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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,…

人工智能 · 计算机科学 2026-04-17 Maximilian J. Kramer , Paul Boes , Jens Eisert

The Boolean satisfiability (SAT) problem is a computationally challenging decision problem central to many industrial applications. For SAT problems in cryptanalysis, circuit design, and telecommunication, solutions can often be found more…

Propositional satisfiability (SAT) solvers, which typically operate using conjunctive normal form (CNF), have been successfully applied in many domains. However, in some application areas such as circuit verification, bounded model…

计算机科学中的逻辑 · 计算机科学 2013-11-19 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Existing methods provide varying algorithms for different types of Boolean satisfiability problems (SAT), lacking a general solution framework. Accordingly, this study proposes a unified framework DCSAT based on integer programming and…

人工智能 · 计算机科学 2023-12-29 Anqi Li , Congying Han , Tiande Guo , Haoran Li , Bonan Li

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…

人工智能 · 计算机科学 2016-03-18 Te-Hsuan Chen , Ju-Yi Lu

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…

人工智能 · 计算机科学 2023-04-19 Zhiyuan Yan , Min Li , Zhengyuan Shi , Wenjie Zhang , Yingcong Chen , Hongce Zhang

Boolean Satisfiability (SAT) is arguably the archetypical NP-complete decision problem. Progress in SAT solving algorithms has motivated an ever increasing number of practical applications in recent years. However, many practical uses of…

计算机科学中的逻辑 · 计算机科学 2014-02-17 Joao Marques-Silva , Mikolas Janota

The Boolean satisfiability problem (SAT) is a famous NP-complete problem in computer science. An effective way for solving a satisfiable SAT problem is the stochastic local search (SLS). However, in this method, the initialization is…

人工智能 · 计算机科学 2020-12-10 Wenjie Zhang , Zeyu Sun , Qihao Zhu , Ge Li , Shaowei Cai , Yingfei Xiong , Lu Zhang

The Exact Satisfiability problem, XSAT, is defined as the problem of finding a satisfying assignment to a formula $\varphi$ in CNF such that exactly one literal in each clause is assigned to be "1" and the other literals in the same clause…

数据结构与算法 · 计算机科学 2020-12-15 Gordon Hoi

Finding good branching orders is key to solving SAT problems efficiently, but finding such branching orders is a difficult problem. Using a learning based approach to predict a good branching order before solving, therefore, has potential.…

人工智能 · 计算机科学 2026-03-10 Arvid Eriksson , Gabriel Poesia , Roman Bresson , Karl Henrik Johansson , David Broman

Propositional satisfiability (SAT) is an NP-complete problem that impacts many research fields, such as planning, verification, and security. Mainstream modern SAT solvers are based on the Conflict-Driven Clause Learning (CDCL) algorithm.…

人工智能 · 计算机科学 2024-05-10 Wenxi Wang , Yang Hu , Mohit Tiwari , Sarfraz Khurshid , Kenneth McMillan , Risto Miikkulainen

We propose Differentiable Satisfiability and Differentiable Answer Set Programming (Differentiable SAT/ASP) for multi-model optimization. Models (answer sets or satisfying truth assignments) are sampled using a novel SAT/ASP solving…

人工智能 · 计算机科学 2019-01-01 Matthias Nickles

The Boolean SATisfiability problem (SAT) is of central importance in computer science. Although SAT is known to be NP-complete, progress on the engineering side, especially that of Conflict-Driven Clause Learning (CDCL) and Local Search SAT…

计算机科学中的逻辑 · 计算机科学 2020-02-25 Anastasios Kyrillidis , Anshumali Shrivastava , Moshe Y. Vardi , Zhiwei Zhang

While accelerated computing has transformed many domains of computing, its impact on logical reasoning, specifically Boolean satisfiability (SAT), remains limited. State-of-the-art SAT solvers rely heavily on inherently sequential…

计算机科学中的逻辑 · 计算机科学 2025-11-12 Steve Dai , Cunxi Yu , Kalyan Krishnamani , Brucek Khailany

In general, a SAT Solver based on conflict-driven DPLL consists of variable selection, phase selection, Boolean Constraint Propagation, conflict analysis, clause learning and its database maintenance. Optimizing any part of these components…

计算机科学中的逻辑 · 计算机科学 2011-06-08 Jingchao Chen

State-of-the-art SAT solvers are nowadays able to handle huge real-world instances. The key to this success is the so-called Conflict-Driven Clause-Learning (CDCL) scheme, which encompasses a number of techniques that exploit the conflicts…

人工智能 · 计算机科学 2024-02-27 Robert Nieuwenhuis , Albert Oliveras , Enric Rodriguez-Carbonell

Due to the increasing challenges posed by the relentless rise in the design complexity of integrated circuits, Boolean Satisfiability (SAT) has emerged as a robust alternative to structural APTG techniques. However, the high cost of…

人工智能 · 计算机科学 2023-03-07 Hui-Ling Zhen , Naixing Wang , Junhua Huang , Xinyue Huang , Mingxuan Yuan , Yu Huang

This paper introduces SATFuL, a SAT solver for fuzzy logics. In contrast to the Boolean case, for which numerous SAT solvers exist, the SAT problem for fuzzy logics has attracted less attention, even though these tools have interesting…

计算机科学中的逻辑 · 计算机科学 2026-04-20 Pablo F. Castro

Boolean satisfiability (SAT) problems are routinely solved by SAT solvers in real-life applications, yet solving time can vary drastically between solvers for the same instance. This has motivated research into machine learning models that…

We build a SAT solver implementing the DPLL algorithm in the verification-enabled programming language Dafny. The resulting solver is fully verified (soundness, completeness and termination are computer checked). We benchmark our Dafny…

计算机科学中的逻辑 · 计算机科学 2020-07-22 Cezar-Constantin Andrici , Ştefan Ciobâcă