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This paper introduces a novel method for synthesizing digital circuits derived from Binary Decision Diagrams (BDDs) that can yield to reduction in power dissipation. The power reduction is achieved by decreasing the switching activity in a…

Hardware Architecture · Computer Science 2007-05-23 Denis V. Popel

Chain reduction enables reduced ordered binary decision diagrams (BDDs) and zero-suppressed binary decision diagrams (ZDDs) to each take advantage of the others' ability to symbolically represent Boolean functions in compact form. For any…

Data Structures and Algorithms · Computer Science 2017-10-19 Randal E. Bryant

Two-level logic minimization is a central problem in logic synthesis, and has applications in reliability analysis and automated reasoning. This paper represents a method of minimizing Boolean sum of products function with binary decision…

Data Structures and Algorithms · Computer Science 2012-03-29 Debajit Sensarma , Subhashis Banerjee , Krishnendu Basuli , Saptarshi Naskar , Samar Sen Sarma

The paper introduces a new technique for compressing Binary Decision Diagrams in those cases where random access is not required. Using this technique, compression and decompression can be done in linear time in the size of the BDD and…

Artificial Intelligence · Computer Science 2008-12-18 Esben Rune Hansen , S. Srinivasa Rao , Peter Tiedemann

The size and complexity of software and hardware systems have significantly increased in the past years. As a result, it is harder to guarantee their correct behavior. One of the most successful methods for automated verification of…

Artificial Intelligence · Computer Science 2011-07-04 O. Grumberg , S. Livne , S. Markovitch

Binary Decision Diagrams (BDDs) are instrumental in many electronic design automation (EDA) tasks thanks to their compact representation of Boolean functions. In BDD-based reversible-circuit synthesis, which is critical for quantum…

Hardware Architecture · Computer Science 2025-11-12 Mingkai Miao , Jianheng Tang , Guangyu Hu , Hongce Zhang

Software methods introduced for automated design of approximate implementations of arithmetic circuits rely on fast and accurate evaluation of approximate candidate implementations. To accelerate the evaluation of circuit error, we propose…

Hardware Architecture · Computer Science 2022-08-29 Vojtech Mrazek

Distributed systems, such as biological and artificial neural networks, process information via complex interactions engaging multiple subsystems, resulting in high-order patterns with distinct properties across scales. Investigating how…

Information Theory · Computer Science 2025-04-23 Aaron J. Gutknecht , Fernando E. Rosas , David A. Ehrlich , Abdullah Makkeh , Pedro A. M. Mediano , Michael Wibral

Recent work on weighted model counting has been very successfully applied to the problem of probabilistic inference in Bayesian networks. The probability distribution is encoded into a Boolean normal form and compiled to a target language,…

Artificial Intelligence · Computer Science 2016-10-19 Giso H. Dal , Peter J. F. Lucas

Ordered binary decision diagrams (OBDDs) are an efficient data structure for representing and manipulating Boolean formulas. With respect to different variable orders, the OBDDs' sizes may vary from linear to exponential in the number of…

Artificial Intelligence · Computer Science 2018-11-07 Feifan Xu , Fei He , Enze Xie , Liang Li

We follow up on the idea of Lars Arge to rephrase the Reduce and Apply procedures of Binary Decision Diagrams (BDDs) as iterative I/O-efficient algorithms. We identify multiple avenues to simplify and improve the performance of his proposed…

Data Structures and Algorithms · Computer Science 2026-03-25 Steffan Christ Sølvsten , Jaco van de Pol , Anna Blume Jakobsen , Mathias Weller Berg Thomasen

Ordered Binary Decision Diagrams (OBDDs) are a data structure that is used in an increasing number of fields of Computer Science (e.g., logic synthesis, program verification, data mining, bioinformatics, and data protection) for…

Data Structures and Algorithms · Computer Science 2015-02-05 Anna Bernasconi , Valentina Ciriani , Lorenzo Lago

Despite the growing popularity of deep learning technologies, high memory requirements and power consumption are essentially limiting their application in mobile and IoT areas. While binary convolutional networks can alleviate these…

Computer Vision and Pattern Recognition · Computer Science 2020-08-05 Dmitry Ignatov , Andrey Ignatov

Deep neural networks have significantly improved performance on a range of tasks with the increasing demand for computational resources, leaving deployment on low-resource devices (with limited memory and battery power) infeasible. Binary…

Machine Learning · Computer Science 2022-06-22 Aaqib Saeed

The so-called block-term decomposition (BTD) tensor model has been recently receiving increasing attention due to its enhanced ability of representing systems and signals that are composed of \emph{blocks} of rank higher than one, a…

Numerical Analysis · Mathematics 2021-04-21 Athanasios A. Rontogiannis , Eleftherios Kofidis , Paris V. Giampouras

In this paper, based on a generalized scalar auxiliary variable approach with relaxation (R-GSAV), we construct a class of high-order backward differentiation formula (BDF) schemes with variable time steps for the…

Numerical Analysis · Mathematics 2025-06-10 Dawei Chen , Qinzhen Ren , Minghui Li

Higher-order information theory has become a rapidly growing toolkit in computational neuroscience, motivated by the idea that multivariate dependencies can reveal aspects of neural computation and communication that are invisible to…

Neurons and Cognition · Quantitative Biology 2025-12-03 D. Rebbin , K. J. A. Down , T. F. Varley , R. Ince , A. Canales-Johnson

We propose a novel binary message passing decoding algorithm for product-like codes based on bounded distance decoding (BDD) of the component codes. The algorithm, dubbed iterative BDD with scaled reliability (iBDD-SR), exploits the channel…

Information Theory · Computer Science 2019-09-20 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

This paper proposes ReBNet, an end-to-end framework for training reconfigurable binary neural networks on software and developing efficient accelerators for execution on FPGA. Binary neural networks offer an intriguing opportunity for…

Machine Learning · Computer Science 2018-03-29 Mohammad Ghasemzadeh , Mohammad Samragh , Farinaz Koushanfar

This paper proposes a new logic optimization paradigm based on circuit simulation, which reduces the need for Boolean computations such as SAT-solving or constructing BDDs. The paper develops a Boolean resubstitution framework to…

Logic in Computer Science · Computer Science 2020-07-07 Siang-Yun Lee , Heinz Riener , Alan Mishchenko , Robert K. Brayton , Giovanni De Micheli
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