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Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: olcott <polcott333@gmail.com> Newsgroups: comp.theory,sci.logic Subject: DDD correctly emulated by HHH is correctly rejected as non-halting. Date: Wed, 10 Jul 2024 10:03:46 -0500 Organization: A noiseless patient Spider Lines: 49 Message-ID: <v6m7si$1uq86$2@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 10 Jul 2024 17:03:46 +0200 (CEST) Injection-Info: dont-email.me; posting-host="1ca7ba779153ded89a6e04f3275941c5"; logging-data="2058502"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19fad9whRqd3pbJsKzLbxEs" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:HRDp+HPdYX+ggOR1mvXTHxhmL1A= Content-Language: en-US Bytes: 2640 typedef void (*ptr)(); int HHH(ptr P); void DDD() { HHH(DDD); } int main() { HHH(DDD); } We stipulate that the only measure of a correct emulation is the semantics of the x86 programming language. By this measure when 1 to ∞ steps of DDD are correctly emulated by each pure function x86 emulator HHH (of the infinite set of every HHH that can possibly exist) then DDD cannot possibly reach past its own machine address of 0000216b and halt. _DDD() [00002163] 55 push ebp ; housekeeping [00002164] 8bec mov ebp,esp ; housekeeping [00002166] 6863210000 push 00002163 ; push DDD [0000216b] e853f4ffff call 000015c3 ; call HHH(DDD) [00002170] 83c404 add esp,+04 [00002173] 5d pop ebp [00002174] c3 ret Size in bytes:(0018) [00002174] *This algorithm is used by the simulating termination analyzers* <MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022> If simulating halt decider H correctly simulates its input D until H correctly determines that its simulated D would never stop running unless aborted then H can abort its simulation of D and correctly report that D specifies a non-halting sequence of configurations. </MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022> Simulating termination analyzer HHH aborts its emulation of DDD as soon as it correctly detects any non-halting behavior pattern. At this point it aborts its emulation and returns 0 indicating that it rejected this input as non-halting. -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer