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Related papers: Self-Stabilizing Paxos

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Consider a fully-connected synchronous distributed system consisting of $n$ nodes, where up to $f$ nodes may be faulty and every node starts in an arbitrary initial state. In the synchronous $C$-counting problem, all nodes need to…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-18 Christoph Lenzen , Joel Rybicki

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

This paper studies the lattice agreement problem in asynchronous systems and explores its application to building linearizable replicated state machines (RSM). First, we propose an algorithm to solve the lattice agreement problem in $O(\log…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-16 Xiong Zheng , Vijay K. Garg , John Kaippallimalil

A novel way of characterizing the process of reaching consensus for a social system is given. The foundation of the characterization is based on the theorem which states that the sufficient and necessary condition for a system to reach the…

Physics and Society · Physics 2011-06-30 Jinn-Wen Wu , Yu-Pin Luo , Ming-Chang Huang

Remote entanglement between widely separated qubits is a fundamental quantum phenomenon and a critical resource for quantum information applications. Generating entanglement between independent qubits separated by arbitrary, potentially…

In this paper, we study asynchronous consensus problems of continuous-time multi-agent systems with discontinuous information transmission. The proposed consensus control strategy is implemented only based on the state information at some…

Dynamical Systems · Mathematics 2007-05-23 Feng Xiao , Long Wang

This paper describes an implementation of the well-known consensus protocol, Paxos, in the P4 programming language. P4 is a language for programming the behavior of network forwarding devices (i.e., the network data plane). Moving consensus…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-17 Huynh Tu Dang , Marco Canini , Fernando Pedone , Robert Soulé

Self-stabilizing protocols enable distributed systems to recover correct behavior starting from any arbitrary configuration. In particular, when processors communicate by message passing, fake messages may be placed in communication links…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-14 Lélia Blin , Anaïs Durand , Sébastien Tixeuil

In this paper, the communication effort required in a multi-agent system (MAS) is minimized via an explicit optimization formulation. The paper considers a MAS of single-integrator agents with bounded inputs and a time-invariant…

Systems and Control · Electrical Eng. & Systems 2023-05-05 Vishal Sawant , Debraj Chakraborty , Debasattam Pal

Self-stabilization ensures that, after any transient fault, the system recovers in a finite time and eventually exhibits. Speculation consists in guaranteeing that the system satisfies its requirements for any execution but exhibits…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-12 Swan Dubois , Rachid Guerraoui

The paper presents three self-stabilizing protocols for basic fair and reliable link communication primitives. We assume a link-register communication model under read/write atomicity, where every process can read from but cannot write into…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-12 Colette Johnen , Ivan Lavallee , Christian Lavault

Many recent works on stabilization of nonlinear systems target the case of locally stabilizing an unstable steady state solutions against small perturbation. In this work we explicitly address the goal of driving a system into a…

Dynamical Systems · Mathematics 2020-03-11 Peter Benner , Jan Heiland

The question of biological stability (permanence) of a replicator reaction-diffusion system is considered. Sufficient conditions of biological stability are found. It is proved that there are situations when biologically unstable…

Populations and Evolution · Quantitative Biology 2014-06-24 Alexander S. Bratus , Artem S. Novozhilov , Vladimir P. Posvyanskii

A distributed algorithm is self-stabilizing if after faults and attacks hit the system and place it in some arbitrary global state, the system recovers from this catastrophic situation without external intervention in finite time. In this…

Data Structures and Algorithms · Computer Science 2009-04-20 Toshimitsu Masuzawa , Sébastien Tixeuil

Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under…

Optimization and Control · Mathematics 2008-01-22 S. Emre Tuna

In earlier work, the Abstract State Machine Thesis -- that arbitrary algorithms are behaviorally equivalent to abstract state machines -- was established for several classes of algorithms, including ordinary, interactive, small-step…

Logic in Computer Science · Computer Science 2015-07-01 Andreas Blass , Yuri Gurevich , Dean Rosenzweig , Benjamin Rossman

In this paper, we present the first snap-stabilizing message forwarding protocol that uses a number of buffers per node being inde- pendent of any global parameter, that is 4 buffers per link. The protocol works on a linear chain of nodes,…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-18 Anissa Lamani , Alain Cournier , Swan Dubois , Franck Petit , Vincent Villain

Distributed systems have become increasingly prevalent in the software industry. Due to their intrinsic complexity, much research has focused on the verification of their behaviour. An active research line is around behaviour models that…

Programming Languages · Computer Science 2026-04-09 Francisco Parrinha , João Mota , António Ravara

We study feedback stabilization of continuous-time linear systems under finite data-rate constraints in the presence of unknown disturbances. A communication and control strategy based on sampled and quantized state measurements is…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Mahmoud Zamani , Guosong Yang

We study large-scale distributed cooperative systems that use optimistic replication. We represent a system as a graph of actions (operations) connected by edges that reify semantic constraints between actions. Constraint types include…

Databases · Computer Science 2007-10-08 Pierre Sutra , Marc Shapiro , João Pedro Barreto