(1) In the event of a crash, how does it know which transactions it's missing without a total order on the write transactions?
(2) In the non-failure case, how do you know the transactions in one batch are ordered before the transactions in a subsequent batch (which requires the replica to identify any "gaps" within the previous batch so it can wait for them to come in before continuing on)?
I don't think any of this is unresolvable (just adding a total order would go a long way). I do think it's very tricky to get right, with lots of edge cases, and that if you can't efficiently identify missing transactions it potentially makes recovery unusably slow.
In any case, since I believe you are losing serializability with multiple writers, you should probably weigh that against any performance gains you get from multiple writers (I think even the group commit variant suffers from this problem).
This is difficult to reconcile with:
> - For the highest performance, you can designate a transaction as "asynchronous" and the master will commit immediately
because if the leader crashes, a replica becomes leader and starts accepting writes, then the old leader recovers as a replica, without something like an epoch number it won't be able to tell that it has commits that the current leader doesn't (using a unique incrementing transaction number based on just a counter at the leader won't work, because it won't necessarily be unique across leader elections thanks to the asynchronous commits).
Furthermore, every commit has a running SHA hash of all prior commits (and every node keeps a history of the last few million commits). This way any two nodes can compare their journals to make sure they agree -- and if there is any split, then the cluster kicks that node out.
Basically, there is no scenario in which a node that commits a different transaction (or a transaction in a different order) is allowed to remain in the cluster.
Now I do agree that it's tricky to avoid "gaps" in the failure cases. However, every replica keeps a record of the past several million transactions (we aim for 3 days), and every transaction is assigned a unique ID. When a replica starts up, it "synchronizes" down every missing transaction it has, and at this point would "repair" any gaps it somehow obtained when it went down.
Admittedly, the exact details of that part are TBD, but it doesn't strike me as an unresolvable problem on the surface.