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Distributed algorithms solving agreement problems like consensus or state machine replication are essential components of modern fault-tolerant distributed services. They are also notoriously hard to understand and reason about. Their…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-25 Berk Cirisci , Constantin Enea , Suha Orhun Mutluergil

We present Coalition Logic, a three-valued modal fixed-point logic designed for declaratively specifying and reasoning about distributed algorithms, such as the Paxos consensus algorithm. Our methodology represents a distributed algorithm…

Logic in Computer Science · Computer Science 2025-02-04 Murdoch J. Gabbay , Luca Zanolini

Paxos, the de facto standard approach to solving distributed consensus, operates in two phases, each of which requires an intersecting quorum of nodes. Multi-Paxos reduces this to one phase by electing a leader but this leader is also a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-19 Heidi Howard , Aleksey Charapko , Richard Mortier

Lamport's celebrated Paxos consensus protocol is generally viewed as a complex hard-to-understand algorithm. Notwithstanding its complexity, in this paper, we take a step towards automatically proving the safety of Paxos by taking advantage…

Logic in Computer Science · Computer Science 2021-10-29 Aman Goel , Karem A. Sakallah

The consensus problem is a fundamental problem in distributed systems. It involves a set of actors, or entities, that need to agree on some values or decisions. The Raft algorithm is a solution to the consensus problem that has gained…

Logic in Computer Science · Computer Science 2024-03-29 Parth Bora , Pham Duc Minh , Tim A. C. Willemse

We describe a method to achieve distributed consensus in a Content Centric Network using the PAXOS algorithm. Consensus is necessary, for example, if multiple writers wish to agree on the current version number of a CCNx name or if multiple…

Networking and Internet Architecture · Computer Science 2023-10-27 Marc Mosko

Community detection methods attempt to divide a network into groups of nodes that share similar properties, thus revealing its large-scale structure. A major challenge when employing such methods is that they are often degenerate, typically…

Physics and Society · Physics 2021-04-23 Tiago P. Peixoto

Blockchain is a novel technology that is rising a lot of interest in the industrial and re- search sectors because its properties of decentralisation, immutability and data integrity. Initially, the underlying consensus mechanism has been…

Cryptography and Security · Computer Science 2018-05-10 Stefano De Angelis

The behavior and architecture of large scale discrete state systems found in computer software and hardware can be specified and analyzed using a particular class of primitive recursive functions. This paper begins with an illustration of…

Formal Languages and Automata Theory · Computer Science 2025-11-04 Victor Yodaiken

Consensus protocols for asynchronous networks are usually complex and inefficient, leading practical systems to rely on synchronous protocols. This paper attempts to simplify asynchronous consensus by building atop a novel threshold logical…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-17 Bryan Ford

There is no shortage of state machine replication protocols. From Generalized Paxos to EPaxos, a huge number of replication protocols have been proposed that achieve high throughput and low latency. However, these protocols all have two…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-03 Michael Whittaker , Neil Giridharan , Adriana Szekeres , Joseph M. Hellerstein , Ion Stoica

Byzantine fault-tolerant (BFT) consensus algorithms are at the core of providing safety and liveness guarantees for distributed systems that must operate in the presence of arbitrary failures. Recently, numerous new BFT algorithms have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-06 Gengrui Zhang , Fei Pan , Yunhao Mao , Sofia Tijanic , Michael Dang'ana , Shashank Motepalli , Shiquan Zhang , Hans-Arno Jacobsen

Classical state-machine replication protocols, such as Paxos, rely on a distinguished leader process to order commands. Unfortunately, this approach makes the leader a single point of failure and increases the latency for clients that are…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Fedor Ryabinin , Alexey Gotsman , Pierre Sutra

In this paper we examine the Paxos protocol and demonstrate how the discrete numbering of ballots can be leveraged to weaken the conditions for learning. Specifically, we define the notion of consecutive ballots and use this to define…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-04 Eli Goldweber , Nuda Zhang , Manos Kapritsos

The consensus problem, briefly stated, consists of having processes in an asynchronous distributed system agree on a value. It is widely known that the consensus problem does not have a deterministic solution that ensures both termination…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-15 Gabriel Rocha

Gossip algorithms are widely used to solve the distributed consensus problem, but issues can arise when nodes receive multiple signals either at the same time or before they are able to finish processing their current work load.…

Systems and Control · Computer Science 2013-01-15 Christopher D. Hollander , Annie S. Wu

The Paxos algorithm requires a single correct coordinator process to operate. After a failure, the replacement of the coordinator may lead to a temporary unavailability of the application implemented atop Paxos. So far, this unavailability…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-24 Gustavo M. D. Vieira , Islene C. Garcia , Luiz E. Buzato

The problem of computing a common point that lies in the intersection of a finite number of closed convex sets, each known to one agent in a network, is studied. This issue, known as the distributed convex feasibility problem or the…

Multiagent Systems · Computer Science 2020-08-11 Dimitris Ampeliotis , Kostas Berberidis

Fault-tolerant consensus has been studied extensively in the literature, because it is one of the most important distributed primitives and has wide applications in practice. This paper surveys important results on fault-tolerant consensus…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-30 Lewis Tseng

Consensus is an often occurring problem in concurrent and distributed programming. We present a programming language with simple semantics and build-in support for consensus in the form of communicating transactions. We motivate the need…

Programming Languages · Computer Science 2013-05-08 Carlo Spaccasassi , Vasileios Koutavas