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Sorting networks are oblivious sorting algorithms with many practical applications and rich theoretical properties. Propositional encodings of sorting networks are a key tool for proving concrete bounds on the minimum number of comparators…

数据结构与算法 · 计算机科学 2018-07-17 José A. R. Fonollosa

Previous efforts on making Satisfiability (SAT) solving fit for high performance computing (HPC) have lead to super-linear speedups on particular formulae, but for most inputs cannot make efficient use of a large number of processors.…

分布式、并行与集群计算 · 计算机科学 2022-05-16 Dominik Schreiber , Peter Sanders

The Boolean Satisfiability (SAT) problem stands out as an attractive NP-complete problem in theoretic computer science and plays a central role in a broad spectrum of computing-related applications. Exploiting and tuning SAT solvers under…

机器学习 · 计算机科学 2024-09-25 Weihuang Wen , Tianshu Yu

Modern SAT solvers routinely operate at scales that make it impractical to query a neural network for every branching decision. NeuroCore, proposed by Selsam and Bjorner, offered a proof-of-concept that neural networks can still accelerate…

计算机科学中的逻辑 · 计算机科学 2020-07-07 Jesse Michael Han

We propose to use local search algorithms to produce SAT instances which are harder to solve than randomly generated k-CNF formulae. The first results, obtained with rudimentary search algorithms, show that the approach deserves further…

神经与进化计算 · 计算机科学 2010-11-29 Olivier Bailleux

In this paper, we propose an algorithm for the positive one-in-three satisfiability problem (Pos1in3SAT). The proposed algorithm can efficiently decide the existence of a satisfying assignment in all assignments for a given formula by using…

数据结构与算法 · 计算机科学 2017-09-19 Shunichi Matsubara

State-of-the-art attacks against cyclic logic obfuscation use satisfiability solvers that are equipped with a set of cycle avoidance clauses. These cycle avoidance clauses are generated in a pre-processing step and define various key…

密码学与安全 · 计算机科学 2020-01-27 Shervin Roshanisefat , Hadi Mardani Kamali , Houman Homayoun , Avesta Sasan

The self-consistent procedure in electronic structure calculations is revisited using a highly efficient and robust algorithm for solving the non-linear eigenvector problem i.e. H({{\psi}}){\psi} = E{\psi}. This new scheme is derived from a…

计算物理 · 物理学 2015-06-12 Brendan Gavin , Eric Polizzi

Mathematical reasoning, a core ability of human intelligence, presents unique challenges for machines in abstract thinking and logical reasoning. Recent large pre-trained language models such as GPT-3 have achieved remarkable progress on…

机器学习 · 计算机科学 2023-03-03 Pan Lu , Liang Qiu , Kai-Wei Chang , Ying Nian Wu , Song-Chun Zhu , Tanmay Rajpurohit , Peter Clark , Ashwin Kalyan

In this work faster unsigned multiplication has been achieved by using a combination of High Performance Multiplication [HPM] column reduction technique and implementing a N-bit multiplier using 4 N/2-bit multipliers (recursive…

硬件体系结构 · 计算机科学 2011-10-20 V. Sreedeep , B. Ramkumar , Harish M Kittur

This paper presents SibylSat, a novel SAT-based method designed to efficiently solve totally-ordered HTN problems (TOHTN). In contrast to prevailing SAT-based HTN planners that employ a breadth-first search strategy, SibylSat adopts a…

人工智能 · 计算机科学 2024-11-05 Gaspard Quenard , Damier Pellier , Humbert Fiorino

In this paper, we first demonstrate that b-bit minwise hashing, whose estimators are positive definite kernels, can be naturally integrated with learning algorithms such as SVM and logistic regression. We adopt a simple scheme to transform…

机器学习 · 统计学 2011-06-07 Ping Li , Anshumali Shrivastava , Joshua Moore , Arnd Christian Konig

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…

计算机科学中的逻辑 · 计算机科学 2013-11-15 Roderick Bloem , Robert Koenighofer , Martina Seidl

Most ATP benchmarks embed the final answer within the formal statement -- a convention we call "Easy Mode" -- a design that simplifies the task relative to what human competitors face and may lead to optimistic estimates of model…

人工智能 · 计算机科学 2026-04-20 Chengwu Liu , Yichun Yin , Ye Yuan , Jiaxuan Xie , Botao Li , Siqi Li , Jianhao Shen , Yan Xu , Lifeng Shang , Ming Zhang

Using nuclear magnetic resonance (NMR) techniques with three-qubit sample, we have experimentally implemented the highly structured algorithm for the 1-SAT problem proposed by Hogg. A simplified temporal averaging procedure was employed to…

量子物理 · 物理学 2009-11-07 Xinhua Peng , Xiwen Zhu , Ximing Fang , Mang Feng , Maili Liu , Kelin Gao

We present a hardware-accelerated SAT solver suitable for processor/Field Programmable Gate Arrays (FPGA) hybrid platforms, which have become the norm in the embedded domain. Our solution addresses a known bottleneck in SAT solving…

硬件体系结构 · 计算机科学 2023-12-19 Hariprasadh Godindasamy , Babak Esfandiari , Paulo Garcia

In literature, NAND and NOR are two logic gates that display functional completeness, hence regarded as Universal gates. So, the present effort is focused on exploring a library of universal gates in binary that are still unexplored in…

新兴技术 · 计算机科学 2023-08-25 Aadarsh G. Goenka , Shyamali Mitra , Mrinal K. Naskar , Nibaran Das

We revisit the satisfiability problem for two-variable logic, denoted by SAT(FO2), which is known to be NEXP-complete. The upper bound is usually derived from its well known Exponential Size Model (ESM) property. Whether it can be…

计算机科学中的逻辑 · 计算机科学 2021-11-30 Ting-Wei Lin , Chia-Hsuan Lu , Tony Tan

In this work, we propose LUT-Lock, a novel Look-Up-Table-based netlist obfuscation algorithm, for protecting the intellectual property that is mapped to an FPGA bitstream or an ASIC netlist. We, first, illustrate the effectiveness of…

密码学与安全 · 计算机科学 2018-05-11 Hadi Mardani Kamali , Kimia Zamiri Azar , Kris Gaj , Houman Homayoun , Avesta Sasan

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,…

计算复杂性 · 计算机科学 2024-10-15 Ferucio Laurenţiu Ţiplea , Simona-Maria Lăzărescu