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

Liste des GroupesRevenir à theory 
Sujet : Re: Turing Machine computable functions apply finite string transformations to inputs
De : polcott333 (at) *nospam* gmail.com (olcott)
Groupes : comp.theory
Date : 28. Apr 2025, 16:01:07
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vuo57j$3h5l9$2@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
User-Agent : Mozilla Thunderbird
On 4/28/2025 2:33 AM, Richard Heathfield wrote:
On 28/04/2025 07:46, Fred. Zwarts wrote:
 <snip>
 
So we agree that no algorithm exists that can determine for all possible inputs whether the input specifies a program that (according to the semantics of the machine language) halts when directly executed.
Correct?
 Correct. We can, however, construct such an algorithm just as long as we can ignore any input we don't like the look of.
 
The behavior of the direct execution of DD cannot be derived
by applying the finite string transformation rules specified
by the x86 language to the input to HHH(DD). This proves that
this is the wrong behavior to measure.
It is the behavior THAT IS derived by applying the finite
string transformation rules specified by the x86 language
to the input to HHH(DD) proves that THE EMULATED DD NEVER HALTS.

Similarly, we can construct a list that contains all possible real numbers just as long as we can ignore any iffy numbers that smell a funny colour.
 
--
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer

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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 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
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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 +++13olcott
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 +++12dbush
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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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29 Apr 25 i i i i i i i   i ii   i  `* Re: Turing Machine computable functions apply finite string transformations to inputs VERIFIED FACT85olcott
29 Apr 25 i i i i i i i   i ii   i   +* Re: Turing Machine computable functions apply finite string transformations to inputs VERIFIED FACT7dbush
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