How Far Are LLMs from Symbolic Planners? An NLP-Based Perspective
Organizations: Department of Informatics, King’s College London
Abstract
AI planning provides agents the ability to act autonomously towards achieving a goal in a given environment. Recent advances in Large Language Models (LLMs) have introduced the prospect of using unstructured input for planning, making LLMs in planning an active area of research, especially for supporting autonomous agents. However, LLMs remain unreliable as long-horizon planners, since some of the plans they produce contain mistaken or hallucinated actions; executing such plans could lead to unexpected and harmful outcomes. Existing benchmarks for LLMs in planning primarily rely on binary evaluation metrics, providing limited insight into the quality of plans that do not achieve the goal, and how far those are from becoming valid. In this paper, we frame the evaluation of LLMs in planning as a natural language processing (NLP) task, as LLMs are themselves NLP models. We propose a pipeline comprising three NLP-based steps that assess plan quality from complementary perspectives, followed by a symbolic planning step to achieve a valid plan, to provide a finer-grained understanding of the quality of invalid plans. In our experiments, we find no clear evidence of logical derivation or state-tracking during LLM plan generation -- on average, for all non-empty plans, only 3.55 actions per plan are executable, despite symbolically-generated optimal plans having an average length of 9.47 actions, which suggests that LLMs are still far from the reliability of symbolic planners. Our suite of metrics is further used to investigate patterns in LLM plan generation over time, and can provide a useful metric for assessing the quality of individual invalid plans.
Figures & tables
| Domain | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Blocksworld | 0.3 | 0.34 | 0.43 | 0.49 | 9.52 | 0.37 | 2.33 | 0.32 | 5.41 | 0.46 | 1.0 |
| Blocksworld 3 | 0.56 | 0.7 | 0.73 | 0.83 | 2.8 | 0.77 | 3.07 | 0.58 | 1.91 | 0.81 | 1.0 |
| Elevator | 0.47 | 0.71 | 0.6 | 0.53 | 5.61 | 0.75 | 1.02 | 0.47 | 5.02 | 0.8 | 1.0 |
| Logistics | 0.12 | 0.15 | 0.33 | 0.32 | 14.54 | 0.17 | 0.43 | 0.13 | 12.71 | 0.25 | 1.0 |
| Satellite | 0.22 | 0.56 | 0.39 | 0.38 | 12.9 | 0.61 | 0.58 | 0.22 | 11.58 | 0.55 | 1.0 |
| Model | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Claude Opus 4.8 | 0.39 | 0.74 | 0.53 | 0.33 | 13.29 | 0.79 | 0.52 | 0.39 | 12.4 | 0.63 | 1.0 |
| GPT 6 Sol | 0.39 | 0.97 | 0.6 | 0.44 | 8.35 | 0.97 | 1.38 | 0.39 | 8.16 | 0.71 | 1.0 |
| Gemini 3.1 Pro | 0.39 | 0.54 | 0.53 | 0.43 | 9.03 | 0.55 | 0.58 | 0.39 | 9.16 | 0.5 | 1.0 |
| Gemini 3.8 Flash | 0.0 | 0.59 | 0.06 | 0.46 | 14.16 | 0.59 | 0.12 | 0.0 | 14.15 | 0.67 | 1.0 |
| Gemma 4 12B | 0.02 | 0.25 | 0.26 | 0.31 | 16.56 | 0.37 | 0.24 | 0.02 | 13.65 | 0.39 | 1.0 |
| Gemma 4 26B | 0.0 | 0.17 | 0.12 | 0.23 | 20.92 | 0.31 | 0.13 | 0.0 | 13.66 | 0.51 | 1.0 |
| Prompt Type | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| One-Shot | 0.1 | 0.44 | 0.33 | 0.39 | 14.3 | 0.53 | 0.6 | 0.1 | 12.71 | 0.49 | 1.0 |
| PDDL | 0.57 | 0.65 | 0.63 | 0.33 | 9.78 | 0.68 | 0.3 | 0.57 | 8.29 | 0.77 | 1.0 |
| CoT | 0.17 | 0.96 | 0.42 | 0.41 | 13.52 | 0.96 | 1.13 | 0.17 | 12.99 | 0.57 | 1.0 |
| Zero-Shot | 0.03 | 0.51 | 0.19 | 0.39 | 13.98 | 0.54 | 0.65 | 0.03 | 13.1 | 0.4 | 1.0 |
Appendix figures & tables27 assets
Supplementary material from the paper’s appendix.
