Re: DDD specifies recursive emulation to HHH and halting to HHH1

Op 29.mrt.2025 om 22:07 schreef olcott:

On 3/29/2025 3:45 PM, Fred. Zwarts wrote:

Op 29.mrt.2025 om 20:03 schreef olcott:

On 3/29/2025 10:23 AM, dbush wrote:

On 3/29/2025 11:12 AM, olcott wrote:

On 3/28/2025 11:00 PM, dbush wrote:

On 3/28/2025 11:45 PM, olcott wrote:

>
It defines that it must compute the mapping from
the direct execution of a Turing Machine

>
Which does not require tracing an actual running TM, only mapping properties of the TM described.

>
The key fact that you continue to dishonestly ignore
is the concrete counter-example that I provided that
conclusively proves that the finite string of machine
code input is not always a valid proxy for the behavior
of the underlying virtual machine.

>
In other words, you deny the concept of a UTM, which can take a description of any Turing machine and exactly reproduce the behavior of the direct execution.

>
I deny that a pathological relationship between a UTM and
its input can be correctly ignored.
>
When this pathological relationship changes this behavior
we cannot simply pretend that the behavior is not changed.
>
>

>
When solving a problem, it is stupid to choose a tool that has a pathological relation with the problem.

 A termination analyzer cannot reject itself,

but it can report that it failed to do a correct analysis. That is what HHH does when it fails to reach the end of the simulation of a program that has an end as proven by direct execution and world-class simulators.