Bibliographic Details
| Title: |
Faster randomized consensus with an oblivious adversary. |
| Authors: |
Aspnes, James1 aspnes@cs.yale.edu |
| Source: |
Distributed Computing. Feb2015, Vol. 28 Issue 1, p21-29. 9p. |
| Subjects: |
Randomization (Statistics), EPSILON (Computer program language), Computational complexity, Permutation groups, Iterative methods (Mathematics) |
| Abstract: |
Two new algorithms are given for randomized consensus in a shared-memory model with an oblivious adversary. Each is based on a new construction of a conciliator, an object that guarantees termination and validity, but that only guarantees agreement with constant probability. The first conciliator assumes unit-cost snapshots and achieves agreement among n processes with probability $$1-\epsilon $$ in $$O(\log ^* n + \log (1/\epsilon ))$$ steps for each process. The second uses ordinary multi-writer registers, and achieves agreement with probability $$1-\epsilon $$ in $$O(\log \log n + \log (1/\epsilon ))$$ steps. Combining these constructions with known results gives randomized consensus for arbitrarily many possible input values using unit-cost snapshots in $$O(\log ^* n)$$ expected steps and randomized consensus for up to $$(\log n)^{O(\log \log \log n)}$$ possible input values using ordinary registers in $$O(\log \log n)$$ expected steps. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
