Terminology: the anchor certificate is a quorum since 14,961,456, and this document said both

Line 23 stated the enforced minimum is six of nine, a full 2f+1 quorum. Line 192 stated
the certificate is signed by f+1 validators, not by a quorum, and that we do not call it
one - inviting the reader to count. The terminology paragraph was written when the
threshold was three, where it was true, and was not revised when the threshold was raised
on 21 August 2026. A document that asks to be counted and does not survive the count loses
more than the paragraph.

Corrected without deleting the distinction, and with the two things that were missing and
without which the claim is not defensible: the word quorum applies only at anchor heights,
about every 32nd block, and the blocks between them carry no Falcon seals at all; and the
higher threshold costs liveness margin, since at six of nine three late validators stall an
anchor block where three of nine tolerated six.

Not pushed. Publishing is the founder's decision.
This commit is contained in:
Aere Network 2026-08-29 18:18:15 +03:00
parent 39d3275e17
commit 249da4ff7c

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@ -189,10 +189,22 @@ sentence. Someone else has to do the verifying, which is why it is here.
## Terminology, used precisely ## Terminology, used precisely
**A certificate here is signed by f+1 validators, not by a quorum.** With f Byzantine faults **A certificate at an anchor height is signed by a quorum of six of nine validators, since block
tolerated, f+1 signatures guarantee that at least one honest validator signed. That is a real 14,961,456 (August 21, 2026). It was f+1 before that, and this paragraph said so.** The distinction
property and it is not the same as a quorum, and we do not call it one. Anyone counting will notice, is worth keeping in view rather than deleting, because it is the difference between two genuinely
and they should. different claims. f+1 signatures guarantee only that at least one honest validator signed. A quorum
of 2f+1 is the same count QBFT itself requires to agree on the block, so from 14,961,456 the
post-quantum certificate at an anchor height is backed by as many validators as the block itself.
Two things follow, and both should be said rather than left to be discovered. The word "quorum"
applies **only at anchor heights** - about every 32nd block; the blocks between them carry no Falcon
seals at all and are finalized by ECDSA alone, so "a post-quantum quorum on every block" would be
false. And the higher threshold costs liveness margin: at K=6 of nine, three late validators are
enough to stall an anchor block, where K=3 tolerated six. That trade was made deliberately, and it
is the reason the threshold is a configured schedule rather than a constant.
Anyone counting will notice which of the two regimes a given height falls in, and they should. The
schedule is in the header of this document and on every node.
The seal threshold is a **floor, not a cap**: nodes attach as many verified seals as arrive in time, The seal threshold is a **floor, not a cap**: nodes attach as many verified seals as arrive in time,
which is at least the threshold and often more. A separate cap bounds how many are written, because which is at least the threshold and often more. A separate cap bounds how many are written, because