Machine learning methods in solving the boolean satisfiability problem

W Guo, HL Zhen, X Li, W Luo, M Yuan, Y **… - Machine Intelligence …, 2023 - Springer
This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT),
an archetypal NP-complete problem, with the aid of machine learning (ML) techniques. Over …

NLocalSAT: Boosting local search with solution prediction

W Zhang, Z Sun, Q Zhu, G Li, S Cai, Y **ong… - arxiv preprint arxiv …, 2020 - arxiv.org
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 …

Deep cooperation of CDCL and local search for SAT

S Cai, X Zhang - Theory and Applications of Satisfiability Testing–SAT …, 2021 - Springer
Modern SAT solvers are based on a paradigm named conflict driven clause learning
(CDCL), while local search is an important alternative. Although there have been attempts …

[PDF][PDF] Designing samplers is easy: The boon of testers

P Golia, M Soos, S Chakraborty… - 2021 Formal Methods in …, 2021 - library.oapen.org
Given a formula ϕ, the problem of uniform sampling seeks to sample solutions of ϕ uniformly
at random. Uniform sampling is a fundamental problem with a wide variety of applications …

Local search for SMT on linear integer arithmetic

S Cai, B Li, X Zhang - International Conference on Computer Aided …, 2022 - Springer
Abstract Satisfiability Modulo Linear Integer Arithmetic, SMT (LIA) for short, has significant
applications in many domains. In this paper, we develop the first local search algorithm for …

Optimizing local search-based partial MaxSAT solving via initial assignment prediction

C Liu, G Liu, C Luo, S Cai, Z Lei, W Zhang… - Science China …, 2025 - Springer
Partial maximum satisfiability (PMS) is a significant generalization of Boolean satisfiability
(SAT) and maximum satisfiability (MaxSAT), by introducing hard clauses and soft clauses …

Local search for satisfiability modulo integer arithmetic theories

S Cai, B Li, X Zhang - ACM Transactions on Computational Logic, 2023 - dl.acm.org
Satisfiability Modulo Theories (SMT) refers to the problem of deciding the satisfiability of a
formula with respect to certain background first-order theories. In this article, we focus on …

[HTML][HTML] New local search methods for partial MaxSAT

S Cai, C Luo, J Lin, K Su - Artificial Intelligence, 2016 - Elsevier
Abstract Maximum Satisfiability (MaxSAT) is the optimization version of the Satisfiability
(SAT) problem. Partial Maximum Satisfiability (PMS) is a generalization of MaxSAT which …

[PDF][PDF] Local search for SMT on linear and multilinear real arithmetic

B Li, S Cai - # PLACEHOLDER_PARENT_METADATA_VALUE#, 2023 - library.oapen.org
Satisfiability Modulo Theories (SMT) has significant application in various domains. In this
paper, we focus on quantifier-free Satisfiablity Modulo Real Arithmetic, referred to as SMT …

[PDF][PDF] From Decimation to Local Search and Back: A New Approach to MaxSAT.

S Cai, C Luo, H Zhang - IJCAI, 2017 - ijcai.org
Abstract Maximum Satisfiability (MaxSAT) is an important NP-hard combinatorial
optimization problem with many applications and MaxSAT solving has attracted much …