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Dynamical systems can offer a novel non-Boolean approach to computing. Specifically, the natural minimization of energy in the system is a valuable property for minimizing the objective functions of combinatorial optimization problems, many…

动力系统 · 数学 2022-09-19 Mohammad Khairul Bashar , Zongli Lin , Nikhil Shukla

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…

人工智能 · 计算机科学 2023-01-23 Min Li , Zhengyuan Shi , Qiuxia Lai , Sadaf Khan , Shaowei Cai , Qiang Xu

In the article \The State of SAT", the authors asked whether a procedure dramatically different from DPLL can be found for handling unsatisfiable instances. This study proposes a new linear programming approach to address this issue…

计算复杂性 · 计算机科学 2018-08-20 Chengling Fang , Jiang Liu

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.…

数据结构与算法 · 计算机科学 2019-11-05 Michał Karpiński

Discrete variables are common in many applications, such as probabilistic reasoning, planning and explainable AI. When symbolic reasoning techniques are brought in to bear on these applications, a standard technique for handling discrete…

人工智能 · 计算机科学 2026-05-12 Yaofang Zhang , Ken Zhou , Adnan Darwiche

In this paper we propose the approach for constructing partitionings of hard variants of the Boolean satisfiability problem (SAT). Such partitionings can be used for solving corresponding SAT instances in parallel. For the same SAT instance…

人工智能 · 计算机科学 2015-10-23 Alexander Semenov , Oleg Zaikin

Computing diverse solutions for a given problem, in particular evolutionary diversity optimisation (EDO), is a hot research topic in the evolutionary computation community. This paper studies the Boolean satisfiability problem (SAT) in the…

神经与进化计算 · 计算机科学 2023-05-22 Adel Nikfarjam , Ralf Rothenberger , Frank Neumann , Tobias Friedrich

In this paper, we discussed CNF-SAT problem (NP-Complete problem) and analysis two solutions that can solve the problem, the PL-Resolution algorithm and the WalkSAT algorithm. PL-Resolution is a sound and complete algorithm that can be used…

人工智能 · 计算机科学 2013-07-25 Xili Wang

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…

计算机科学中的逻辑 · 计算机科学 2025-10-21 Yumiko Nishiyama

The aim of this short note is mainly pedagogical. It summarizes some knowledge about Boolean satisfiability (SAT) and the P=NP? problem in an elementary mathematical language. A convenient scheme to visualize and manipulate CNF formulae is…

计算复杂性 · 计算机科学 2014-08-15 Bernd R. Schuh

This paper describes SatIn, a hardware accelerator for determining boolean satisfiability (SAT) -- an important problem in many domains including verification, security analysis, and planning. SatIn is based on a distributed associative…

硬件体系结构 · 计算机科学 2023-03-07 Chenzhuo Zhu , Alexander C. Rucker , Yawen Wang , William J. Dally

DPLL algorithm for solving the Boolean satisfiability problem (SAT) can be represented in the form of a procedure that, using heuristics $A$ and $B$, select the variable $x$ from the input formula $\varphi$ and the value $b$ and runs…

计算复杂性 · 计算机科学 2021-01-26 Nikita Gaevoy

Boolean Satisfiability (SAT) and Satisfiability Modulo Theories (SMT) are widely used in automated verification, but there is a lack of interactive tools designed for educational purposes in this field. To address this gap, we present…

人工智能 · 计算机科学 2023-08-16 Yiqi Zhao , Ziyan An , Meiyi Ma , Taylor Johnson

Boolean MaxSAT, as well as generalized formulations such as Min-MaxSAT and Max-hybrid-SAT, are fundamental optimization problems in Boolean reasoning. Existing methods for MaxSAT have been successful in solving benchmarks in CNF format.…

人工智能 · 计算机科学 2023-05-09 Anastasios Kyrillidis , Moshe Y. Vardi , Zhiwei Zhang

Recent research in areas such as SAT solving and Integer Linear Programming has shown that the performances of a single arbitrarily efficient solver can be significantly outperformed by a portfolio of possibly slower on-average solvers. We…

人工智能 · 计算机科学 2014-01-07 Roberto Amadini , Maurizio Gabbrielli , Jacopo Mauro

It was shown before that the NP-hard problem of deterministic finite automata (DFA) identification can be effectively translated to Boolean satisfiability (SAT). Modern SAT-solvers can tackle hard DFA identification instances efficiently.…

形式语言与自动机理论 · 计算机科学 2016-02-22 Vladimir Ulyantsev , Ilya Zakirzyanov , Anatoly Shalyto

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

Optimization problems such as the NP-complete 3-SAT provide an important benchmark for the difficult task of finding ground-states in strongly correlated many-body systems with rugged energy landscapes. The study of random 3-SAT problems as…

统计力学 · 物理学 2026-05-21 J. Schwardt , J. C. Budich

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…

人工智能 · 计算机科学 2018-06-13 Mohamed El Halaby

This paper introduces a new approach to solving a continuous-time version of the multi-agent path finding problem. The algorithm translates the problem into an extension of the classical Boolean satisfiability problem, satisfiability modulo…

多智能体系统 · 计算机科学 2023-12-18 Tomáš Kolárik , Stefan Ratschan , Pavel Surynek