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Boolean satisfiability (SAT) problem, the first problem proven to be NP-complete, has become a fundamental challenge in computational complexity, with widespread applications in optimization and verification across many domains. Despite…

Logic in Computer Science · Computer Science 2026-04-01 Curie Kim , Carsten Portner , Mingju Liu , Steve Dai , Haoxing Ren , Brucek Khailany , Alvaro Velasquez , Ismail Alkhouri , Cunxi Yu

In this paper we introduce Clause Cuts: linear inequalities obtained from clauses that are logically implied by a CNF formula, resembling strengthened no-good cuts. With these cuts, we tighten mixed-integer linear programming (MILP)…

Optimization and Control · Mathematics 2025-09-29 Max Engelhardt , Milan Adhikari , Jonasz Staszek , Alexander Martin

As contemporary quantum computers do not possess error correction, any calculation performed by these devices can be considered an involuntary approximation. To solve a problem on a quantum annealer, it has to be expressed as an instance of…

The combinatorial problem Max-Cut has become a benchmark in the evaluation of local search heuristics for both quantum and classical optimisers. In contrast to local search, which only provides average-case performance guarantees, the…

Hardware Architecture · Computer Science 2026-04-27 D. A. Herrera-Martí , E. Guthmuller , J. Fereyre

With the growing interest in quantum programs, ensuring their correctness is a fundamental challenge. Although constraint-solving techniques can overcome some limitations of traditional testing and verification, they have not yet been…

Quantum Physics · Physics 2026-02-25 Shangzhou Xia , Haitao Fu , Jianjun Zhao

Many advanced program analysis and verification methods are based on solving systems of Constrained Horn Clauses (CHC). Testing CHC solvers is very important, as correctness of their work determines whether bugs in the analyzed programs are…

Software Engineering · Computer Science 2023-06-09 Anzhela Sukhanova , Valentyn Sobol

We present a Satisfiability (SAT)-based approach for building Mixed Covering Arrays with Constraints of minimum length, referred to as the Covering Array Number problem. This problem is central in Combinatorial Testing for the detection of…

Artificial Intelligence · Computer Science 2021-05-27 Carlos Ansótegui , Felip Manyà , Jesus Ojeda , Josep M. Salvia , Eduard Torres

The XOR-satisfiability (XORSAT) problem requires finding an assignment of $n$ Boolean variables that satisfy $m$ exclusive OR (XOR) clauses, whereby each clause constrains a subset of the variables. We consider random XORSAT instances,…

Discrete Mathematics · Computer Science 2015-09-10 Morteza Ibrahimi , Yash Kanoria , Matt Kraning , Andrea Montanari

We introduce a continuous-time analog solver for MaxSAT, a quintessential class of NP-hard discrete optimization problems, where the task is to find a truth assignment for a set of Boolean variables satisfying the maximum number of given…

Computational Complexity · Computer Science 2018-01-30 Botond Molnár , Melinda Varga , Zoltan Toroczkai , Mária Ercsey-Ravasz

This paper presents a MaxSAT benchmark focused on identifying critical nodes in AND/OR graphs. We use AND/OR graphs to model Industrial Control Systems (ICS) as they are able to semantically grasp intricate logical interdependencies among…

Cryptography and Security · Computer Science 2019-11-05 Martín Barrère , Chris Hankin , Nicolas Nicolau , Demetrios G. Eliades , Thomas Parisini

Propositional satisfiability (SAT) solvers, which typically operate using conjunctive normal form (CNF), have been successfully applied in many domains. However, in some application areas such as circuit verification, bounded model…

Logic in Computer Science · Computer Science 2013-11-19 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Recent universal-hashing based approaches to sampling and counting crucially depend on the runtime performance of SAT solvers on formulas expressed as the conjunction of both CNF constraints and variable-width XOR constraints (known as…

Discrete Mathematics · Computer Science 2017-10-18 Jeffrey M. Dudek , Kuldeep S. Meel , Moshe Y. Vardi

This paper describes a novel unbounded software model checking approach to find errors in programs written in the C language based on incremental SAT-solving. Instead of using the traditional assumption based API to incremental SAT solvers…

Symbolic Computation · Computer Science 2018-02-14 Marko Kleine Büning , Tomas Balyo , Carsten Sinz

In this paper, we present a new version of the $i$QIST software package, which is capable of solving various quantum impurity models by using the hybridization expansion (or strong coupling expansion) continuous-time quantum Monte Carlo…

Computational Physics · Physics 2017-11-22 Li Huang

Compiler correctness is crucial, as miscompilation can falsify program behaviors, leading to serious consequences. Fuzzing has been studied to uncover compiler defects. However, compiler fuzzing remains challenging: Existing arts focus on…

Software Engineering · Computer Science 2024-09-06 Chenyuan Yang , Yinlin Deng , Runyu Lu , Jiayi Yao , Jiawei Liu , Reyhaneh Jabbarvand , Lingming Zhang

Recent years have witnessed a wide array of results in software testing, exploring different approaches and methodologies ranging from fuzzers to symbolic engines, with a full spectrum of instances in between such as concolic execution and…

Software Engineering · Computer Science 2021-06-14 Luca Borzacchiello , Emilio Coppa , Camil Demetrescu

Correctness and robustness are essential for logic synthesis applications, but they are often only tested with a limited set of benchmarks. Moreover, when the application fails on a large benchmark, the debugging process may be tedious and…

Software Engineering · Computer Science 2022-07-28 Siang-Yun Lee , Heinz Riener , Giovanni De Micheli

We study the counting version of the Boolean satisfiability problem #SAT using the ZH-calculus, a graphical language originally introduced to reason about quantum circuits. Using this, we generalize #SAT to a weighted variant we call…

Computational Complexity · Computer Science 2024-08-13 Tuomas Laakkonen , Konstantinos Meichanetzidis , John van de Wetering

We apply the superiorization methodology to the intensity-modulated radiation therapy (IMRT) treatment planning problem. In superiorization, linear voxel dose inequality constraints are the fundamental modeling tool within which a…

Medical Physics · Physics 2022-07-28 Florian Barkmann , Yair Censor , Niklas Wahl

Maximum 2-satisfiability (MAX-2-SAT) is a type of combinatorial decision problem that is known to be NP-hard. In this paper, we compare LightSolver's quantum-inspired algorithm to a leading deep-learning solver for the MAX-2-SAT problem.…