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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

An inconsistent database is a database that violates one or more integrity constraints, such as functional dependencies. Consistent Query Answering is a rigorous and principled approach to the semantics of queries posed against inconsistent…

Databases · Computer Science 2019-05-09 Akhil A. Dixit , Phokion G. Kolaitis

In this paper, we present a new, graph-based modeling approach and a polynomial-sized linear programming (LP) formulation of the Boolean satisfiability problem (SAT). The approach is illustrated with a numerical example.

Discrete Mathematics · Computer Science 2016-10-21 Moustapha Diaby

This paper describes diff-SAT, an Answer Set and SAT solver which combines regular solving with the capability to use probabilistic clauses, facts and rules, and to sample an optimal world-view (multiset of satisfying Boolean variable…

Artificial Intelligence · Computer Science 2021-01-05 Matthias Nickles

Search Based Software Testing (SBST) is a popular automated testing technique which uses a feedback mechanism to search for faults in software. Despite its popularity, it has fundamental challenges related to the design, construction and…

Software Engineering · Computer Science 2020-07-01 Leonid Joffe , David J. Clark

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

Graph neural networks (GNN) have recently emerged as a vehicle for applying deep network architectures to graph and relational data. However, given the increasing size of industrial datasets, in many practical situations the message passing…

Machine Learning · Computer Science 2021-11-16 Qingru Zhang , David Wipf , Quan Gan , Le Song

The Boolean satisfiability problem (SAT) is of central importance in both theory and practice. Yet, most provable guarantees for quantum algorithms rely exclusively on Grover-type methods that cap the possible advantage at only quadratic…

Quantum Physics · Physics 2025-11-14 Franz J. Schreiber , Maximilian J. Kramer , Alexander Nietner , Jens Eisert

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…

Logic in Computer Science · Computer Science 2014-02-17 Joao Marques-Silva , Mikolas Janota

The Boolean Satisfiability Problem is perhaps one of the most well-known problems in theoretical computer science. On the one hand, it is proven to be NP-complete, which means that it is generally considered hard to solve. On the other…

Logic in Computer Science · Computer Science 2026-03-03 Flora Rädiker

The Boolean satisfiability problem (SAT) can be solved efficiently with variants of the DPLL algorithm. For industrial SAT problems, DPLL with conflict analysis dependent dynamic decision heuristics has proved to be particularly efficient,…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Raihan H. Kibria

Propositional satisfiability (SAT) is one of the most fundamental problems in computer science. Its worst-case hardness lies at the core of computational complexity theory, for example in the form of NP-hardness and the (Strong) Exponential…

Discrete Mathematics · Computer Science 2022-09-02 Tobias Friedrich , Ralf Rothenberger

Modern SAT solvers routinely operate at scales that make it impractical to query a neural network for every branching decision. NeuroCore, proposed by Selsam and Bjorner, offered a proof-of-concept that neural networks can still accelerate…

Logic in Computer Science · Computer Science 2020-07-07 Jesse Michael Han

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

Graphs with complete node attributes have been widely explored recently. While in practice, there is a graph where attributes of only partial nodes could be available and those of the others might be entirely missing. This attribute-missing…

Machine Learning · Computer Science 2020-11-04 Xu Chen , Siheng Chen , Jiangchao Yao , Huangjie Zheng , Ya Zhang , Ivor W Tsang

We present a novel application of the Kramers-Wannier duality on one of the most important problems of computer science, the Boolean satisfiability problem (SAT). More specifically, we focus on sharp-SAT or equivalently #SAT - the problem…

Statistical Mechanics · Physics 2013-10-10 Joe Mitchell , Benjamin Hsu , Victor Galitski

The ability to compute similarity scores between graphs based on metrics such as Graph Edit Distance (GED) is important in many real-world applications. Computing exact GED values is typically an NP-hard problem and traditional algorithms…

Machine Learning · Computer Science 2022-08-18 Haoyan Xu , Runjian Chen , Yueyang Wang , Ziheng Duan , Jie Feng

Efficient solutions to NP-complete problems would significantly benefit both science and industry. However, such problems are intractable on digital computers based on the von Neumann architecture, thus creating the need for alternative…

Emerging Technologies · Computer Science 2018-02-13 Xunzhao Yin , Behnam Sedighi , Melinda Varga , Maria Ercsey-Ravasz , Zoltan Toroczkai , Xiaobo Sharon Hu

Session-based recommendations (SBRs) capture items' dependencies from the sessions to recommend the next item. In recent years, Graph neural networks (GNN) based SBRs have become the mainstream of SBRs benefited from the superiority of GNN…

Information Retrieval · Computer Science 2022-07-25 Qian Zhang , Wenpeng Lu

Graph representation learning methods have mostly been limited to the modelling of node-wise interactions. Recently, there has been an increased interest in understanding how higher-order structures can be utilised to further enhance the…

Machine Learning · Computer Science 2022-04-21 Christopher Wei Jin Goh , Cristian Bodnar , Pietro Liò