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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: DDD specifies recursive emulation to HHH and halting to HHH1
Date: Sat, 29 Mar 2025 16:33:13 -0500
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On 3/29/2025 2:51 PM, joes wrote:
> 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.
> 

Deciders must transform inputs into accept or reject
states on the basis of a syntactic or semantic property
specified by the input.

The DDD input to HHH specifies non-halting.

>>>>> 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?
> 

Direct execution itself cannot possibly contradict anything.
Read what I said above as many times as needed to get it.

-- 
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer