Explaining Puzzle Solutions in Natural Language: An Exploratory Study on 6x6 Sudoku

Anirudh Maiya, Razan Alghamdi, Maria Leonor Pacheco, Ashutosh Trivedi, Fabio Somenzi


Abstract
The success of Large Language Models (LLMs) in human-AI collaborative decision-making hinges on their ability to provide trustworthy, gradual, and tailored explanations. Solving complex puzzles, such as Sudoku, offers a canonical example of this collaboration, where clear and customized explanations often hold greater importance than the final solution. In this study, we evaluate the performance of five LLMs in solving and explaining 6x6 Sudoku puzzles. While one LLM demonstrates limited success in solving puzzles, none can explain the solution process in a manner that reflects strategic reasoning or intuitive problem-solving. These findings underscore significant challenges that must be addressed before LLMs can become effective partners in human-AI collaborative decision-making.
Anthology ID:
2025.findings-acl.155
Volume:
Findings of the Association for Computational Linguistics: ACL 2025
Month:
July
Year:
2025
Address:
Vienna, Austria
Editors:
Wanxiang Che, Joyce Nabende, Ekaterina Shutova, Mohammad Taher Pilehvar
Venue:
Findings
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
3002–3009
Language:
URL:
https://preview.aclanthology.org/display_plenaries/2025.findings-acl.155/
DOI:
Bibkey:
Cite (ACL):
Anirudh Maiya, Razan Alghamdi, Maria Leonor Pacheco, Ashutosh Trivedi, and Fabio Somenzi. 2025. Explaining Puzzle Solutions in Natural Language: An Exploratory Study on 6x6 Sudoku. In Findings of the Association for Computational Linguistics: ACL 2025, pages 3002–3009, Vienna, Austria. Association for Computational Linguistics.
Cite (Informal):
Explaining Puzzle Solutions in Natural Language: An Exploratory Study on 6x6 Sudoku (Maiya et al., Findings 2025)
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PDF:
https://preview.aclanthology.org/display_plenaries/2025.findings-acl.155.pdf