[Spinball]

Alfa1, you are comparing the checking system I am suggesting with Lynne's verification system, which I think are somewhat different. Lynne's system passes posts as acceptable. My proposed system just indicates that posts have been checked whether they have required further action or not.

It wouldn't be difficult to append a 'checked by' user id to each post in a new field.

They key to my system is that the moment a moderator (in moderating mode) opens any thread, the displayed posts have to be instantly marked as checked so that other moderators who open the same posts can instantly see that they are being checked.
It uses the same principle as record locking. The posts are opened and locked for update. although they aren't locked as such, the effect is the same.
If the moderator wants to bug out half way through checking the displayed posts, he can simply use the in-line moderation tool to select all the posts and then deselect the ones he has checked and click 'Mark As Unchecked' and then 'Go'.