Path: ...!weretis.net!feeder9.news.weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Fred. Zwarts" Newsgroups: comp.theory Subject: Re: Two dozen people were simply wrong --- Date: Sun, 2 Jun 2024 20:36:09 +0200 Organization: A noiseless patient Spider Lines: 77 Message-ID: References: MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 02 Jun 2024 20:36:10 +0200 (CEST) Injection-Info: dont-email.me; posting-host="7b2dfb52a2545f32ded9b03629a80d37"; logging-data="3642419"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+2etvphKCnTaJkQIvYTUFA" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:hlKWc8QbwGyl1H0Ye8dIgDYZdKg= In-Reply-To: Content-Language: en-GB Bytes: 5342 Op 02.jun.2024 om 20:08 schreef olcott: > On 6/2/2024 12:55 PM, joes wrote: >> Am Sun, 02 Jun 2024 10:02:54 -0500 schrieb olcott: >>> On 6/2/2024 4:36 AM, joes wrote: >>>> Am Sat, 01 Jun 2024 17:37:28 -0500 schrieb olcott: >>>>> On 6/1/2024 5:30 PM, Richard Damon wrote: >>>>>> On 6/1/24 5:27 PM, olcott wrote: >>>>>>> On 6/1/2024 4:15 PM, Richard Damon wrote: >>>>>>>> On 6/1/24 4:35 PM, olcott wrote: >>>>>>>>> On 6/1/2024 3:29 PM, Richard Damon wrote: >>>>>>>>>> On 6/1/24 12:46 PM, olcott wrote: >>>>>>>>>>> On 6/1/2024 11:33 AM, Richard Damon wrote: >>>>>>>>>>>> On 6/1/24 12:18 PM, olcott wrote: >>>>>>>>>>>>> On 6/1/2024 11:08 AM, Richard Damon wrote: >>>>>>>>>>>>>> On 6/1/24 11:58 AM, olcott wrote: >>>>>>>>>>>>>>> On 6/1/2024 10:46 AM, Richard Damon wrote: >>>>>>>>>>>>>>>> On 6/1/24 10:00 AM, olcott wrote: >>>> >>>>>>> Every DD correctly simulated by any HH of the infinite set of HH/DD >>>>>>> pairs that match the above template never reaches past its own >>>>>>> simulated line 03 in 1 to ∞ steps of correct simulation of DD by HH. >>>>>> >>>>>> But since the simulation was aborted, >>>>> >>>>> *The above never mentions anything about any simulation being aborted* >>>> Not simulating an infinite number of steps of infinite recursion is >>>> incorrect. You always forget this requirement: the simulation must be >>>> complete. >>> >>> When HH correctly simulates N steps of DD it is incorrect to say that >>> these N steps were incorrectly simulated. >> The simulation is incorrect if it stops at that point and the simulated >> machine is not in a final state, even if it was correct up to that point. >> It also matters what steps where simulated, not only if each was correct. >> > > Introduction to the Theory of Computation, by Michael Sipser > https://www.amazon.com/Introduction-Theory-Computation-Michael-Sipser/dp/113318779X/ > > On 10/13/2022 11:29:23 AM > MIT Professor Michael Sipser agreed that this verbatim paragraph is correct > (He has neither reviewed nor agreed to anything else in this paper) > > > If simulating halt decider H correctly simulates its input D until H > correctly determines that its simulated D would never stop running > unless aborted then > > H can abort its simulation of D and correctly report that D specifies a > non-halting sequence of configurations. > > > >>>> What are the sets of HH and DD? I thought they were concrete machines. >>>> >>> The infinite set of every HH/DD pair where HH correctly simulates 1 or >>> more steps of DD is the infinite set that I am referring to. >> I see only a single DD. All H that stop simulating D before it reaches a >> final state are already wrong. >> > > There are an infinite number of different HH/DD pairs specified by that > template. One class of them simulates N steps and one class of them > simulates ∞ steps. Some of them play a game of bingo before simulating > any steps. Some of them play a game of chess after simulating N steps. > > *IN NONE OF THESE CASES DOES DD CORRECTLY SIMULATED BY HH HALT* > Similarly: *IN NONE OF THESE CASES DOES HH CORRECTLY SIMULATED BY HH HALT* -- Paradoxes in the relation between Creator and creature. .