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From: wij <wyniijj5@gmail.com>
Newsgroups: comp.theory
Subject: Re: The execution trace of HHH1(DDD) shows the divergence
Date: Sat, 07 Jun 2025 23:54:38 +0800
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In-Reply-To: <1021m7c$34oo9$4@dont-email.me>

On Sat, 2025-06-07 at 10:35 -0500, olcott wrote:
> On 6/7/2025 10:31 AM, wij wrote:
> > On Sat, 2025-06-07 at 09:57 -0500, olcott wrote:
> > > On 6/7/2025 9:54 AM, wij wrote:
> > > > On Sat, 2025-06-07 at 09:32 -0500, olcott wrote:
> > > > > The execution trace of HHH1(DDD) shows the divergence
> > > > > of DDD emulated by HHH from DDD emulated by HHH1.
> > > > >=20
> > > > > int main()
> > > > > {
> > > > > =C2=A0=C2=A0=C2=A0=C2=A0 HHH1(DDD);
> > > > > }
> > > > >=20
> > > > > Shows that DDD emulated by HHH and DDD emulated by
> > > > > HHH1 diverges as soon as HHH begins emulating itself
> > > > > emulating DDD.
> > > > >=20
> > > > > *From the execution trace of HHH1(DDD) shown below*
> > > > > DDD emulated by HHH1=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=
=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 DDD emulated by HHH
> > > > > [00002183] push ebp=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=
=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 [00002183] push ebp
> > > > > [00002184] mov ebp,esp=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0=C2=A0=C2=A0 [00002184] mov ebp,esp
> > > > > [00002186] push 00002183 ; DDD=C2=A0=C2=A0=C2=A0 [00002186] push =
00002183 ; DDD
> > > > > [0000218b] call 000015c3 ; HHH=C2=A0=C2=A0=C2=A0 [0000218b] call =
000015c3 ; HHH
> > > > > *HHH1 emulates DDD once then HHH emulates DDD once, these match*
> > > > >=20
> > > > > The next instruction of DDD that HHH emulates is at
> > > > > the machine address of 00002183.
> > > > >=20
> > > > > The next instruction of DDD that HHH1 emulates is at
> > > > > the machine address of 00002190.
> > > > >=20
> > > > > 00002183 !=3D 00002190
> > > > >=20
> > > > > _DDD()
> > > > > [00002183] 55=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=
=A0=C2=A0=C2=A0=C2=A0 push ebp
> > > > > [00002184] 8bec=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0 mov ebp,esp
> > > > > [00002186] 6883210000=C2=A0=C2=A0=C2=A0=C2=A0 push 00002183 ; pus=
h DDD
> > > > > [0000218b] e833f4ffff=C2=A0=C2=A0=C2=A0=C2=A0 call 000015c3 ; cal=
l HHH
> > > > > [00002190] 83c404=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
 add esp,+04
> > > > > [00002193] 5d=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=
=A0=C2=A0=C2=A0=C2=A0 pop ebp
> > > > > [00002194] c3=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=
=A0=C2=A0=C2=A0=C2=A0 ret
> > > > > Size in bytes:(0018) [00002194]
> > > > >=20
> > > > > _main()
> > > > > [000021a3] 55=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=
=A0=C2=A0=C2=A0=C2=A0 push ebp
> > > > > [000021a4] 8bec=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0 mov ebp,esp
> > > > > [000021a6] 6883210000=C2=A0=C2=A0=C2=A0=C2=A0 push 00002183 ; pus=
h DDD
> > > > > [000021ab] e843f3ffff=C2=A0=C2=A0=C2=A0=C2=A0 call 000014f3 ; cal=
l HHH1
> > > > > [000021b0] 83c404=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
 add esp,+04
> > > > > [000021b3] 33c0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0 xor eax,eax
> > > > > [000021b5] 5d=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=
=A0=C2=A0=C2=A0=C2=A0 pop ebp
> > > > > [000021b6] c3=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=
=A0=C2=A0=C2=A0=C2=A0 ret
> > > > > Size in bytes:(0020) [000021b6]
> > > > >=20
> > > > > =C2=A0=C2=A0=C2=A0 machine=C2=A0=C2=A0 stack=C2=A0=C2=A0=C2=A0=C2=
=A0 stack=C2=A0=C2=A0=C2=A0=C2=A0 machine=C2=A0=C2=A0=C2=A0 assembly
> > > > > =C2=A0=C2=A0=C2=A0 address=C2=A0=C2=A0 address=C2=A0=C2=A0 data=
=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 code=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 lan=
guage
> > > > > =C2=A0=C2=A0=C2=A0 =3D=3D=3D=3D=3D=3D=3D=3D=C2=A0 =3D=3D=3D=3D=3D=
=3D=3D=3D=C2=A0 =3D=3D=3D=3D=3D=3D=3D=3D=C2=A0 =3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
> > > > > <main is executed>
> > > > > [000021a3][0010382d][00000000] 55=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0=C2=A0 push ebp=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 ; main()
