: RF-Based 3D Human Pose Estimation via Optimal Transport Theory
- 94. Argus: Multi-View Egocentric Human Mesh Reconstruction Based on Stripped-Down Wearable mmWave Add-on
- 95. Diffusion Model is a Good Pose Estimator from 3D RF-Vision
- 96. Enabling Visual Recognition at Radio Frequency (PanoRadar)
- 97. Wave-Former: Through-Occlusion 3D Reconstruction via Wireless Shape Completion
- 98. Habitat: A Platform for Embodied AI Research
- 99. Isaac Gym: High Performance GPU-Based Physics Simulation For Robot Learning
- 100. DexMV
- 101. Habitat 2.0
- 102. ManiSkill
- 103. ProcTHOR
- 104. SAPIEN: A SimulAted Part-based Interactive ENvironment
- 105. BEHAVIOR-1K
- 106. Habitat 3.0
- 107. Isaac Lab
- 108. MuJoCo Playground
- 109. RT-1: Robotics Transformer for Real-World Control at Scale
- 110. 3D Diffusion Policy (DP3)
- 111. Octo: An Open-Source Generalist Robot Policy
- 112. RT-2: Vision-Language-Action Models Transfer Web Knowledge to Robotic Control
- 113. RT-Trajectory: Robotic Task Generalization via Hindsight Trajectory Sketches
- 114. 3D-VLA
- 115. DexVLA
- 116. GR-2: Generative Video-Language-Action Model
- 117. OpenHelix
- 118. OpenVLA-OFT
- 119. RDT-1B: Diffusion Foundation Model for Bimanual Manipulation
- 120. RoboMamba
- 121. SpatialVLA
- 122. TinyVLA
- 123. TraceVLA: Visual Trace Prompting
- 124. Learning Transferable Visual Models From Natural Language Supervision
- 125. Flamingo: a Visual Language Model for Few-Shot Learning
- 126. BLIP-2: Bootstrapping Language-Image Pre-training with Frozen Image Encoders and Large Language Models
- 127. BLIP: Bootstrapping Language-Image Pre-training for Unified Vision-Language Understanding and Generation
- 128. DeepSeek-VL: Towards Real-World Vision-Language Understanding
- 129. EVA-CLIP: Improved Training Techniques for CLIP at Scale
- 130. FILIP: Fine-grained Interactive Language-Image Pre-Training
- 131. Florence-2: Advancing a Unified Representation for a Variety of Vision Tasks
- 132. InternVL: Scaling up Vision Foundation Models and Aligning for Generic Visual-Linguistic Tasks
- 133. Improved Baselines with Visual Instruction Tuning
- 134. OBELICS
- 135. Qwen-VL: A Versatile Vision-Language Model for Understanding, Localization, Text Reading, and Beyond
- 136. Sigmoid Loss for Language Image Pre-Training
- 137. What matters when building vision-language models?
- 138. Expanding Performance Boundaries of Open-Source Multimodal Models with Model, Data, and Test-Time Scaling
- 139. The Llama 3 Herd of Models
- 140. LLaVA-NeXT-Interleave
- 141. LLaVA-OneVision: Easy Visual Task Transfer
- 142. Long-CLIP: Unlocking the Long-Text Capability of CLIP
- 143. Pixtral 12B
- 144. Dream to Control: Learning Behaviors by Latent Imagination
- 145. World Models
- 146. DayDreamer
- 147. Mastering Atari with Discrete World Models
- 148. Dreamer V3: Mastering Diverse Domains through World Models
- 149. Transformers are Sample-Efficient World Models
- 150. TWM: Transformer-based World Models
- 151. 1X World Model Challenge
- 152. Cosmos World Foundation Model Platform
- 153. GAIA-1
- 154. Genie: Generative Interactive Environments
- 155. Navigation World Models
- 156. UniSim