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arXiv · 1809.11060

On the Hardness of the Strongly Dependent Decision Problem

Martin Biely·Peter Robinson
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Abstract

We present necessary and sufficient conditions for solving the strongly dependent decision (SDD) problem in various distributed systems. Our main contribution is a novel characterization of the SDD problem based on point-set topology. For partially synchronous systems, we show that any algorithm that solves the SDD problem induces a set of executions that is closed with respect to the point-set topology. We also show that the SDD problem is not solvable in the asynchronous system augmented with any arbitrarily strong failure detectors.

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Martin Biely, Peter Robinson. 2018-09-28. On the Hardness of the Strongly Dependent Decision Problem. https://arxiv.org/abs/1809.11060

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