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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: HHH maps its input to the behavior specified by it --- never reaches its halt state --- Date: Wed, 14 Aug 2024 08:47:16 -0500 Organization: A noiseless patient Spider Lines: 123 Message-ID: <v9ich5$f16v$7@dont-email.me> References: <v8jh7m$30k55$1@dont-email.me> <cbde765b8f9e769930b6c8589556907a41d9c256@i2pn2.org> <v8lm80$3h8m2$3@dont-email.me> <v8n6mq$3tv07$3@dont-email.me> <v8o14v$30uf$1@dont-email.me> <950d4eed7965040e841a970d48d5b6f417ff43dc@i2pn2.org> <v8oj1n$6kik$3@dont-email.me> <v8pvke$ih0a$1@dont-email.me> <4-qdnbdw1JzlRS37nZ2dnZfqlJydnZ2d@giganews.com> <v8v7p3$29r2r$1@dont-email.me> <v8vub1$32fso$14@dont-email.me> <1e1fa9bc4bbc00aa65c1a7974bd1bda87687c92b@i2pn2.org> <v90di8$38oni$1@dont-email.me> <47a76378d634bf0db4017f879d0160793b57125e@i2pn2.org> <v9161o$3gaju$1@dont-email.me> <b84374e766c199e1ba38ef1dc3bc8f6ab2c39dfc@i2pn2.org> <v91i97$3n4m0$1@dont-email.me> <v91unh$3rbor$1@dont-email.me> <v92gja$p1$3@dont-email.me> <v94m0l$ljf4$1@dont-email.me> <v95ae9$p5rb$1@dont-email.me> <v978dv$h1ib$1@dont-email.me> <v97j0q$ilah$2@dont-email.me> <v99lpd$25ri3$1@dont-email.me> <v9a88e$2923f$2@dont-email.me> <v9fer8$3rv02$1@dont-email.me> <v9fmkv$3ta4u$1@dont-email.me> <v9hn2f$ca0f$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 14 Aug 2024 15:47:17 +0200 (CEST) Injection-Info: dont-email.me; posting-host="0b9b77ee625b8578b747fee4cc5a1452"; logging-data="492767"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+uUsdzHW6R3Jg6sZvWc5wG" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:DOphcHVzwnGU5oKrTRY92PGGees= Content-Language: en-US In-Reply-To: <v9hn2f$ca0f$1@dont-email.me> Bytes: 6539 On 8/14/2024 2:41 AM, Mikko wrote: > On 2024-08-13 13:21:32 +0000, olcott said: > >> On 8/13/2024 6:08 AM, Mikko wrote: >>> On 2024-08-11 11:45:18 +0000, olcott said: >>> >>>> On 8/11/2024 1:30 AM, Mikko wrote: >>>>> On 2024-08-10 11:30:34 +0000, olcott said: >>>>> >>>>>> On 8/10/2024 3:29 AM, Mikko wrote: >>>>>>> On 2024-08-09 14:51:51 +0000, olcott said: >>>>>>> >>>>>>>> On 8/9/2024 4:03 AM, Mikko wrote: >>>>>>>>> On 2024-08-08 13:18:34 +0000, olcott said: >>>>>>>>> >>>>>>>>>> void DDD() >>>>>>>>>> { >>>>>>>>>> HHH(DDD); >>>>>>>>>> return; >>>>>>>>>> } >>>>>>>>>> >>>>>>>>>> Each HHH of every HHH that can possibly exist definitely >>>>>>>>>> *emulates zero to infinity instructions correctly* In >>>>>>>>>> none of these cases does the emulated DDD ever reach >>>>>>>>>> its "return" instruction halt state. >>>>>>>>> >>>>>>>>> The ranges of "each HHH" and "every HHH" are not defined above >>>>>>>>> so that does not really mean anything. >>>>>>>> >>>>>>>> Here is something that literally does not mean anything: >>>>>>>> "0i34ine ir m0945r (*&ubYU I*(ubn)I*054 gfdpodf[" >>>>>>> >>>>>>> Looks like encrypted text that might mean something. >>>>>>> >>>>>>>> "Colorless green ideas sleep furiously" >>>>>>> >>>>>>> This could be encrypted text, too, or perhaps refers to some >>>>>>> inside knowledge or convention. >>>>>>> >>>>>>>> I defined an infinite set of HHH x86 emulators. >>>>>>> >>>>>>> Maybe somewnete but not in the message I commented. >>>>>>> >>>>>>>> I stipulated that each member of this set emulates >>>>>>>> zero to infinity instructions of DDD. >>>>>>> >>>>>>> That doesn't restrict much. >>>>>>> >>>>>>>> *I can't say it this way without losing 90% of my audience* >>>>>>>> Each element of this set is mapped to one element of the >>>>>>>> set of non-negative integers indicating the number of >>>>>>>> x86 instructions of DDD that it emulates. >>>>>>> >>>>>>> It is easier to talk about mapping if is given a name. >>>>>>> >>>>>>>> *This one seems to be good* >>>>>>>> Each element of this set corresponds to one element of >>>>>>>> the set of positive integers indicating the number of >>>>>>>> x86 instructions of DDD that it emulates. >>>>>>> >>>>>>> That would mean that only a finite number (possibly zero) of >>>>>>> instructions is emulated. But the restriction to DDD does not >>>>>>> seem reasonable. >>>>>>> >>>>>> >>>>>> *The set of HHH x86 emulators are defined such that* >>>>>> >>>>>> Each element of this set corresponds to one element of >>>>>> the set of positive integers indicating the number of >>>>>> x86 instructions of DDD that it correctly emulates. >>>>> >>>>> As we onece observed, this would be clearer with incdices. >>>>> No journal woth of consideration will accept an article >>>>> that uses the same name for a specific program and a set. >>>>> >>>>> >>>> >>>> void DDD() >>>> { >>>> HHH(DDD); >>>> return; >>>> } >>>> >>>> None-the-less it is clear that of the above specified infinite >>>> set DDD correctly emulated by each element of that set never >>>> reaches its own "return" instruction halt state. >>> >>> To emulate an infinite set of DDD by infintely manu emulators >>> is too much to actually do. However, one may pick a HHHᵤ and >>> DDDᵥ so that HHHᵤ(DDDᵥ) correctly determines that DDDᵥ halts. >> >> Through something like mathematical induction we can directly >> see that DDD correctly emulated by any HHH cannot possibly >> reach its "return" instruction final halt state. > > No, we don't see, at least as long as you don't show. > _DDD() [00002172] 55 push ebp ; housekeeping [00002173] 8bec mov ebp,esp ; housekeeping [00002175] 6872210000 push 00002172 ; push DDD [0000217a] e853f4ffff call 000015d2 ; call HHH(DDD) [0000217f] 83c404 add esp,+04 [00002182] 5d pop ebp [00002183] c3 ret Size in bytes:(0018) [00002183] The impossibility of DDD emulated by HHH (according to the semantics of the x86 language) to reach its own machine address [00002183] is compete proof. We don't even need an actual HHH we only need to imagine that HHH is a pure x86 emulator and then anyone with sufficient expertise in the x86 language can see that DDD correctly emulated by HHH never reaches machine address [00002183]. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer