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A novel parallel algorithm for solving the classical Decision Boolean Satisfiability problem with clauses in conjunctive normal form is depicted. My approach for solving SAT is without using algebra or other computational search strategies…

数据结构与算法 · 计算机科学 2018-04-17 Carlos Barrón-Romero

We explore the potential of continuous local search (CLS) in SAT solving by proposing a novel approach for finding a solution of a hybrid system of Boolean constraints. The algorithm is based on CLS combined with belief propagation on…

人工智能 · 计算机科学 2021-06-15 Anastasios Kyrillidis , Moshe Y. Vardi , Zhiwei Zhang

The Boolean satisfiability (SAT) problem lies at the core of many applications in combinatorial optimization, software verification, cryptography, and machine learning. While state-of-the-art solvers have demonstrated high efficiency in…

计算机科学中的逻辑 · 计算机科学 2025-06-03 Zhiwei Zhang , Samy Wu Fung , Anastasios Kyrillidis , Stanley Osher , Moshe Y. Vardi

In this paper, we address the problem of enumerating all models of a Boolean formula in conjunctive normal form (CNF). We propose an extension of CDCL-based SAT solvers to deal with this fundamental problem. Then, we provide an experimental…

人工智能 · 计算机科学 2013-05-08 Said Jabbour , Lakhdar Sais , Yakoub Salhi

This work is a further study on the Generalized Constraint Neural Network (GCNN) model [1], [2]. Two challenges are encountered in the study, that is, to embed any type of prior information and to select its imposing schemes. The work…

神经与进化计算 · 计算机科学 2016-04-19 Linlin Cao , Ran He , Bao-Gang Hu

Constrained sampling and counting are two fundamental problems in artificial intelligence with a diverse range of applications, spanning probabilistic reasoning and planning to constrained-random verification. While the theory of these…

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

Many procedures for SAT and SAT-related problems -- in particular for those requiring the complete enumeration of satisfying truth assignments -- rely their efficiency on the detection of partial assignments satisfying an input formula. In…

计算机科学中的逻辑 · 计算机科学 2020-03-10 Roberto Sebastiani

Local search has recently been applied to SMT problems over various arithmetic theories. Among these, nonlinear real arithmetic poses special challenges due to its uncountable solution space and potential need to solve higher-degree…

符号计算 · 计算机科学 2023-11-27 Zhonghan Wang , Bohua Zhan , Bohan Li , Shaowei Cai

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

We consider the problem of finding and enumerating polyominos that can be folded into multiple non-isomorphic boxes. While several computational approaches have been proposed, including SAT, randomized algorithms, and decision diagrams,…

计算几何 · 计算机科学 2025-06-03 Long Qian , Eric Wang , Bernardo Subercaseaux , Marijn J. H. Heule

Given a CNF formula F on n variables, the problem of model counting or #SAT is to compute the number of satisfying assignments of F . Model counting is a fundamental but hard problem in computer science with varied applications. Recent…

数据结构与算法 · 计算机科学 2020-05-01 Kuldeep S. Meel , S. Akshay

In this work we investigate the effectiveness of the application of niching able swarm metaheuristic approaches in order to solve constrained optimization problems. Sub-swarms are used in order to allow the achievement of many feasible…

In this paper, we propose a constraint-based modeling approach for the problem of discovering frequent gradual patterns in a numerical dataset. This SAT-based declarative approach offers an additional possibility to benefit from the recent…

人工智能 · 计算机科学 2019-03-21 Jerry Lonlac , Saïdd Jabbour , Engelbert Mephu Nguifo , Lakhdar Saïs , Badran Raddaoui

The CNF formula satisfiability problem (CNF-SAT) has been reduced to many fundamental problems in P to prove tight lower bounds under the Strong Exponential Time Hypothesis (SETH). Recently, the works of Abboud, Hansen, Vassilevska W. and…

计算复杂性 · 计算机科学 2020-08-31 Daniel Gibney , Gary Hoppenworth , Sharma V. Thankachan

This work focuses on improving state-of-the-art in stochastic local search (SLS) for solving Boolean satisfiability (SAT) instances arising from real-world industrial SAT application domains. The recently introduced SLS method CRSat has…

人工智能 · 计算机科学 2011-09-12 Anton Belov , Matti Järvisalo

A well-known approach to treating syntactic island constraints in the setting of Lambek grammars consists in adding specific bracket modalities to the logic. We adapt this approach to abstract categorial grammars (ACG). Thus we define…

逻辑 · 数学 2020-05-21 Sergey Slavnov

This paper presents a deterministic algorithmic approach of exploring the solution space of the Subset Sum Problem. The algorithm presented is input-robust and structurally adaptive. Exploration is guided and narrows into areas in the…

计算复杂性 · 计算机科学 2025-06-19 Thami Nkosi

We present a new approach to enhancing Answer Set Programming (ASP) with Constraint Processing techniques which allows for solving interesting Constraint Satisfaction Problems in ASP. We show how constraints on finite domains can be…

计算机科学中的逻辑 · 计算机科学 2010-07-26 Christian Drescher , Toby Walsh

A previously developed quantum search algorithm for solving 1-SAT problems in a single step is generalized to apply to a range of highly constrained k-SAT problems. We identify a bound on the number of clauses in satisfiability problems for…

人工智能 · 计算机科学 2011-05-30 T. Hogg