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Path: nntp.eternal-september.org!news.eternal-september.org!eternal-september.org!feeder3.eternal-september.org!weretis.net!feeder8.news.weretis.net!reader5.news.weretis.net!news.solani.org!.POSTED!not-for-mail From: Mild Shock <janburse@fastmail.fm> Newsgroups: comp.ai.philosophy Subject: Re: Title: A Structural Analysis of the Standard Halting Problem Proof Date: Wed, 23 Jul 2025 15:38:58 +0200 Message-ID: <105qolh$2nsia$1@solani.org> References: <105ht1n$36s20$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 23 Jul 2025 13:38:57 -0000 (UTC) Injection-Info: solani.org; logging-data="2880074"; mail-complaints-to="abuse@news.solani.org" User-Agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64; rv:128.0) Gecko/20100101 Firefox/128.0 SeaMonkey/2.53.21 Cancel-Lock: sha1:15uRNFmSscc3r7iMSP1Y77q7TtI= X-User-ID: eJwFwQERADEIAzBLA9ryyGEc8y/hE4ZMkxAFPj4FbxbNvRu7ploU5nzHoEEO43hqv+bzuN1av2Jt9rDUPyxvFNc= In-Reply-To: <105ht1n$36s20$1@dont-email.me> You bisimilarity is broken It shows halting not as a decidable property. If you have M1 ~ M2, and M2 is still not decidable but has the same notion of termination nevertheless, means logically you didn't really make any error, only you showed nothing. Not much was gained. I guess you need to start all over agan. olcott schrieb: > Title: A Structural Analysis of the Standard Halting Problem Proof > > Author: PL Olcott > > Abstract: > This paper presents a formal critique of the standard proof of the > undecidability of the Halting Problem. While we do not dispute the > conclusion that the Halting Problem is undecidable, we argue that the > conventional proof fails to establish this conclusion due to a > fundamental misapplication of Turing machine semantics. Specifically, we > show that the contradiction used in the proof arises from conflating the > behavior of encoded simulations with direct execution, and from making > assumptions about a decider's domain that do not hold under a rigorous > model of computation. > >