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The ability to perform repeated Byzantine agreement lies at the heart of important applications such as blockchain price oracles or replicated state machines. Any such protocol requires the following properties: (1) \textit{Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-17 Shlomi Dolev , Amit Hendin , Maurice Herlihy , Maria Potop Butucaru , Elad Michael Schiller

One of the most celebrated problems of fault-tolerant distributed computing is the consensus problem. It was shown to abstract a myriad of problems in which processes have to agree on a single value. Consensus applications include…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-13 Romaric Duvignau , Michel Raynal , Elad Michael Schiller

Byzantine State Machine Replication (SMR) is a long studied topic that received increasing attention recently with the advent of blockchains as companies are trying to scale them to hundreds of nodes. Byzantine SMRs try to increase…

Cryptography and Security · Computer Science 2020-06-15 Gauthier Voron , Vincent Gramoli

We study a well-known communication abstraction called Byzantine Reliable Broadcast (BRB). This abstraction is central in the design and implementation of fault-tolerant distributed systems, as many fault-tolerant distributed applications…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-04 Romaric Duvignau , Michel Raynal , Elad Michael Schiller

State Machine Replication (SMR) solutions often divide time into rounds, with a designated leader driving decisions in each round. Progress is guaranteed once all correct processes synchronize to the same round, and the leader of that round…

Cryptography and Security · Computer Science 2020-08-11 Oded Naor , Idit Keidar

We study a multi-agent resilient consensus problem, where some agents are of the Byzantine type and try to prevent the normal ones from reaching consensus. In our setting, normal agents communicate with each other asynchronously over…

Multiagent Systems · Computer Science 2024-03-13 Liwei Yuan , Hideaki Ishii

Multiple-writer/multiple-reader (MWMR) atomic register implementations provide precise consistency guarantees, in the asynchronous, crash-prone, message passing environment. Fast MWMR atomic register implementations were first introduced in…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-10 Chryssis Georgiou , Nicolas C. Nicolaou

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

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

In stable matching, one must find a matching between two sets of agents, commonly men and women, or job applicants and job positions. Each agent has a preference ordering over who they want to be matched with. Moreover a matching is said to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-02 Andrei Constantinescu , Marc Dufay , Diana Ghinea , Roger Wattenhofer

We study the \emph{Byzantine} gathering problem involving $k$ mobile agents with unique identifiers (IDs), $f$ of which are Byzantine. These agents start the execution of a common algorithm from (possibly different) nodes in an $n$-node…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Jion Hirose , Ryota Eguchi , Yuichi Sudo

The cost of Byzantine Fault Tolerant (BFT) storage is the main concern preventing its adoption in practice. This cost stems from the need to maintain at least 3t+1 replicas in different storage servers in the asynchronous model, so that t…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-14 Christian Cachin , Dan Dobre , Marko Vukolic

Traditional Byzantine resilient algorithms use 2f+1 vertex disjoint paths to ensure message delivery in the presence of up to f Byzantine nodes. The question of how these paths are identified is related to the fundamental problem of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-31 Shlomi Dolev , Omri Liba , Elad M. Schiller

Renaming is a fundamental problem in distributed computing, which consists of a set of processes picking distinct names from a given namespace. The paper presents algorithms that solve order-preserving renaming in synchronous message…

Data Structures and Algorithms · Computer Science 2013-03-05 Oksana Denysyuk , Luis Rodrigues

Byzantine fault tolerant (BFT) state machine replication (SMR) is an important building block for constructing permissioned blockchain systems. In contrast to Nakamoto Consensus where any block obtains higher assurance as buried deeper in…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-12 Zhuolun Xiang , Dahlia Malkhi , Kartik Nayak , Ling Ren

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 2010-05-31 Swan Dubois , Toshimitsu Masuzawa , Sébastien Tixeuil

Simulating a shared register can mask the intricacies of designing algorithms for asynchronous message-passing systems subject to crash failures, since it allows them to run algorithms designed for the simpler shared-memory model. Typically…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-11 Hagit Attiya , Hyun Chul Chung , Faith Ellen , Saptaparni Kumar , Jennifer L. Welch

Although many distributed storage protocols have been introduced, a solution that combines the strongest properties in terms of availability, consistency, fault-tolerance, storage complexity and the supported level of concurrency, has been…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-21 Elli Androulaki , Christian Cachin , Dan Dobre , Marko Vukolic

Providing efficient emulations of atomic read/write objects in asynchronous, crash-prone, message-passing systems is an important problem in distributed computing. Communication latency is a factor that typically dominates the performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-17 Chryssis Georgiou , Theophanis Hadjistasi , Nicolas Nicolaou , Alexander A. Schwarzmann

In this paper, we propose a class of robust stochastic subgradient methods for distributed learning from heterogeneous datasets at presence of an unknown number of Byzantine workers. The Byzantine workers, during the learning process, may…

Machine Learning · Computer Science 2019-11-12 Liping Li , Wei Xu , Tianyi Chen , Georgios B. Giannakis , Qing Ling