Appendix
| Domain | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Blocksworld | 0.3 | 0.34 | 0.73 | 0.79 | 6.2 | 0.37 | 1.71 | 0.31 | 3.74 | 0.4 | 1.0 |
| Blocksworld 3 | 0.56 | 0.7 | 0.72 | 0.82 | 2.8 | 0.77 | 3.04 | 0.58 | 1.85 | 0.8 | 1.0 |
| Elevator | 0.47 | 0.71 | 0.6 | 0.55 | 5.3 | 0.75 | 1.39 | 0.47 | 4.35 | 0.81 | 1.0 |
| Logistics | 0.12 | 0.16 | 0.33 | 0.31 | 14.18 | 0.17 | 0.38 | 0.13 | 12.47 | 0.24 | 1.0 |
| Satellite | 0.22 | 0.56 | 0.39 | 0.38 | 12.87 | 0.61 | 0.81 | 0.22 | 11.53 | 0.54 | 1.0 |
| Model | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Claude Opus 4.8 | 0.54 | 0.65 | 0.72 | 0.64 | 6.57 | 0.68 | 2.28 | 0.55 | 5.74 | 0.67 | 1.0 |
| GPT 6 Sol | 0.52 | 0.73 | 0.75 | 0.68 | 4.96 | 0.73 | 2.16 | 0.52 | 4.99 | 0.69 | 1.0 |
| Gemini 3.1 Pro | 0.46 | 0.59 | 0.71 | 0.68 | 5.23 | 0.6 | 1.75 | 0.46 | 5.23 | 0.6 | 1.0 |
| Gemini 3.8 Flash | 0.41 | 0.64 | 0.54 | 0.8 | 6.36 | 0.64 | 2.22 | 0.41 | 6.36 | 0.67 | 1.0 |
| Gemma 4 12B | 0.1 | 0.23 | 0.38 | 0.4 | 11.22 | 0.32 | 0.62 | 0.12 | 9.22 | 0.37 | 1.0 |
| Gemma 4 26B | 0.08 | 0.18 | 0.27 | 0.37 | 17.04 | 0.29 | 0.71 | 0.11 | 8.33 | 0.43 | 1.0 |
| Task | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| One-Shot | 0.23 | 0.34 | 0.54 | 0.56 | 9.2 | 0.38 | 1.05 | 0.24 | 7.68 | 0.4 | 1.0 |
| PDDL | 0.58 | 0.69 | 0.68 | 0.64 | 7.07 | 0.73 | 2.32 | 0.6 | 4.73 | 0.82 | 1.0 |
| State Tracking | 0.39 | 0.57 | 0.58 | 0.61 | 6.38 | 0.62 | 2.1 | 0.4 | 6.03 | 0.64 | 1.0 |
| Zero-Shot | 0.16 | 0.39 | 0.43 | 0.54 | 9.43 | 0.41 | 0.87 | 0.16 | 7.87 | 0.37 | 1.0 |
| Action | (pick-up c) | (stack c a) | (stack b c) | (stack a b) | |
|---|---|---|---|---|---|
| Score | 0.28 | 1.00 | 0.50 | 0.09 | 0.47 |
| AQM | NP-AQM | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | (unstack c a) | 1 | (pick-up c) | 1 | same_act | 1 | same_act | 1 | (stack a b) | 1 | (stack c a) | 1 | (pick-up b) |
| 2 | (stack c a) | 2 | (stack c a) | 2 | correct | 2 | correct | 2 | (stack c a) | 2 | (stack b c) | 2 | (stack b c) |
| 3 | (pick-up b) | 3 | (stack b c) | 3 | misplaced | 3 | correct | 3 | (pick-up b) | ||||
| 4 | (stack b c) | 4 | (stack a b) | 4 | diff_act | 4 | diff_act | 4 | (stack b c) | ||||
| Metric | Score | Score | AQM | LLM StV | StV | LEA | LEA |
|---|---|---|---|---|---|---|---|
| Value | 0.4004 | 0.773 | 0.4688 | 3 | 1 | 0.0 | 0.0 |
| Metric | Validity | Validity | Validity | Validity | StV | LEA | Validity |
| Value | False | False | False | True | 0 | 1.0 | True |
| Metric | Description | Formal Definition |
