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Main Authors: Pacheco, Maria Leonor, Somenzi, Fabio, Srinivas, Dananjay, Trivedi, Ashutosh
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.14294
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author Pacheco, Maria Leonor
Somenzi, Fabio
Srinivas, Dananjay
Trivedi, Ashutosh
author_facet Pacheco, Maria Leonor
Somenzi, Fabio
Srinivas, Dananjay
Trivedi, Ashutosh
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_14294
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Explaining Hitori Puzzles: Neurosymbolic Proof Staging for Sequential Decisions
Pacheco, Maria Leonor
Somenzi, Fabio
Srinivas, Dananjay
Trivedi, Ashutosh
Artificial Intelligence
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.
title Explaining Hitori Puzzles: Neurosymbolic Proof Staging for Sequential Decisions
topic Artificial Intelligence
url https://arxiv.org/abs/2508.14294