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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: olcott <polcott2@gmail.com> Newsgroups: comp.theory,sci.logic Subject: Re: Proof that H(D,D) meets its abort criteria --induction criteria-- Date: Wed, 20 Mar 2024 13:35:15 -0500 Organization: A noiseless patient Spider Lines: 138 Message-ID: <utfa95$1l0lp$1@dont-email.me> References: <ut1sgk$2buev$2@dont-email.me> <ut6q6q$3hh79$3@dont-email.me> <ut79og$3knkh$6@dont-email.me> <ut7u85$3peut$3@dont-email.me> <ut899e$27bqa$4@i2pn2.org> <ut8bji$3vipc$3@dont-email.me> <ut8cju$27bqa$8@i2pn2.org> <ut8e9k$8nr$1@dont-email.me> <ut8gic$27bqb$9@i2pn2.org> <ut8go9$l2l$2@dont-email.me> <ut8ide$27bqb$10@i2pn2.org> <ut8j23$t3b$3@dont-email.me> <ut8lhu$27bqa$10@i2pn2.org> <ut9k08$7i77$1@dont-email.me> <ut9li5$7pdg$1@dont-email.me> <ut9ufd$9qc8$2@dont-email.me> <uta5j7$b8d6$1@dont-email.me> <uta7n9$c11s$1@dont-email.me> <uta88f$c3ln$1@dont-email.me> <uta8rr$c91o$1@dont-email.me> <utaam1$ckrm$1@dont-email.me> <utab3j$cn6l$2@dont-email.me> <utac8g$csl0$1@dont-email.me> <utacqt$d328$1@dont-email.me> <utau6c$2b09e$10@i2pn2.org> <utb28m$ksn2$1@dont-email.me> <utb40e$2be23$1@i2pn2.org> <utb4pf$lati$1@dont-email.me> <utciqf$uvmo$1@dont-email.me> <utcklk$v0lj$7@dont-email.me> <utf1so$2gfo0$1@i2pn2.org> <utf2sl$1j44f$1@dont-email.me> <utf907$2gfnv$3@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 20 Mar 2024 18:35:17 -0000 (UTC) Injection-Info: dont-email.me; posting-host="cd243b087f0ff467eeb7e8496efe134c"; logging-data="1737401"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX184KSkGc6fN4A9buO9uJHIT" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:LtoJbtz62aP1YrlYorIJ+2ZUh5M= In-Reply-To: <utf907$2gfnv$3@i2pn2.org> Content-Language: en-US Bytes: 6871 On 3/20/2024 1:13 PM, Richard Damon wrote: > On 3/20/24 12:29 PM, olcott wrote: >> On 3/20/2024 11:12 AM, Richard Damon wrote: >>> On 3/19/24 2:14 PM, olcott wrote: >>>> On 3/19/2024 12:42 PM, immibis wrote: >>>>> On 19/03/24 05:37, olcott wrote: >>>>>> You are just getting nutty now. You are tossing out the sequence, >>>>>> selection, iteration model of computation. >>>>> >>>>> aren't you tossing out the turing machine model of computation? >>>>> >>>> >>>> I am only tossing out the halting problem specification. >>>> I am not saying (like Richard is saying) that sequential >>>> code can be executed out-of-sequence. >>>> >>> >>> Just more of your lies. >>> >>> Where did I say "Sequential Code" can run out-of-sequence. >>> >>> >>> THe codes that I talk about not being in the sequence you think are >>> two INDEPENDENT copies of the machines. >>> >> >> The one that is called first is executed first. > > And I never denied that. > > But H(D,D) doesn't "Call" D(D), it simulates it. > Thus the steps of D(D) simulated by H come after H(D,D) is executed, they do not occur in parallel at the same time. > The D(D) that it simulates is a machine that has already been "run", > since Turing Machines are FULL computation devices that run their > procesisng as soon as they are created. > In some strawman deception argument the steps of D(D) come before H(D,D) is executed. > This seems something you don't understand, because you seem to think > that D(D) doesn't actually "run" until it is simulated. > The steps of the simulated D(D) are never run, they are only simulated. In a strawman deception argument the steps of D(D) are executed before the steps of H(D,D). >> >>> The H that is deciding the D(D) does not enforce that the ACTUAL D(D) >>> it is simulating has not been run yet, and in fact, since we can >>> consider Turing Machines to "auto-start" once created, it is >>> IMPOSSIBLE to give to H a description of a D(D) that has not already >>> run itself. >>> >> The one that is called first is executed first. > > So? > You tried to get away with saying otherwise. > Where does H call D(D)? It SIMULATES it. > > You seem to think that simulation is the exact same thing as EXECUTION. > >> >> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts >> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn // Ĥ applied to ⟨Ĥ⟩ does not halt >> >> Ĥ ⟨Ĥ⟩ is executed before Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ thus the executed Ĥ ⟨Ĥ⟩ is >> run before the simulated one. When Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ simulates its input >> it can see that it must abort this simulation. > > Yes H^ (H^) is executed before H^.H (H^) (H^) but the instance of the > machine represented by that input was executed when it was created, so > has already run. > Unless you are trying to get away with rejecting the sequence of sequence, selection, iteration you already know that Ĥ ⟨Ĥ⟩ is always executed before Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩. > Again, you are confusing the simulation that H, or H^.H does, with the > axtual execution of them. > > You could even look at the simulation of H^.H as telling H part of what > this H^ (H^) has alteady done. > > >> >>> We, as finite humans may not know what it did, but the mathematical >>> world of truth does. >>> >> >> Mathematical induction proves that after N steps of correct simulation >> H correctly determines that ∞ steps of correct simulation would never >> halt. *These are verified facts that you perpetually deny* > > NOPE. > > STATE YOUR INDUCTION CRITERIA and their proof > As soon as H(D,D) sees that D calls itself with its same inputs and there are no conditional branch instructions from the beginning of D to its call to H(D,D) then H knows that its simulated D(D) cannot possibly reach its own final instruction (at line 06) in any finite number of steps of correct simulation. >> >> At least you finally understand how H(D,D) != H1(D,D) after two >> years of failing to examine my proof that I was correct all along. > > Only because you finally admitted that H1 was a different computation, > and thus represent a different Turing Machine than H. > You simply refused to look at the one page proof that I was correct all along. At the time I thought that you had looked at it and simply denied the easily verified facts. At the time this reasonable assumption did justify me calling you a liar. >> >>> You can't seem to comprehend that world, because you seem to like to >>> live in your world of LIES. >> > In retrospect is looks like neither one of us are liars. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer