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Groups > comp.theory > #119412
| From | Mike Terry <news.dead.person.stones@darjeeling.plus.com> |
|---|---|
| Newsgroups | comp.theory |
| Subject | Re: How to write a self-referencial TM? |
| Date | 2025-05-17 15:45 +0100 |
| Organization | A noiseless patient Spider |
| Message-ID | <100a7e4$efgi$1@dont-email.me> (permalink) |
| References | (10 earlier) <e63d3083ddf6b9ab172cc24c07155410d81ce5b4.camel@gmail.com> <1007lrp$3r388$1@dont-email.me> <0cbe88d46c63af596e4d2ad6a846e61b7efb14bb.camel@gmail.com> <1008fhf$53u$1@dont-email.me> <cd31647abcc33f0978415df34ec2c8d41d886591.camel@gmail.com> |
On 17/05/2025 04:01, wij wrote:
> On Fri, 2025-05-16 at 23:51 +0100, Mike Terry wrote:
>> On 16/05/2025 20:35, wij wrote:
>>> On Fri, 2025-05-16 at 16:33 +0100, Mike Terry wrote:
>>>> On 16/05/2025 12:40, wij wrote:
>>>>> On Fri, 2025-05-16 at 03:26 +0100, Mike Terry wrote:
>>>>>> On 16/05/2025 02:47, wij wrote:
>>>>>>> On Fri, 2025-05-16 at 01:40 +0100, Mike Terry wrote:
>>>>>>>> On 15/05/2025 19:49, wij wrote:
>>>>>>>>> On Thu, 2025-05-15 at 17:08 +0100, Mike Terry wrote:
>>>>>>>>>> On 14/05/2025 18:53, wij wrote:
>>>>>>>>>>> On Wed, 2025-05-14 at 12:24 -0500, olcott wrote:
>>>>>>>>>>>> On 5/14/2025 11:43 AM, wij wrote:
>>>>>>>>>>>>> On Wed, 2025-05-14 at 09:51 -0500, olcott wrote:
>>>>>>>>>>>>>> On 5/14/2025 12:13 AM, wij wrote:
>>>>>>>>>>>>>>> Q: Write a turing machine that performs D function (which calls itself):
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> void D() {
>>>>>>>>>>>>>>> D();
>>>>>>>>>>>>>>> }
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Easy?
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> That is not a TM.
>>>>>>>>>>>>>
>>>>>>>>>>>>> It is a C program that exists. Therefore, there must be a equivalent TM.
>>>>>>>>>>>>>
>>>>>>>>>>>>>> To make a TM that references itself the closest
>>>>>>>>>>>>>> thing is a UTM that simulates its own TM source-code.
>>>>>>>>>>>>>
>>>>>>>>>>>>> How does a UTM simulate its own TM source-code?
>>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> You run a UTM that has its own source-code on its tape.
>>>>>>>>>>>
>>>>>>>>>>> What is exactly the source-code on its tape?
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> Every UTM has some scheme which can be applied to a (TM & input tape) that is to be
>>>>>>>>>> simulated.
>>>>>>>>>> The
>>>>>>>>>> scheme says how to turn the (TM + input tape) into a string of symbols that
>>>>>>>>>> represent
>>>>>>>>>> that
>>>>>>>>>> computation.
>>>>>>>>>>
>>>>>>>>>> So to answer your question, the "source-code on its tape" is the result of applying
>>>>>>>>>> the
>>>>>>>>>> UTM's
>>>>>>>>>> particular scheme to the combination (UTM, input tape) that is to be simulated.
>>>>>>>>>>
>>>>>>>>>> If you're looking for the exact string symbols, obviously you would need to specify
>>>>>>>>>> the
>>>>>>>>>> exact
>>>>>>>>>> UTM
>>>>>>>>>> being used, because every UTM will have a different answer to your question.
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> Mike.
>>>>>>>>>
>>>>>>>>> People used to say UTM can simulate all TM. I was questing such a UTM.
>>>>>>>>> Because you said "Every UTM ...", so what is the source of such UTM?
>>>>>>>>
>>>>>>>> Yes, a UTM can simulate any TM including itself. (Nothing magical changes when a UTM
>>>>>>>> simulates
>>>>>>>> itself, as opposed to some other TM.)
>>>>>>>
>>>>>>> Supposed UTM exists, and denoted as U(X), X denotes the tape contents of the
>>>>>>> encoding of a TM. And, U(X) should function the same like X.
>>>>>>> Given instance U(U(f)), it should function like f from the above definition.
>>>>>>> But, U(U(f)) would fall into a 'self-reference' trap.
>>>>>>
>>>>>> There is no self-reference trap.
>>>>>>
>>>>>> In your notation:
>>>>>>
>>>>>> - f represents some computation.
>>>>>> - U(f) represents U being run with f on its tape.
>>>>>> Note this is itself a computation, distinct from f of course
>>>>>> but having the same behaviour.
>>>>>> - U(U(f)) represents U simulating the previous computation.
>>>>>>
>>>>>> There is no reason U(f) cannot be simulated by U. U will have no knowledge that it is
>>>>>> "simulating
>>>>>> itself", and will just simulate what it is given.
