Explaining Hitori Puzzles: Neurosymbolic Proof Staging for Sequential Decisions

Maria Leonor Pacheco, Fabio Somenzi, Dananjay Srinivas, Ashutosh Trivedi
8/19/2025
cs.AI

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Abstract

We propose a neurosymbolic approach to the explanation of complex sequences of decisions that combines the strengths of decision procedures and Large Language Models (LLMs). We demonstrate this approach by producing explanations for the solutions of Hitori puzzles. The rules of Hitori include local constraints that are effectively explained by short resolution proofs. However, they also include a connectivity constraint that is more suitable for visual explanations. Hence, Hitori provides an excellent testing ground for a flexible combination of SAT solvers and LLMs. We have implemented a tool that assists humans in solving Hitori puzzles, and we present experimental evidence of its effectiveness.

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Cite this paper

@article{pacheco2025explaining,
  title  = {Explaining Hitori Puzzles: Neurosymbolic Proof Staging for Sequential Decisions},
  author = {Maria Leonor Pacheco and Fabio Somenzi and Dananjay Srinivas and Ashutosh Trivedi},
  year   = {2025},
  eprint = {2508.14294},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2508.14294v1}
}

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