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The Boolean Satisfiability (SAT) problem is the canonical NP-complete problem and is fundamental to computer science, with a wide array of applications in planning, verification, and theorem proving. Developing and evaluating practical SAT…

Machine Learning · Computer Science 2019-10-31 Jiaxuan You , Haoze Wu , Clark Barrett , Raghuram Ramanujan , Jure Leskovec

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

Artificial Intelligence · Computer Science 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin

Boolean satisfiability (SAT) is a fundamental NP-complete problem with many applications, including automated planning and scheduling. To solve large instances, SAT solvers have to rely on heuristics, e.g., choosing a branching variable in…

Artificial Intelligence · Computer Science 2023-07-19 Mikhail Shirokikh , Ilya Shenbin , Anton Alekseev , Sergey Nikolenko

In this short paper we present a survey of some results concerning the random SAT problems. To elaborate, the Boolean Satisfiability (SAT) Problem refers to the problem of determining whether a given set of $m$ Boolean constraints over $n$…

Probability · Mathematics 2023-11-07 Andreas Basse-O'Connor , Tobias Lindhardt Overgaard , Mette Skjøtt

Applying deep learning to solve real-life instances of hard combinatorial problems has tremendous potential. Research in this direction has focused on the Boolean satisfiability (SAT) problem, both because of its theoretical centrality and…

Artificial Intelligence · Computer Science 2023-06-06 Dimitris Achlioptas , Amrit Daswaney , Periklis A. Papakonstantinou

In this paper we present a new approach to solve the satisfiability problem (SAT), based on boolean networks (BN). We define a mapping between a SAT instance and a BN, and we solve SAT problem by simulating the BN dynamics. We prove that BN…

Artificial Intelligence · Computer Science 2011-02-01 Andrea Roli , Michela Milano

Learning-based approaches to NP-hard problems have shown increasing promise, but their progress is fundamentally constrained by the high cost of generating labeled training data. In domains such as Boolean satisfiability (SAT), standard…

Machine Learning · Computer Science 2026-05-11 Eshed Gal , Uri Ascher , Eldad Haber

Satisfiability of boolean formulae (SAT) has been a topic of research in logic and computer science for a long time. In this paper we are interested in understanding the structure of satisfiable and unsatisfiable sentences. In previous work…

Combinatorics · Mathematics 2021-05-25 Vaibhav Karve , Anil N. Hirani

This paper introduces SATformer, a novel Transformer-based approach for the Boolean Satisfiability (SAT) problem. Rather than solving the problem directly, SATformer approaches the problem from the opposite direction by focusing on…

Artificial Intelligence · Computer Science 2024-03-13 Zhengyuan Shi , Min Li , Yi Liu , Sadaf Khan , Junhua Huang , Hui-Ling Zhen , Mingxuan Yuan , Qiang Xu

The Boolean satisfiability problem (SAT) holds a central place in computational complexity theory as the first shown NP-complete problem. Due to this role, SAT is often used as the benchmark for polynomial-time reductions: if a problem can…

Logic in Computer Science · Computer Science 2025-10-21 Yumiko Nishiyama

Boolean satisfiability ({\SAT}) has played a key role in diverse areas spanning testing, formal verification, planning, optimization, inferencing and the like. Apart from the classical problem of checking boolean satisfiability, the…

Logic in Computer Science · Computer Science 2014-04-29 Kuldeep S. Meel

Boolean satisfiability problem (SAT) is fundamental to many applications. Existing works have used graph neural networks (GNNs) for (approximate) SAT solving. Typical GNN-based end-to-end SAT solvers predict SAT solutions concurrently. We…

Artificial Intelligence · Computer Science 2023-04-19 Zhiyuan Yan , Min Li , Zhengyuan Shi , Wenjie Zhang , Yingcong Chen , Hongce Zhang

Boolean satisfiability is a propositional logic problem of interest in multiple fields, e.g., physics, mathematics, and computer science. Beyond a field of research, instances of the SAT problem, as it is known, require efficient solution…

Emerging Technologies · Computer Science 2020-11-13 S. R. B. Bearden , Y. R. Pei , M. Di Ventra

We present DeepSAT, a novel end-to-end learning framework for the Boolean satisfiability (SAT) problem. Unlike existing solutions trained on random SAT instances with relatively weak supervision, we propose applying the knowledge of the…

Artificial Intelligence · Computer Science 2023-01-23 Min Li , Zhengyuan Shi , Qiuxia Lai , Sadaf Khan , Shaowei Cai , Qiang Xu

Boolean satisfiability (SAT) has an extensive application domain in computer science, especially in electronic design automation applications. Circuit synthesis, optimization, and verification problems can be solved by transforming original…

Artificial Intelligence · Computer Science 2016-03-18 Te-Hsuan Chen , Ju-Yi Lu

The Maximum Satisfiability (MaxSAT) problem is the problem of finding a truth assignment that maximizes the number of satisfied clauses of a given Boolean formula in Conjunctive Normal Form (CNF). Many exact solvers for MaxSAT have been…

Artificial Intelligence · Computer Science 2018-06-13 Mohamed El Halaby

Boolean Satisfiability (SAT) problems are expressed as mathematical formulas. This paper presents a matrix representation for these SAT problems. It shows how to use this matrix representation to get the full set of valid satisfying…

Computational Complexity · Computer Science 2025-05-20 Paul W. Homer

Many constraint satisfaction and optimisation problems can be solved effectively by encoding them as instances of the Boolean Satisfiability problem (SAT). However, even the simplest types of constraints have many encodings in the…

Artificial Intelligence · Computer Science 2023-11-09 Felix Ulrich-Oltean , Peter Nightingale , James Alfred Walker

The Boolean Satisfiability (SAT) problem stands out as an attractive NP-complete problem in theoretic computer science and plays a central role in a broad spectrum of computing-related applications. Exploiting and tuning SAT solvers under…

Machine Learning · Computer Science 2024-09-25 Weihuang Wen , Tianshu Yu

The Circuit Satisfiability (CSAT) problem, a variant of the Boolean Satisfiability (SAT) problem, plays a critical role in integrated circuit design and verification. However, existing SAT solvers, optimized for Conjunctive Normal Form…

Logic in Computer Science · Computer Science 2025-07-03 Zhengyuan Shi , Tiebing Tang , Jiaying Zhu , Sadaf Khan , Hui-Ling Zhen , Mingxuan Yuan , Zhufei Chu , Qiang Xu
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