|---|---|---|
| SR / Validity | Fraction of plans that reach the goal from all plans in an experiment. | |
| ER / Executability | Fraction of plans that follow domain constraints from all plans in an experiment. | |
| Score | Plan quality score based on similarity to and plan potential. The score of an experiment is the mean score for all s in that experiment. | where is the similarity score between and . |
| AQM Score | is the average quality of actions in the generated plan based on their assigned label. The AQM of an experiment is the mean AQM score for all s in that experiment. | , where is the label’s rank. |
| LEA | Propotion of the index of the last action in the plan that can be executed without violating domain constraints, out of the full plan length. The LEA of an experiment is the mean LEA for all s in that experiment. | , where are the preconditions for action . |
| StV | Number of stepwise modifications needed to transform the plan into . The StV of an experiment is the mean StV for all s in that experiment. | , where are the operations to achieve . |
| Parameter | Meaning | Values tried | Chosen |
|---|---|---|---|
| candidates assessed in full | 3, 5, 10, 20, 40 | 3 | |
| minimum shifts kept after preliminary scoring | fixed | 7 | |
| maximum shifts kept after preliminary scoring | 8, 15, 25, 50 | 25 | |
| keep shifts within this fraction of the best score | 0.05, 0.1, 0.2, 0.4 | 0.1 | |
| alternation iterations | 0, 1, 2, 4 | 2 |
| Domain | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Blocksworld 3 | 0.43 | 0.53 | 0.7 | 0.75 | 2.98 | 0.64 | 2.74 | 0.51 | 2.2 | 0.74 | 1.0 |
| Logistics | 0.32 | 0.45 | 0.5 | 0.5 | 12.54 | 0.54 | 1.25 | 0.34 | 11.31 | 0.63 | 1.0 |
| Model | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Claude 3.5 Haiku | 0.23 | 0.3 | 0.56 | 0.58 | 7.59 | 0.47 | 1.72 | 0.33 | 6.69 | 0.64 | 1.0 |
| Claude 3.7 Sonnet | 0.46 | 0.69 | 0.65 | 0.76 | 6.49 | 0.78 | 2.6 | 0.49 | 5.92 | 0.8 | 1.0 |
| Gemini 2.5 Flash | 0.26 | 0.5 | 0.53 | 0.66 | 8.33 | 0.66 | 1.96 | 0.3 | 7.33 | 0.7 | 1.0 |
| Gemini 2.5 Pro | 0.27 | 0.51 | 0.54 | 0.66 | 8.3 | 0.66 | 1.91 | 0.31 | 7.41 | 0.68 | 1.0 |
| Gemma 2 (2B) | 0.06 | 0.12 | 0.4 | 0.41 | 9.03 | 0.22 | 0.69 | 0.12 | 7.41 | 0.47 | 1.0 |
| O3 Mini | 0.74 | 0.74 | 0.83 | 0.75 | 6.08 | 0.8 | 3.17 | 0.8 | 5.27 | 0.85 | 1.0 |
| Task | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| One-Shot | 0.36 | 0.41 | 0.61 | 0.6 | 7.34 | 0.53 | 1.98 | 0.44 | 6.23 | 0.66 | 1.0 |
