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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: olcott <polcott333@gmail.com> Newsgroups: comp.theory Subject: Re: Every D(D) simulated by H presents non-halting behavior to H ### Date: Wed, 29 May 2024 08:17:31 -0500 Organization: A noiseless patient Spider Lines: 121 Message-ID: <v379tc$159q4$3@dont-email.me> References: <v18e32$1vbql$1@dont-email.me> <v1vc8j$3jmr$1@dont-email.me> <v1vsru$7eqc$1@dont-email.me> <v21r4i$otc2$2@dont-email.me> <v22k4b$umr4$1@dont-email.me> <v24oah$1h4u3$1@dont-email.me> <v256fc$1kais$1@dont-email.me> <v27d05$25ga0$1@dont-email.me> <v2838r$29rd7$1@dont-email.me> <v2a8th$2ps09$1@dont-email.me> <v2ahqc$2qvr9$1@dont-email.me> <v2cb5s$39fvg$1@dont-email.me> <v2crk0$3cifp$1@dont-email.me> <v2cvuo$3dfkm$1@dont-email.me> <v2i921$jvcs$5@dont-email.me> <v2k7fe$12vjm$1@dont-email.me> <v2l0q8$17mu1$1@dont-email.me> <v2n4f7$1ms87$1@dont-email.me> <v2nfma$1or9h$4@dont-email.me> <v2pkqq$28mg0$1@dont-email.me> <v2qhr2$2dpfr$6@dont-email.me> <v2s6kk$2q0pf$1@dont-email.me> <v2skde$2s65h$1@dont-email.me> <v2uthd$3bjch$1@dont-email.me> <v2vdkp$3dtct$3@dont-email.me> <v2vned$3fl3r$1@dont-email.me> <v2vp8f$3g0m3$1@dont-email.me> <v31f7s$3ukf5$1@dont-email.me> <v3236b$29pd$1@dont-email.me> <v340en$gbvn$1@dont-email.me> <v34q6t$krgu$1@dont-email.me> <v36ra1$12u78$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 29 May 2024 15:17:32 +0200 (CEST) Injection-Info: dont-email.me; posting-host="b7a5feb561e035e50c2e5bc5a99a467f"; logging-data="1222468"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/f2SLvcBBMUP7a8VT4yiTu" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:f52lCto67Lc8n1wqD5FsGPEcWcM= In-Reply-To: <v36ra1$12u78$1@dont-email.me> Content-Language: en-US Bytes: 6470 On 5/29/2024 4:08 AM, Mikko wrote: > On 2024-05-28 14:37:15 +0000, olcott said: > >> On 5/28/2024 2:17 AM, Mikko wrote: >>> On 2024-05-27 13:52:09 +0000, olcott said: >>> >>>> On 5/27/2024 3:11 AM, Mikko wrote: >>>>> On 2024-05-26 16:50:21 +0000, olcott said: >>>>> >>>> >>>> <snip> >>>> So that: *Usenet Article Lookup* >>>> http://al.howardknight.net/ >>>> can see the whole message now that >>>> *the Thai spammer killed Google Groups* >>>> >>>> typedef int (*ptr)(); // ptr is pointer to int function in C >>>> 00 int H(ptr p, ptr i); >>>> 01 int D(ptr p) >>>> 02 { >>>> 03 int Halt_Status = H(p, p); >>>> 04 if (Halt_Status) >>>> 05 HERE: goto HERE; >>>> 06 return Halt_Status; >>>> 07 } >>>> 08 >>>> 09 int main() >>>> 10 { >>>> 11 H(D,D); >>>> 12 return 0; >>>> 13 } >>>> >>>>>> When we see that D correctly simulated by pure simulator H would >>>>>> remain >>>>>> stuck in recursive simulation then we also know that D never >>>>>> reaches its >>>>>> own line 06 and halts in less than an infinite number of correctly >>>>>> simulated steps. >>>>> >>>>> Which means that H never terminates. You said that by your definition >>>>> a function that never terminates is not a pure function. Therefore >>>>> H, if it exists, is not a pure function, and the phrase "pure function >>>>> H" does not denote. >>>> >>>> *I should have said that more clearly* >>>> *That is why I need reviewers* >>> >>> What is said here has little significance. You should ask reviewer's >>> comments about your working draft that you maintain in GitHub or some >>> other web site. And you should update that draft when a reviewer finds >>> some something wrong or unclear. >>> >>>> *This is STEP ONE of my four step proof* >>>> STEP TWO applies these same ideas to the Peter Linz HP proof. >>>> STEP THREE shows how the Linz Ĥ.H sees the behavior of its recursive >>>> simulations. >>>> STEP FOUR shows why the behavior of the INPUT is the correct basis. >>> >>> When discussing individual steps of a proof draft you shold start >>> at the last step. >> >> I have been at this for twenty years. >> Ben Bacarisse has spoken with me for 15 of those years. >> >> What I found out is that exactly one point of one step >> must be pursued until complete closure of that one point >> of that one step. > > How long do you think it takes to cover them all, starting > from the first? > > How long do you think it would take, starting from the last? > The first point was closed in less than one hour with each of four people that were not playing head games. typedef int (*ptr)(); // ptr is pointer to int function in C 00 int H(ptr p, ptr i); 01 int D(ptr p) 02 { 03 int Halt_Status = H(p, p); 04 if (Halt_Status) 05 HERE: goto HERE; 06 return Halt_Status; 07 } 08 09 int main() 10 { 11 H(D,D); 12 return 0; 13 } The above template refers to an infinite set of H/D pairs where D is correctly simulated by either pure simulator H or pure function H. This was done because many reviewers used the shell game ploy to endlessly switch which H/D pair was being referred to. H correctly simulates 1 to ∞ steps of D with either pure function H or pure simulator H. In none of these cases does the correctly simulated D ever reach its own simulated final state and halt. Correct Simulation Defined This is provided because many reviewers had a different notion of correct simulation that diverges from this notion. A simulator is an x86 emulator that correctly emulates 1 to N of the x86 instructions of D in the order specified by the x86 instructions of D. This may include M recursive emulations of H emulating itself emulating D. When we see that D correctly simulated by pure simulator H would remain stuck in infinite recursive simulation then we also know that less than an infinite number of steps is not enough steps for D correctly simulated by pure function H to reach its own simulated final state at line 06 and halt. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer