But it is not concurrency-proof as guaranteed by say MySQL.
That depends on the definition of concurrency-proof, but let's see
In this case, it is possible to save a doc with id less than the current max that is already saved.
That is correct, but it depends on the definition of simultaneity and monotonicity. Let's say your code snapshots the state of some other part of the system, then fetches the monotonic key, then performs an insert that may take a while. In that case, this apparently non-monotonic insert might actually be 'more monotonic' in the sense that index 2 was indeed captured at a later time, possibly reflecting a more recent state. In other words: does the time it took to insert really matter?
For MySql, this can never happen since auto increment id is assigned by the server.
That sounds like folklore. Most relational dbs offer fine-grained control over these features, since strict guarantees severely impact concurrency.
MySQL does neither guarantee that there are no gaps, nor that a transaction with a high AUTO_INCREMENT
id isn't visible to other readers before a transaction that acquired a lower AUTO_INCREMENT
value was committed, unless you keep a table-level lock, which severely impacts concurrency.
For gaplessness, consider a transaction rollback of the first of two concurrent inserts. Does the second insert now get a new id assigned while it's being committed? No - from the InnoDB documentation:
You may see gaps in the sequence of values assigned to the AUTO_INCREMENT
column if you roll back transactions that have generated numbers using the counter. (see end of 14.6.5.5.1, "Traditional InnoDB Auto-Increment Locking")
and
In all lock modes (0, 1, and 2), if a transaction that generated auto-increment values rolls back, those auto-increment values are “lost”
also, you're completely ignoring the problem of replication where sequences lead to even more trouble:
Thus, table-level locks held until the end of a statement make INSERT statements using auto-increment safe for use with statement-based replication. However, those locks limit concurrency and scalability when multiple transactions are executing insert statements at the same time. (see 14.6.5.5.2 "Configurable InnoDB Auto-Increment Locking")
The sheer length of the documentation of the InnoDB behavior is a reminder of the true complexity of making apparently simple guarantees in a concurrent system. Yes, monotonicity of inserts is possible with table-level locks, but hardly desirable. If you take a distributed view of the system, things get worse, because we can't even be sure of the counter value in partition mode...