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arXiv 1610.01423cs.DC
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作为仿射任务的读写记忆和k集一致性

Read-Write Memory and k-Set Consensus as an Affine Task

Eli Gafni, Yuan He, Petr Kuznetsov, Thibault Rieutord

摘要:

无等待读写存储器模型的特征在于迭代的\emph{Immediate Snapshot}(IS)任务。IS任务是\emph{affine} -它可以被定义为标准色细分的单形(子)集。已知\emph{Weak Symmetry Breaking}(WSB)的任务不能被表示为仿射任务。在本文中,我们强调的现象,一个“自然”的模型,可以捕获的迭代仿射任务,因此,由一个子集运行的迭代立即快照模型。我们表明,读写内存模型,其中,另外,$k$ -集共识对象可以使用的是,不像WSB,“自然”提出相应的简单的仿射任务捕获的一个子集的$2$轮IS运行。我们的研究结果意味着第一个组合特征的模型配备了抽象的读写内存,适用于通用的任务。

英文摘要:

The wait-free read-write memory model has been characterized as an iterated \emph{Immediate Snapshot} (IS) task. The IS task is \emph{affine}---it can be defined as a (sub)set of simplices of the standard chromatic subdivision. It is known that the task of \emph{Weak Symmetry Breaking} (WSB) cannot be represented as an affine task. In this paper, we highlight the phenomenon of a "natural" model that can be captured by an iterated affine task and, thus, by a subset of runs of the iterated immediate snapshot model. We show that the read-write memory model in which, additionally, $k$-set-consensus objects can be used is, unlike WSB, "natural" by presenting the corresponding simple affine task captured by a subset of $2$-round IS runs. Our results imply the first combinatorial characterization of models equipped with abstractions other than read-write memory that applies to generic tasks.

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