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Given a CNF formula F on n variables, the problem of model counting or #SAT is to compute the number of satisfying assignments of F . Model counting is a fundamental but hard problem in computer science with varied applications. Recent…

Data Structures and Algorithms · Computer Science 2020-05-01 Kuldeep S. Meel , S. Akshay

This paper proposes a new algorithm for solving MAX2SAT problems based on combining search methods with semidefinite programming approaches. Semidefinite programming techniques are well-known as a theoretical tool for approximating maximum…

Optimization and Control · Mathematics 2018-12-18 Po-Wei Wang , J. Zico Kolter

Decision lists are one of the most easily explainable machine learning models. Given the renewed emphasis on explainable machine learning decisions, this machine learning model is increasingly attractive, combining small size and clear…

Artificial Intelligence · Computer Science 2020-10-21 Jinqiang Yu , Alexey Ignatiev , Pierre Le Bodic , Peter J. Stuckey

Cryptographic hash functions play a crucial role in ensuring data security, generating fixed-length hashes from variable-length inputs. The hash function SHA-256 is trusted for data security due to its resilience after over twenty years of…

Cryptography and Security · Computer Science 2024-07-01 Nahiyan Alamgir , Saeed Nejati , Curtis Bright

Most existing approaches to hashing apply a single form of hash function, and an optimization process which is typically deeply coupled to this specific form. This tight coupling restricts the flexibility of the method to respond to the…

Machine Learning · Computer Science 2013-09-10 Guosheng Lin , Chunhua Shen , David Suter , Anton van den Hengel

Hashing techniques are in great demand for a wide range of real-world applications such as image retrieval and network compression. Nevertheless, existing approaches could hardly guarantee a satisfactory performance with the extremely…

Information Retrieval · Computer Science 2020-02-13 Yadan Luo , Zi Huang , Yang Li , Fumin Shen , Yang Yang , Peng Cui

cryptographic hash function is a deterministic procedure that compresses an arbitrary block of numerical data and returns a fixed-size bit string. There exist many hash functions: MD5, HAVAL, SHA, ... It was reported that these hash…

Cryptography and Security · Computer Science 2011-11-23 Rene Ndoundam , Juvet Karnel Sadie

Currently, many verification algorithms are available to improve the reliability of software systems. Selecting the appropriate verification algorithm typically demands domain expertise and non-trivial manpower. An automated algorithm…

Software Engineering · Computer Science 2025-05-26 Jie Su , Liansai Deng , Cheng Wen , Rong Wang , Zhi Ma , Nan Zhang , Cong Tian , Zhenhua Duan , Shengchao Qin

We suggest a method for holding a dictionary data structure, which maps keys to values, in the spirit of Bloom Filters. The space requirements of the dictionary we suggest are much smaller than those of a hashtable. We allow storing n keys,…

Data Structures and Algorithms · Computer Science 2008-04-14 Ely Porat

Given an increasing sequence of integers $x_1,\ldots,x_n$ from a universe $\{0,\ldots,u-1\}$, the monotone minimal perfect hash function (MMPHF) for this sequence is a data structure that answers the following rank queries: $rank(x) = i$ if…

Data Structures and Algorithms · Computer Science 2024-04-19 Dmitry Kosolobov

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

Feature extraction is a fundamental task in the application of machine learning methods to SAT solving. It is used in algorithm selection and configuration for solver portfolios and satisfiability classification. Many approaches have been…

Artificial Intelligence · Computer Science 2022-05-02 Benjamin Provan-Bessell , Marco Dalla , Andrea Visentin , Barry O'Sullivan

Weighted Max-SAT is the optimization version of SAT and many important problems can be naturally encoded as such. Solving weighted Max-SAT is an important problem from both a theoretical and a practical point of view. In recent years, there…

Artificial Intelligence · Computer Science 2007-05-23 Javier Larrosa , Federico Heras , Simon de Givry

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

HalftimeHash is a new algorithm for hashing long strings. The goals are few collisions (different inputs that produce identical output hash values) and high performance. Compared to the fastest universal hash functions on long strings…

Data Structures and Algorithms · Computer Science 2021-04-22 Jim Apple

Hashing has been widely used for efficient similarity search based on its query and storage efficiency. To obtain better precision, most studies focus on designing different objective functions with different constraints or penalty terms…

Data Structures and Algorithms · Computer Science 2018-10-02 Xingbo Liu , Xiushan Nie , Yilong Yin

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 Satisfiability (SAT) is arguably the archetypical NP-complete decision problem. Progress in SAT solving algorithms has motivated an ever increasing number of practical applications in recent years. However, many practical uses of…

Logic in Computer Science · Computer Science 2014-02-17 Joao Marques-Silva , Mikolas Janota

Maximum Satisfiability (MaxSAT) is a well-known optimization pro- blem, with several practical applications. The most widely known MAXS AT algorithms are ineffective at solving hard problems instances from practical application domains.…

Artificial Intelligence · Computer Science 2007-12-10 Joao Marques-Silva , Jordi Planes

Constrained sampling and counting are two fundamental problems in artificial intelligence with a diverse range of applications, spanning probabilistic reasoning and planning to constrained-random verification. While the theory of these…

Artificial Intelligence · Computer Science 2015-12-22 Kuldeep S. Meel , Moshe Vardi , Supratik Chakraborty , Daniel J. Fremont , Sanjit A. Seshia , Dror Fried , Alexander Ivrii , Sharad Malik