Validated ACS with Subquadratic Communication Sample Clauses

Validated ACS with Subquadratic Communication. A protocol for the asynchronous common subset (ACS) problem [5, 12] allows n parties to agree on a subset of their initial inputs of some minimum size. We consider a validated version of ACS (VACS), where it is additionally ensured that all values in the output multiset satisfy a given predicate Q [15, 10]. Definition 13 Let Q be a predicate, and let Π be a protocol executed by parties P1, . . . , Pn, where each party outputs a multiset of size at most n, and terminates upon generating output. Π is an f -secure Q-validated ACS protocol with A-output quality if the following hold when at most f parties are corrupted and every honest party’s input satisfies Q: • Q-Validity: if an honest party outputs S, then each v ∈ S satisfies Q(v) = 1. • Consistency: every honest party outputs the same multiset. • A-Output quality: all honest parties output a multiset of size at least A that contains inputs from at least A − f parties who were honest at the start of the protocol. VACS Our VACS protocol ΠA,Q (see Figure 4) is inspired by the protocol of Ben-Or et al. [5].
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Validated ACS with Subquadratic Communication. A protocol for the asynchronous common subset (ACS) problem [5, 12] allows n parties to agree on a subset of their initial inputs of some minimum size. We consider a validated version of ACS (VACS), where it is additionally ensured that all values in the output multiset satisfy a given predicate Q [15, 10].

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