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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

Mutation testing is a powerful technique for assessing and improving test suite quality that artificially introduces bugs and checks whether the test suites catch them. However, it is also computationally expensive and thus does not scale…

Software Engineering · Computer Science 2023-09-06 Kush Jain , Uri Alon , Alex Groce , Claire Le Goues

Traditional pattern mining algorithms generally suffer from a lack of flexibility. In this paper, we propose a SAT formulation of the problem to successfully mine frequent flexible sequences occurring in transactional datasets. Our…

Artificial Intelligence · Computer Science 2016-04-04 Rémi Coletta , Benjamin Negrevergne

As large language models become increasingly capable, it is critical that their outputs can be easily checked by less capable systems. Prover-verifier games can be used to improve checkability of model outputs, but display a degradation in…

Artificial Intelligence · Computer Science 2026-02-27 Yegon Kim , Juho Lee

We propose to use local search algorithms to produce SAT instances which are harder to solve than randomly generated k-CNF formulae. The first results, obtained with rudimentary search algorithms, show that the approach deserves further…

Neural and Evolutionary Computing · Computer Science 2010-11-29 Olivier Bailleux

Many state-of-the-art Satisfiability Modulo Theories (SMT) solvers for the theory of fixed-size bit-vectors employ an approach called bit-blasting, where a given formula is translated into a Boolean satisfiability (SAT) problem and…

Logic in Computer Science · Computer Science 2019-07-04 Alex Ozdemir , Aina Niemetz , Mathias Preiner , Yoni Zohar , Clark Barrett

Satisfiability filters, introduced by S. A. Weaver et al. in 2014, are a new and promising type of filters to address set membership testing. In order to construct satisfiability filters, it is necessary to find disparate solutions to hard…

Quantum Physics · Physics 2017-04-10 Marlon Azinović , Daniel Herr , Bettina Heim , Ethan Brown , Matthias Troyer

Over the last two decades, propositional satisfiability (SAT) has become one of the most successful and widely applied techniques for the solution of NP-complete problems. The aim of this paper is to investigate theoretically how Sat can be…

Logic in Computer Science · Computer Science 2013-05-06 Johannes Klaus Fichte , Stefan Szeider

Modern scientific software stacks have become extremely complex, using many programming models and libraries to exploit a growing variety of GPUs and accelerators. Package managers can mitigate this complexity using dependency solvers, but…

Software Engineering · Computer Science 2022-10-18 Todd Gamblin , Massimiliano Culpo , Gregory Becker , Sergei Shudler

With the increasing availability of parallel computing power, there is a growing focus on parallelizing algorithms for important automated reasoning problems such as Boolean satisfiability (SAT). Divide-and-Conquer (D&C) is a popular…

Logic in Computer Science · Computer Science 2022-09-13 Abhishek Nair , Saranyu Chattopadhyay , Haoze Wu , Alex Ozdemir , Clark Barrett

Although Boolean Constraint Technology has made tremendous progress over the last decade, the efficacy of state-of-the-art solvers is known to vary considerably across different types of problem instances and is known to depend strongly on…

Artificial Intelligence · Computer Science 2014-01-07 Holger Hoos , Roland Kaminski , Marius Lindauer , Torsten Schaub

Optimal Transport (OT) naturally arises in many machine learning applications, yet the heavy computational burden limits its wide-spread uses. To address the scalability issue, we propose an implicit generative learning-based framework…

Machine Learning · Computer Science 2019-06-26 Yujia Xie , Minshuo Chen , Haoming Jiang , Tuo Zhao , Hongyuan Zha

Bit-vector formulas arising from hardware verification problems often contain word-level arithmetic operations. Empirical evidence shows that state-of-the-art SMT solvers are not very efficient at reasoning about bit-vector formulas with…

Logic in Computer Science · Computer Science 2016-12-13 Supratik Chakraborty , Ashutosh Gupta , Rahul Jain

Unittest and pytest are the most popular testing frameworks in Python. Overall, pytest provides some advantages, including simpler assertion, reuse of fixtures, and interoperability. Due to such benefits, multiple projects in the Python…

Software Engineering · Computer Science 2026-02-06 Altino Alves , Andre Hora

We study the projection onto the set of feasible inputs and the set of feasible solutions of a polynomial optimisation problem (POP). Our motivation is increasing the robustness of solvers for POP: Without a priori guarantees of feasibility…

Optimization and Control · Mathematics 2019-09-18 Claudio Gambella , Jakub Marecek , Martin Mevissen

Given a boolean formula $\Phi$(X, Y, Z), the Max\#SAT problem asks for finding a partial model on the set of variables X, maximizing its number of projected models over the set of variables Y. We investigate a strict generalization of…

Cryptography and Security · Computer Science 2023-09-13 Thomas Vigouroux , Marius Bozga , Cristian Ene , Laurent Mounier

Determining whether two STRIPS planning instances are isomorphic is the simplest form of comparison between planning instances. It is also a particular case of the problem concerned with finding an isomorphism between a planning instance…

Artificial Intelligence · Computer Science 2024-06-25 Arnaud Lequen , Martin C. Cooper , Frédéric Maris

The Circuit Satisfiability (CSAT) problem, a variant of the Boolean Satisfiability (SAT) problem, plays a critical role in integrated circuit design and verification. However, existing SAT solvers, optimized for Conjunctive Normal Form…

Logic in Computer Science · Computer Science 2025-07-03 Zhengyuan Shi , Tiebing Tang , Jiaying Zhu , Sadaf Khan , Hui-Ling Zhen , Mingxuan Yuan , Zhufei Chu , Qiang Xu

We report an analytic and numerical study of a phase transition in a P problem (the assignment problem) that separates two phases whose representatives are the simple matching problem (an easy P problem) and the traveling salesman problem…

Computational Complexity · Computer Science 2007-05-23 J. G. Esteve , F. Falceto

In this short paper we present a survey of some results concerning the random SAT problems. To elaborate, the Boolean Satisfiability (SAT) Problem refers to the problem of determining whether a given set of $m$ Boolean constraints over $n$…

Probability · Mathematics 2023-11-07 Andreas Basse-O'Connor , Tobias Lindhardt Overgaard , Mette Skjøtt
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