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Paper · arXiv

GaloisSAT: Differentiable Boolean Satisfiability Solving via Finite Field Algebra

Boolean satisfiability (SAT) problem, the first problem proven to be NP-complete, has become a fundamental challenge in computational complexity, with widespread applications in optimization and verification across many domains. Despite significant algorithmic advances over the past two decades, the performance of SAT solvers has improved at a limited pace. Notably, the 2025 competition winner shows only about a 2X improvement over the 2006 winner in SAT Competition performance after nearly 20 years of effort. This paper introduces GaloisSAT, a novel hybrid GPU-CPU SAT solver that integrates a differentiable SAT solving engine powered by modern machine learning infrastructure on GPUs, fol...

AuthorsCurie Kim, Carsten Portner, Mingju Liu et al.
Primary categorycs.LO
Published25 March 2026
Last updated at source25 March 2026
cs.LOcs.AI
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