More choices allow more faults: set consensus problems in totally asynchronous systems
Information and Computation
Impossibility of distributed consensus with one faulty process
Journal of the ACM (JACM)
Unifying synchronous and asynchronous message-passing models
PODC '98 Proceedings of the seventeenth annual ACM symposium on Principles of distributed computing
The topological structure of asynchronous computability
Journal of the ACM (JACM)
Tight bounds for k-set agreement
Journal of the ACM (JACM)
Distributed Algorithms
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Brief announcement: pareto optimal solutions to consensus and set consensus
Proceedings of the 2013 ACM symposium on Principles of distributed computing
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The aim of this paper is to pose a challenge to the experts of (algebraic) topology techniques. We present an early deciding algorithm that solves the set agreement problem, i.e., the problem which triggered research on applying topology techniques to distributed computing. We conjecture the algorithm to be optimal, and we discuss the need and challenges of applying topology techniques to prove the lower bound.