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24 2.1. PRELIMINARIES Notation u1,u2,... a1,a2,.../p1,p2,... n/na /np v,w,x,... v1,v2,... a,a′,.../p,p′,... A, B, C . . . γ, γ′ vacc e,f,g,... (e,v) emin /emax epro/eacc vdec pid/sid/vid plst U /A/P V E E QP /QA QV Γ Q,Q′,... Q,Q′,... Qei Vdec R D min(E ) succ(e) only(V ) Description participants specific acceptors/proposers number of participants/acceptors/proposers values sequence of values acceptors/proposers concrete values candidate values last accepted value epochs proposal with epoch e and value v minimum/maximum epoch last promised/accepted epoch decided value proposer ID/sequence ID/version ID last proposer set of participants/acceptors/proposers set of values set of epochs set of unused epochs set of acceptors which have promised/accepted set of acceptors which have promised with emax set of candidate values quorums (set of acceptors) quorum set quorum set for phase i and epoch e set of values which maybe decided mapping from acceptors to a promise, no or (e, v) mapping from quorums to decisions returns minimum epoch in E returns successor of epoch e returns the only element in singleton set V Table 2.1: Reference table of notation. First use: 2.1 2.1 2.1 2.1 2.1 2.1.1 2.1.1 2.1.1 2.1.1 2.2 2.2 2.2 2.2 3.3 3.8 3.9 2.1 2.1 2.2 2.2 2.2 3.2 2.2 3.11 3.11 4.1 6.1 6.1 6.1 2.2 3.8 6.1PDF Image | Distributed consensus
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