In self-organizing systems, such as mobile ad-hoc and peer-to-peer networks, consensus is a fundamental building block to solve agreement problems. It contributes to coordinate actions of nodes distributed in an ad-hoc manner in order to take consistent decisions. It is well known that in classical environments, in which entities behave asynchronously and where identities are known, consensus cannot be solved in the presence of even one process crash. It appears that self-organizing systems are even less favorable because the set and identity of participants are not known. We define necessary and sufficient conditions under which fault-tolerant consensus become solvable in these environments. Those conditions are related to the synchrony requirements of the environment, as well as the connectivity of the knowledge graph constructed by the nodes in order to communicate with their peers. Ces conditions sont liées aux hypothèses de synchronie sur l'environnement, ainsi qu'à la connectivité du graphe des connaissances induit par les noeuds qui souhaitent communiquer avec leurs pairs.
Abstract. Consensus is a fundamental building block used to solve many practical problems that appear on reliable distributed systems. In spite of the fact that consensus is being widely studied in the context of classical networks, few studies have been conducted in order to solve it in the context of dynamic and self-organizing systems characterized by unknown networks. While in a classical network the set of participants is static and known, in a scenario of unknown networks, the set and number of participants are previously unknown. This work goes one step further and studies the problem of Byzantine Fault-Tolerant Consensus with Unknown Participants, namely BFT-CUP. This new problem aims at solving consensus in unknown networks with the additional requirement that participants in the system can behave maliciously. This paper presents a solution for BFT-CUP that does not require digital signatures. The algorithms are shown to be optimal in terms of synchrony and knowledge connectivity among participants in the system.
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