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Byzantine consensus is Θ(n^2): the Dolev-Reischuk bound is tight even in partial synchrony!

Related publications (45)

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Timing Analysis of Leader-Based and Decentralized Byzantine Consensus Algorithms

André Schiper, Martin Hutle, Fatemeh Borran

We compare in an analytical way two leader-based and decentralized algorithms (that is, algorithms that do not use a leader) for Byzantine consensus with strong validity. We show that for \emph{the algorithms we analyzed}, in most cases, the decentralized ...

IEEE2011

Silence-Based Communication

Christina Fragouli

Communication complexity---the minimum amount of communication required---of computing a function of data held by several parties is studied. A communication model where silence is used to convey information is introduced. For this model the worst-case and ...

2010

Fast Randomized Test-and-Set and Renaming

Rachid Guerraoui, Seth Gilbert, Dan Alistarh, Hagit Albo Attiya, Andrei Giurgiu

Most people believe that renaming is easy: simply choose a name \emph{at random}; if more than one process selects the same name, then try again. We highlight the issues that occur when trying to implement such a scheme and shed new light on the read-write ...

2010

Additive Combinatorics and Discrete Logarithm Based Range Protocols

Rafik Chaabouni, Helger Lipmaa

We show how to express an arbitrary integer interval

I = [0, H]

as a sumset

I = \sum_{i=1}^\ell G_i * [0, u - 1] + [0, H']

of smaller integer intervals for some small values

\ell

u

, and

H' < u - 1

, where

b * A = \{b a : a \in A\}

and $A + B = ...

Springer2010

Timing Analysis of Leader-based and Decentralized Byzantine Consensus Algorithms

André Schiper, Martin Hutle, Fatemeh Borran

We compare in an analytical way two leader-based and decentralized algorithms (that is, algorithms that do not use a leader) for Byzantine consensus with strong validity. We show that for the algorithms we analyzed, in most cases, the decentralized variant ...

2010

Refined quorum systems

Rachid Guerraoui, Marko Vukolic

It is considered good distributed computing practice to devise object implementations that tolerate contention, periods of asynchrony and a large number of failures, but perform fast if few failures occur, the system is synchronous and there is no contenti ...

2010

A Leader-Free Byzantine Consensus Algorithm

André Schiper, Fatemeh Borran

The paper considers the consensus problem in a partially synchronous system with Byzantine faults. It turns out that, in the partially synchronous system, all deterministic algorithms that solve consensus with Byzantine faults are leader-based. This is not ...

Springer-Verlag2010

A Leader-Free Byzantine Consensus Algorithm

André Schiper, Fatemeh Borran

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010

Chasing the Weakest System Model for Implementing Omega and Consensus

Martin Hutle

Aguilera et al. and Malkhi et al. presented two system models, which are weaker than all previously proposed models where the eventual leader election oracle Omega can be implemented, and thus, consensus can also be solved. The former model assumes unicast ...

2009

Real-time input-constrained MPC using fast gradient methods

Colin Neil Jones

Linear quadratic model predictive control (MPC) with input constraints leads to an optimization problem that has to be solved at every instant in time. Although there exists computational complexity analysis for current online optimization methods dedicate ...

IEEE2009

Additive Combinatorics and Discrete Logarithm Based Range Protocols

Rafik Chaabouni, Helger Lipmaa

We show how to express an arbitrary integer interval

I = [0, H]

as a sumset

I = \sum_{i=1}^\ell G_i * [0, u - 1] + [0, H']

of smaller integer intervals for some small values

\ell

u

, and

H' < u - 1

, where

b * A = \{b a : a \in A\}

and $A + B = ...

Springer2010