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arXiv · 2008.02099

On Decidability of 2-process Affine Models

Petr Kuznetsov·Thibault Rieutord
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Abstract

An affine model of computation is defined as a subset of iterated immediate-snapshot runs, capturing a wide variety of shared-memory systems, such as wait-freedom, t-resilience, k-concurrency, and fair shared-memory adversaries. The question of whether a given task is solvable in a given affine model is, in general, undecidable. In this paper, we focus on affine models defined for a system of two processes. We show that the task computability of 2-process affine models is decidable and presents a complete hierarchy of the five equivalence classes of 2-process affine models.

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Petr Kuznetsov, Thibault Rieutord. 2020-08-05. On Decidability of 2-process Affine Models. https://arxiv.org/abs/2008.02099

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