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Path: ...!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: Can any pathological input thwart a simulating abort decider? Date: Fri, 22 Mar 2024 13:41:35 -0500 Organization: A noiseless patient Spider Lines: 29 Message-ID: <utkjd0$335kr$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Fri, 22 Mar 2024 18:41:37 -0000 (UTC) Injection-Info: dont-email.me; posting-host="690daa18ce180247edf7b429f714d68a"; logging-data="3249819"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18mcLr0XOvGgWZdHoziAP5x" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:pJ1ICM8lQGj98NKzli+kehqQsRw= Content-Language: en-US Bytes: 1745 01 int D(ptr x) // ptr is pointer to int function 02 { 03 int Halt_Status = H(x, x); 04 if (Halt_Status) 05 HERE: goto HERE; 06 return Halt_Status; 07 } 08 09 void main() 10 { 11 H(D,D); 12 } H is a simulating abort decider that supposed to correctly determine whether or not it needs to abort the simulation of any pathological inputs that are attempting to thwart this abort decision. H must abort every simulated input that would not otherwise halt to prevent its own non-termination. It is a self-evident verified fact that every H(D,D) that decides to abort its simulated D(D) is correct in doing so because this does prevent its own non-termination. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer