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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: wij <wyniijj5@gmail.com> Newsgroups: comp.theory Subject: Re: How to write a self-referencial TM? Date: Fri, 16 May 2025 04:08:54 +0800 Organization: A noiseless patient Spider Lines: 91 Message-ID: <fc1c33876fb2863cf4b3976a243042e11b8529cc.camel@gmail.com> References: <1e4f1a15826e67e7faf7a3c2104d09e9dadc6f06.camel@gmail.com> <1002akp$2i4bk$2@dont-email.me> <479eebef3bd93e82c8fe363908b254b11d15a799.camel@gmail.com> <1002jkk$2k00a$3@dont-email.me> <05e306f20fcb7c88c497e353aaecd36b30fc752a.camel@gmail.com> <10053hb$3759k$1@dont-email.me> <879b3c552bad9da9885e41a298b570c92bef1aaf.camel@gmail.com> <1005egk$39app$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable Injection-Date: Thu, 15 May 2025 22:08:57 +0200 (CEST) Injection-Info: dont-email.me; posting-host="b7c2e7cb48bac1670f833664c84ad09e"; logging-data="3442297"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18SfzcgLMvyOciWiHKsrFC5" User-Agent: Evolution 3.54.3 (3.54.3-1.fc41) Cancel-Lock: sha1:fmq5HWSF/vy9Td+H+xeNpsCxOj4= In-Reply-To: <1005egk$39app$1@dont-email.me> Bytes: 4555 On Thu, 2025-05-15 at 14:15 -0500, olcott wrote: > On 5/15/2025 1:49 PM, 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 c= alls itself): > > > > > > > >=20 > > > > > > > > void D() { > > > > > > > > =C2=A0=C2=A0=C2=A0=C2=A0 D(); > > > > > > > > } > > > > > > > >=20 > > > > > > > > Easy? > > > > > > > >=20 > > > > > > > >=20 > > > > > > >=20 > > > > > > > That is not a TM. > > > > > >=20 > > > > > > It is a C program that exists. Therefore, there must be a equiv= alent TM. > > > > > >=20 > > > > > > > To make a TM that references itself the closest > > > > > > > thing is a UTM that simulates its own TM source-code. > > > > > >=20 > > > > > > How does a UTM simulate its own TM source-code? > > > > > >=20 > > > > >=20 > > > > > You run a UTM that has its own source-code on its tape. > > > >=20 > > > > What is exactly the source-code on its tape? > > > >=20 > > >=20 > > > Every UTM has some scheme which can be applied to a (TM & input tape)= that is to be simulated.=C2=A0 > > > The > > > scheme says how to turn the (TM + input tape) into a string of symbol= s that represent that > > > computation. > > >=20 > > > So to answer your question, the "source-code on its tape" is the resu= lt of applying the UTM's > > > particular scheme to the combination (UTM, input tape) that is to be = simulated. > > >=20 > > > If you're looking for the exact string symbols, obviously you would n= eed to specify the exact > > > UTM > > > being used, because every UTM will have a different answer to your qu= estion. > > >=20 > > >=20 > > > Mike. > >=20 > > 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? > >=20 > >=20 >=20 > The TM description language is more accurately > referred to as the TM specification language. >=20 > A UTM is a hypothetical thing that is specified > to have some source source-code that it operates > on yet none of the details of this are ever > fully elaborated. >=20 > That is why I needed to use the x86 language > as a fully specified proxy. With my x86utm > operating system we make a 100% concrete > simulating termination analyzer such that > zero of the details are "abstracted away". >=20 > It is the details that have been "abstracted away" > by the abstractions that cause the conventional > halting problem proofs to be insufficiently > understood. Unfortunely, refuting HP suggests halting decider is a real thing. Proving by "abstracted away" the real part? > Mike says that I am not smart enough to understand > abstract thought. The truth is that I am smart enough > to find that the abstract thought > "abstracts away" key details that lead to > misunderstandings. I feel you are good in a debate game for rebuttal.