Agreement Primitives Sample Clauses

Agreement Primitives. Byzantine agreement (BA) allows a set of parties (each holding an input) to agree on a common value, even when a subset of parties has arbitrary behavior. ∈ { } ∈ { 𝖳} Definition 2. (Byzantine agreement) Let Π be a protocol executed by parties P1, . . . , Pn where each party Pj holds input vj 0, 1 and terminates upon generating an output fj 0, 1, . We say protocol Π achieves – (t-validity) if whenever up to t parties are corrupted: if there is v such that each honest party holds input vj = v, then every honest party outputs fj = v. – (t-weak validity) if whenever up to t parties are corrupted: if there is v such that each ∈ { 𝖳} honest party holds input vj = v, then every honest party outputs fj v, .

Agreement Primitives. Byzantine Agreement. We first recall the definition of Byzantine agreement. ∈ { }