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From: joes <noreply@example.org>
Newsgroups: comp.theory
Subject: Re: DDD specifies recursive emulation to HHH and halting to HHH1
Date: Sat, 29 Mar 2025 09:35:10 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Fri, 28 Mar 2025 14:21:24 -0500 schrieb olcott:
> On 3/28/2025 4:43 AM, Fred. Zwarts wrote:
>> Op 28.mrt.2025 om 03:13 schreef olcott:
>>> On 3/27/2025 9:04 PM, Richard Damon wrote:
>>>> On 3/27/25 9:07 PM, olcott wrote:
>>>>> On 3/27/2025 7:38 PM, dbush wrote:
>>>>>> On 3/27/2025 8:34 PM, olcott wrote:
>>>>>>> On 3/27/2025 7:12 PM, dbush wrote:

>>> No TM can take another directly executed TM as an input and Turing
>>> computable functions only compute the mapping from inputs to outputs.
>>>
>> If A TM can only compute the mapping from *its* input to *its* output,
>> it cannot be wrong.
> 
> Taking a wild guess does not count as computing the mapping. A
> termination analyzer must be able to prove what the behavior of its
> input is. It can't simply take a wild guess.
No, *you* must prove its correctness. The analyser can just report,
or it is wrong. Also simulation is not guessing. We know the answer
is the halting status of the direct execution.

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.