November 2013
Intermediate to advanced
336 pages
9h 56m
English
book
Distributed Computing Through Combinatorial Topology
by Maurice Herlihy, Dmitry Kozlov, Sergio Rajsbaum
Content preview from Distributed Computing Through Combinatorial Topology
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Chapter 9
Manifold Protocols
Abstract
Theoretical distributed computing is primarily concerned with classifying tasks according to their difficulty. Which tasks can be solved in a given distributed computing model? We consider here two important tasks: set agreement and weak symmetry breaking. It turns out that the immediate snapshot protocols of Chapter 8 cannot solve these tasks. Moreover, we will identify a broader class of protocols called manifold protocols, that cannot solve 
-set agreement. (The impossibility proof for weak symmetry breaking is more complicated and is deferred to Chapter 12.)
Keywords
Moebius task; Sperner’s lemma; Chromatic ...
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