Abstract
Bivalency argument is a widely-used technique that employs forward induction to show impossibility results and lower bounds related to consensus. However, for a synchronous distributed system of n processes with up to t potential and f actual crash failures, applying bivalency argument to prove the lower bound for reaching uniform consensus is still an open problem. In this paper, we address this problem by presenting a bivalency proof that the lower bound for reaching uniform consensus is (f+2)-rounds where 0≤f≤t-2.
| Original language | English |
|---|---|
| Pages (from-to) | 167-174 |
| Number of pages | 8 |
| Journal | Information Processing Letters |
| Volume | 96 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 16 Dec 2005 |
Keywords
- Bivalency argument
- Distributed computing
- Synchronous distributed systems
- Uniform consensus
ASJC Scopus subject areas
- Theoretical Computer Science
- Signal Processing
- Information Systems
- Computer Science Applications
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