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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: Richard Heathfield <rjh@cpax.org.uk> Newsgroups: comp.theory Subject: Re: Proof of Halting Problem Decidability in Typed Hypercomputational Programs (THP) Date: Fri, 2 May 2025 17:31:30 +0100 Organization: Fix this later Lines: 28 Message-ID: <vv2s12$1fkkq$1@dont-email.me> References: <E_QOP.4434$A71.1862@fx17.ams4> <vv1kdt$d71j$1@dont-email.me> <Ie5RP.62589$lZjd.58194@fx05.ams4> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Fri, 02 May 2025 18:31:30 +0200 (CEST) Injection-Info: dont-email.me; posting-host="3a1c0b2ab3dc637eeb67dc4cd879a061"; logging-data="1561242"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/9auTEThQoqhSWRIbnh4jqpLHUUjYcDIlAiQ6HzHvrvw==" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:o68gUqfK8HtJlyrYgEYaJ/W/1TM= Content-Language: en-GB In-Reply-To: <Ie5RP.62589$lZjd.58194@fx05.ams4> Bytes: 2189 On 02/05/2025 16:09, Mr Flibble wrote: > On Fri, 02 May 2025 06:15:40 +0100, Richard Heathfield wrote: > >> On 25/04/2025 20:01, Mr Flibble wrote: >>> The proof addresses the assumption that self-referential conflation of >>> a decider and its input constitutes a category (type) error, >>> which the type system eliminates to ensure decidability. >> >> So you've designed a system in which you guarantee decidability. >> Great! Let's see the code for your decider. > > The code for a decider would be trivial: And yet it remains conspicuous by its absence. it merely needs to be of the > simulating type, possibly stack machine based; such a machine is already a > solved problem: the only question is the magnitude of the resources that > can be allocated to it (infinite in this case). Great! No problem there, then. Off you go... -- Richard Heathfield Email: rjh at cpax dot org dot uk "Usenet is a strange place" - dmr 29 July 1999 Sig line 4 vacant - apply within