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The CAP theorem says that no blockchain can be live under dynamic participation and safe under temporary network partitions. To resolve this availability-finality dilemma, we formulate a new class of flexible consensus protocols,…

Cryptography and Security · Computer Science 2021-02-05 Joachim Neu , Ertem Nusret Tas , David Tse

We present "Gasper," a proof-of-stake-based consensus protocol, which is an idealized version of the proposed Ethereum 2.0 beacon chain. The protocol combines Casper FFG, a finality tool, with LMD GHOST, a fork-choice rule. We prove safety,…

Cryptography and Security · Computer Science 2020-05-13 Vitalik Buterin , Diego Hernandez , Thor Kamphefner , Khiem Pham , Zhi Qiao , Danny Ryan , Juhyeok Sin , Ying Wang , Yan X Zhang

We present an overview of hybrid Casper the Friendly Finality Gadget (FFG): a Proof-of-Stake checkpointing protocol overlaid onto Ethereum's Proof-of-Work blockchain. We describe its core functionalities and reward scheme, and explore its…

Cryptography and Security · Computer Science 2021-07-20 Vitalik Buterin , Daniel Reijsbergen , Stefanos Leonardos , Georgios Piliouras

Gasper, the consensus protocol currently employed by Ethereum, typically requires 64 to 95 slots -- the units of time during which a new chain extending the previous one by one block is proposed and voted -- to finalize. This means that…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-04 Francesco D'Amato , Roberto Saltini , Thanh-Hai Tran , Luca Zanolini

Ethereum's current Gasper consensus mechanism, which combines the Latest Message Driven Greediest Heaviest Observed SubTree (LMD-GHOST) fork choice rule with the probabilistic Casper the Friendly Finality Gadget (FFG) finality overlay,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-17 Lincoln Murr

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

We introduce Casper, a proof of stake-based finality system which overlays an existing proof of work blockchain. Casper is a partial consensus mechanism combining proof of stake algorithm research and Byzantine fault tolerant consensus…

Cryptography and Security · Computer Science 2019-01-23 Vitalik Buterin , Virgil Griffith

A Confirmation Rule, within blockchain networks, refers to an algorithm implemented by network nodes that determines (either probabilistically or deterministically) the permanence of certain blocks on the blockchain. An example of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-30 Aditya Asgaonkar , Francesco D'Amato , Roberto Saltini , Luca Zanolini , Chenyi Zhang

In this work, we present IBFT 2.0 (Istanbul BFT 2.0), which is a Proof-of-Authority (PoA) Byzantine-fault-tolerant (BFT) blockchain consensus protocols that (i) ensures immediate finality, (ii) is robust in an eventually synchronous network…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-24 Roberto Saltini , David Hyland-Wood

Classic BFT consensus protocols guarantee safety and liveness for all clients if fewer than one-third of replicas are faulty. However, in applications such as high-value payments, some clients may want to prioritize safety over liveness.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-05 Joachim Neu , Srivatsan Sridhar , Lei Yang , David Tse

In this paper we analyse the correctness of Istanbul BFT (IBFT), which is a Byzantine-fault-tolerant (BFT) proof-of-authority (PoA) blockchain consensus protocol that ensures immediate finality. We show that the IBFT protocol does not…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-28 Roberto Saltini , David Hyland-Wood

Safety and liveness are the two classical security properties of consensus protocols. Recent works have strengthened safety with accountability: should any safety violation occur, a sizable fraction of adversary nodes can be proven to be…

Cryptography and Security · Computer Science 2025-09-12 Andrew Lewis-Pye , Joachim Neu , Tim Roughgarden , Luca Zanolini

There has been recently a lot of progress in designing efficient partially synchronous BFT consensus protocols that are meant to serve as core consensus engines for Proof of Stake blockchain systems. While the state-of-the-art solutions…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-19 Daniel Kane , Andreas Fackler , Adam Gągol , Damian Straszak

Ethereum has undergone a recent change called \textit{the Merge}, which made Ethereum a Proof-of-Stake blockchain, shifting closer to BFT consensus. Ethereum, which wished to keep the best of the two protocol designs (BFT and…

Cryptography and Security · Computer Science 2023-09-15 Ulysse Pavloff , Yackolley Amoussou-Guenou , Sara Tucci-Piergiovanni

Longest-chain blockchain protocols, such as Bitcoin, guarantee liveness even when the number of actively participating users is variable, i.e., they are adaptive. However, they are not safe under network partitions, i.e., they do not…

Cryptography and Security · Computer Science 2021-04-05 Suryanarayana Sankagiri , Xuechao Wang , Sreeram Kannan , Pramod Viswanath

Byzantine consensus protocols aim at maintaining safety guarantees under any network synchrony model and at providing liveness in partially or fully synchronous networks. However, several Byzantine consensus protocols have been shown to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-16 Jérémie Decouchant , Burcu Kulahcioglu Ozkan , Yanzhuo Zhou

The availability-finality dilemma says that blockchain protocols cannot be both available under dynamic participation and safe under network partition. Snap-and-chat protocols have recently been proposed as a resolution to this dilemma. A…

Cryptography and Security · Computer Science 2020-10-21 Joachim Neu , Ertem Nusret Tas , David Tse

While Ethereum has successfully achieved dynamic availability together with safety, a fundamental delay remains between transaction execution and immutable finality. In Ethereum's current Gasper protocol, this latency is on the order of 15…

Cryptography and Security · Computer Science 2026-01-14 Yash Saraswat , Abhimanyu Nag

For applications of Byzantine fault tolerant (BFT) consensus protocols where the participants are economic agents, recent works highlighted the importance of accountability: the ability to identify participants who provably violate the…

Cryptography and Security · Computer Science 2022-05-19 Joachim Neu , Ertem Nusret Tas , David Tse

Currently, Gasper, the implemented consensus protocol of Ethereum, takes between 64 and 95 slots to finalize blocks. Because of that, a significant portion of the chain is susceptible to reorgs. The possibility to capture MEV (Maximum…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-16 Francesco D'Amato , Luca Zanolini
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