pretty_name: Combi-Puzzles Dataset
license: mit
language:
- en
size_categories:
- n<1K
task_categories:
- text-generation
tags:
- maths
- combinatorics
- llms
Combi-Puzzles Dataset
This repository contains the Combi-Puzzles dataset used in the research paper titled "Can Language Models Rival Mathematics Students? Evaluating Mathematical Reasoning through Textual Manipulation and Human Experiments." These variations are designed to evaluate problem-solving strategies across different formats.
Dataset Description
The Combi-Puzzles dataset includes 125 problems:
- 25 Base Combinatorial Problems: Covers permutations, combinations, rules of addition/multiplication, and object arrangements.
- 5 Variations per Problem:
- Common: Standard textbook form.
- Mathematical: Academic, technical presentation.
- Adversarial: Includes additional irrelevant numerical information.
- Parameterisation: Altered numerical parameters.
- Linguistic Obfuscation: Narrative fictional stories with problem context and irrelevant information.
JSON file structure
| Field | Type | Description |
|---|---|---|
id |
integer | Unique identifier for this problem entry. |
versions |
array of object | All textual variants of the problem. |
versions[].version |
string | Label for the problem variant. |
versions[].problem_statement |
string | The problem text or template; may contain $paramX$ placeholders. |
parameters |
array of object | Concrete parameter-sets to fill into templates in some versions. |
parameters[].group_id |
integer | Identifier grouping together sets of param1–param4 values. |
parameters[].param1 |
integer or string | First placeholder value. |
parameters[].param2 |
integer or string | Second placeholder value. |
parameters[].param3 |
integer or string | Third placeholder value. |
parameters[].param4 |
integer or string | Fourth placeholder value. |
Problem Example
The image above illustrates an example of a combinatorial problem and its variations. The highlighted text indicates content modifications based on the common version. The mathematical and linguistic obfuscation variations constitute the new text.
Additional Information
The Combi-Puzzles dataset contains problems that have parameters expressed in string format (e.g. 12 as "twelve"):
- Problems' ID with String Parameters: 6, 12, 19, 20.
Usage
You are encouraged to use this dataset to further evaluate problem-solving strategies in LLMs or other domains. Please cite our paper if you publish material based on this dataset.
License
This dataset is licensed under the MIT License. See the LICENSE file for more details.
Citation
Please cite the following if you use the dataset in your work:
@misc{nikolaiev2024languagemodelsrivalmathematics,
title={Can Language Models Rival Mathematics Students? Evaluating Mathematical Reasoning through Textual Manipulation and Human Experiments},
author={Andrii Nikolaiev and Yiannos Stathopoulos and Simone Teufel},
year={2024},
eprint={2412.11908},
archivePrefix={arXiv},
primaryClass={cs.CL},
url={https://arxiv.org/abs/2412.11908},
}