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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: comp.theory
Subject: Re: DDD correctly emulated by HHH is correctly rejected as non-halting V2
Date: Sat, 13 Jul 2024 11:20:48 +0300
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On 2024-07-12 14:56:05 +0000, olcott said:

> We stipulate that the only measure of a correct emulation is the
> semantics of the x86 programming language.
> 
> _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]
> 
> When N steps of DDD are emulated by HHH according to the
> semantics of the x86 language then N steps are emulated correctly.
> 
> When we examine the infinite set of every HHH/DDD pair such that:
> HHH₁ one step of DDD is correctly emulated by HHH.
> HHH₂ two steps of DDD are correctly emulated by HHH.
> HHH₃ three steps of DDD are correctly emulated by HHH.
> ...
> HHH∞ The emulation of DDD by HHH never stops running.
> 
> The above specifies the infinite set of every HHH/DDD pair
> where 1 to infinity steps of DDD are correctly emulated by HHH.
> 
> No DDD instance of each HHH/DDD pair ever reaches past its
> own machine address of 0000216b and halts.
> 
> Thus each HHH element of the above infinite set of HHH/DDD
> pairs is necessarily correct to reject its DDD as non-halting.

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-- 
Mikko