| PDDL | 0.42 | 0.44 | 0.64 | 0.61 | 7.6 | 0.55 | 2.09 | 0.47 | 6.47 | 0.67 | 1.0 |
| State Tracking | 0.26 | 0.66 | 0.5 | 0.7 | 7.22 | 0.74 | 1.83 | 0.29 | 6.97 | 0.73 | 1.0 |
| Zero-Shot | 0.47 | 0.48 | 0.65 | 0.62 | 8.1 | 0.57 | 2.23 | 0.51 | 6.6 | 0.69 | 1.0 |
| Prompt Type | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| One-Shot | 0.23 | 0.33 | 0.41 | 0.43 | 10.71 | 0.38 | 0.92 | 0.24 | 8.46 | 0.42 | 1.0 |
| PDDL | 0.58 | 0.68 | 0.68 | 0.65 | 7.29 | 0.73 | 2.35 | 0.59 | 5.05 | 0.82 | 1.0 |
| State Tracking | 0.39 | 0.57 | 0.58 | 0.63 | 6.33 | 0.62 | 2.52 | 0.4 | 5.98 | 0.65 | 1.0 |
| Zero-Shot | 0.16 | 0.39 | 0.32 | 0.42 | 10.83 | 0.41 | 0.92 | 0.16 | 8.92 | 0.4 | 1.0 |
| Prompt Type | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| One-Shot | 0.51 | 0.64 | 0.71 | 0.8 | 3.01 | 0.72 | 2.84 | 0.54 | 2.23 | 0.74 | 1.0 |
| PDDL | 0.63 | 0.76 | 0.79 | 0.88 | 2.52 | 0.82 | 3.53 | 0.67 | 1.44 | 0.87 | 1.0 |
| State Tracking | 0.49 | 0.68 | 0.69 | 0.81 | 2.31 | 0.76 | 2.81 | 0.5 | 2.12 | 0.8 | 1.0 |
| Zero-Shot | 0.64 | 0.78 | 0.73 | 0.86 | 3.45 | 0.8 | 3.28 | 0.65 | 1.67 | 0.84 | 1.0 |
| Prompt Type | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| One-Shot | 0.0 | 0.0 | 0.14 | 0.18 | 14.43 | 0.01 | 0.01 | 0.02 | 8.24 | 0.12 | 1.0 |
| PDDL | 0.62 | 0.73 | 0.73 | 0.83 | 7.26 | 0.78 | 4.87 | 0.64 | 2.47 | 0.88 | 1.0 |
| State Tracking | 0.69 | 0.75 | 0.79 | 0.85 | 2.28 | 0.81 | 5.18 | 0.71 | 1.99 | 0.84 | 1.0 |
| Zero-Shot | 0.0 | 0.0 | 0.14 | 0.21 | 12.09 | 0.01 | 0.0 | 0.01 | 7.98 | 0.11 | 1.0 |
| Prompt Type | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| One-Shot | 0.0 | 0.02 | 0.23 | 0.23 | 16.46 | 0.02 | 0.02 | 0.0 | 14.63 | 0.03 | 1.0 |
| PDDL | 0.47 | 0.58 | 0.59 | 0.57 | 11.66 | 0.63 | 1.66 | 0.5 | 8.81 | 0.78 | 1.0 |
| State Tracking | 0.0 | 0.0 | 0.25 | 0.25 | 14.01 | 0.0 | 0.03 | 0.0 | 13.45 | 0.16 | 1.0 |
| Zero-Shot | 0.0 | 0.01 | 0.23 | 0.24 | 15.56 | 0.01 | 0.01 | 0.0 | 13.71 | 0.03 | 1.0 |
| Prompt Type | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| One-Shot | 0.57 | 0.61 | 0.68 | 0.53 | 4.76 | 0.67 | 1.09 | 0.57 | 4.34 | 0.77 | 1.0 |
| PDDL | 0.6 | 0.71 | 0.68 | 0.62 | 4.92 | 0.73 | 1.27 | 0.61 | 4.02 | 0.81 | 1.0 |
| State Tracking | 0.39 | 0.91 | 0.63 | 0.53 | 5.96 | 0.93 | 1.42 | 0.39 | 5.66 | 0.93 | 1.0 |
| Zero-Shot | 0.02 | 0.82 | 0.23 | 0.38 | 8.6 | 0.89 | 0.2 | 0.02 | 8.04 | 0.79 | 1.0 |
| Model | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Claude Opus 4.8 | 0.54 | 0.65 | 0.66 | 0.59 | 7.47 | 0.68 | 2.32 | 0.55 | 6.36 | 0.68 | 1.0 |
