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Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: olcott <polcott333@gmail.com> Newsgroups: comp.theory Subject: =?UTF-8?Q?Re=3A_Flibble=E2=80=99s_Leap=3A_Why_Behavioral_Divergence?= =?UTF-8?Q?_Implies_a_Type_Distinction_in_the_Halting_Problem?= Date: Sun, 11 May 2025 12:14:49 -0500 Organization: A noiseless patient Spider Lines: 23 Message-ID: <vvqlu9$gldn$17@dont-email.me> References: <vv1UP.77894$JJT6.54808@fx16.ams4> <vvqd4u$g8a1$1@dont-email.me> <7N2UP.527443$wBt6.464256@fx15.ams4> <vvqfgq$gmmk$1@dont-email.me> <os3UP.670056$BFJ.223954@fx13.ams4> <vvqgpt$gmmk$4@dont-email.me> <aG3UP.366972$wBVe.321504@fx06.ams4> <vvqhaj$gldn$6@dont-email.me> <bV3UP.101097$0ia.1168@fx11.ams4> <vvqkff$gldn$13@dont-email.me> <vvqkoa$h4nm$5@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 11 May 2025 19:14:50 +0200 (CEST) Injection-Info: dont-email.me; posting-host="ef7faca461217fa132b1f53eef89d0be"; logging-data="546231"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19foLs5a3jXU2SbUINFfjD2" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:tqtzcbqiqJmygvsoECkCFu75sEw= Content-Language: en-US X-Antivirus: Norton (VPS 250511-4, 5/11/2025), Outbound message In-Reply-To: <vvqkoa$h4nm$5@dont-email.me> X-Antivirus-Status: Clean Bytes: 2451 On 5/11/2025 11:54 AM, dbush wrote: > On 5/11/2025 12:49 PM, olcott wrote: >> The category error is actually the fact that everyone >> here expects a termination analyzer to report on behavior >> other than the behavior that its input finite string >> actually specifies. > > That's because it's whether or not the algorithm described by the input > halts when executed directly. > > No one cares what "the behavior that its input finite string specifies" > because that's not what we asked about. int sum(int x, int y) { return x + y ; } when you ask about the sum of 5 + 7 using sum(3,2) you are asking the wrong question. HHH reports on the behavior that DDD specifies. sum reports on the sum that its inputs specify. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer