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The solution of large sparse linear systems is often the most time-consuming part of many science and engineering applications. Computational fluid dynamics, circuit simulation, power network analysis, and material science are just a few…

Numerical Analysis · Computer Science 2011-09-20 Murat Manguoglu

The most successful parallel SAT and MaxSAT solvers follow a portfolio approach, where each thread applies a different algorithm (or the same algorithm configured differently) to solve a given problem instance. The main goal of building a…

Logic in Computer Science · Computer Science 2015-05-12 Miguel Neves , Inês Lynce , Vasco Manquinho

We give a first account of our new parallel SAT solver Gimsatul. Its key feature is to share clauses physically in memory instead of copying them, which is the method of other state-of-the-art multi-threaded SAT solvers to exchange clauses…

Logic in Computer Science · Computer Science 2022-08-01 Mathias Fleury , Armin Biere

Distributed shared memory (DSM) allows to implement and deploy applications onto distributed architectures using the convenient shared memory programming model in which a set of tasks are able to allocate and access data despite their…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-04 Loïc Cudennec

A simple yet successful approach to parallel satisfiability (SAT) solving is to run several different (a portfolio of) SAT solvers on the input problem at the same time until one solver finds a solution. The SAT solvers in the portfolio can…

Logic in Computer Science · Computer Science 2015-08-04 Tomas Balyo , Peter Sanders , Carsten Sinz

Boolean satisfiability (SAT) solving is a fundamental problem in computer science. Finding efficient algorithms for SAT solving has broad implications in many areas of computer science and beyond. Quantum SAT solvers have been proposed in…

Quantum Physics · Physics 2023-08-08 Shang-Wei Lin , Tzu-Fan Wang , Yean-Ru Chen , Zhe Hou , David Sanán , Yon Shin Teo

The ability to express a program as a hierarchical composition of parts is an essential tool in managing the complexity of software and a key abstraction this provides is to separate the representation of data from the computation. Many…

Programming Languages · Computer Science 2012-10-04 James Hanlon , Simon J. Hollis , David May

This report describes an extension of the distributed job scheduling and SAT solving platform Mallob by incremental SAT solving, embedded in a case study on SAT-based hierarchical planning. We introduce a low-latency interface for…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 Dominik Schreiber

Parallel SAT solvers are becoming mainstream. Their performance has made them win the past two SAT competitions consecutively and are in the limelight of research and industry. The problem is that it is not known exactly what is needed to…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-13 Roberto Asín , Juan Olate , Leo Ferres

Constraint problems can be trivially solved in parallel by exploring different branches of the search tree concurrently. Previous approaches have focused on implementing this functionality in the solver, more or less transparently to the…

Artificial Intelligence · Computer Science 2010-08-26 Lars Kotthoff , Neil C. A. Moore

We present a parallel hierarchical solver for general sparse linear systems on distributed-memory machines. For large-scale problems, this fully algebraic algorithm is faster and more memory-efficient than sparse direct solvers because it…

Numerical Analysis · Mathematics 2017-12-21 Chao Chen , Hadi Pouransari , Sivasankaran Rajamanickam , Erik G. Boman , Eric Darve

Discrete ordinates $S_N$ transport solvers on unstructured meshes pose a challenge to scale due to complex data dependencies, memory access patterns and a high-dimensional domain. In this paper, we review the performance bottlenecks within…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-14 Alex Elwood , Tom Deakin , Justin Lovegrove , Chris Nelson

We describe a SAT solver using both the GPU (CUDA) and the CPU with a new clause exchange strategy. The CPU runs a classic multithreaded CDCL SAT solver. EachCPU thread exports all the clauses it learns to the GPU. The GPU makes a heavy…

Artificial Intelligence · Computer Science 2020-12-08 Nicolas Prevot

Performance modeling of parallel applications on multicore processors remains a challenge in computational co-design due to multicore processors' complex design. Multicores include complex private and shared memory hierarchies. We present a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-26 Atanu Barai , Gopinath Chennupati , Nandakishore Santhi , Abdel-Hameed Badawy , Yehia Arafa , Stephan Eidenbenz

A scalable algorithm for solving compact banded linear systems on distributed memory architectures is presented. The proposed method factorizes the original system into two levels of memory hierarchies, and solves it using parallel cyclic…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-05 Hang Song , Kristen V. Matsuno , Jacob R. West , Akshay Subramaniam , Aditya S. Ghate , Sanjiva K. Lele

Current high-performance computer systems used for scientific computing typically combine shared memory computational nodes in a distributed memory environment. Extracting high performance from these complex systems requires tailored…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-14 Afshin Zafari , Elisabeth Larsson , Martin Tillenius

Over the last few decades, many distinct lines of research aimed at automating mathematics have been developed, including computer algebra systems (CASs) for mathematical modelling, automated theorem provers for first-order logic, SAT/SMT…

Logic in Computer Science · Computer Science 2019-09-18 Curtis Bright , Ilias Kotsireas , Vijay Ganesh

The development of the Parallel ROOT Facility, PROOF, enables a physicist to analyze and understand much larger data sets on a shorter time scale. It makes use of the inherent parallelism in event data and implements an architecture that…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Maarten Ballintijn , Rene Brun , Fons Rademakers , Gunther Roland

We provide algorithms for efficiently addressing quantum memory in parallel. These imply that the standard circuit model can be simulated with low overhead by the more realistic model of a distributed quantum computer. As a result, the…

This paper considers parallel Gr\"obner bases algorithms on distributed memory parallel computers with multi-core compute nodes. We summarize three different Gr\"obner bases implementations: shared memory parallel, pure distributed memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-08-03 Heinz Kredel
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