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We present a novel technique for converting a Boolean CNF into an orthogonal DNF, aka exclusive sum of products. Our method (which will be pitted against a hardwired command from Mathematica) zooms in on the models of the CNF by imposing…

人工智能 · 计算机科学 2020-10-06 Marcel Wild

Let $W$ be a finite set which simultaneously serves as the universe of any poset $(W,\preceq)$ and as the vertex set of any graph $G$. Our algorithm, abbreviated A-I-I, enumerates (in a compressed format using don't-care symbols) all…

计算复杂性 · 计算机科学 2025-04-08 Marcel Wild

Given a Binary Decision Diagram $B$ of a Boolean function $\varphi$ in $n$ variables, it is well known that all $\varphi$-models can be enumerated in output polynomial time, and in a compressed way (using don't-care symbols). We show that…

数据结构与算法 · 计算机科学 2023-12-19 Marcel Wild , Yves Semegni

In this report, we propose a quick survey of the currently known techniques for encoding a Boolean cardinality constraint into a CNF formula, and we discuss about the relevance of these encodings. We also propose models to facilitate…

人工智能 · 计算机科学 2010-12-20 Olivier Bailleux

A Pseudo-Boolean (PB) constraint is a linear arithmetic constraint over Boolean variables. PB constraints are convenient and widely used in expressing NP-complete problems. We introduce a new, two step, method for transforming PB…

计算机科学中的逻辑 · 计算机科学 2015-03-19 Amir Aavani

Our main objective is the COMPRESSED enumeration (based on wildcards) of all minimal hitting sets of general hypergraphs. To the author's best knowledge the only previous attempt towards compression, due to Toda, is based on BDD's and much…

组合数学 · 数学 2023-02-16 Marcel Wild

In this paper, we address the problem of enumerating all models of a Boolean formula in conjunctive normal form (CNF). We propose an extension of CDCL-based SAT solvers to deal with this fundamental problem. Then, we provide an experimental…

人工智能 · 计算机科学 2013-05-08 Said Jabbour , Lakhdar Sais , Yakoub Salhi

Boolean functional synthesis is the process of constructing a Boolean function from a Boolean specification that relates input and output variables. Despite significant recent developments in synthesis algorithms, Boolean functional…

计算机科学中的逻辑 · 计算机科学 2018-08-27 Supratik Chakraborty , Dror Fried , Lucas M. Tabajara , Moshe Y. Vardi

Boolean Satisfiability Problem (SAT) is one of the core problems in computer science. As one of the fundamental NP-complete problems, it can be used - by known reductions - to represent instances of variety of hard decision problems.…

数据结构与算法 · 计算机科学 2019-11-05 Michał Karpiński

In this paper, we propose a first application of data mining techniques to propositional satisfiability. Our proposed Mining4SAT approach aims to discover and to exploit hidden structural knowledge for reducing the size of propositional…

人工智能 · 计算机科学 2013-04-17 Said Jabbour , Lakhdar Sais , Yakoub Salhi

A central task in knowledge compilation is to compile a CNF-SAT instance into a succinct representation format that allows efficient operations such as testing satisfiability, counting, or enumerating all solutions. Useful representation…

计算机科学中的逻辑 · 计算机科学 2024-10-07 Christoph Berkholz , Stefan Mengel , Hermann Wilhelm

We consider the ubiquitous technique of VByte compression, which represents each integer as a variable length sequence of bytes. The low 7 bits of each byte encode a portion of the integer, and the high bit of each byte is reserved as a…

信息检索 · 计算机科学 2017-01-17 Jeff Plaisance , Nathan Kurz , Daniel Lemire

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…

数据结构与算法 · 计算机科学 2020-05-01 Kuldeep S. Meel , S. Akshay

We present an efficient coresets-based neural network compression algorithm that sparsifies the parameters of a trained fully-connected neural network in a manner that provably approximates the network's output. Our approach is based on an…

机器学习 · 计算机科学 2019-05-21 Cenk Baykal , Lucas Liebenwein , Igor Gilitschenski , Dan Feldman , Daniela Rus

We consider the optimization of deep convolutional neural networks (CNNs) such that they provide good performance while having reduced complexity if deployed on either conventional systems utilizing spatial-domain convolution or lower…

计算机视觉与模式识别 · 计算机科学 2018-10-30 Yoojin Choi , Mostafa El-Khamy , Jungwon Lee

This paper describes learning in a compiler for algorithms solving classes of the logic minimization problem MINSAT, where the underlying propositional formula is in conjunctive normal form (CNF) and where costs are associated with the…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Anja Remshagen , Klaus Truemper

In Bounded Model Checking both the system model and the checked property are translated into a Boolean formula to be analyzed by a SAT-solver. We introduce a new encoding technique which is particularly optimized for managing quantitative…

计算机科学中的逻辑 · 计算机科学 2015-05-13 Matteo Pradella , Angelo Morzenti , Pierluigi San Pietro

Two major considerations when encoding pseudo-Boolean (PB) constraints into SAT are the size of the encoding and its propagation strength, that is, the guarantee that it has a good behaviour under unit propagation. Several encodings with…

人工智能 · 计算机科学 2021-01-07 Alexis de Colnet

Configurable systems typically consist of reusable assets that have dependencies between each other. To specify such dependencies, feature models are commonly used. As feature models in practice are often complex, automated reasoning is…

人工智能 · 计算机科学 2025-05-12 Chico Sundermann , Stefan Vill , Elias Kuiter , Sebastian Krieter , Thomas Thüm , Matthias Tichy

Anomaly detection holds considerable industrial significance, especially in scenarios with limited anomalous data. Currently, reconstruction-based and unsupervised representation-based approaches are the primary focus. However, unsupervised…

计算机视觉与模式识别 · 计算机科学 2025-12-29 Xiao Jin , Liang Diao , Qixin Xiao , Yifan Hu , Ziqi Zhang , Yuchen Liu , Haisong Gu
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