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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: comp.theory
Subject: Re: Two dozen people were simply wrong --- Try to prove otherwise
Date: Fri, 31 May 2024 11:30:16 +0300
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On 2024-05-31 01:54:52 +0000, olcott said:

> On 5/30/2024 8:37 PM, Richard Damon wrote:
>> On 5/30/24 9:31 AM, olcott wrote:
>>> On 5/30/2024 2:40 AM, Mikko wrote:
>>>> On 2024-05-30 01:15:21 +0000, olcott said:
> 
>>>>> x <is> a finite string Turing machine description that SPECIFIES 
>>>>> behavior. The term: "representing" is inaccurate.
>>>> 
>>>> No, x is a description of the Turing machine that specifies the behaviour
>>>> that H is required to report.
>>> 
>>> That is what I said.
>> 
>> Note, the string doesn't DIRECTLY specify behavior, but only indirectly 
>> as a description/representation of the Turing Mach
>> 
> 
> The string directly SPECIFIES behavior to a UTM or to
> any TM based on a UTM.

An UTM interpretes the string as a specification of behaviour
and another Turing machine may interprete likewise. But in a
different context the interpretation is different.

Note that there are specifications of behaviour that do not
describe. A specification can be an algorithm that takes
the input and output of a Turing machine and from then computes
whether the output is correct. That kind of specification cannot
be used as an input to an UTM or other Turing machine that expects
a description.

-- 
Mikko