FA-75214 / CRDT convergence / Member archive
Fractional position allocation: the upper neighbour keeps constraining after the prefix diverges · case 04
Positions are allocated deeper than necessary or squeezed against digits that no longer bound them.
Case contract
Starting from the given sorted positions, positions are digit lists in base 10 compared lexicographically and never ending in 0. Inserting at list index i allocates between the neighbours p (or [] at the start) and q (or [] at the end): walking depth d, lower digit a is p[d] or 0, upper digit b is q[d] while q still constrains (else 10); if b - a > 1 append (a+b)//2 and stop, else append a, and q stops constraining once a < b. Return positions as dotted strings in list order.
Why this case matters
Sequence CRDTs such as Logoot and LSEQ assign dense identifiers so that concurrent inserts never need renumbering.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| upper neighbour stops constraining after divergence | ["3.7", "3.7.5", "4.8"] | ["3.7", "3.8", "4.8"] | Failed |
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