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A Composition Theorem for Conical Juntas

Related publications (32)

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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

Distributed Agreement with Optimal Communication Complexity

Seth Gilbert

We consider the problem of fault-tolerant agreement in a crash-prone synchronous system. We present a new randomized consensus algorithm that achieves optimal communication efficiency, using only O(n) bits of communication, and terminates in (almost optima ...

Siam, 3600 Univ City Science Center, Philadelphia, Pa 19104-2688 Usa2010

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

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

The Complexity of Obstruction-Free Implementations

Rachid Guerraoui, Hagit Albo Attiya

Obstruction-free implementations of concurrent ob jects are optimized for the common case where there is no step contention, and were recently advocated as a solution to the costs associated with synchronization without locks. In this paper, we study this ...

2009

The Collective Memory of Amnesic Processes

Rachid Guerraoui, Bastian Pochon, James Pugh, Ron Levy

This paper considers the problem of robustly emulating a shared atomic memory over a distributed message passing system where processes can fail by crashing and possibly recover. We revisit the notion of atomicity in the crash-recovery context and introduc ...

2008

How to Safely Close a Discussion

Serge Vaudenay, Gildas Avoine

In the secure communication problem, we focus on safe termination. In applications such as electronic transactions, we want each party to be ensured that both sides agree on the same state: success or failure. This problem is equivalent to the well known c ...

2007

Network Correlated Data Gathering with Explicit Communication: NP-Completeness and Algorithms

Martin Vetterli, Razvan Cristescu

We consider the problem of correlated data gathering by a network with a sink node and a tree based communication structure, where the goal is to minimize the total trans- mission cost of transporting the information collected by the nodes, to the sink nod ...

2006

Robust Emulations of Shared Memory in a Crash-Recovery Model

Rachid Guerraoui, Ron Levy

A shared memory abstraction can be robustly emulated over an asynchronous message passing system where any process can fail by crashing and possibly recover (crash-recovery model), by having (a) the processes exchange messages to synchronize their read and ...

2004

The Complexity of Asynchronous Byzantine Consensus

Rachid Guerraoui, Marko Vukolic, Partha Dutta

This paper establishes the first theorem relating resilience, round complexity and authentication in distributed computing. We give an exact measure of the time complexity of consensus algorithms that tolerate Byzantine failures and arbitrary long periods ...