> > > > > [000021a4][0010382d][00000000] 8bec=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0 mov ebp,esp=C2=A0=C2=A0 ; main()
> > > > > [000021a6][00103829][00002183] 6883210000 push 00002183 ; push DD=
D
> > > > > [000021ab][00103825][000021b0] e843f3ffff call 000014f3 ; call HH=
H1
> > > > > </main is executed>
> > > > >=20
> > > > > New slave_stack at:1038d1
> > > > > Begin Local Halt Decider Simulation=C2=A0=C2=A0 Execution Trace S=
tored at:1138d9
> > > > >=20
> > > > > <DDD emulated by HHH1>
> > > > > [00002183][001138c9][001138cd] 55=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0=C2=A0 push ebp=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 ; DDD of HHH1
> > > > > [00002184][001138c9][001138cd] 8bec=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0 mov ebp,esp=C2=A0=C2=A0 ; DDD of HHH1
> > > > > [00002186][001138c5][00002183] 6883210000 push 00002183 ; push DD=
D
> > > > > [0000218b][001138c1][00002190] e833f4ffff call 000015c3 ; call HH=
H
> > > > > </DDD emulated by HHH1>
> > > > >=20
> > > > > New slave_stack at:14e2f9
> > > > > Begin Local Halt Decider Simulation=C2=A0=C2=A0 Execution Trace S=
tored at:15e301
> > > > >=20
> > > > > <DDD emulated by HHH>
> > > > > [00002183][0015e2f1][0015e2f5] 55=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0=C2=A0 push ebp=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 ; DDD of HHH[0]
> > > > > [00002184][0015e2f1][0015e2f5] 8bec=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0 mov ebp,esp=C2=A0=C2=A0 ; DDD of HHH[0]
> > > > > [00002186][0015e2ed][00002183] 6883210000 push 00002183 ; push DD=
D
> > > > > [0000218b][0015e2e9][00002190] e833f4ffff call 000015c3 ; call HH=
H
> > > > > <DDD emulated by HHH>
> > > > >=20
> > > > > New slave_stack at:198d21=C2=A0 DDD emulated by HHH
> > > > > *This is the beginning of the divergence of the behavior*
> > > > > *HHH is emulating itself emulating DDD, HHH1 never does that*
> > > > >=20
> > > > > <DDD emulated by HHH emulating itself>
> > > > > [00002183][001a8d19][001a8d1d] 55=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0=C2=A0 push ebp=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 ; DDD of HHH[1]
> > > > > [00002184][001a8d19][001a8d1d] 8bec=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0 mov ebp,esp=C2=A0=C2=A0 ; DDD of HHH[1]
> > > > > [00002186][001a8d15][00002183] 6883210000 push 00002183 ; push DD=
D
> > > > > [0000218b][001a8d11][00002190] e833f4ffff call 000015c3 ; call HH=
H
> > > > > </DDD emulated by HHH emulating itself>
> > > > >=20
> > > > > Local Halt Decider: Infinite Recursion Detected Simulation Stoppe=
d
> > > > > HHH returns to caller
> > > > >=20
> > > > > <DDD emulated by HHH1>
> > > > > [00002190][001138c9][001138cd] 83c404=C2=A0=C2=A0=C2=A0=C2=A0 add=
 esp,+04 ; DDD of HHH1
> > > > > [00002193][001138cd][000015a8] 5d=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0=C2=A0 pop ebp=C2=A0=C2=A0=C2=A0=C2=A0 ; DDD of HHH1
> > > > > [00002194][001138d1][0003a980] c3=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0=C2=A0 ret=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 ; DD=
D of HHH1
> > > > > </DDD emulated by HHH1>
> > > > >=20
> > > > > <main is executed>
> > > > > [000021b0][0010382d][00000000] 83c404=C2=A0=C2=A0=C2=A0=C2=A0 add=
 esp,+04 ; main()
> > > > > [000021b3][0010382d][00000000] 33c0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0 xor eax,eax ; main()
> > > > > [000021b5][00103831][00000018] 5d=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0=C2=A0 pop ebp=C2=A0=C2=A0=C2=A0=C2=A0 ; main()
> > > > > [000021b6][00103835][00000000] c3=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=
=C2=A0=C2=A0=C2=A0 ret=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 ; ma=
in()
> > > > > </main is executed>
> > > > > Number of Instructions Executed(352831) =3D=3D 5266 Pages
> > > >=20
> > > > The HP is asking for such a H that H(D)=3D=3D1 iff D() halts.
> > > > You are always solving POO Problem.
> > > >=20
> > >=20
> > > int main()
> > > {
> > > =C2=A0=C2=A0=C2=A0 DDD(); // The HHH(DDD) that DDD calls cannot repor=
t
> > > }=C2=A0=C2=A0 =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 // on the behavior=
 of its caller.
> >=20
> > That is what the HP theorem says, the halting decider is not possible.
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