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Anders Elowsson
@anderselowsson
Vorbit SSF with circular and spiral finality: validator selection and distribution This post analyzes how cumulative finality accrues across committees in single-slot finality (SSF) for a wide range of validator sets, with a key focus on committee design. https://ethresear.ch/t/vorbit-ssf-with-circular-and-spiral-finality-validator-selection-and-distribution/20464 ✍️
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Anders Elowsson
@anderselowsson
A moderately consolidated validator set after EIP-7251 may have 233k validators. Say it is divided into 8 committees of 29k validators each to accommodate signature propagation. Each SSF committee will then cumulatively add finality to block n according to the dashed blue line.
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Anders Elowsson
@anderselowsson
Increase the committees to 31k validators, selecting larger validators with a probability proportional to size. Finality will then accrue markedly faster during the initial slots, as shown by the solid blue line. This helps reduce the aggregate finality gap: the cyan area.
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Anders Elowsson
@anderselowsson
Add an “auxiliary committee” on top of the 8 regular ones, resulting in 9 committees per “epoch”. This gives room to add more validators with high balances in each committee. Cumulative finality then accrues faster at first (green) but the trend finally reverses (red).
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Anders Elowsson
@anderselowsson
As more auxiliary committees are added, the green and red areas will eventually balance out. This point seems like a reasonable baseline for the optimal configuration, although many factors e.g. related to consensus formation can be considered to improve upon the baseline.
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Anders Elowsson
@anderselowsson
If the validator set is more consolidated, cumulative finality can accrue faster; certainly something to strive for! Here is the outcome if we had a “pure Zipfian” staking set instead. It can give full finality in three slots, and/or a very high finality already in the first.
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