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Path: ...!2.eu.feeder.erje.net!3.eu.feeder.erje.net!feeder.erje.net!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 --Categorically Exhaustive Reasoning-- Date: Fri, 15 Mar 2024 22:29:19 -0500 Organization: A noiseless patient Spider Lines: 34 Message-ID: <ut33mf$2n0uu$3@dont-email.me> References: <ut1sgk$2buev$2@dont-email.me> <ut20uf$1vtvi$1@i2pn2.org> <ut21t3$2d19j$1@dont-email.me> <ut24j0$2dnbk$2@dont-email.me> <ut24kj$2djbv$5@dont-email.me> <ut24vk$2dnvv$1@dont-email.me> <kQGdnWqR-4ZXRmn4nZ2dnZfqnPadnZ2d@brightview.co.uk> <ut2qb5$2i02l$1@dont-email.me> <Zu6JN.446810$Ama9.86698@fx12.iad> <ut2vi0$2isof$1@dont-email.me> <ut330a$2n598$5@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 16 Mar 2024 03:29:20 -0000 (UTC) Injection-Info: dont-email.me; posting-host="3fab022aa6617bd72f29c84b8d0d5aa2"; logging-data="2851806"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19yZpcS13gWnmBhkw2sSjZq" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:1TCn6w918CnoK+O3G9EXJBzJ8Bw= In-Reply-To: <ut330a$2n598$5@dont-email.me> Content-Language: en-US Bytes: 2542 On 3/15/2024 10:17 PM, immibis wrote: > On 16/03/24 03:18, olcott wrote: >> It means that every H(D,D) that correctly determines by a partial >> simulation of its input: "H correctly simulates its input D until" >> that "D would never stop running unless aborted" that this H(D,D) >> <is> necessarily correct. > > And what does that mean? >> >>> saying non-halting as it now is looking at a TOTALLY new set of input. >>> >>> You don't seem very "Exhaustive" in your reasoning. >>> >> >> // The categorically exhaustive part >> For every H(D,D) of the infinite set of encodings of H >> that simulate their input > > And what does that mean? > I am trying to make my words as clear as possible so reviews like this one are very helpful. There cannot possibly exist any H(D,D) that is called by D where H(D,D) simulates its input and D(D) stops running and H never aborts its simulation. > > > > *no D(D) ever stops running unless aborted by H* -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer