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In this paper we propose a new approach for developing a proof that P=NP. We propose to use a polynomial-time reduction of a NP-complete problem to Linear Programming. Earlier such attempts used polynomial-time transformation which is a…

计算复杂性 · 计算机科学 2023-02-20 Malay Dutta , Anjana K. Mahanta

Cycle-accurate software simulation of multicores with complex microarchitectures is often excruciatingly slow. People use simplified core models to gain simulation speed. However, a persistent question is to what extent the results derived…

硬件体系结构 · 计算机科学 2016-10-10 Sizhuo Zhang , Andrew Wright , Daniel Sanchez , Arvind

Causal consistency is one of the most adopted consistency criteria for distributed implementations of data structures. It ensures that operations are executed at all sites according to their causal precedence. We address the issue of…

计算机科学中的逻辑 · 计算机科学 2016-11-16 Ahmed Bouajjani , Constantin Enea , Rachid Guerraoui , Jad Hamza

In this paper, we consider a matroid generalization of the stable matching problem. In particular, we consider the setting where preferences may contain ties. For this generalization, we propose a polynomial-time algorithm for the problem…

计算机科学与博弈论 · 计算机科学 2026-01-19 Naoyuki Kamiyama

The problem of distributing the workload on a parallel computer to minimize the overall runtime is known as Multiprocessor Scheduling Problem. It is NP-hard, but like many other NP-hard problems, the average hardness of random instances…

无序系统与神经网络 · 物理学 2016-08-19 Heiko Bauke , Stephan Mertens , Andreas Engel

This is the latest in a series of articles aimed at exploring the relationship between the complexity classes of P and NP. In the previous papers, we have proved that the sat CNF problem is polynomially reduced to the problem of finding a…

计算复杂性 · 计算机科学 2023-11-01 Stepan G. Margaryan

Assuming that P is not equal to NP, the worst-case run time of any algorithm solving an NP-complete problem must be super-polynomial. But what is the fastest run time we can get? Before one can even hope to approach this question, a more…

数据结构与算法 · 计算机科学 2026-01-09 Jesper Nederlof

While previous work on energy-efficient algorithms focused on assumption that tasks can be assigned to any processor, we initially study the problem of task scheduling on restricted parallel processors. The objective is to minimize the…

数据结构与算法 · 计算机科学 2013-09-17 Xibo Jin , Fa Zhang , Ying Song , Liya Fan , Zhiyong Liu

As a partial answer to a question of Rao, a deterministic and customizable efficient algorithm is presented to test whether an arbitrary graphical degree sequence has a bipartite realization. The algorithm can be configured to run in…

组合数学 · 数学 2019-08-20 Kai Wang

Parallel computing is a standard approach to achieving high-performance computing (HPC). Three commonly used methods to implement parallel computing include: 1) applying multithreading technology on single-core or multi-core CPUs; 2)…

分布式、并行与集群计算 · 计算机科学 2024-09-18 Xinyao Yi

We describe a technique for systematic testing of multi-threaded programs. We combine Quasi-Optimal Partial-Order Reduction, a state-of-the-art technique that tackles path explosion due to interleaving non-determinism, with symbolic…

编程语言 · 计算机科学 2020-07-23 Daniel Schemmel , Julian Büning , César Rodríguez , David Laprell , Klaus Wehrle

In real-time systems, in addition to the functional correctness recurrent tasks must fulfill timing constraints to ensure the correct behavior of the system. Partitioned scheduling is widely used in real-time systems, i.e., the tasks are…

数据结构与算法 · 计算机科学 2018-09-13 Jian-Jia Chen , Nikhil Bansal , Samarjit Chakraborty , Georg von der Brüggen

Many computer systems for calculating the proper organization of memory are among the most critical issues. Using a tier cache memory (along with branching prediction) is an effective means of increasing modern multi-core processors'…

网络与互联网体系结构 · 计算机科学 2021-05-21 Mohamed A. Hamada , Abdelrahman Abdallah

In a seminal work, Gibbons and Korach studied the complexity of deciding whether an observed sequence of reads and writes of a multi-threaded program admits a sequentially consistent interleaving. They showed the problem to be NP-hard even…

计算复杂性 · 计算机科学 2026-04-14 R. Govind , S. Krishna , Sanchari Sil , B. Srivathsan

This article presents a validation of a recently proposed strongly polynomial-time algorithm for the general linear programming problem. The proposed algorithm is an implicit reduction procedure that combines primal and dual linear…

最优化与控制 · 数学 2026-04-28 Samuel Awoniyi

We consider the problem of evaluating distinct multivariate polynomials over several massive datasets in a distributed computing system with a single master node and multiple worker nodes. We focus on the general case when each multivariate…

信息论 · 计算机科学 2023-08-23 Wilton Kim , Stanislav Kruglik , Han Mao Kiah

In this paper we investigate formal verification problems for Neural Network computations. Of central importance will be various robustness and minimization problems such as: Given symbolic specifications of allowed inputs and outputs in…

人工智能 · 计算机科学 2024-03-21 Adrian Wurm

An efficient quantum algorithm is proposed to solve in polynomial time the parity problem, one of the hardest problems both in conventional quantum computation and in classical computation, on NMR quantum computers. It is based on the…

量子物理 · 物理学 2007-05-23 Xijia Miao

The imposition of real-time constraints on a parallel computing environment- specifically high-performance, cluster-computing systems- introduces a variety of challenges with respect to the formal verification of the system's timing…

计算机科学中的逻辑 · 计算机科学 2013-01-03 Peter Hui , Satish Chikkagoudar

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

计算物理 · 物理学 2013-11-20 R. Meyer