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Clock synchronization is a very fundamental task in distributed system. It thus makes sense to require an underlying clock synchronization mechanism to be highly fault-tolerant. A self-stabilizing algorithm seeks to attain synchronization…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Ariel Daliot , Danny Dolev , Hanna Parnas

We give fault-tolerant algorithms for establishing synchrony in distributed systems in which each of the $n$ nodes has its own clock. Our algorithms operate in a very strong fault model: we require self-stabilisation, i.e., the initial…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-12 Christoph Lenzen , Joel Rybicki

We revisit the approach to Byzantine fault-tolerant clock synchronization based on approximate agreement introduced by Lynch and Welch. Our contribution is threefold: (1) We provide a slightly refined variant of the algorithm yielding…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-30 Pankaj Khanchandani , Christoph Lenzen

The ``Pulse Synchronization'' problem can be loosely described as targeting to invoke a recurring distributed event as simultaneously as possible at the different nodes and with a frequency that is as regular as possible. This target…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Ariel Daliot , Danny Dolev

Numerous distributed applications, such as cloud computing and distributed ledgers, necessitate the system to invoke asynchronous consensus objects an unbounded number of times, where the completion of one consensus instance is followed by…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-28 Chryssis Georgiou , Michel Raynal , Elad M. Schiller

We explore asynchronous unison in the presence of systemic transient and permanent Byzantine faults in shared memory. We observe that the problem is not solvable under less than strongly fair scheduler or for system topologies with maximum…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-12-02 Swan Dubois , Maria Gradinariu Potop-Butucaru , Mikhail Nesterenko , Sébastien Tixeuil

We define the ``Pulse Synchronization'' problem that requires nodes to achieve tight synchronization of regular pulse events, in the settings of distributed computing systems. Pulse-coupled synchronization is a phenomenon displayed by a…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-03-04 Ariel Daliot , Danny Dolev , Hanna Parnas

Consider a complete communication network of $n$ nodes, where the nodes receive a common clock pulse. We study the synchronous $c$-counting problem: given any starting state and up to $f$ faulty nodes with arbitrary behaviour, the task is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-24 Christoph Lenzen , Joel Rybicki , Jukka Suomela

We analyze the impact of transient and Byzantine faults on the construction of a maximal independent set in a general network. We adapt the self-stabilizing algorithm presented by Turau `for computing such a vertex set. Our algorithm is…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-11 Johanne Cohen , Laurence Pilard , François Pirot , Jonas Sénizergues

We analyze the impact of transient and Byzantine faults on the construction of a maximal independent set in a general network. We adapt the self-stabilizing algorithm presented by Turau \cite{turau2007linear} for computing such a vertex…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-17 Johanne Cohen , Laurence Pilard , Jonas Sénizergues

Byzantine agreement algorithms typically assume implicit initial state consistency and synchronization among the correct nodes and then operate in coordinated rounds of information exchange to reach agreement based on the input values. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-08-04 Ariel Daliot , Danny Dolev

Stabilization is a key dependability property for dealing with unanticipated transient faults, as it guarantees that even in the presence of such faults, the system will recover to states where it satisfies its specification. One of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-12 Vidhya Tekken Valapil , Sandeep S. Kulkarni

Synchronous Counting is the task of reaching agreement on a common round counter in a synchronous system of $n$ nodes with up to $t$ Byzantine faults in a self-stabilizing manner. That is, after transient faults may have arbitrarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Christoph Lenzen , Julian Loss

We present concept and implementation of a self-stabilizing Byzantine fault-tolerant distributed clock generation scheme for multi-synchronous GALS architectures in critical applications. It combines a variant of a recently introduced…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-10 Danny Dolev , Matthias Függer , Christoph Lenzen , Markus Posch , Ulrich Schmid , Andreas Steininger

Consider a complete communication network of $n$ nodes, where the nodes receive a common clock pulse. We study the synchronous $c$-counting problem: given any starting state and up to $f$ faulty nodes with arbitrary behaviour, the task is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-24 Christoph Lenzen , Joel Rybicki , Jukka Suomela

In extending fast digital clock synchronization to the bounded-delay model, the expected constant time Byzantine pulse resynchronization problem is investigated. In this problem, the synchronized state of the system should not only be…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-29 Shaolin Yu , Jihong Zhu , Jiali Yang , Wei Lu

Herman's algorithm is a synchronous randomized protocol for achieving self-stabilization in a token ring consisting of N processes. The interaction of tokens makes the dynamics of the protocol very difficult to analyze. In this paper we…

Data Structures and Algorithms · Computer Science 2011-04-18 Stefan Kiefer , Andrzej Murawski , Joël Ouaknine , James Worrell , Lijun Zhang

For tolerating Byzantine faults of both the terminal and communication components in self-stabilizing clock synchronization, the two-dimensional self-stabilizing Byzantine-fault-tolerant clock synchronization problem is investigated and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-08 Shaolin Yu , Jihong Zhu , Jiali Yang

Self-stabilization is a versatile fault-tolerance approach that characterizes the ability of a system to eventually resume a correct behavior after any finite number of transient faults. In this paper, we propose a self-stabilizing reset…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-23 Stéphane Devismes , Colette Johnen

Consider an asynchronous network in a shared-memory environment consisting of n nodes. Assume that up to f of the nodes might be Byzantine (n > 12f), where the adversary is full-information and dynamic (sometimes called adaptive). In…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-15 Ezra N. Hoch , Michael Ben-Or , Danny Dolev
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