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PolySAT is a word-level decision procedure supporting bit-precise SMT reasoning over polynomial arithmetic with large bit-vector operations. The PolySAT calculus extends conflict-driven clause learning modulo theories with two key…

Logic in Computer Science · Computer Science 2024-06-10 Jakob Rath , Clemens Eisenhofer , Daniela Kaufmann , Nikolaj Bjørner , Laura Kovács

The constituent parts of a quantum computer are inherently vulnerable to errors. To this end we have developed quantum error-correcting codes to protect quantum information from noise. However, discovering codes that are capable of a…

Quantum Physics · Physics 2016-08-24 Benjamin J. Brown , Naomi H. Nickerson , Dan E. Browne

State-of-the-art Boolean satisfiability (SAT) solvers constitute a practical and competitive approach for solving various real-world problems. To encourage their widespread adoption, the relatively high barrier of entry following from the…

Logic in Computer Science · Computer Science 2025-05-22 Christoph Jabs

SAT technology has proven to be surprisingly effective in a large variety of domains. However, for the Weighted CSP problem dedicated algorithms have always been superior. One approach not well-studied so far is the use of SAT in…

Artificial Intelligence · Computer Science 2025-01-14 Aleksandra Petrova , Javier Larrosa , Emma Rollón

Although state-of-the-art (SOTA) SAT solvers based on conflict-driven clause learning (CDCL) have achieved remarkable engineering success, their sequential nature limits the parallelism that may be extracted for acceleration on platforms…

Artificial Intelligence · Computer Science 2023-08-30 Yunuo Cen , Zhiwei Zhang , Xuanyao Fong

Semantic-based test generators are widely used to produce failure-inducing inputs for Deep Learning (DL) systems. They typically generate challenging test inputs by applying random perturbations to input semantic concepts until a failure is…

Software Engineering · Computer Science 2025-12-01 Xingcheng Chen , Matteo Biagiola , Vincenzo Riccio , Marcelo d'Amorim , Andrea Stocco

Over the last two decades, we have seen a dramatic improvement in the efficiency of conflict-driven clause-learning Boolean satisfiability (CDCL SAT) solvers on industrial problems from a variety of domains. The availability of such…

Logic in Computer Science · Computer Science 2020-05-28 Saeed Nejati , Vijay Ganesh

Mutation testing can help minimize the delivery of faulty software. Therefore, it is a recommended practice for developing embedded software in safety-critical cyber-physical systems (CPS). However, state-of-the-art mutation testing…

Software Engineering · Computer Science 2025-07-04 Jaekwon Lee , Fabrizio Pastore , Lionel Briand

The IC3 algorithm, also known as PDR, is a SAT-based model checking algorithm that has significantly influenced the field in recent years due to its efficiency, scalability, and completeness. It utilizes SAT solvers to solve a series of SAT…

Logic in Computer Science · Computer Science 2025-05-22 Yuheng Su , Qiusong Yang , Yiwei Ci , Yingcheng Li , Tianjun Bu , Ziyu Huang

The Kaczmarz method is an iterative method for solving large systems of equations that projects iterates orthogonally onto the solution space of each equation. In contrast to direct methods such as Gaussian elimination or QR-factorization,…

Numerical Analysis · Computer Science 2013-09-30 Noreen Jamil , Deanna Needell , Johannes Muller , Christof Lutteroth , Gerald Weber

The Model-Constructing Satisfiability Calculus (MCSAT) framework has been applied to SMT problems over various arithmetic theories. NLSAT, an implementation using cylindrical algebraic decomposition (CAD) for explanation, is especially…

Symbolic Computation · Computer Science 2025-09-30 Zhonghan Wang

XQCAT (eXtra Quark Combined Analysis Tool) is a tool aimed at determining exclusion confidence levels for scenarios of new physics characterised by the presence of one or multiple heavy extra quarks which interact through Yukawa couplings…

High Energy Physics - Phenomenology · Physics 2016-05-04 D. Barducci , A. Belyaev , M. Buchkremer , J. Marrouche , S. Moretti , L. Panizzi

The most successful parallel SAT and MaxSAT solvers follow a portfolio approach, where each thread applies a different algorithm (or the same algorithm configured differently) to solve a given problem instance. The main goal of building a…

Logic in Computer Science · Computer Science 2015-05-12 Miguel Neves , Inês Lynce , Vasco Manquinho

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

The ever-increasing complexity of design specifications for processors and intellectual property (IP) presents a formidable challenge for early bug detection in the modern IC design cycle. The recent advancements in hardware fuzzing have…

Cryptography and Security · Computer Science 2025-10-01 Raghul Saravanan , Sai Manoj P D

Boolean satisfiability (SAT) solvers are widely used in hardware verification, cryptanalysis, automatic test-pattern generation, and side-channel reasoning workflows. Modern conflict-driven clause-learning (CDCL) solvers are highly…

Cryptography and Security · Computer Science 2026-05-06 Melki Bino

Traditional Boolean satisfiability (SAT) solvers based on the conflict-driven clause-learning (CDCL) framework fare poorly on formulas involving large numbers of parity constraints. The CryptoMiniSat solver augments CDCL with Gauss-Jordan…

Logic in Computer Science · Computer Science 2023-04-11 Mate Soos , Randal E. Bryant

While accelerated computing has transformed many domains of computing, its impact on logical reasoning, specifically Boolean satisfiability (SAT), remains limited. State-of-the-art SAT solvers rely heavily on inherently sequential…

Logic in Computer Science · Computer Science 2025-11-12 Steve Dai , Cunxi Yu , Kalyan Krishnamani , Brucek Khailany

Industrial control systems (ICSs) are types of cyber-physical systems in which programs, written in languages such as ladder logic or structured text, control industrial processes through sensing and actuating. Given the use of ICSs in…

Software Engineering · Computer Science 2023-07-25 Christopher M. Poskitt , Yuqi Chen , Jun Sun , Yu Jiang

Algorithms for solving nonconvex, nonsmooth, finite-sum optimization problems are proposed and tested. In particular, the algorithms are proposed and tested in the context of an optimization problem formulation arising in semi-supervised…

Optimization and Control · Mathematics 2022-07-21 Gulcin Dinc Yalcin , Frank E. Curtis
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