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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…

Logic in Computer Science · Computer Science 2026-04-20 Pablo F. Castro

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

Boolean Satisfiability (SAT) problems are expressed as mathematical formulas. This paper presents a matrix representation for these SAT problems. It shows how to use this matrix representation to get the full set of valid satisfying…

Computational Complexity · Computer Science 2025-05-20 Paul W. Homer

We present NeuroSAT, a message passing neural network that learns to solve SAT problems after only being trained as a classifier to predict satisfiability. Although it is not competitive with state-of-the-art SAT solvers, NeuroSAT can solve…

Artificial Intelligence · Computer Science 2019-03-13 Daniel Selsam , Matthew Lamm , Benedikt Bünz , Percy Liang , Leonardo de Moura , David L. Dill

In this project, we aimed to improve the runtime of Minisat, a Conflict-Driven Clause Learning (CDCL) solver that solves the Propositional Boolean Satisfiability (SAT) problem. We first used a logistic regression model to predict the…

Artificial Intelligence · Computer Science 2017-11-01 Haoze Wu

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

Artificial Intelligence · Computer Science 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin

The practical success of Boolean Satisfiability (SAT) solvers stems from the CDCL (Conflict-Driven Clause Learning) approach to SAT solving. However, from a propositional proof complexity perspective, CDCL is no more powerful than the…

Logic in Computer Science · Computer Science 2017-07-06 Alexey Ignatiev , Antonio Morgado , Joao Marques-Silva

Learned clauses minimization (LCM) let to performance improvements of modern SAT solvers especially in solving hard SAT instances. Despite the success of LCM approaches in sequential solvers, they are not widely incorporated in parallel SAT…

Data Structures and Algorithms · Computer Science 2019-08-06 Marc Hartung , Florian Schintke

Local consistency techniques such as k-consistency are a key component of specialised solvers for constraint satisfaction problems. In this paper we show that the power of using k-consistency techniques on a constraint satisfaction problem…

Artificial Intelligence · Computer Science 2014-01-21 Peter Jeavons , Justyna Petke

The problem of finding small unsatisfiable cores for SAT formulas has recently received a lot of interest, mostly for its applications in formal verification. However, propositional logic is often not expressive enough for representing many…

Logic in Computer Science · Computer Science 2014-01-17 Alessandro Cimatti , Alberto Griggio , Roberto Sebastiani

The poset cover problem seeks a minimum set of partial orders whose linear extensions cover a given set of linear orders. Recognizing its NP-completeness, we devised a non-trivial reduction to the Boolean satisfiability problem using a…

Logic in Computer Science · Computer Science 2025-05-08 Chih-Cheng Rex Yuan , Bow-Yaw Wang

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…

Hardware Architecture · Computer Science 2023-03-07 Chenzhuo Zhu , Alexander C. Rucker , Yawen Wang , William J. Dally

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

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…

Logic in Computer Science · Computer Science 2025-11-12 Steve Dai , Cunxi Yu , Kalyan Krishnamani , Brucek Khailany

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) solving underpins a wide range of applications in Electronic Design Automation (EDA), particularly formal verification. However, this paper observes that the mainstream clause reduction heuristic in modern SAT…

Logic in Computer Science · Computer Science 2026-02-26 Yalun Cai , Xindi Zhang , Zhengyuan Shi , Mengxia Tao , Qiang Xu

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

Satisfiability checking for Linear Temporal Logic (LTL) is a fundamental step in checking for possible errors in LTL assertions. Extant LTL satisfiability checkers use a variety of different search procedures. With the sole exception of LTL…

Logic in Computer Science · Computer Science 2014-04-30 Jianwen Li , Geguang Pu , Lijun Zhang , Moshe Y. Vardi , Jifeng He

More and more languages have a need for constraint solving capabilities for features like error detection or automatic code generation. Imagine a dependently typed language that can immediately implement a program as soon as its type is…

Programming Languages · Computer Science 2022-08-23 Arved Friedemann , Oliver Keszocze

The Satisfiability (SAT) problem is a core challenge with significant applications in software engineering, including automated testing, configuration management, and program verification. This paper presents SolSearch, a novel framework…

Software Engineering · Computer Science 2025-02-21 Junjie Sheng , Yanqiu Lin , Jiehao Wu , Yanhong Huang , Jianqi Shi , Min Zhang , Xiangfeng Wang