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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

Herman's self-stabilisation algorithm, introduced 25 years ago, is a well-studied synchronous randomised protocol for enabling a ring of $N$ processes collectively holding any odd number of tokens to reach a stable state in which a single…

Data Structures and Algorithms · Computer Science 2017-10-12 Maria Bruna , Radu Grigore , Stefan Kiefer , Joël Ouaknine , James Worrell

Self-stabilization is a general paradigm to provide forward recovery capabilities to distributed systems and networks. Intuitively, a protocol is self-stabilizing if it is able to recover without external intervention from any catastrophic…

Data Structures and Algorithms · Computer Science 2008-11-25 Stéphane Devismes , Toshimitsu Masuzawa , Sébastien Tixeuil

In this paper, we introduce an SMT-based method that automatically synthesizes a distributed self-stabilizing protocol from a given high-level specification and network topology. Unlike existing approaches, where synthesis algorithms…

Software Engineering · Computer Science 2023-06-22 Fathiyeh Faghih , Borzoo Bonakdarpour , Sebastien Tixeuil , Sandeep Kulkarni

The Herman Protocol Conjecture states that the expected time $\mathbb{E}(\mathbf{T})$ of Herman's self-stabilizing algorithm in a system consisting of $N$ identical processes organized in a ring holding several tokens is at most…

Data Structures and Algorithms · Computer Science 2022-12-01 Endre Csóka , Szabolcs Mészáros , András Pongrácz

Herman's self-stabilisation algorithm allows a ring of $N$ processors having any odd number of tokens to reach a stable state where exactly one token remains. McIver and Morgan conjecture that the expected time taken for stabilisation is…

Data Structures and Algorithms · Computer Science 2020-08-12 John Haslegrave

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

We show that, contrary to common belief, Dijkstra's self-stabilizing mutual exclusion algorithm on a ring [Dij74,Dij82] also stabilizes when the number of states per node is one less than the number of nodes on the ring.

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Jaap-Henk Hoepman

The minimum spanning tree (MST) construction is a classical problem in Distributed Computing for creating a globally minimized structure distributedly. Self-stabilization is versatile technique for forward recovery that permits to handle…

Data Structures and Algorithms · Computer Science 2016-11-25 Lélia Blin , Maria Gradinariu Potop-Butucaru , Stephane Rovedakis , Sébastien Tixeuil

This paper introduces a new framework for analyzing the stability of discrete-time model predictive controllers acting on continuous-time systems. The proposed framework introduces the distinction between discretization time (used to…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Yaashia Gautam , Marco M. Nicotra

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

As the main contribution, this document provides a consistent discretization of a class of fixed-time stable systems, namely predefined-time stable systems. In the unperturbed case, the proposed approach allows obtaining not only a…

Current reconfiguration techniques are based on starting the system in a consistent configuration, in which all participating entities are in their initial state. Starting from that state, the system must preserve consistency as long as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-07 Shlomi Dolev , Chryssis Georgiou , Ioannis Marcoullis , Elad M. Schiller

Virtual synchrony is an important abstraction that is proven to be extremely useful when implemented over asynchronous, typically large, message-passing distributed systems. Fault tolerant design is a key criterion for the success of such…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-26 Shlomi Dolev , Chryssis Georgiou , Ioannis Marcoullis , Elad Michael Schiller

Self-stabilization is a versatile methodology in the design of fault-tolerant distributed algorithms for transient faults. A self-stabilizing system automatically recovers from any kind and any finite number of transient faults. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-07 Hirotsugu Kakugawa , Sayaka Kamei , Masahiro Shibata , Fukuhito Ooshita

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

We provide a queueing-theoretic framework for job replication schemes based on the principle "\emph{replicate a job as soon as the system detects it as a \emph{straggler}}". This is called job \emph{speculation}. Recent works have analyzed…

Performance · Computer Science 2025-02-23 Jonatha Anselmi , Neil Walton

The paper proposes an algorithm for a discretization (sampled-time implementation) of a homogeneous control preserving the finite-time and nearly fixed-time stability property of the original (sampling-free) system. The sampling period is…

Systems and Control · Electrical Eng. & Systems 2022-07-08 Andrey Polyakov , Denis Efimov , Xubin Ping

We propose ProSpeCT, a generic formal processor model providing provably secure speculation for the constant-time policy. For constant-time programs under a non-speculative semantics, ProSpeCT guarantees that speculative and out-of-order…

Cryptography and Security · Computer Science 2023-08-14 Lesly-Ann Daniel , Marton Bognar , Job Noorman , Sébastien Bardin , Tamara Rezk , Frank Piessens

We present a uniform self-stabilizing algorithm, which solves the problem of distributively finding a minimum diameter spanning tree of an arbitrary positively real-weighted graph. Our algorithm consists in two stages of stabilizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-12 Franck Butelle , Christian Lavault , Marc Bui
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