The Quitable Aristocratic Agreement Problem Sample Clauses

The Quitable Aristocratic Agreement Problem. У The proof about the weakest failure detector required to solve the NBAC problem [8] has utilized the Quitable Consensus (QC) intermediate problem. In this section, we extend the definition of Quitable Con- sensus to incorporate aristocrats, resulting in the Quitable Aristocratic Consensus (QAC). We then show that the following results about QAC: (1) QAC can be implemented using a ΨAr(A) failure detector and Consensus protocol, (2) QAC can be used to derive a failure detector in ΨAr(A), and (3) Managed Agree- ment can be derived from QAC and a ? Ar(A) failure detector. Clearly, (1) and (2) imply that ΨAr(A) is the weakest failure detector for solving QAC. This mimics the results in [8] about QC, indicating the generality of the aristocrat nodes model. ∩{ } Specifically, in the Quitable Aristocrat Agreement problem, denoted also QAC, D-VALS = P-VALS Q . It is defined by the Agreement and Termination properties as defined in Section 3.1 and the following validity property: • ∈ —
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