Re: D correctly simulated by H proved for THREE YEARS --- finite string transformation rules

On 6/12/2024 7:37 PM, Richard Damon wrote:

On 6/12/24 7:53 PM, olcott wrote:

On 6/12/2024 6:41 PM, Richard Damon wrote:

On 6/12/24 7:12 PM, olcott wrote:

On 6/12/2024 5:59 PM, Richard Damon wrote:

On 6/12/24 12:50 PM, olcott wrote:

On 6/12/2024 6:33 AM, Richard Damon wrote:

On 6/11/24 11:34 PM, olcott wrote:

On 6/11/2024 9:32 PM, Richard Damon wrote:

On 6/11/24 8:57 PM, olcott wrote:

On 6/11/2024 7:20 PM, Python wrote:

Le 12/06/2024 à 01:23, olcott a écrit :
...

It turns out that by the generic definition of a decider
what the directly executed D(D) does is not any of the
business of H.

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LOL
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There are no finite string transformations from the input
to H to the behavior of D(D), thus the behavior of D(D)
is irrelevant.
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Of course there is.
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That is exactly what the definition of a UTM is.
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Unless we are as concrete as the x86 language truth slips
though the cracks of vagueness.
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Show each step of DDD correctly simulated by HH such that
DDD terminates normally.

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WHy? I never claimed that to be true.
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The lack of finding a couter example doesn't prove that no counter example exists, it might just not be discovered.
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On 5/29/2021 2:26 PM, olcott wrote:
https://groups.google.com/g/comp.theory/c/dTvIY5NX6b4/m/cHR2ZPgPBAAJ
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*This is still Truthmaker Maximalism*
The actual behavior of the input to H(D,D) is the truthmaker
for halt decider H.

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Which is DEFINED to be the behavior of the program described by the input when directly run.
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*If that was true then you could show ALL OF THE DETAILED STEPS*
*of the mapping that H(D,D) computes to derive that behavior*
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NO, because I never said that H COULD do that computation. That is whythe question is DOES THERE EXIST a machine that can do it.
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There are no finite string transformation rules that H(D,D)
can use to transform its finite string input into the behavior
that you expect.

 So?
 There is a mapping, and thus the question is VALID.
 That there is no finite steps to compute that mapping meaning that the Halting Function is just uncomputable.
 

I am not saying there is no mapping from the question
to the correct answer.
I am saying there is no mapping from the input TO THE QUESTION.
H IS NOT EVEN BEING ASKED ABOUT THE BEHAVIOR OF D(D).
--
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer