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We propose an algorithm to explore the global optimization method, using SAT solvers, for training a neural net. Deep Neural Networks have achieved great feats in tasks like-image recognition, speech recognition, etc. Much of their success…

Machine Learning · Computer Science 2022-06-13 Subham S. Sahoo

The appearance of strong CDCL-based propositional (SAT) solvers has greatly advanced several areas of automated reasoning (AR). One of the directions in AR is thus to apply SAT solvers to expressive formalisms such as first-order logic, for…

Machine Learning · Computer Science 2022-10-10 Jelle Piepenbrock , Josef Urban , Konstantin Korovin , Miroslav Olšák , Tom Heskes , Mikolaš Janota

Many natural optimization problems are NP-hard, which implies that they are probably hard to solve exactly in the worst-case. However, it suffices to get reasonably good solutions for all (or even most) instances in practice. This paper…

Artificial Intelligence · Computer Science 2022-09-13 Raffaele Marino

Existing methods provide varying algorithms for different types of Boolean satisfiability problems (SAT), lacking a general solution framework. Accordingly, this study proposes a unified framework DCSAT based on integer programming and…

Artificial Intelligence · Computer Science 2023-12-29 Anqi Li , Congying Han , Tiande Guo , Haoran Li , Bonan Li

The constraint satisfaction problems k-SAT and Quantum k-SAT (k-QSAT) are canonical NP-complete and QMA_1-complete problems (for k>=3), respectively, where QMA_1 is a quantum generalization of NP with one-sided error. Whereas k-SAT has been…

Quantum Physics · Physics 2021-04-01 Marco Aldi , Niel de Beaudrap , Sevag Gharibian , Seyran Saeedi

Modern high-performance SAT solvers quickly solve large satisfiability instances that occur in practice. If the instance is satisfiable, then the SAT solver can provide a witness which can be checked independently in the form of a…

Logic in Computer Science · Computer Science 2019-09-05 Cezar-Constantin Andrici , Ştefan Ciobâcă

Learning-augmented algorithms are a prominent recent development in beyond worst-case analysis. In this framework, a problem instance is provided with a prediction (``advice'') from a machine-learning oracle, which provides partial…

Data Structures and Algorithms · Computer Science 2025-06-03 Idan Attias , Xing Gao , Lev Reyzin

Ensuring that the outputs of neural networks satisfy specific constraints is crucial for applying neural networks to real-life decision-making problems. In this paper, we consider making a batch of neural network outputs satisfy bounded and…

Artificial Intelligence · Computer Science 2024-11-12 Hongtai Zeng , Chao Yang , Yanzhen Zhou , Cheng Yang , Qinglai Guo

The Pseudo-Boolean Optimization (PBO) and Maximum Satisfiability (MaxSAT) problems are natural optimization extensions of Boolean Satisfiability (SAT). In the recent past, different algorithms have been proposed for PBO and for MaxSAT,…

Artificial Intelligence · Computer Science 2009-03-06 Vasco Manquinho , Joao Marques-Silva , Jordi Planes

Most recent MaxSAT algorithms rely on a succession of calls to a SAT solver in order to find an optimal solution. In particular, several algorithms take advantage of the ability of SAT solvers to identify unsatisfiable subformulas. Usually,…

Artificial Intelligence · Computer Science 2015-05-12 Miguel Neves , Ruben Martins , Mikoláš Janota , Inês Lynce , Vasco Manquinho

Recently there has been increasing interest in developing and deploying deep graph learning algorithms for many tasks, such as fraud detection and recommender systems. Albeit, there is a limited number of publicly available graph-structured…

Machine Learning · Computer Science 2023-10-06 Sajad Darabi , Piotr Bigaj , Dawid Majchrowski , Artur Kasymov , Pawel Morkisz , Alex Fit-Florea

The basic random $k$-SAT problem is: Given a set of $n$ Boolean variables, and $m$ clauses of size $k$ picked uniformly at random from the set of all such clauses on our variables, is the conjunction of these clauses satisfiable? Here we…

Combinatorics · Mathematics 2019-06-13 Joel Larsson , Klas Markström

Generating data from discrete distributions is important for a number of application domains including text, tabular data, and genomic data. Several groups have recently used random $k$-satisfiability ($k$-SAT) as a synthetic benchmark for…

Machine Learning · Computer Science 2026-03-24 Alankrita Bhatt , Mukur Gupta , Germain Kolossov , Andrea Montanari

In this paper we detail a classical algorithmic approach to the k-satisfiability (k-SAT) problem that is inspired by the quantum amplitude amplification algorithm. This work falls under the emerging field of quantum-inspired classical…

Quantum Physics · Physics 2021-09-22 S. Andrew Lanham , Brian R. La Cour

Synthetic tabular data generation has emerged as a promising method to address limited data availability and privacy concerns. With the sharp increase in the performance of large language models in recent years, researchers have been…

Machine Learning · Computer Science 2025-03-28 Reilly Cannon , Nicolette M. Laird , Caesar Vazquez , Andy Lin , Amy Wagler , Tony Chiang

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

The past three decades have witnessed notable success in designing efficient SAT solvers, with modern solvers capable of solving industrial benchmarks containing millions of variables in just a few seconds. The success of modern SAT solvers…

Artificial Intelligence · Computer Science 2023-06-13 Jiong Yang , Arijit Shaw , Teodora Baluta , Mate Soos , Kuldeep S. Meel

Generating proofs of unsatisfiability is a valuable capability of most SAT solvers, and is an active area of research for SMT solvers. This paper introduces the first method to efficiently generate proofs of unsatisfiability specifically…

Logic in Computer Science · Computer Science 2024-04-19 Nick Feng , Alan J. Hu , Sam Bayless , Syed M. Iqbal , Patrick Trentin , Mike Whalen , Lee Pike , John Backes

Modern semantic parsers suffer from two principal limitations. First, training requires expensive collection of utterance-program pairs. Second, semantic parsers fail to generalize at test time to new compositions/structures that have not…

Computation and Language · Computer Science 2021-09-07 Inbar Oren , Jonathan Herzig , Jonathan Berant

I describe one quantum approach to solving 3-satisfiability (3-SAT), the well known problem in computer science. The approach is based on repeatedly measuring the truth value of the clauses forming the 3-SAT proposition using a…

Quantum Physics · Physics 2015-09-03 Simon Benjamin