Permissionless Consensus based on Proof-of-Eligibility

We propose a consensus algorithm whose objective is to decide on the same union of proposed values, such that with high probability all the values proposed by the honest nodes belong to the decision. Our algorithm has been designed to cope with an asynchronous and permissionless system. By relying on a proof-of-eligibility, our algorithm is tolerant to an adversary capable of instantaneously corrupting entities. A straightforward application of our algorithm is the design of permissionless distributed ledgers.