A lock needs two thirds of all 30-day weight signing; finality pauses
whenever less than two thirds is connected and signing, the chain runs
on proof of work meanwhile and the node reports it. Spec 3.3, 3.3.1,
3.7, 3.9, 3.10 Q3 row, 3.11 rewritten with the new arithmetic (safety
one third in every view, liveness two thirds connected, the per-view
window bound stated as 3.7 item 9); O-3.15 decided, O-3.16 closed,
O-3.18 and O-3.19 narrowed. Simulator: --floor, the +local partition
mode, scenario L; A to L re-run at the 2/3 floor over five seeds with
the 0.85 deltas in results_v2.md. Litepaper finality sentences and the
'does not claim' item. Ledger F2, F9, F16, F18 restated, F21 added
(the window bound and the post-heal finality fork from the devnet).
Bench-log: node build and tests, simulator deltas, three-node six-voter
runs of 6A, 6B and 6A with a long heal on ports 29200 and up.
Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
Safety: X = 1/3 of total weight while honest votes reach every honest node within 41 min of median time; 4/30 = 13.3% across a longer partition, because only the 17/30 floor binds then (2 x 17/30 - 1). Liveness: Y = 17/30 connected and signing, T = P (1 - Y/(2(1 - Y))) + 107 s, 107 s at 2/3, 43 min at 17/30; below the floor finality pauses and the node reports it. Two certificates at one index: no verified lock is ever withdrawn, operators resolve (replaces the 3.5 re-evaluation). Seeds: uncertified checkpoint allowed (O-4.3 decided). Scenarios H (equivocator across a 50/50 split: conflicts at 12 to 16 min with 20%, none at 13%), I (40/40/20), J (signing stops 1, 6, 24 h), K (bought keys worth 20% and 40% against 30% hash), five seeds each. 3.10 rows for the gaps; open items O-3.15 to O-3.19.
Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