>>>>>>
>>>>>>
>>>>>> Mike.
>>>>>
>>>>> Sorry for not being clear on the UTM issue (I wanted to mean several things in one post).
>>>>> You are right there is no self-reference.
>>>>> I mean 'UTM' is not a complete, qualified TM because the contents of the tape
>>>>> would not be defined. Saying "UTM can simulate any TM" is misleading because
>>>>> no such TM (UTM as TM) exists.
>>>>
>>>> What do you mean "the contents of the tape would not be defined"? A TM is /equipped/ with an
>>>> infinite tape, but the /contents/ of that tape are not a part of that TM's definition.
>>>>
>>>> For example we could build a TM P that decides whether a number is prime. Given a number n, we
>>>> convert n into the input tape representation of n, and run P with that tape as input.
>>>>
>>>> It's essentially no different for UTMs. Such a UTM certainly is a "complete TM", equipped with
>>>> its
>>>> own input tape. Of course we don't know what's on the input tape because nobody has said yet
>>>> what
>>>> computation we are asking it to simulate! [Similarly we don't know what's on P's input tape,
>>>> until
>>>> we know what n we want it to test for primeness.] Once you say what computation you want the
>>>> UTM to
>>>> simulate we can build a tape string to perform that particular simulation. That is the case
>>>> /whatever/ computation we come up with, so it is simply the case [not misleading] that the UTM
>>>> can
>>>> simulate any computation.
>>>>
>>>>
>>>> Mike.
>>>
>>> TM has no I/O mechanism. 'Computation' always means the contents of the tape
>>> is defined (fixed before run).
>>>
>>
>> Correct, and correct.
>>
>> So... What do you mean "the contents of the tape would not be defined"?
>>
>>
>> Mike.
>
> In "UTM simulates itself", denoted as U(U(f)), the f would not be defined.
Eh? The f was something /you/ introduced! You said it represents some computation which UTM U
simulates. How can f suddenly become undefined after you defined it?
Do you mean that f would not be on the input tape for (outer)U? That's not the case at all. In
U(f), the input tape for U contains a representation of f. When (outer)U simulates (inner)U
simulating f, (outer)U's tape contains a representation of computation U(f), which internally
contains the original representation of f. The f is still there and equally well defined in U(U(f)).
I think you would benefit from being more explicit and generally more careful in your notation!
Using notation <P,I> to mean U's input tape representation of "TM P, running with input I":
Your U(f) is U(<fp,fi>) // fp = TM(f), fi=InputTape(f)
Your U(U(f)) is U((<U,<fp,fi>>)
f is still there! It has not become "undefined".
You gloss over the details and become confused - just think it through step by step.
Mike.
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How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-14 13:13 +0800
Re: How to write a self-referencial TM? Richard Heathfield <rjh@cpax.org.uk> - 2025-05-14 07:02 +0100
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-14 09:51 -0500
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-15 00:43 +0800
Re: How to write a self-referencial TM? Richard Heathfield <rjh@cpax.org.uk> - 2025-05-14 18:14 +0100
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-15 01:33 +0800
Re: How to write a self-referencial TM? Richard Heathfield <rjh@cpax.org.uk> - 2025-05-14 18:49 +0100
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-15 02:01 +0800
Re: How to write a self-referencial TM? Richard Heathfield <rjh@cpax.org.uk> - 2025-05-14 19:38 +0100
Re: How to write a self-referencial TM? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-05-14 13:00 -0700
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-14 15:02 -0500
Re: How to write a self-referencial TM? Richard Heathfield <rjh@cpax.org.uk> - 2025-05-14 21:19 +0100
Re: How to write a self-referencial TM? Richard Heathfield <rjh@cpax.org.uk> - 2025-05-14 21:16 +0100
Re: How to write a self-referencial TM? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-05-14 13:49 -0700
Re: How to write a self-referencial TM? Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-14 21:13 +0000
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-15 10:24 +0300
Re: How to write a self-referencial TM? Richard Heathfield <rjh@cpax.org.uk> - 2025-05-14 22:28 +0100
Re: How to write a self-referencial TM? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-05-14 14:40 -0700
Re: How to write a self-referencial TM? Richard Heathfield <rjh@cpax.org.uk> - 2025-05-14 23:02 +0100
Re: How to write a self-referencial TM? Andy Walker <anw@cuboid.co.uk> - 2025-05-15 01:09 +0100
Re: How to write a self-referencial TM? Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-05-14 17:19 -0700
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-15 09:38 +0800
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-15 09:58 +0800
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-15 10:11 +0800
Re: How to write a self-referencial TM? Ben Bacarisse <ben@bsb.me.uk> - 2025-05-15 00:55 +0100
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-15 10:17 +0300
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-14 12:24 -0500
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-15 01:39 +0800
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-14 12:45 -0500
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-15 02:13 +0800
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-15 01:53 +0800
Re: How to write a self-referencial TM? Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-05-15 17:08 +0100
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-15 11:47 -0500
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-16 03:57 +0800
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-15 15:50 -0500
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-16 10:33 +0300
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-16 10:43 -0500
Re: How to write a self-referencial TM? Richard Damon <richard@damon-family.org> - 2025-05-16 12:10 -0400
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-17 11:58 +0300
Re: How to write a self-referencial TM? Richard Damon <richard@damon-family.org> - 2025-05-15 19:37 -0400
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-16 10:27 +0300
