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Consensus protocols have traditionally been studied in a setting where all participants are known to each other from the start of the protocol execution. In the parlance of the 'blockchain' literature, this is referred to as the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-25 Andrew Lewis-Pye , Tim Roughgarden

A survey is given of approaches to the problem of distributed consensus, focusing particularly on methods based on cellular automata and related systems. A variety of new results are given, as well as a history of the field and an extensive…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-28 Stephen Wolfram

Blockchain-based consensus protocols present the opportunity to develop new protocols, due to their novel requirements of open participation and explicit incentivization of participants. To address the first requirement, it is necessary to…

Cryptography and Security · Computer Science 2018-08-09 Sarah Azouvi , Patrick McCorry , Sarah Meiklejohn

It is a critical matter for a blockchain system whether a Byzantine fault tolerance (BFT) can be guaranteed during a consensus process. Can connected vehicles (CVs) achieve the BFT consensus when the vehicles keep mobile? This paper seeks…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-12 Seungmo Kim , Byung-Jun Kim

A critical component of any blockchain or distributed ledger technology (DLT) platform is the consensus algorithm. Blockchain consensus algorithms are the primary vehicle for the nodes within a blockchain network to reach an agreement. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-20 Shiv Sondhi , Sherif Saad , Kevin Shi , Mohammad Mamun , Issa Traore

Blockchain technology has advanced rapidly in recent years and is now widely used in a variety of fields. Blockchain appears to be one of the best solutions for managing massive heterogeneous devices while achieving advanced data security…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-05 Xu Yuan , Fang Luo , Muhammad Zeeshan Haider , Zhikui Chen , Yucheng Li

Coin selection refers to the problem of choosing a set of tokens to fund a transaction in token-based payment systems such as, e.g., cryptocurrencies or central bank digital currencies (CBDCs). In this paper, we propose the Boltzmann Draw…

Cryptography and Security · Computer Science 2026-02-20 Jan Lennart Bönsel , Michael Maurer , Silvio Petriconi , Andrea Tundis , Marc Winstel

Byzantine Fault Tolerant (BFT) consensus forms the foundation of many modern blockchains striving for both high throughput and low latency. A growing bottleneck is transaction execution and validation on the critical path of consensus,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-25 Ignacio Amores-Sesar , Mirza Ahad Baig , Seth Gilbert , Ray Neiheiser , Michelle X. Yeo

Blockchain based cryptocurrencies are usually unmanaged, distributed, consensus-based systems in which no single entity has control. Managed cryptocurrencies can be implemented using private blockchains but are fundamentally different as…

Cryptography and Security · Computer Science 2019-06-27 Peter Mell

Consensus plays a crucial role in distributed ledger systems, impacting both scalability and decentralization. Many blockchain systems use a weighted lottery based on a scarce resource such as a stake, storage, memory, or computing power to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Grigorii Melnikov , Sebastian Müller , Nikita Polyanskii , Yury Yanovich

Threshold guards are a basic primitive of many fault-tolerant algorithms that solve classical problems in distributed computing, such as reliable broadcast, two-phase commit, and consensus. Moreover, threshold guards can be found in recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Igor Konnov , Marijana Lazić , Ilina Stoilkovska , Josef Widder

Blockchain protocols typically aspire to run in the permissionless setting, in which nodes are owned and operated by a large number of diverse and unknown entities, with each node free to start or stop running the protocol at any time. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-05 Andrew Lewis-Pye , Tim Roughgarden

This work interprets and generalizes consensus-type algorithms as switching dynamics leading to symmetrization of some vector variables with respect to the actions of a finite group. We show how the symmetrization framework we develop…

Quantum Physics · Physics 2015-06-17 Luca Mazzarella , Francesco Ticozzi , Alain Sarlette

Blockchain has recently attracted the attention of the industry due, in part, to its ability to automate asset transfers. It requires distributed participants to reach a consensus on a block despite the presence of malicious (a.k.a.…

Cryptography and Security · Computer Science 2022-06-10 Nathalie Bertrand , Vincent Gramoli , Igor Konnov , Marijana Lazić , Pierre Tholoniat , Josef Widder

Blockchain consensus is a state whereby each node in a network agrees on the current state of the blockchain. Existing protocols achieve consensus via a contest or voting procedure to select one node as a dictator to propose new blocks.…

Theoretical Economics · Economics 2022-06-22 Joshua S. Gans , Richard Holden

Reaching consensus -- a macroscopic state where the system constituents display the same microscopic state -- is a necessity in multiple complex socio-technical and techno-economic systems: their correct functioning ultimately depends on…

Social and Information Networks · Computer Science 2022-03-22 Edoardo Fadda , Junda He , Claudio Tessone , Paolo Barucca

The security of many Proof-of-Stake (PoS) payment systems relies on quorum-based State Machine Replication (SMR) protocols. While classical analyses assume purely Byzantine faults, real-world systems must tolerate both arbitrary failures…

Cryptography and Security · Computer Science 2026-05-19 Zeta Avarikioti , Eleftherios Kokoris Kogias , Ray Neiheiser , Christos Stefo

Blockchain consensus mechanisms have relied on algorithms such as Proof-of-Work (PoW) and Proof-of-Stake (PoS) to ensure network functionality and integrity. However, these approaches struggle with adaptability for decision-making where the…

Multiagent Systems · Computer Science 2026-02-10 Apurba Pokharel , Ram Dantu , Shakila Zaman , Vinh Quach , Sirisha Talapuru

Quorum systems are a key abstraction in distributed fault-tolerant computing for capturing trust assumptions. They can be found at the core of many algorithms for implementing reliable broadcasts, shared memory, consensus and other…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-03 Orestis Alpos , Christian Cachin , Björn Tackmann , Luca Zanolini

Proof-of-work allows Bitcoin to boast security amidst arbitrary fluctuations in participation of miners throughout time, so long as, at any point in time, a majority of hash power is honest. In recent years, however, the pendulum has…

Cryptography and Security · Computer Science 2025-08-12 Yuval Efron , Joachim Neu , Toniann Pitassi