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Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: comp.theory Subject: Re: How Partial Simulations correctly determine non-halting ---Mike Terry Error Date: Tue, 4 Jun 2024 21:48:40 -0400 Organization: i2pn2 (i2pn.org) Message-ID: <v3og5o$328ec$8@i2pn2.org> References: <v3j20v$3gm10$2@dont-email.me> <J_CdnTaA96jxpcD7nZ2dnZfqnPudnZ2d@brightview.co.uk> <87h6eamkgf.fsf@bsb.me.uk> <v3kcdj$3stk9$1@dont-email.me> <v3l7uo$13cp$8@dont-email.me> <v3lcat$228t$3@dont-email.me> <v3mq9j$chc3$1@dont-email.me> <v3mrli$chc4$1@dont-email.me> <_gWdnbwuZPJP2sL7nZ2dnZfqn_GdnZ2d@brightview.co.uk> <v3nkqr$h7f9$3@dont-email.me> <v3o0ph$31rmn$1@i2pn2.org> <v3o3og$jm9q$2@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 5 Jun 2024 01:48:40 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="3219916"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird Content-Language: en-US X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: <v3o3og$jm9q$2@dont-email.me> Bytes: 4697 Lines: 82 On 6/4/24 6:16 PM, olcott wrote: > On 6/4/2024 4:26 PM, joes wrote: >> Am Tue, 04 Jun 2024 13:02:03 -0500 schrieb olcott: >>> On 6/4/2024 11:58 AM, Mike Terry wrote: >>>> On 04/06/2024 11:52, Fred. Zwarts wrote: >>>>> Op 04.jun.2024 om 12:29 schreef Fred. Zwarts: >>>>>> Op 03.jun.2024 om 23:24 schreef olcott: >>>>>>> On 6/3/2024 3:09 PM, Fred. Zwarts wrote: >>>>>>>> Op 03.jun.2024 om 14:20 schreef olcott: >>>>>>>>> On 6/3/2024 4:42 AM, Ben Bacarisse wrote: >>>>>>>>>> Mike Terry <news.dead.person.stones@darjeeling.plus.com> writes: >>>>>>>>>> >>>>>>>>> *DD correctly simulated by HH would never stop running unless >>>>>>>>> aborted* >>>>>>>>> *We can see that the following DD cannot possibly halt when* >>>>>>>>> *correctly simulated by every HH that can possibly exist* >>>>>>>> >>>>>>>> It is very clear that if the simulated HH would halt, then DD would >>>>>>>> halt. So your claim comes down to HH not halting when simulating >>>>>>>> itself. >>>>>>>> >>>>>>> Mike Terry replied to this and explained it correctly as reply >>>>>>> directly to you On 6/3/2024 12:36 PM, Mike Terry wrote: >>>>>>> >>>>>>> http://al.howardknight.net/? >> STYPE=msgid&MSGI=%3CHlGdnbvc3Ly_YsD7nZ2dnZfqn_adnZ2d%40brightview.co.uk%3E >>>>>>> >>>>>>> >>>>>> He says that there is no infinite recursion, because the simulation >>>>>> is aborted. >>>>>> If you want to interpret his reply in this way, >>>> >>>> Yes, that's my intended meaning >>>> >>>>> then it also shows that neither HH, nor DD are >>>>>> involved in a recursive recursion. This implies >>>>> >>>>> That should be: ... are involved in an infinite recursion, because the >>>>> simulation was aborted, >>>> >>>> Yes. (There is finite recursive simulation, i.e. H partially simulates >>>> H etc..) >>>> >>>>> which implies ... >>>>> >>>>>> that none of them reaches their final state. >>>> >>>> None of their /simulations by H/ reach their final state. Obviously >>>> there's a huge distinction between the abstract concept of a >>>> computation/halting, and a partial simulation of that computation by >>>> some other program, and I'm surprised anyone (not you specifically) >>>> tolerates confusion on that point. >>>> >>>> Suppose P(I) is some computation that halts after 13422 steps. Clearly >>>> a partial simulation of P(I) by H could be abandoned ("aborted") after >>>> 8333 steps. So the /partial simulation by H/ "does not halt", but the >>>> computation P(I) of course halts. >>>> >>>> I'm not trying to suggest that considering the "halting" behaviour of a >>>> partial simulation by a specific program is a /useful/ thing to be >>>> looking at, but none the less that is what PO is doing... >>>> >>> The meaning of these words prove that I am correct about how partial >>> simulations correctly determine the halt status of their non-halting >>> inputs. >>> <Professor Sipser agreed> >>> </Professor Sipser agreed> >> >> You completely missed the point. The simulator absolutely can keep track >> of repeating states; it just can't halt if its input doesn't, > > You don't seem to know the first thing about deciders, in that > they must always halt. Yes, and they must give the answer to the actual question they are supposed to be answering. > >> because that >> is a difference in behaviour which it is not allowed to have. >> >