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In this paper, we outline an approach to verifying parallel programs. A new mathematical model of parallel programs is introduced. The introduced model is illustrated by the verification of the matrix multiplication MPI program.

Logic in Computer Science · Computer Science 2021-10-19 Andrew M. Mironov

Sparse matrix vector multiplication (SpMV) is a fundamental kernel in scientific codes that rely on iterative solvers. In this first part of our work, we present both a sequential and a basic MPI parallel implementations of SpMV, aiming to…

Logic in Computer Science · Computer Science 2025-10-16 Junchao Zhang

The Multi-Criteria Test Suite Minimization (MCTSM) problem aims to remove redundant test cases, guided by adequacy criteria such as code coverage or fault detection capability. However, current techniques either exhibit a high loss of fault…

Software Engineering · Computer Science 2025-04-25 Sijia Gu , Ali Mesbah

It is well known that reformulating the original problem can be crucial for the performance of mixed-integer programming (MIP) solvers. To ensure correctness, all transformations must preserve the fea sibility status and optimal value of…

Optimization and Control · Mathematics 2024-03-21 Alexander Hoen , Andy Oertel , Ambros Gleixner , Jakob Nordström

The assignment problem is an essential problem in many application fields and frequently used to optimize resource usage. The problem is well understood and various efficient algorithms exist to solve the problem. However, it was unclear…

Cryptography and Security · Computer Science 2022-05-09 Thomas Loruenser , Florian Wohner , Stephan Krenn

Optimizing compilers have become a cornerstone for high-performance program generation in research and industry. Optimizations, including those implemented manually by a user and those target-specific and non-target-specific, are used to…

Programming Languages · Computer Science 2026-05-05 Emily Tucker , Louis-Noël Pouchet , Erika Hunhoff , Stephen Neuendorffer , Erwei Wang

Memory consistency models (MCMs) which govern inter-module interactions in a shared memory system, are a significant, yet often under-appreciated, aspect of system design. MCMs are defined at the various layers of the hardware-software…

Hardware Architecture · Computer Science 2017-02-09 Caroline Trippel , Yatin A. Manerkar , Daniel Lustig , Michael Pellauer , Margaret Martonosi

The efficiency and scalability of MPI collective operations, in particular the broadcast operation, plays an integral part in high performance computing applications. MPICH, as one of the contemporary widely-used MPI software stacks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-23 Huan Zhou , Vladimir Marjanovic , Christoph Niethammer , José Gracia

The Message Passing Interface specification (MPI) defines a portable message-passing API used to program parallel computers. MPI programs manifest a number of challenges on what concerns correctness: sent and expected values in…

Programming Languages · Computer Science 2015-08-21 César Santos , Francisco Martins , Vasco Thudichum Vasconcelos

Message Passing Interfaces (MPI) plays an important role in parallel computing. Many parallel applications are implemented as MPI programs. The existing methods of bug detection for MPI programs have the shortage of providing both input and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-16 Xianjin Fu , Zhenbang Chen , Yufeng Zhang , Chun Huang , Wei Dong , Ji Wang

A standard approach to solving optimistic bilevel linear programs (BLPs) is to replace the lower-level problem with its Karush-Kuhn-Tucker (KKT) optimality conditions and reformulate the resulting complementarity constraints using auxiliary…

Optimization and Control · Mathematics 2026-03-19 Sergey S. Ketkov , Oleg A. Prokopyev

The \texttt{MPI\_Allreduce} collective operation is a core kernel of many parallel codebases, particularly for reductions over a single value per process. The commonly used allreduce recursive-doubling algorithm obtains the lower bound…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-23 Amanda Bienz , Luke N. Olson , William D. Gropp

This note describes the development of an exact solver for Minimal Directed Feedback Vertex Set as part of the PACE 2022 competition. The solver is powered largely by aggressively trying to reduce the DFVS problem to a Minimal Cover…

Data Structures and Algorithms · Computer Science 2022-08-03 Alex Meiburg

Compiler optimization techniques are inherently complex, and rigorous testing of compiler optimization implementation is critical. Recent years have witnessed the emergence of testing approaches for uncovering incorrect optimization bugs,…

Software Engineering · Computer Science 2025-04-08 Jingwen Wu , Jiajing Zheng , Zhenyu Yang , Zhongxing Yu

Currently, many verification algorithms are available to improve the reliability of software systems. Selecting the appropriate verification algorithm typically demands domain expertise and non-trivial manpower. An automated algorithm…

Software Engineering · Computer Science 2025-05-26 Jie Su , Liansai Deng , Cheng Wen , Rong Wang , Zhi Ma , Nan Zhang , Cong Tian , Zhenhua Duan , Shengchao Qin

Traditional network interdiction problems focus on removing vertices or edges from a network so as to disconnect or lengthen paths in the network; network diversion problems seek to remove vertices or edges to reroute flow through a…

Optimization and Control · Mathematics 2024-08-21 Alice Paul , Susan Martonosi

Grid environments have recently been developed with low stretch and overheads that increase with the logarithm of the number of nodes in the system. Getting and sending data to/from a large numbers of nodes is gaining importance due to an…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Benoit Hudzia , Serge Petiton

Most automated program verifiers for separation logic use either symbolic execution or verification condition generation to extract proof obligations, which are then handed over to an SMT solver. Existing verification algorithms are…

Programming Languages · Computer Science 2024-05-28 Marco Eilers , Malte Schwerhoff , Peter Müller

We investigate a family of bilevel imaging learning problems where the lower-level instance corresponds to a convex variational model involving first- and second-order nonsmooth sparsity-based regularizers. By using geometric properties of…

Optimization and Control · Mathematics 2023-03-21 Juan Carlos De los Reyes

The problem of MPI programs execution time prediction on a certain set of computer installations is considered. This problem emerges with orchestration and provisioning a virtual infrastructure in a cloud computing environment over a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-31 A. Chupakhin , A. Kolosov , R. Smeliansky , V. Antonenko , G. Ishelev
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