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The CDCL algorithm is the leading solution adopted by state-of-the-art solvers for SAT, SMT, ASP, and others. Experiments show that the performance of CDCL solvers can be significantly boosted by embedding domain-specific heuristics,…

Artificial Intelligence · Computer Science 2016-11-17 Carmine Dodaro , Philip Gasteiger , Nicola Leone , Benjamin Musitsch , Francesco Ricca , Konstantin Schekotihin

Conflict-Driven Clause-Learning SAT solvers crucially depend on the Variable State Independent Decaying Sum (VSIDS) branching heuristic for their performance. Although VSIDS was proposed nearly fifteen years ago, and many other branching…

Logic in Computer Science · Computer Science 2015-09-16 Jia Hui Liang , Vijay Ganesh , Ed Zulkoski , Atulan Zaman , Krzysztof Czarnecki

The theory of quantifier-free bit-vectors (QF_BV) is of paramount importance in software verification. The standard approach for satisfiability checking reduces the bit-vector problem to a Boolean problem, leveraging the powerful SAT…

Logic in Computer Science · Computer Science 2017-06-29 Zakaria Chihani , François Bobot , Sébastien Bardin

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…

Artificial Intelligence · Computer Science 2021-06-15 Anastasios Kyrillidis , Moshe Y. Vardi , Zhiwei Zhang

Existed pre-trained models have achieved state-of-the-art performance on various text classification tasks. These models have proven to be useful in learning universal language representations. However, the semantic discrepancy between…

Machine Learning · Computer Science 2022-01-07 Jinhe Lan , Qingyuan Zhan , Chenhao Jiang , Kunping Yuan , Desheng Wang

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

Restarts are a widely-used class of techniques integral to the efficiency of Conflict-Driven Clause Learning (CDCL) Boolean SAT solvers. While the utility of such policies has been well-established empirically, a theoretical explanation of…

Computational Complexity · Computer Science 2020-05-12 Chunxiao Li , Noah Fleming , Marc Vinyals , Toniann Pitassi , Vijay Ganesh

Multi-instance partial-label learning (MIPL) is a weakly supervised framework that extends the principles of multi-instance learning (MIL) and partial-label learning (PLL) to address the challenges of inexact supervision in both instance…

Machine Learning · Computer Science 2025-12-22 Wei Tang , Yin-Fang Yang , Weijia Zhang , Min-Ling Zhang

In this paper we take 4 different features of the SAT solver CaDiCaL, blocked clause elimination, vivification, on-the-fly self subsumption, and increasing the bound of variable elimination over the SAT Competitions benchmarks between 2009…

Logic in Computer Science · Computer Science 2024-02-05 Mathias Fleury , Daniela Kaufmann

Whilst contrastive learning has recently brought notable benefits to deep clustering of unlabelled images by learning sample-specific discriminative visual features, its potential for explicitly inferring class decision boundaries is less…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Jiabo Huang , Shaogang Gong

Applying pre- and inprocessing techniques to simplify CNF formulas both before and during search can considerably improve the performance of modern SAT solvers. These algorithms mostly aim at reducing the number of clauses, literals, and…

Logic in Computer Science · Computer Science 2013-10-18 Andreas Wotzlaw , Alexander van der Grinten , Ewald Speckenmeyer

Finding good branching orders is key to solving SAT problems efficiently, but finding such branching orders is a difficult problem. Using a learning based approach to predict a good branching order before solving, therefore, has potential.…

Artificial Intelligence · Computer Science 2026-03-10 Arvid Eriksson , Gabriel Poesia , Roman Bresson , Karl Henrik Johansson , David Broman

Multi-label image recognition with partial labels (MLR-PL) is designed to train models using a mix of known and unknown labels. Traditional methods rely on semantic or feature correlations to create pseudo-labels for unidentified labels…

Computer Vision and Pattern Recognition · Computer Science 2025-08-01 Haoxian Ruan , Zhihua Xu , Zhijing Yang , Guang Ma , Jieming Xie , Changxiang Fan , Tianshui Chen

Dynamic data pruning accelerates deep learning by selectively omitting less informative samples during training. While per-sample loss is a common importance metric, obtaining it can be challenging or infeasible for complex models or loss…

Machine Learning · Computer Science 2026-04-07 Qing Zhou , Bingxuan Zhao , Tao Yang , Hongyuan Zhang , Junyu Gao , Qi Wang

This article introduces SatHyS (SAT HYbrid Solver), a novel hybrid approach for propositional satisfiability. It combines local search and conflict driven clause learning (CDCL) scheme. Each time the local search part reaches a local…

Artificial Intelligence · Computer Science 2009-10-08 Gilles Audenard , Jean-Marie Lagniez , Bertrand Mazure , Lakhdar Saïs

Logic provides a controlled testbed for evaluating LLM-based reasoners, yet standard SAT-style benchmarks often conflate surface difficulty (length, wording, clause order) with the structural phenomena that actually determine…

Artificial Intelligence · Computer Science 2026-02-16 Naïm Es-sebbani , Esteban Marquer , Yakoub Salhi , Zied Bouraoui

We recently proposed Acceleration Driven Clause Learning (ADCL), a novel calculus to analyze satisfiability of Constrained Horn Clauses (CHCs). Here, we adapt ADCL to transition systems and introduce ADCL-NT, a variant for disproving…

Logic in Computer Science · Computer Science 2023-07-10 Florian Frohn , Jürgen Giesl

We describe a SAT solver using both the GPU (CUDA) and the CPU with a new clause exchange strategy. The CPU runs a classic multithreaded CDCL SAT solver. EachCPU thread exports all the clauses it learns to the GPU. The GPU makes a heavy…

Artificial Intelligence · Computer Science 2020-12-08 Nicolas Prevot

Bounded fitting is an attractive paradigm for learning logical formulas from labeled data examples that offers PAC-style generalization guarantees and can often be implemented leveraging SAT solvers. It has been successfully applied to…

Artificial Intelligence · Computer Science 2026-05-11 Maurice Funk , Jean Christoph Jung , Tom Voellmer

Latent class analysis is used to perform model based clustering for multivariate categorical responses. Selection of the variables most relevant for clustering is an important task which can affect the quality of clustering considerably.…

Computation · Statistics 2016-06-17 Arthur White , Jason Wyse , Thomas Brendan Murphy