| GPT 6 Sol | 0.52 | 0.73 | 0.66 | 0.6 | 6.23 | 0.73 | 2.3 | 0.52 | 5.74 | 0.72 | 1.0 |
| Gemini 3.1 Pro | 0.46 | 0.59 | 0.6 | 0.59 | 6.8 | 0.6 | 1.83 | 0.46 | 6.24 | 0.61 | 1.0 |
| Gemini 3.8 Flash | 0.41 | 0.64 | 0.48 | 0.68 | 6.65 | 0.64 | 2.34 | 0.41 | 6.6 | 0.68 | 1.0 |
| Gemma 4 12B | 0.1 | 0.23 | 0.35 | 0.37 | 11.7 | 0.32 | 0.59 | 0.12 | 9.63 | 0.38 | 1.0 |
| Gemma 4 26B | 0.07 | 0.18 | 0.26 | 0.36 | 17.47 | 0.28 | 0.71 | 0.1 | 8.82 | 0.44 | 1.0 |
| Model | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Claude Opus 4.8 | 1.0 | 1.0 | 0.99 | 1.0 | 0.03 | 1.0 | 5.0 | 1.0 | 0.02 | 1.0 | 1.0 |
| GPT 6 Sol | 1.0 | 1.0 | 1.0 | 1.0 | 0.0 | 1.0 | 4.95 | 1.0 | 0.0 | 1.0 | 1.0 |
| Gemini 3.1 Pro | 0.34 | 0.95 | 0.57 | 0.99 | 2.6 | 0.95 | 2.22 | 0.34 | 2.6 | 1.0 | 1.0 |
| Gemini 3.8 Flash | 1.0 | 1.0 | 1.0 | 1.0 | 0.0 | 1.0 | 5.0 | 1.0 | 0.0 | 1.0 | 1.0 |
| Gemma 4 12B | 0.16 | 0.32 | 0.56 | 0.61 | 4.11 | 0.45 | 1.37 | 0.22 | 3.8 | 0.53 | 1.0 |
| Gemma 4 26B | 0.14 | 0.36 | 0.43 | 0.62 | 8.89 | 0.51 | 1.46 | 0.2 | 3.78 | 0.61 | 1.0 |
| Model | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Claude Opus 4.8 | 0.55 | 0.55 | 0.63 | 0.64 | 5.24 | 0.57 | 3.99 | 0.58 | 3.57 | 0.65 | 1.0 |
| GPT 6 Sol | 0.44 | 0.44 | 0.53 | 0.54 | 7.12 | 0.45 | 3.13 | 0.46 | 4.57 | 0.52 | 1.0 |
| Gemini 3.1 Pro | 0.5 | 0.5 | 0.58 | 0.59 | 6.36 | 0.51 | 3.66 | 0.51 | 4.13 | 0.57 | 1.0 |
| Gemini 3.8 Flash | 0.32 | 0.46 | 0.44 | 0.62 | 5.12 | 0.47 | 2.41 | 0.32 | 4.96 | 0.55 | 1.0 |
| Gemma 4 12B | 0.02 | 0.03 | 0.25 | 0.29 | 12.22 | 0.12 | 0.46 | 0.05 | 7.72 | 0.2 | 1.0 |
| Gemma 4 26B | 0.03 | 0.11 | 0.2 | 0.3 | 26.94 | 0.21 | 0.83 | 0.06 | 7.18 | 0.38 | 1.0 |
| Model | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Claude Opus 4.8 | 0.14 | 0.14 | 0.4 | 0.34 | 14.89 | 0.18 | 0.56 | 0.16 | 12.22 | 0.23 | 1.0 |
| GPT 6 Sol | 0.25 | 0.25 | 0.51 | 0.41 | 11.76 | 0.26 | 0.78 | 0.25 | 11.99 | 0.44 | 1.0 |
| Gemini 3.1 Pro | 0.25 | 0.25 | 0.48 | 0.37 | 11.85 | 0.25 | 0.7 | 0.25 | 11.73 | 0.25 | 1.0 |
| Gemini 3.8 Flash | 0.03 | 0.33 | 0.13 | 0.45 | 13.78 | 0.33 | 0.31 | 0.03 | 13.78 | 0.38 | 1.0 |
| Gemma 4 12B | 0.06 | 0.08 | 0.25 | 0.26 | 15.91 | 0.1 | 0.27 | 0.08 | 13.47 | 0.19 | 1.0 |
| Gemma 4 26B | 0.02 | 0.02 | 0.17 | 0.22 | 19.64 | 0.06 | 0.22 | 0.03 | 13.61 | 0.19 | 1.0 |
| Model | SR | ER | Score | AQM | StV | LEA | SR | StV | LEA | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Claude Opus 4.8 | 0.57 | 0.84 | 0.69 | 0.56 | 4.52 | 0.87 | 1.0 | 0.58 | 4.26 | 0.89 | 1.0 |
