Re: Turing Machine computable functions apply finite string transformations to inputs VERIFIED FACT

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Sujet : Re: Turing Machine computable functions apply finite string transformations to inputs VERIFIED FACT
De : rjh (at) *nospam* cpax.org.uk (Richard Heathfield)
Groupes : comp.theory
Date : 30. Apr 2025, 16:13:40
Autres entêtes
Organisation : Fix this later
Message-ID : <vuten4$hkal$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
User-Agent : Mozilla Thunderbird
On 30/04/2025 15:58, olcott wrote:
On 4/30/2025 1:05 AM, Richard Heathfield wrote:
<snip>

Nor is there any restriction that says it can't deduce behaviour it can't see, simply by reading the tapes.
>
 It is ONLY allowed to derive its output by
applying finite string transformations to its input.
i.e. read the tapes and do algorithmy stuff with that input. There is, therefore, no need to simulate anything if H's programmer can figure out a way to deduce behaviour from the P and D tapes.

For the HHH/DD pair these must be the finite string
transformations specified by the x86 language.
Then you're attacking the Olcott Problem, not the Halting Problem.
<snip>
--
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

Date Sujet#  Auteur
21 Apr 25 * Re: Refutation of Turing’s 1936 Halting Problem Proof Based on Self-Referential Conflation as a Category (Type) Error450Keith Thompson
22 Apr 25 +* Re: Refutation of Turing’s 1936 Halting Problem Proof Based on Self-Referential Conflation as a Category (Type) Error442olcott
22 Apr 25 i+- Re: Refutation of Turing’s 1936 Halting Problem Proof Based on Self-Referential Conflation as a Category (Type) Error1Richard Damon
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25 Apr 25 i +* Re: Refutation of Turing’s 1936 Halting Problem Proof Based on Self-Referential Conflation as a Category (Type) Error195Richard Damon
25 Apr 25 i i`* Re: Refutation of Turing’s 1936 Halting Problem Proof Based on Self-Referential Conflation as a Category (Type) Error194olcott
25 Apr 25 i i +* Re: Refutation of Turing’s 1936 Halting Problem Proof Based on Self-Referential Conflation as a Category (Type) Error192joes
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26 Apr 25 i i i +- Re: Turing Machine computable functions apply finite string transformations to inputs1dbush
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29 Apr 25 i i i i i i i   i ii   i i i `- Re: Turing Machine computable functions apply finite string transformations to inputs1Richard Damon
28 Apr 25 i i i i i i i   i ii   i i +- Re: Turing Machine computable functions apply finite string transformations to inputs1Fred. Zwarts
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28 Apr 25 i i i i i i i   i ii   i`* Re: Turing Machine computable functions apply finite string transformations to inputs103olcott
28 Apr 25 i i i i i i i   i ii   i +* Re: Turing Machine computable functions apply finite string transformations to inputs14dbush
28 Apr 25 i i i i i i i   i ii   i i`* Re: Turing Machine computable functions apply finite string transformations to inputs +++13olcott
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28 Apr 25 i i i i i i i   i ii   i i   `* Re: Turing Machine computable functions apply finite string transformations to inputs +++10dbush
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28 Apr 25 i i i i i i i   i ii   i i     +- Re: Turing Machine computable functions apply finite string transformations to inputs +++1Fred. Zwarts
28 Apr 25 i i i i i i i   i ii   i i     `* Re: Turing Machine computable functions apply finite string transformations to inputs +++5Richard Heathfield
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