Consensus In Asynchrony
Abstract
We demonstrate sufficiency of events-based synchronisation for solving deterministic fault-tolerant consensus in asynchrony. Main result is an algorithm that terminates with valid vector agreement, hence operates with safety, liveness, and tolerance to one crash. Reconciling with the FLP impossibility result, we identified: i) existence of two types of agreements: data-independent and data-dependent; and ii) dependence of FLP theorem correctness on three implicit assumptions. Consensus impossibility with data-dependent agreement is contingent on two of them. The theorem-stated impossibility with every agreement type hinges entirely on the third. We provide experimental results showing that the third assumption has no evidence in support.
Keywords
Cite
@article{arxiv.2601.16460,
title = {Consensus In Asynchrony},
author = {Ivan Klianev},
journal= {arXiv preprint arXiv:2601.16460},
year = {2026}
}
Comments
This is an Accepted Manuscript of an article published by Taylor & Francis Group in the International Journal of Parallel, Emergent & Distributed Systems on 31/01/2026, available online: http://www.tandfonline.com/10.1080/17445760.2026.2621249