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Distributed fault-tolerance can mask the effect of a limited number of permanent faults, while self-stabilization provides forward recovery after an arbitrary number of transient fault hit the system. FTSS protocols combine the best of both…

Data Structures and Algorithms · Computer Science 2011-02-11 Swan Dubois , Maria Potop-Butucaru , Sébastien Tixeuil

We propose a general framework for solving the group synchronization problem, where we focus on the setting of adversarial or uniform corruption and sufficiently small noise. Specifically, we apply a novel message passing procedure that…

Machine Learning · Statistics 2021-07-29 Gilad Lerman , Yunpeng Shi

It has been known since the early 1980s that Byzantine Agreement in the full information, asynchronous model is impossible to solve deterministically against even one crash fault [FLP85], but that it can be solved with probability 1…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-01 Shang-En Huang , Seth Pettie , Leqi Zhu

We introduce a methodology for generating random multi-qubit stabilizer codes based on solving a constraint satisfaction problem (CSP) on random bipartite graphs. This framework allows us to enforce stabilizer commutation, $X/Z$ balancing,…

Quantum Physics · Physics 2023-04-26 Maxime Tremblay , Guillaume Duclos-Cianci , Stefanos Kourtis

We propose a general framework to build certified proofs of distributed self-stabilizing algorithms with the proof assistant Coq. We first define in Coq the locally shared memory model with composite atomicity, the most commonly used model…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Karine Altisen , Pierre Corbineau , Stephane Devismes

Gathering is a fundamental coordination problem in swarm robotics, where the objective is to bring robots together at a point not known to them at the beginning. While most research focuses on continuous domains, some studies also examine…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-17 Abhinav Chakraborty , Pritam Goswami , Satakshi Ghosh

Firing Squad Synchronisation on Cellular Automata is the dynamical synchronisation of finitely many cells without any prior knowledge of their range. This can be conceived as a signal with an infinite speed. Most of the proposed…

Discrete Mathematics · Computer Science 2021-06-22 Jérôme Durand-Lose , Aurélien Emmanuel

Self-stabilization is a versatile approach to fault-tolerance since it permits a distributed system to recover from any transient fault that arbitrarily corrupts the contents of all memories in the system. Byzantine tolerance is an…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-03-21 Swan Dubois , Toshimitsu Masuzawa , Sébastien Tixeuil

We present a solution to consensus on a torus with Byzantine faults. Any solution to classic consensus that is tolerant to $f$ Byzantine faults requires $2f+1$ node-disjoint paths. Due to limited torus connectivity, this bound necessitates…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-10 Joseph Oglio , Kendric Hood , Gokarna Sharma , Mikhail Nesterenko

In this paper, we tackle the open problem of snap-stabilization in message-passing systems. Snap-stabilization is a nice approach to design protocols that withstand transient faults. Compared to the well-known self-stabilizing approach,…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-09-29 Sylvie Delaët , Stéphane Devismes , Mikhail Nesterenko , Sébastien Tixeuil

This paper proposes the first implementation of a self-stabilizing regular register emulated by $n$ servers that is tolerant to both mobile Byzantine agents, and \emph{transient failures} in a round-free synchronous model. Differently from…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-24 Silvia Bonomi , Antonella Del Pozzo , Maria Potop-Butucaru , Sébastien Tixeuil

In this paper we propose Aleph, a leaderless, fully asynchronous, Byzantine fault tolerant consensus protocol for ordering messages exchanged among processes. It is based on a distributed construction of a partially ordered set and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-30 Adam Gągol , Michał Świętek

A snapshot object simulates the behavior of an array of single-writer/multi-reader shared registers that can be read atomically. Delporte-Gallet et al. proposed two fault-tolerant algorithms for snapshot objects in asynchronous crash-prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-03 Chryssis Georgiou , Oskar Lundström , Elad Michael Schiller

Robust control of complex engineered and biological systems hinges on the integration of feedforward and feedback mechanisms. This is exemplified in neural motor control, where feedforward muscle co-contraction complements sensory-driven…

Optimization and Control · Mathematics 2026-03-06 Bastien Berret , Frédéric Jean

Blockchain technology offers a decentralized and secure method for storing and authenticating data, rendering it well-suited for various applications such as digital currencies, supply chain management, and voting systems. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-25 Mohammad R. Shakournia , Pooya Jamshidi , Hamid Reza Faragardi , Nasser Yazdani

Motivated, in part, by the rise of permissionless systems such as Bitcoin where arbitrary nodes (whose identities are not known apriori) can join and leave at will, we extend established research in scalable Byzantine agreement to a more…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-26 John Augustine , Valerie King , Anisur R. Molla , Gopal Pandurangan , Jared Saia

Given a finite set of local constraints, we seek a cellular automaton (i.e., a local and uniform algorithm) that self-stabilises on the configurations that satisfy these constraints. More precisely, starting from a finite perturbation of a…

Cellular Automata and Lattice Gases · Physics 2023-06-22 Nazim Fatès , Irène Marcovici , Siamak Taati

This paper presents IBFT, a simple and elegant Byzantine fault-tolerant consensus algorithm that is used to implement state machine replication in the \emph{Quorum} blockchain. IBFT assumes a partially synchronous communication model, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-20 Henrique Moniz

Safra's distributed termination detection algorithm employs a logical token ring structure within a distributed network; only passive nodes forward the token, and a counter in the token keeps track of the number of sent minus the number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-03 Wan Fokkink , Georgios Karlos , Andy Tatman

Traditional resilient systems operate on fully-replicated fault-tolerant clusters, which limits their scalability and performance. One way to make the step towards resilient high-performance systems that can deal with huge workloads, is by…

Databases · Computer Science 2021-08-20 Jelle Hellings , Mohammad Sadoghi