[anoniuyiu33412]

> I guess what I'm saying is that such a program could choose to "live" in any state in its past

It could, but if an algorithm is somewhat conscius, could also probably have concurrent access to the stored information (the past), and just like us, it won't be able to make much of it after some time, there is just so much information you can generate from a given set of data.

Specially if the algorithm has a purpose, or 20.000 purposes .

At that at point the AI could choose to advance its relative point of view of the time to the current events, in order to try to add new stuff to the whole almost unvariable dataset it already has generated.

No guarantees can exist if the algorithm has no purpose at all.