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

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. If I want to repair a hammer, it is stupid to use this same hammer to fix it.
Similarly, to solve the question whether DDD halts, one can use direct execution, or a world-class simulator, or even HHH1, but it is stupid to choose a solver that has a pathological relation with this input, because it is guaranteed that it will give the wrong answer. (If it answers.)