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-16 10:40 -0500
Re: How to write a self-referencial TM? "Fred. Zwarts" <F.Zwarts@HetNet.nl> - 2025-05-19 10:21 +0200
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-19 13:39 +0300
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-20 23:41 -0500
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-21 11:47 +0300
Re: How to write a self-referencial TM? Richard Damon <richard@damon-family.org> - 2025-05-21 07:11 -0400
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-16 02:49 +0800
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-15 14:15 -0500
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-16 04:08 +0800
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-16 10:45 +0300
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-16 10:47 -0500
Re: How to write a self-referencial TM? "Fred. Zwarts" <F.Zwarts@HetNet.nl> - 2025-05-16 21:34 +0200
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-16 10:40 +0300
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-16 10:44 -0500
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-17 12:02 +0300
Re: How to write a self-referencial TM? Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-05-16 01:40 +0100
Re: How to write a self-referencial TM? Richard Heathfield <rjh@cpax.org.uk> - 2025-05-16 01:59 +0100
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-16 09:47 +0800
Re: How to write a self-referencial TM? Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-05-16 03:26 +0100
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-16 19:40 +0800
Re: How to write a self-referencial TM? Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-05-16 16:33 +0100
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-17 03:35 +0800
Re: How to write a self-referencial TM? Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-05-16 23:51 +0100
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-17 11:01 +0800
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-16 22:12 -0500
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-17 11:23 +0800
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-16 22:40 -0500
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-17 11:49 +0800
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-16 22:58 -0500
Re: How to write a self-referencial TM? Richard Damon <richard@damon-family.org> - 2025-05-17 09:02 -0400
Re: How to write a self-referencial TM? Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-05-17 15:45 +0100
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-18 03:26 +0800
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-17 14:39 -0500
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-18 11:20 +0300
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-19 04:35 +0800
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-18 15:57 -0500
Re: How to write a self-referencial TM? Richard Damon <richard@damon-family.org> - 2025-05-18 17:45 -0400
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-19 05:46 +0800
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-18 17:09 -0500
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-19 06:35 +0800
Re: How to write a self-referencial TM? Richard Damon <richard@damon-family.org> - 2025-05-18 19:09 -0400
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-19 07:54 +0800
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-19 13:52 +0300
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-19 13:48 +0300
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-20 23:36 -0500
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-21 11:56 +0300
Re: How to write a self-referencial TM? André G. Isaak <agisaak@gm.invalid> - 2025-05-18 15:58 -0600
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-18 17:08 -0500
Re: How to write a self-referencial TM? Richard Damon <richard@damon-family.org> - 2025-05-18 19:19 -0400
Re: How to write a self-referencial TM? André G. Isaak <agisaak@gm.invalid> - 2025-05-18 21:21 -0600
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-18 23:07 -0500
Re: How to write a self-referencial TM? "Fred. Zwarts" <F.Zwarts@HetNet.nl> - 2025-05-19 09:54 +0200
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-19 15:29 +0300
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-20 23:33 -0500
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-21 12:03 +0300
Re: How to write a self-referencial TM? Richard Damon <richard@damon-family.org> - 2025-05-21 07:16 -0400
Re: How to write a self-referencial TM? "Fred. Zwarts" <F.Zwarts@HetNet.nl> - 2025-05-21 21:43 +0200
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-21 14:49 -0500
Re: How to write a self-referencial TM? "Fred. Zwarts" <F.Zwarts@HetNet.nl> - 2025-05-23 13:03 +0200
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-19 13:44 +0300
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-19 13:41 +0300
Re: How to write a self-referencial TM? Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-05-17 20:46 +0100
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-17 14:55 -0500
Re: How to write a self-referencial TM? Richard Damon <richard@damon-family.org> - 2025-05-17 16:07 -0400
Re: How to write a self-referencial TM? Andy Walker <anw@cuboid.co.uk> - 2025-05-16 12:22 +0100
Re: How to write a self-referencial TM? Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-05-16 16:57 +0100
Re: How to write a self-referencial TM? Andy Walker <anw@cuboid.co.uk> - 2025-05-16 21:04 +0100
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-16 15:38 -0500
Re: How to write a self-referencial TM? wij <wyniijj5@gmail.com> - 2025-05-17 05:21 +0800
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-16 16:40 -0500
Re: How to write a self-referencial TM? Richard Damon <richard@damon-family.org> - 2025-05-16 20:32 -0400
Re: How to write a self-referencial TM? Richard Damon <richard@damon-family.org> - 2025-05-16 17:59 -0400
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-16 10:24 +0300
Re: How to write a self-referencial TM? olcott <polcott333@gmail.com> - 2025-05-16 10:37 -0500
Re: How to write a self-referencial TM? Mikko <mikko.levanto@iki.fi> - 2025-05-15 10:07 +0300
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