代数拓扑在并发计算中的应用

M. Herlihy, N. Shavit
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引用次数: 0

摘要

所有并行程序都需要一定数量的同步来协调它们的并发性,以获得正确的解决方案。众所周知,同步会给程序带来过多的开销,从而导致性能下降。本章开发了某些同步原语和拓扑之间的连接。这种联系允许用代数和组合拓扑的所有数学工具对并发计算进行理论研究。
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Applications of Algebraic Topology to Concurrent Computation
All parallel programs require some amount of synchronization to coordinate their concurrency to achieve correct solutions. It is commonly known that synchronization can cause poor performance by burdening the program with excessive overhead. This chapter develops a connection between certain synchronization primitives and topology. This connection permits the theoretical study of concurrent computing with all the mathematical tools of algebraic and combinatorial topology.
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