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It has been widely observed that there is no single "dominant" SAT solver; instead, different solvers perform best on different instances. Rather than following the traditional approach of choosing the best solver for a given class of…

Artificial Intelligence · Computer Science 2011-11-10 Lin Xu , Frank Hutter , Holger H. Hoos , Kevin Leyton-Brown

We present a new string SMT solver, Z3str3, that is faster than its competitors Z3str2, Norn, CVC4, S3, and S3P over a majority of three industrial-strength benchmarks, namely Kaluza, PISA, and IBM AppScan. Z3str3 supports string equations,…

Logic in Computer Science · Computer Science 2017-04-27 Murphy Berzish , Yunhui Zheng , Vijay Ganesh

It is well known that different solution strategies work well for different types of instances of hard combinatorial problems. As a consequence, most solvers for the propositional satisfiability problem (SAT) expose parameters that allow…

Artificial Intelligence · Computer Science 2016-08-03 Frank Hutter , Marius Lindauer , Adrian Balint , Sam Bayless , Holger Hoos , Kevin Leyton-Brown

Cryptographic problems can often be reduced to solving Boolean polynomial systems, whose equivalent logical formulas can be treated using SAT solvers. Given the algebraic nature of the problem, the use of the logical XOR operator is common…

Cryptography and Security · Computer Science 2020-12-21 Monika Trimoska , Sorina Ionica , Gilles Dequen

Parallel SAT solvers are becoming mainstream. Their performance has made them win the past two SAT competitions consecutively and are in the limelight of research and industry. The problem is that it is not known exactly what is needed to…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-13 Roberto Asín , Juan Olate , Leo Ferres

Item Response Theory (IRT) aims to assess latent abilities of respondents based on the correctness of their answers in aptitude test items with different difficulty levels. In this paper, we propose the $\beta^3$-IRT model, which models…

Machine Learning · Statistics 2019-06-04 Yu Chen , Telmo Silva Filho , Ricardo B. C. Prudêncio , Tom Diethe , Peter Flach

The Maximum Satisfiability (MaxSAT) problem is the problem of finding a truth assignment that maximizes the number of satisfied clauses of a given Boolean formula in Conjunctive Normal Form (CNF). Many exact solvers for MaxSAT have been…

Artificial Intelligence · Computer Science 2018-06-13 Mohamed El Halaby

Boolean satisfiability (SAT) solving is a fundamental problem in computer science. Finding efficient algorithms for SAT solving has broad implications in many areas of computer science and beyond. Quantum SAT solvers have been proposed in…

Quantum Physics · Physics 2023-08-08 Shang-Wei Lin , Tzu-Fan Wang , Yean-Ru Chen , Zhe Hou , David Sanán , Yon Shin Teo

We improve further the 2015 version of abcdSAT by various heuristics such as at-least-one recently used strategy, learnt clause database approximation reduction etc. Based on the requirement of different tracks at the SAT Competition 2016,…

Logic in Computer Science · Computer Science 2016-05-06 Jingchao Chen

Theorem provers has been used extensively in software engineering for software testing or verification. However, software is now so large and complex that additional architecture is needed to guide theorem provers as they try to generate…

Software Engineering · Computer Science 2021-01-11 Jianfeng Chen , Xipeng Shen , Tim Menzies

3-SAT problem is of great importance to many technical and scientific applications. This paper presents a new hybrid evolutionary algorithm for solving this satisfiability problem. 3-SAT problem has the huge search space and hence it is…

Artificial Intelligence · Computer Science 2013-06-24 Nasser Lotfi , Jamshid Tamouk , Mina Farmanbar

The integration of Inverter-Based Resource (IBR) model into phasor-domain short circuit (SC) solvers challenges their numerical stability. To address the challenge, this paper proposes a solver that improves numerical stability by employing…

Systems and Control · Electrical Eng. & Systems 2024-11-20 Aboutaleb Haddadi , Evangelos Farantatos , Ilhan Kocar

The Maximum Satisfiability problem (MaxSAT) is a major optimization challenge with numerous practical applications. In recent MaxSAT evaluations, most MaxSAT solvers have incorporated an Integer Linear Programming (ILP) solver into their…

Artificial Intelligence · Computer Science 2026-01-27 Jialu Zhang , Chu-Min Li , Sami Cherif , Shuolin Li , Zhifei Zheng

The one of the most interesting problem of discrete mathematics is the SAT (satisfiability) problem. Good way in SAT solver developing is to transform the SAT problem to the problem of continuous search of global minimums of the functional…

Cryptography and Security · Computer Science 2009-07-13 R. T. Faizullin , I. G. Khnykin , V. I. Dylkeyt

We aim to find a solution $\bm{x}\in\mathbb{C}^n$ to a system of quadratic equations of the form $b_i=\lvert\bm{a}_i^*\bm{x}\rvert^2$, $i=1,2,\ldots,m$, e.g., the well-known NP-hard phase retrieval problem. As opposed to recently proposed…

Optimization and Control · Mathematics 2019-05-28 Ji Li , Jian-Feng Cai , Hongkai Zhao

Boolean satisfiability [1] (k-SAT) is one of the most studied optimization problems, as an efficient (that is, polynomial-time) solution to k-SAT (for $k\geq 3$) implies efficient solutions to a large number of hard optimization problems…

Computational Complexity · Computer Science 2012-08-03 Maria Ercsey-Ravasz , Zoltan Toroczkai

In this work a stand-alone preprocessor for SAT is presented that is able to perform most of the known preprocessing techniques. Preprocessing a formula in SAT is important for performance since redundancy can be removed. The preprocessor…

Artificial Intelligence · Computer Science 2011-09-01 Norbert Manthey

Recent years have witness remarkable performance improvements in maximum satisfiability (MaxSAT) solvers. In practice, MaxSAT algorithms often target the most generic MaxSAT formulation, whereas dedicated solvers, which address specific…

Logic in Computer Science · Computer Science 2017-05-16 Joao Marques-Silva , Alexey Ignatiev , Antonio Morgado

Boolean quadratic optimization problems occur in a number of applications. Their mixed integer-continuous nature is challenging, since it is inherently NP-hard. For this motivation, semidefinite programming relaxations (SDR's) are proposed…

Optimization and Control · Mathematics 2020-03-20 V. Cerone , S. M. Fosson , D. Regruto

Automatic synthesis of hardware components from declarative specifications is an ambitious endeavor in computer aided design. Existing synthesis algorithms are often implemented with Binary Decision Diagrams (BDDs), inheriting their…

Logic in Computer Science · Computer Science 2013-11-15 Roderick Bloem , Robert Koenighofer , Martina Seidl
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