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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

When validating formal models, sizable effort goes into ensuring two types of properties: safety properties (nothing bad happens) and liveness properties (something good occurs eventually. Event-B supports checking safety properties all…

Logic in Computer Science · Computer Science 2025-05-27 Sebastian Stock , Michael Leuschel , Atif Mashkoor

Service replication distributes an application over many processes for tolerating faults, attacks, and misbehavior among a subset of the processes. The established state-machine replication paradigm inherently requires the application to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-20 Christian Cachin , Simon Schubert , Marko Vukolić

Robust aggregation is the core operation in Byzantine-tolerant federated learning. To ensure the quality of aggregation independently of data distribution or attacks, validity conditions are needed. They provide geometric guarantees of…

Machine Learning · Computer Science 2026-05-18 Mélanie Cambus , Darya Melnyk , Tijana Milentijević , Stefan Schmid

The problem of Byzantine consensus has been key to designing secure distributed systems. However, it is particularly difficult, mainly due to the presence of Byzantine processes that act arbitrarily and the unknown message delays in general…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-20 Alejandro Ranchal-Pedrosa , Vincent Gramoli

A self-stabilizing protocol provides by definition a tolerance to transient failures. Recently, a new class of self-stabilizing protocols appears. These protocols provides also a tolerance to a given number of permanent failures. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-04-30 Swan Dubois , Toshimitsu Masuzawa , Sébastien Tixeuil

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

Fault tolerance of a blockchain is often characterized by the fraction $f$ of "adversarial power" that it can tolerate in the system. Despite the fast progress in blockchain designs in recent years, existing blockchain systems can still…

Cryptography and Security · Computer Science 2021-11-17 Ruomu Hou , Haifeng Yu , Prateek Saxena

In this paper we analyze from the game theory point of view Byzantine Fault Tolerant blockchains when processes exhibit rational or Byzantine behavior. Our work is the first to model the Byzantine-consensus based blockchains as a committee…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-22 Yackolley Amoussou-Guenou , Bruno Biais , Maria Potop-Butucaru , Sara Tucci-Piergiovanni

Replicated services are inherently vulnerable to failures and security breaches. In a long-running system, it is, therefore, indispensable to maintain a reconfiguration mechanism that would replace faulty replicas with correct ones. An…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-22 Petr Kuznetsov , Andrei Tonkikh

Sybil attacks, in which a large number of adversary-controlled nodes join a network, are a concern for many peer-to-peer database systems, necessitating expensive countermeasures such as proof-of-work. However, there is a category of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-02 Martin Kleppmann , Heidi Howard

Motivated by proof-of-stake (PoS) blockchains such as Ethereum, two key desiderata have recently been studied for Byzantine-fault tolerant (BFT) state-machine replication (SMR) consensus protocols: Finality means that the protocol retains…

Cryptography and Security · Computer Science 2024-01-22 Joachim Neu , Ertem Nusret Tas , David Tse

Fault tolerance is a key factor of industrial computing systems design. But in practical terms, these systems, like every commercial product, are under great financial constraints and they have to remain in operational state as long as…

Systems and Control · Computer Science 2015-03-31 Andrey A. Shchurov

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 2011-02-11 Swan Dubois , Toshimitsu Masuzawa , Sébastien Tixeuil

Fine-tuning a general-purpose large language model (LLM) for a specific domain or task has become a routine procedure for ordinary users. However, fine-tuning is known to remove the safety alignment features of the model, even when the…

Computation and Language · Computer Science 2025-06-23 Kathleen C. Fraser , Hillary Dawkins , Isar Nejadgholi , Svetlana Kiritchenko

Byzantine general problem is the core problem of the consensus algorithm, and many protocols are proposed recently to improve the decentralization level, the performance and the security of the blockchain. There are two challenging issues…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-09 Tzu-Wei Chao , Hao Chung , Po-Chun Kuo

Byzantine robustness has received significant attention recently given its importance for distributed and federated learning. In spite of this, we identify severe flaws in existing algorithms even when the data across the participants is…

Machine Learning · Computer Science 2021-06-30 Sai Praneeth Karimireddy , Lie He , Martin Jaggi

We present new protocols for Byzantine state machine replication and Byzantine agreement in the synchronous and authenticated setting. The celebrated PBFT state machine replication protocol tolerates $f$ Byzantine faults in an asynchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-14 Ittai Abraham , Srinivas Devadas , Danny Dolev , Kartik Nayak , Ling Ren

Classic Byzantine fault-tolerant consensus protocols forfeit liveness in the face of asynchrony in order to preserve safety, whereas most deployed blockchain protocols forfeit safety in order to remain live. In this work, we achieve the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-06 Alistair Stewart , Eleftherios Kokoris-Kogia

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