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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

We address the problem of verifying message passing programs, defined as a set of parallel processes communicating through unbounded FIFO buffers. We introduce a bounded analysis that explores a special type of computations, called…

Programming Languages · Computer Science 2018-04-20 Ahmed Bouajjani , Constantin Enea , Kailiang Ji , Shaz Qadeer

Byzantine Agreement is a key component in many distributed systems. While Dolev and Reischuk have proven a long time ago that quadratic communication complexity is necessary for worst-case runs, the question of what can be done in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-12 Shir Cohen , Idit Keidar , Alexander Spiegelman

While the very first consensus protocols for the synchronous model were designed to match the worst-case lower bound, deciding in exactly t+1 rounds in all runs, it was soon realized that they could be strictly improved upon by early…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-28 Armando Castañeda , Yannai A. Gonczarowski , Yoram Moses

In this paper, we present an efficient deterministic algorithm for consensus in presence of Byzantine failures. Our algorithm achieves consensus on an $L$-bit value with communication complexity $O(nL + n^4 L^{0.5} + n^6)$ bits, in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-19 Guanfeng Liang , Nitin Vaidya

A shared read/write register emulation provides the illusion of shared-memory on top of message-passing models. The main hurdle with such emulations is dealing with server faults in the system. Several crash-tolerant register emulations in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-16 Saptaparni Kumar , Jennifer L. Welch

Byzantine agreement (BA) is a distributed consensus problem where $n$ processors want to reach agreement on an $\ell$-bit message or value, but up to $t$ of the processors are dishonest or faulty. The challenge of this BA problem lies in…

Information Theory · Computer Science 2021-01-01 Jinyuan Chen

Byzantine agreement, arguably the most fundamental problem in distributed computing, operates among n processes, out of which t < n can exhibit arbitrary failures. The problem states that all correct (non-faulty) processes must eventually…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-16 Pierre Civit , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Anton Paramonov , Manuel Vidigueira

This paper describes a simple and efficient asynchronous Binary Byzantine faulty tolerant consensus algorithm. In the algorithm, non-faulty nodes perform an initial broadcast followed by a executing a series of rounds each consisting of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-12 Tyler Crain

Causal ordering in an asynchronous system has many applications in distributed computing, including in replicated databases and real-time collaborative software. Previous work in the area focused on ordering point-to-point messages in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-01 Anshuman Misra , Ajay Kshemkalyani

This paper studies the message complexity of authenticated Byzantine agreement (BA) in synchronous, fully-connected distributed networks under an honest majority. We focus on the so-called {\em implicit} Byzantine agreement problem where…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-13 Manish Kumar , Anisur Rahaman Molla

We investigate the minimal number of failures that can partition a system where processes communicate both through shared memory and by message passing. We prove that this number precisely captures the resilience that can be achieved by…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-22 Hagit Attiya , Sweta Kumari , Noa Schiller

We describe an algorithm for Byzantine agreement that is scalable in the sense that each processor sends only $\tilde{O}(\sqrt{n})$ bits, where $n$ is the total number of processors. Our algorithm succeeds with high probability against an…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-02-25 Valerie King , Jared Saia

Byzantine agreement allows n processes to decide on a common value, in spite of arbitrary failures. The seminal Dolev-Reischuk bound states that any deterministic solution to Byzantine agreement exchanges Omega(n^2) bits. In synchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-25 Pierre Civit , Muhammad Ayaz Dzulfikar , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira , Igor Zablotchi

The set consensus problem has played an important role in the study of distributed systems for over two decades. Indeed, the search for lower bounds and impossibility results for this problem spawned the topological approach to distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-25 Armando Castañeda , Yannai A. Gonczarowski , Yoram Moses

This paper introduces a deterministic Byzantine consensus algorithm that relies on a new weak coordinator. As opposed to previous algorithms that cannot terminate in the presence of a faulty or slow coordinator, our algorithm can terminate…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Tyler Crain , Vincent Gramoli , Mikel Larrea , Michel Raynal

Exact Byzantine consensus problem requires that non-faulty processes reach agreement on a decision (or output) that is in the convex hull of the inputs at the non-faulty processes. It is well-known that exact consensus is impossible in an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-01 Zhuolun Xiang , Nitin H. Vaidya

This paper presents a simple and efficient reliable broadcast algorithm for asynchronous message-passing systems made up of $n$ processes, among which up to $t<n/5$ may behave arbitrarily (Byzantine processes). This algorithm requires two…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-29 Damien Imbs , Michel Raynal

Consensus is one of the most fundamental distributed computing problems. In particular, it serves as a building block in many replication based fault-tolerant systems and in particular in multiple recent blockchain solutions. Depending on…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-08 Yehonatan Buchnik , Roy Friedman

In this paper, we challenge the conventional approach of state machine replication systems to design deterministic agreement protocols in the eventually synchronous communication model. We first prove that no such protocol can guarantee…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-06 Alexander Spiegelman