| GPT 6 Sol | 0.53 | 0.99 | 0.66 | 0.63 | 3.52 | 0.99 | 1.34 | 0.53 | 3.45 | 0.94 | 1.0 |
| Gemini 3.1 Pro | 0.97 | 0.99 | 0.97 | 0.68 | 1.05 | 0.99 | 1.83 | 0.97 | 1.05 | 0.99 | 1.0 |
| Gemini 3.8 Flash | 0.09 | 0.64 | 0.21 | 0.64 | 7.95 | 0.64 | 0.66 | 0.09 | 7.91 | 0.63 | 1.0 |
| Gemma 4 12B | 0.24 | 0.49 | 0.41 | 0.37 | 8.61 | 0.57 | 0.57 | 0.24 | 7.7 | 0.64 | 1.0 |
| Gemma 4 26B | 0.18 | 0.25 | 0.34 | 0.32 | 11.47 | 0.38 | 0.47 | 0.18 | 7.87 | 0.58 | 1.0 |
| Domain | Model | prompt type | SR | Score | AQM | StV | LEA | SR | LEA | SR | SR | StV | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Blocksworld | Claude Opus 4.8 | One-Shot | 0.00 | 0.15 | 0.18 | 12.85 | 0.00 | 0.01 | 0.00 | 0.00 | 0.01 | 0.03 | 8.25 | 1.00 |
| Blocksworld | Claude Opus 4.8 | PDDL | 0.90 | 0.92 | 0.92 | 0.98 | 6.60 | 0.96 | 0.90 | 0.95 | 0.92 | 0.92 | 0.70 | 1.00 |
| Blocksworld | Claude Opus 4.8 | State Tracking | 0.90 | 0.94 | 0.94 | 0.74 | 6.54 | 0.92 | 0.90 | 0.92 | 0.98 | 0.95 | 0.49 | 1.00 |
| Blocksworld | Claude Opus 4.8 | Zero-Shot | 0.00 | 0.20 | 0.23 | 9.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.03 | 8.00 | 1.00 |
| Blocksworld 3 | Claude Opus 4.8 | One-Shot | 1.00 | 0.99 | 1.00 | 0.02 | 5.08 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 0.02 | 1.00 |
| Blocksworld 3 | Claude Opus 4.8 | PDDL | 0.99 | 0.98 | 0.99 | 0.05 | 5.04 | 0.99 | 0.99 | 0.99 | 1.00 | 1.00 | 0.00 | 1.00 |
| Domain | Model | prompt type | SR | Score | AQM | StV | LEA | SR | LEA | SR | SR | StV | SR | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Blocksworld | Gemma 4 12B | One-Shot | 0.00 | 0.15 | 0.17 | 14.40 | 0.01 | 0.01 | 0.00 | 0.01 | 0.01 | 0.02 | 8.35 | 1.00 |
| Blocksworld | Gemma 4 12B | PDDL | 0.05 | 0.43 | 0.48 | 9.68 | 1.36 | 0.31 | 0.05 | 0.24 | 0.09 | 0.09 | 6.91 | 1.00 |
| Blocksworld | Gemma 4 12B | State Tracking | 0.08 | 0.52 | 0.59 | 5.50 | 1.58 | 0.39 | 0.08 | 0.25 | 0.17 | 0.17 | 6.08 | 1.00 |
| Blocksworld | Gemma 4 12B | Zero-Shot | 0.00 | 0.17 | 0.17 | 12.00 | 0.00 | 0.03 | 0.00 | 0.03 | 0.00 | 0.00 | 6.00 | 1.00 |
| Blocksworld 3 | Gemma 4 12B | One-Shot | 0.20 | 0.60 | 0.62 | 4.23 | 1.54 | 0.47 | 0.24 | 0.42 | 0.24 | 0.28 | 3.60 | 1.00 |
| Blocksworld 3 | Gemma 4 12B | PDDL | 0.12 | 0.56 | 0.57 | 4.00 | 1.20 | 0.34 | 0.17 | 0.33 | 0.17 | 0.24 | 4.14 | 1.00 |
LLM Planning
Large language model planning studies how models decompose goals, choose actions, and revise plans under constraints.
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