Demonstrate that no deterministic 1-crash robust algorithm


In this exercise we consider the problem of [k, l] -election, which generalizes the usual election problem. The problem requires that all correct processes decide on either 0 ( "defeated") or 1 ( "elected"), and that the number of processes that decide 1 is between k and 1 (inclusive) .

(1) What are the uses of [k, l] -election ?

(2) Demonstrate that no deterministic 1-crash robust algorithm for [k, k] ­ election exists (if 0 k N).

(3) Give a deterministic t-crash robust algorithm for [k, k + 2t] -election.

Text Book: Introduction to Distributed Algorithms By Gerard Tel.

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Data Structure & Algorithms: Demonstrate that no deterministic 1-crash robust algorithm
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