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We demonstrate termination of binary consensus under the model and conditions used by Fischer, Lynch, and Patterson (FLP) to prove impossibility of binary agreement - in complete asynchrony and a possible process crash - in two steps.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-29 Ivan Klianev

The Fischer--Lynch--Paterson (FLP) impossibility result is widely regarded as one of the most fundamental negative results in distributed computing: no deterministic protocol can guarantee consensus in an asynchronous system with even one…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-25 Paul Borrill

The famous Fischer, Lynch, and Paterson impossibility proof shows that it is impossible to solve the consensus problem in a natural model of an asynchronous distributed system if even a single process can fail. Since its publication, two…

Data Structures and Algorithms · Computer Science 2007-05-23 James Aspnes

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

The classic Fischer, Lynch, and Paterson impossibility proof demonstrates that any deterministic protocol for consensus in either a message-passing or shared-memory system must violate at least one of termination, validity, or agreement in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-20 James Aspnes , Shlomi Dolev , Amit Hendin

The FLP result shows that crash-tolerant consensus is impossible to solve in asynchronous systems, and several solutions have been proposed for crash-tolerant consensus under alternative (stronger) models. One popular approach is to augment…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-19 Nancy Lynch , Srikanth Sastry

This work addresses the complexities involved in designing distributed quantum algorithms, highlighting that quantum entanglement does not bypass the Fischer-Lynch-Paterson (FLP) impossibility theorem in asynchronous networks. Although…

Quantum Physics · Physics 2024-11-08 Chandrashekar Radhakrishnan , Yuhang Zheng , Olivier Marin

An elegant strategy for proving impossibility results in distributed computing was introduced in the celebrated FLP consensus impossibility proof. This strategy is local in nature as at each stage, one configuration of a hypothetical…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-29 Hagit Attiya , Armando Castañeda , Sergio Rajsbaum

Modern distributed systems rely on consensus protocols to build a fault-tolerant-core upon which they can build applications. Consensus protocols are correct under a specific failure model, where up to $f$ machines can fail. We argue that…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-13 Reginald Frank , Soujanya Ponnapalli , Octavio Lomeli , Neil Giridharan , Marcos K Aguilera , Natacha Crooks

We demonstrate sufficiency of events-based synchronisation for solving deterministic fault-tolerant consensus in asynchrony. Main result is an algorithm that terminates with valid vector agreement, hence operates with safety, liveness, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-03 Ivan Klianev

Building consensus sequences based on distributed, fault-tolerant consensus, as used for replicated state machines, typically requires a separate distributed state for every new consensus instance. Allocating and maintaining this state…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-02 Jan Skrzypczak , Florian Schintke , Thorsten Schütt

We describe a type system with mixed linear and non-linear recursive types called LNL-FPC (the linear/non-linear fixpoint calculus). The type system supports linear typing, which enhances the safety properties of programs, but also supports…

Programming Languages · Computer Science 2023-06-22 Bert Lindenhovius , Michael Mislove , Vladimir Zamdzhiev

Blockchain is a type of decentralized distributed network which acts as an immutable digital ledger. Despite the absence of any central governing authority to validate the blocks in the ledger, it is considered secure and immutable due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-07 Shashank Joshi

Kahn Process Networks (KPNs) are a deterministic Model of Computation (MoC) for distributed systems. KPNs supports non-blocking writes and blocking reads, with the consequent assumption of unbounded buffers between processes. Variants such…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-06 Logan Kenwright , Partha Roop , Nathan Allen , Sanjay Lall , Calin Cascaval , Tammo Spalink , Martin Izzard

In this paper we present an open source, fully asynchronous, leaderless algorithm for reaching consensus in the presence of Byzantine faults in an asynchronous network. We prove the algorithm's correctness provided that less than a third of…

Cryptography and Security · Computer Science 2019-07-29 Pierre Chevalier , Bartlomiej Kaminski , Fraser Hutchison , Qi Ma , Spandan Sharma , Andreas Fackler , William J Buchanan

Censorship resistance with short-term inclusion guarantees is an important feature of decentralized systems, missing from many state-of-the-art and even deployed consensus protocols. In leader-based protocols the leader arbitrarily selects…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-19 Orestis Alpos , Bernardo David , Nikolas Kamarinakis , Dionysis Zindros

Throughput limitations of existing blockchain architectures are well documented and are one of the most significant hurdles for their wide-spread adoption. In our previous proof-of-concept work, we have shown that separating computation…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-13 Alexander Hentschel , Dieter Shirley , Layne Lafrance , Maor Zamski

In classical asynchronous distributed systems composed of a fixed number n of processes where some proportion may fail by crashing, many objects do not have a wait-free linearizable implementation (e.g. stacks, queues, etc.). It has been…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-07 Grégoire Bonin , Achour Mostéfaoui , Matthieu Perrin

Multiparty session types are designed to abstractly capture the structure of communication protocols and verify behavioural properties. One important such property is progress, i.e., the absence of deadlock. Distributed algorithms often…

Logic in Computer Science · Computer Science 2025-10-29 Lukas Bartl , Julian Linne , Kirstin Peters

This paper introduces a new family of consensus protocols, namely \emph{Lachesis-class} denoted by $\mathcal{L}$, for distributed networks with guaranteed Byzantine fault tolerance. Each Lachesis protocol $L$ in $\mathcal{L}$ has complete…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-05 Sang-Min Choi , Jiho Park , Quan Nguyen , Andre Cronje , Kiyoung Jang , Hyunjoon Cheon , Yo-Sub Han , Byung-Ik Ahn
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