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A new stream of research was born in the last decade with the goal of mining itemsets of interest using Constraint Programming (CP). This has promoted a natural way to combine complex constraints in a highly flexible manner. Although CP…

Artificial Intelligence · Computer Science 2012-07-27 Rui Henriques , Inês Lynce , Vasco Manquinho

The secure hash function SHA-256 is a function on bit strings. This means that its restriction to the bit strings of any given length can be computed by a finite instruction sequence that contains only instructions to set and get the…

Programming Languages · Computer Science 2017-11-21 J. A. Bergstra , C. A. Middelburg

Probabilistic membership filters are a type of data structure designed to quickly verify whether an element of a large data set belongs to a subset of the data. While false negatives are not possible, false positives are. Therefore, the…

Data Structures and Algorithms · Computer Science 2018-01-22 Chao Fang , Zheng Zhu , Helmut G. Katzgraber

The SAT attack has shown to be efficient against most combinational logic encryption methods. It can be extended to attack sequential logic encryption techniques by leveraging circuit unrolling and model checking methods. However, with no…

Cryptography and Security · Computer Science 2022-02-18 Yinghua Hu , Yuke Zhang , Kaixin Yang , Dake Chen , Peter A. Beerel , Pierluigi Nuzzo

This paper presents a new algorithm for calculating hash signatures of sets which can be directly used for Jaccard similarity estimation. The new approach is an improvement over the MinHash algorithm, because it has a better runtime…

Data Structures and Algorithms · Computer Science 2017-06-20 Otmar Ertl

Finding a low-weight multiple (LWPM) of a given polynomial is very useful in the cryptanalysis of stream ciphers and arithmetic in finite fields. There is no known deterministic polynomial time complexity algorithm for solving this problem,…

Computational Complexity · Computer Science 2024-10-15 Ferucio Laurenţiu Ţiplea , Simona-Maria Lăzărescu

In the Max $r$-SAT problem, the input is a CNF formula with $n$ variables where each clause is a disjunction of at most $r$ literals. The objective is to compute an assignment which satisfies as many of the clauses as possible. While there…

Data Structures and Algorithms · Computer Science 2021-07-06 Arindam Biswas , Venkatesh Raman

In this article, we show that the completion problem, i.e. the decision problem whether a partial structure can be completed to a full structure, is NP-complete for many combinatorial structures. While the gadgets for most reductions in…

Computational Complexity · Computer Science 2024-02-12 Helena Bergold , Manfred Scheucher , Felix Schröder

Repetitiveness measures reveal profound characteristics of datasets, and give rise to compressed data structures and algorithms working in compressed space. Alas, the computation of some of these measures is NP-hard, and straight-forward…

Data Structures and Algorithms · Computer Science 2022-07-13 Hideo Bannai , Keisuke Goto , Masakazu Ishihata , Shunsuke Kanda , Dominik Köppl , Takaaki Nishimoto

Due to the compelling efficiency in retrieval and storage, similarity-preserving hashing has been widely applied to approximate nearest neighbor search in large-scale image retrieval. However, existing methods have poor performance in…

Multimedia · Computer Science 2020-04-27 Xingbo Liu , Xiushan Nie , Qi Dai , Yupan Huang , Yilong Yin

Propositional satisfiability (SAT) is at the nucleus of state-of-the-art approaches to a variety of computationally hard problems, one of which is cryptanalysis. Moreover, a number of practical applications of SAT can only be tackled…

Artificial Intelligence · Computer Science 2018-03-14 Alexander Semenov , Oleg Zaikin , Ilya Otpuschennikov , Stepan Kochemazov , Alexey Ignatiev

Hashing has proven a valuable tool for large-scale information retrieval. Despite much success, existing hashing methods optimize over simple objectives such as the reconstruction error or graph Laplacian related loss functions, instead of…

Machine Learning · Computer Science 2014-07-07 Guosheng Lin , Chunhua Shen , Jianxin Wu

Random hashing can provide guarantees regarding the performance of data structures such as hash tables---even in an adversarial setting. Many existing families of hash functions are universal: given two data objects, the probability that…

Data Structures and Algorithms · Computer Science 2018-10-16 Dmytro Ivanchykhin , Sergey Ignatchenko , Daniel Lemire

The problem of finding a minimal circuit to implement a given function is one of the oldest in electronics. It is known to be NP-hard. Still, many tools exist to find sub-optimal circuits to implement a function. In electronics, such tools…

Hardware Architecture · Computer Science 2026-01-14 Marie Bolzer , Sébastien Duval , Marine Minier

Cryptographic hash functions play a central role in cryptography. Hash functions were introduced in cryptology to provide message integrity and authentication. MD5, SHA1 and RIPEMD are among the most commonly used message digest algorithm.…

Cryptography and Security · Computer Science 2010-03-09 Harshvardhan Tiwari , Dr. Krishna Asawa

We present a constructive SAT-based algorithm to determine the multiplicative complexity of a Boolean function, i.e., the smallest number of AND gates in any logic network that consists of 2-input AND gates, 2-input XOR gates, and…

Data Structures and Algorithms · Computer Science 2020-05-06 Mathias Soeken

The problem of fast items retrieval from a fixed collection is often encountered in most computer science areas, from operating system components to databases and user interfaces. We present an approach based on hash tables that focuses on…

Neural and Evolutionary Computing · Computer Science 2020-07-17 Dan Domnita , Ciprian Oprisa

Learning-based binary hashing has become a powerful paradigm for fast search and retrieval in massive databases. However, due to the requirement of discrete outputs for the hash functions, learning such functions is known to be very…

Machine Learning · Computer Science 2017-08-15 Bo Dai , Ruiqi Guo , Sanjiv Kumar , Niao He , Le Song

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

Rapid development in quantum computing leads to the appearance of several quantum applications. Quantum Fourier Transformation (QFT) sits at the heart of many of these applications. Existing work leverages SAT solver or heuristics to…

Quantum Physics · Physics 2024-08-22 Yuwei Jin , Xiangyu Gao , Minghao Guo , Henry Chen , Fei Hua , Chi Zhang , Eddy Z. Zhang