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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 19:51:48 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Sat, 29 Mar 2025 13:54:22 -0500 schrieb olcott:
> On 3/29/2025 4:19 AM, joes wrote:
>> Am Fri, 28 Mar 2025 17:38:22 -0500 schrieb olcott:
>>> On 3/28/2025 5:30 PM, dbush wrote:
>>>> On 3/28/2025 6:09 PM, olcott wrote:
>>>>> On 3/28/2025 3:38 PM, dbush wrote:
>>>>>> On 3/28/2025 4:30 PM, olcott wrote:

>>>>> It does not compute (a sequence of steps of an algorithm that derive
>>>>> an output on the basis of an input) jack shit it makes a guess.
>> Even a constant function is a "computation", even if it doesn't
>> actually do any work.
> That is not transforming an input finite string into its corresponding
> output finite string.
Yes it is: transforming every input into the same output. 

>>>> Doesn't matter. If the requirement is to return 5 for strings that
>>>> have a length of 5, it meets the requirement.
>>> The actual requirement is to compute the mapping from a finite string
>>> to its length using a sequence of algorithmic steps.
>>> Likewise for halting. Compute the mapping from a finite string of
>>> machine code to the behavior that this finite string specifies.
>> Do you reckon the direct execution of a TM contradicts the
>> specification?
Does it?

-- 
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.