The standard AIXI does consider terminating histories because (even if halting machines are not included) some machines loop indefinitely without producing further output. The probability of this happening does eventually approach zero, but there is no reason it can’t be the most plausible hypothesis in some cases.
The standard AIXI does consider terminating histories because (even if halting machines are not included) some machines loop indefinitely without producing further output. The probability of this happening does eventually approach zero, but there is no reason it can’t be the most plausible hypothesis in some cases.