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The curious case of two inserts, a shrinking xmax, and a ShareLock on transaction

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Hi,

I've been trying to understand this curious case of a shrinking xmax.

Suppose we have two tables: foo and bar.

CREATE TABLE foo (
    foo_id text PRIMARY KEY NOT NULL
);

CREATE TABLE bar (
    bar_id text NOT NULL,
    foo_id text NOT NULL REFERENCES foo (foo_id) ON DELETE CASCADE
);

... and we have a foo_id1:

[console] sandbox=# insert into foo (foo_id) values ('foo_id1');
INSERT 0 1
[console] sandbox=# select *, xmin, xmax from foo;
 foo_id  | xmin | xmax 
---------+------+------
 foo_id1 |  694 |    0
(1 row)

Now we start transaction A:
    
[A] sandbox=# begin;
BEGIN
[A] sandbox=# insert into bar (bar_id, foo_id) values ('bar_id1', 'foo_id1');
INSERT 0 1
[A] sandbox=# select *, xmin, xmax from bar;
 bar_id  | foo_id  | xmin | xmax
---------+---------+------+------
 bar_id1 | foo_id1 |  695 |    0
(1 row)

[A] sandbox=# select *, xmin, xmax from foo;
 foo_id  | xmin | xmax
---------+------+------
 foo_id1 |  694 |  695
(1 row)

Ok, foo_id1's xmax is 695, which locks the row as explained by this excellent blog post: http://rhaas.blogspot.com/2011/10/deadlocks.html

Now let's start transaction B:

[B] sandbox=# begin;
BEGIN
[B] sandbox=# insert into bar (bar_id, foo_id) values ('bar_id2', 'foo_id1');
INSERT 0 1
[B] sandbox=# select *, xmin, xmax from bar;
 bar_id  | foo_id  | xmin | xmax 
---------+---------+------+------
 bar_id2 | foo_id1 |  696 |    0
(1 row)

[B] sandbox=# select *, xmin, xmax from foo;
 foo_id  | xmin | xmax 
---------+------+------
 foo_id1 |  694 |    1
(1 row)

Wait, what?  foo_id1's xmax is 1?  What does that even mean?

If I do a SELECT FOR UPDATE on foo_id1 in transaction A, it hangs waiting for transaction B to finish:

[A] sandbox=# select * from foo where foo_id = 'foo_id1' for update;

I can see transaction A (transactionid 695, virtualtransaction 3/41)
takes a ShareLock on transaction B (transactionid 696).  How does it
know to do that since foo_id1's xmax is 1?

[console] sandbox=# select locktype, relation::regclass, page, tuple, virtualxid, transactionid, virtualtransaction, pid, mode, granted, fastpath from pg_locks where virtualtransaction = '3/41' or virtualtransaction = '4/15';
   locktype    | relation | page | tuple | virtualxid | transactionid | virtualtransaction | pid |        mode         | granted | fastpath 
---------------+----------+------+-------+------------+---------------+--------------------+-----+---------------------+---------+----------
 relation      | foo_pkey |      |       |            |               | 4/15               | 171 | AccessShareLock     | t       | t
 relation      | foo      |      |       |            |               | 4/15               | 171 | AccessShareLock     | t       | t
 relation      | foo      |      |       |            |               | 4/15               | 171 | RowShareLock        | t       | t
 relation      | bar      |      |       |            |               | 4/15               | 171 | AccessShareLock     | t       | t
 relation      | bar      |      |       |            |               | 4/15               | 171 | RowExclusiveLock    | t       | t
 virtualxid    |          |      |       | 4/15       |               | 4/15               | 171 | ExclusiveLock       | t       | t
 relation      | foo_pkey |      |       |            |               | 3/41               | 165 | AccessShareLock     | t       | t
 relation      | foo      |      |       |            |               | 3/41               | 165 | AccessShareLock     | t       | t
 relation      | foo      |      |       |            |               | 3/41               | 165 | RowShareLock        | t       | t
 relation      | bar      |      |       |            |               | 3/41               | 165 | AccessShareLock     | t       | t
 relation      | bar      |      |       |            |               | 3/41               | 165 | RowExclusiveLock    | t       | t
 virtualxid    |          |      |       | 3/41       |               | 3/41               | 165 | ExclusiveLock       | t       | t
 transactionid |          |      |       |            |           696 | 3/41               | 165 | ShareLock           | f       | f
 transactionid |          |      |       |            |           695 | 3/41               | 165 | ExclusiveLock       | t       | f
 transactionid |          |      |       |            |           696 | 4/15               | 171 | ExclusiveLock       | t       | f
 tuple         | foo      |    0 |     2 |            |               | 3/41               | 165 | AccessExclusiveLock | t       | f

At this point, if I commit or rollback transaction B, transaction A
can continue.  If I do a SELECT FOR UPDATE on foo_id1 for transaction
B, I'll create a deadlock and the deadlock detector will kill one of
the transactions.

I'd really love to learn:

1. Why the xmax for foo_id1 goes from 696 to 1 and what does that
   mean?
2. How does transaction A know it needs to take a ShareLock on
   transaction B?
3. What is a virtualtransaction and what do its numerator and denominator mean?

Thanks,
Jeff


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