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Op 13.mei.2025 om 22:52 schreef olcott:<MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>On 5/13/2025 1:20 PM, Mike Terry wrote:Finite recursive simulation, because the input includes the code to abort.On 13/05/2025 19:00, Richard Heathfield wrote:>On 13/05/2025 18:12, dbush wrote:>On 5/13/2025 1:06 PM, Richard Heathfield wrote:>On 13/05/2025 17:21, dbush wrote:>On 5/13/2025 12:01 PM, olcott wrote:>
<snip>
>>The actual reasoning why HHH is supposed to report>
on the behavior of the direct execution of DD()
instead of the actual behavior that the finite
string of DD specifies:
Quite simply, it's the behavior of the direct execution that we want to know about.
Why?
>
DDD doesn't do anything interesting.
I wasn't referring to DDD specifically, but in general.
>
He's claiming *in general* that H(X) is supposed to report on "X simulated by H" instead of the direct execution of X,
...where the former is obviously less interesting than the latter. Fair enough.
>
<snip>
Right! PO's defintion of PO-halting (based on what "the simulator" does) makes halting a property of both the input being decided /and/ the machine doing the deciding.
>
Real halting is a property of just the input being decided, as is
The input being decided by HHH(DD) includes DD
calling its own emulator in recursive simulation.
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