| --- |
| license: apache-2.0 |
| language: |
| - en |
| pretty_name: ComBench |
| task_categories: |
| - text-generation |
| tags: |
| - mathematics |
| - combinatorics |
| - olympiad |
| - reasoning |
| - benchmark |
| paperswithcode_id: |
| --- |
| |
| # ComBench |
|
|
| ComBench is an Olympiad-level combinatorics benchmark for evaluating rigorous |
| proof reasoning and constructive realization in large language models. It |
| contains 100 human-annotated competition-level problems: |
|
|
| - 50 analysis-centric records in `data/analysis.jsonl` |
| - 50 construction-centric records in `data/construction.jsonl` |
|
|
| Construction-centric records additionally include explicit construction |
| instructions, reference constructions, and deterministic Python verifiers. |
|
|
| ## Usage |
|
|
| Install the Hugging Face `datasets` package and load ComBench directly from the |
| Hub: |
|
|
| ```python |
| from datasets import load_dataset |
| |
| dataset = load_dataset("Simplified-Reasoning/ComBench") |
| print(dataset) |
| ``` |
|
|
| The dataset can also be loaded from the raw JSONL files in this repository: |
|
|
| ```python |
| from datasets import load_dataset |
| |
| dataset = load_dataset( |
| "json", |
| data_files={ |
| "analysis": "data/analysis.jsonl", |
| "construction": "data/construction.jsonl", |
| }, |
| ) |
| ``` |
|
|
| ## Fields |
|
|
| Common fields: |
|
|
| - `id`: problem identifier used by ComBench. |
| - `split`: `analysis` or `construction`. |
| - `source`: normalized contest source identifier. |
| - `category`: primary combinatorics category. |
| - `query`: problem statement. |
| - `ref_answer`: reference final answer when a concise final answer is applicable. |
| - `ref_solution`: reference solution. |
| - `grading_guidelines`: rubric used for proof grading. |
|
|
| Construction-centric fields: |
|
|
| - `instruction`: explicit construction task. |
| - `ref_construction`: reference witness. |
| - `verify_code`: deterministic Python verifier for checking a construction. |
|
|
| Per-problem category metadata is also provided in `metadata/categories.csv`. |
|
|
| ## Safety Note |
|
|
| The `verify_code` field is executable Python code. It is released as benchmark |
| metadata for deterministic construction verification. Execute it only in a |
| sandboxed environment. |
|
|
| ## Links |
|
|
| - Paper: https://arxiv.org/abs/2606.10479 |
| - Project page: https://simplified-reasoning.github.io/ComBench/docs/ |
| - GitHub: https://github.com/Simplified-Reasoning/ComBench |
| - Hugging Face paper page: https://huggingface.co/papers/2606.10479 |
|
|
| ## Citation |
|
|
| ```bibtex |
| @misc{combench2026, |
| title = {ComBench: A Benchmark for Rigorous Proof Reasoning and Constructive Realization in Olympiad-Level Combinatorics}, |
| author = {Zhang, Shunkai and Zhang, Haoran and Luo, Yun and Cheng, Qianjia and Lei, Haodi and Li, Yizhuo and Zhan, Runzhe and Wang, Zhilin and Xu, Bangjie and Su, Yucheng and Han, Xinmiao and Qu, Xiaoye and Liu, Dongrui and Lin, Zhouchen and Qiao, Yu and Ding, Ning and Li, Yafu and Cheng, Yu}, |
| year = {2026}, |
| eprint = {2606.10479}, |
| archivePrefix = {arXiv}, |
| primaryClass = {cs.AI}, |
| url = {https://arxiv.org/abs/2606.10479} |
| } |
| ``` |
|
|
