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Boolean Satisfiability problems are vital components in Electronic Design Automation, particularly within the Logic Equivalence Checking process. Currently, SAT solvers are employed for these problems and neural network is tried as…

Artificial Intelligence · Computer Science 2024-03-07 Tsz Ho Chan , Wenyi Xiao , Junhua Huang , Huiling Zhen , Guangji Tian , Mingxuan Yuan

Wepropose SplitGNN, a graph neural network (GNN)-based approach that learns to solve weighted maximum satisfiabil ity (MaxSAT) problem. SplitGNN incorporates a co-training architecture consisting of supervised message passing mech anism and…

Machine Learning · Computer Science 2025-11-26 Kaidi Wan , Minghao Liu , Yong Lai

The Model-Constructing Satisfiability Calculus (MCSAT) framework has been applied to SMT problems over various arithmetic theories. NLSAT, an implementation using cylindrical algebraic decomposition (CAD) for explanation, is especially…

Symbolic Computation · Computer Science 2025-09-30 Zhonghan Wang

We propose ImitSAT, a branching policy for conflict-driven clause learning (CDCL) solvers based on imitation learning for the Boolean satisfiability problem (SAT). Unlike previous methods that predict instance-level signals to improve CDCL…

Artificial Intelligence · Computer Science 2026-02-24 Zewei Zhang , Huan Liu , Yuanhao Yu , Jun Chen , Xiangyu Xu

Graph Neural Networks (GNNs) have been recently leveraged to solve several logical reasoning tasks. Nevertheless, counting problems such as propositional model counting (#SAT) are still mostly approached with traditional solvers. Here we…

Artificial Intelligence · Computer Science 2022-05-10 Gaia Saveri , Luca Bortolussi

In this work, we present a novel technique for GPU-accelerated Boolean satisfiability (SAT) sampling. Unlike conventional sampling algorithms that directly operate on conjunctive normal form (CNF), our method transforms the logical…

Artificial Intelligence · Computer Science 2025-02-14 Arash Ardakani , Minwoo Kang , Kevin He , Qijing Huang , John Wawrzynek

Over the last two decades, we have seen a dramatic improvement in the efficiency of conflict-driven clause-learning Boolean satisfiability (CDCL SAT) solvers on industrial problems from a variety of domains. The availability of such…

Logic in Computer Science · Computer Science 2020-05-28 Saeed Nejati , Vijay Ganesh

Generating diverse solutions to the Boolean Satisfiability Problem (SAT) is a hard computational problem with practical applications for testing and functional verification of software and hardware designs. We explore the way to generate…

Artificial Intelligence · Computer Science 2022-12-02 Karlis Freivalds , Sergejs Kozlovics

The Boolean Satisfiability problem (SAT), as the prototypical $\mathsf{NP}$-complete problem, is crucial in both theoretical computer science and practical applications. To address this problem, stochastic local search (SLS) algorithms,…

Artificial Intelligence · Computer Science 2026-04-17 Maximilian J. Kramer , Paul Boes , Jens Eisert

We present Graph-$Q$-SAT, a branching heuristic for a Boolean SAT solver trained with value-based reinforcement learning (RL) using Graph Neural Networks for function approximation. Solvers using Graph-$Q$-SAT are complete SAT solvers that…

Machine Learning · Computer Science 2020-11-26 Vitaly Kurin , Saad Godil , Shimon Whiteson , Bryan Catanzaro

We describe a SAT solver using both the GPU (CUDA) and the CPU with a new clause exchange strategy. The CPU runs a classic multithreaded CDCL SAT solver. EachCPU thread exports all the clauses it learns to the GPU. The GPU makes a heavy…

Artificial Intelligence · Computer Science 2020-12-08 Nicolas Prevot

Boolean Satisfiability (SAT) is a well-known NP-complete problem. Despite this theoretical hardness, SAT solvers based on Conflict Driven Clause Learning (CDCL) can solve large SAT instances from many important domains. CDCL learns clauses…

Artificial Intelligence · Computer Science 2021-05-12 Md Solimul Chowdhury , Martin Müller , Jia You

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

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

Propositional satisfiability (SAT) is at the nucleus of state-of-the-art approaches to a variety of computationally hard problems, one of which is cryptanalysis. Moreover, a number of practical applications of SAT can only be tackled…

Artificial Intelligence · Computer Science 2018-03-14 Alexander Semenov , Oleg Zaikin , Ilya Otpuschennikov , Stepan Kochemazov , Alexey Ignatiev

Knowledge graph completion (KGC) aims to infer new knowledge and make predictions from knowledge graphs. Recently, large language models (LLMs) have exhibited remarkable reasoning capabilities. LLM-enhanced KGC methods primarily focus on…

Computation and Language · Computer Science 2025-09-03 Yu Liu , Yanan Cao , Xixun Lin , Yanmin Shang , Shi Wang , Shirui Pan

Boolean Satisfiability Problem (SAT) is one of the core problems in computer science. As one of the fundamental NP-complete problems, it can be used - by known reductions - to represent instances of variety of hard decision problems.…

Data Structures and Algorithms · Computer Science 2019-11-05 Michał Karpiński

There have been recent efforts for incorporating Graph Neural Network models for learning full-stack solvers for constraint satisfaction problems (CSP) and particularly Boolean satisfiability (SAT). Despite the unique representational power…

Machine Learning · Computer Science 2019-03-06 Saeed Amizadeh , Sergiy Matusevych , Markus Weimer

Boolean Satisfiability (SAT) problems are critical in fields such as artificial intelligence and cryptography, where efficient solutions are essential. Conventional probabilistic solvers often encounter scalability issues due to complex…

In this paper we explore whether or not deep neural architectures can learn to classify Boolean satisfiability (SAT). We devote considerable time to discussing the theoretical properties of SAT. Then, we define a graph representation for…

Artificial Intelligence · Computer Science 2017-02-14 Benedikt Bünz , Matthew Lamm