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Groups > comp.theory > #52753

Re: Technically competent Software engineers can verify this halting problem proof refutation

Subject Re: Technically competent Software engineers can verify this halting problem proof refutation
Newsgroups comp.theory, comp.ai.philosophy, sci.logic, sci.math
References <EOydnaeszcdfHS__nZ2dnUU7_83NnZ2d@giganews.com>
From Richard Damon <Richard@Damon-Family.org>
Message-ID <PtvsK.300027$5fVf.158200@fx09.iad> (permalink)
Organization Forte - www.forteinc.com
Date 2022-06-21 22:52 -0400

Cross-posted to 4 groups.

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On 6/21/22 10:38 PM, olcott wrote:
> #include <stdint.h>
> #define u32 uint32_t
> 
> #include <stdint.h>
> typedef void (*ptr)();
> 
> void P(ptr x)
> {
>    if (H(x, x))
>      HERE: goto HERE;
>    return;
> }
> 
> int main()
> {
>    Output("Input_Halts = ", H(P, P));
> }
> 
> _P()
> [000010d2](01)  55              push ebp
> [000010d3](02)  8bec            mov ebp,esp
> [000010d5](03)  8b4508          mov eax,[ebp+08]
> [000010d8](01)  50              push eax
> [000010d9](03)  8b4d08          mov ecx,[ebp+08]
> [000010dc](01)  51              push ecx
> [000010dd](05)  e820feffff      call 00000f02
> [000010e2](03)  83c408          add esp,+08
> [000010e5](02)  85c0            test eax,eax
> [000010e7](02)  7402            jz 000010eb
> [000010e9](02)  ebfe            jmp 000010e9
> [000010eb](01)  5d              pop ebp
> [000010ec](01)  c3              ret
> Size in bytes:(0027) [000010ec]
> 
> Every sufficiently competent software engineer can easily verify that 
> the complete and correct x86 emulation of the input to H(P,P) by H would 
> never reach the "ret" instruction of P because both H and P would remain 
> stuck in infinitely recursive emulation.
> 
> If H does correctly determine that this is the case in a finite number 
> of steps then H could reject its input on this basis. Here are the 
> details of exactly how H does this in a finite number of steps.
> 
> typedef struct Decoded
> {
>    u32 Address;
>    u32 ESP;          // Current value of ESP
>    u32 TOS;          // Current value of Top of Stack
>    u32 NumBytes;
>    u32 Simplified_Opcode;
>    u32 Decode_Target;
> } Decoded_Line_Of_Code;
> 
>   machine   stack     stack     machine    assembly
>   address   address   data      code       language
>   ========  ========  ========  =========  =============
> [000010d2][00211e8a][00211e8e] 55         push ebp
> [000010d3][00211e8a][00211e8e] 8bec       mov ebp,esp
> [000010d5][00211e8a][00211e8e] 8b4508     mov eax,[ebp+08]
> [000010d8][00211e86][000010d2] 50         push eax        // push P
> [000010d9][00211e86][000010d2] 8b4d08     mov ecx,[ebp+08]
> [000010dc][00211e82][000010d2] 51         push ecx        // push P
> [000010dd][00211e7e][000010e2] e820feffff call 00000f02   // call H
> Infinitely Recursive Simulation Detected Simulation Stopped
> 
> // actual fully operational code in the x86utm operating system
> u32 H(u32 P, u32 I)
> {
> HERE:
>    u32 End_Of_Code;
>    u32 Address_of_H;              // 2022-06-17
>    u32 code_end                  = get_code_end(P);
>    Decoded_Line_Of_Code *decoded = (Decoded_Line_Of_Code*) 
> Allocate(sizeof(Decoded_Line_Of_Code));
>    Registers*  master_state      = (Registers*) 
> Allocate(sizeof(Registers));
>    Registers*  slave_state       = (Registers*) 
> Allocate(sizeof(Registers));
>    u32*        slave_stack       = Allocate(0x10000); // 64k;
>    u32  execution_trace = (u32)Allocate(sizeof(Decoded_Line_Of_Code) * 
> 1000);
> 
>    __asm lea eax, HERE             // 2022-06-18
>    __asm sub eax, 6                // 2022-06-18
>    __asm mov Address_of_H, eax     // 2022-06-18
>    __asm mov eax, END_OF_CODE
>    __asm mov End_Of_Code, eax
> 
>    Output("Address_of_H:", Address_of_H); // 2022-06-11
>    Init_slave_state(P, I, End_Of_Code, slave_state, slave_stack);
>    Output("\nBegin Simulation   Execution Trace Stored at:", 
> execution_trace);
>    if (Decide_Halting(&execution_trace, &decoded, code_end, &master_state,
>                       &slave_state, &slave_stack, Address_of_H, P, I))
>        goto END_OF_CODE;
>    return 0;  // Does not halt
> END_OF_CODE:
>    return 1; // Input has normally terminated
> }
> 
> H knows its own machine address and on this basis it can easily examine 
> its stored execution_trace of P and determine:
> (a) P is calling H with the same arguments that H was called with.
> (b) No instructions in P could possibly escape this otherwise infinitely 
> recursive emulation.
> (c) H aborts its emulation of P before its call to H is invoked.
> 
> 
> 
> 
> Technically competent software engineers may not know this computer 
> science:
> 
> A halt decider must compute the mapping from its inputs to an accept or 
> reject state on the basis of the actual behavior that is actually 
> specified by these inputs.
> 
> computation that halts … the Turing machine will halt whenever it enters 
> a final state. (Linz:1990:234)
> 
> The "ret" instruction of P is its final state.
> 
> Linz, Peter 1990. An Introduction to Formal Languages and Automata. 
> Lexington/Toronto: D. C. Heath and Company. (317-320)
> 

Right, and P(P) reaches the ret instruction of H(P,P) returns 0, so H 
was incorrect in its mapping, since the behavior of P(P) is the 
DEFINITION of the behavior of H(P,P), especially if that is what P calls 
and P is claimed to be built by the Linz template.

So, either P isn't built right, or H isn't built fight, or H is wrong.

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Thread

Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-21 21:38 -0500
  Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-21 22:52 -0400
    Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-21 22:10 -0500
      Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-21 23:28 -0400
      Re: Technically competent Software engineers can verify this halting problem proof refutation Python <python@example.invalid> - 2022-06-22 05:52 +0200
      Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-22 00:55 -0700
        Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 07:16 -0500
          Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-22 05:45 -0700
            Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 07:53 -0500
              Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 09:55 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-22 19:05 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 18:39 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-22 20:22 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 19:30 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-22 20:56 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 20:03 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-22 21:19 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 20:33 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-22 21:49 -0400
            Re: Technically competent Software engineers can verify this halting problem proof refutation Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-06-22 16:50 +0100
              Re: Technically competent Software engineers can verify this halting problem proof refutation [ strawman deception ] olcott <NoOne@NoWhere.com> - 2022-06-22 12:58 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ strawman deception ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 19:11 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ strawman deception ] olcott <NoOne@NoWhere.com> - 2022-06-22 19:00 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ strawman deception ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 20:25 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-22 19:34 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 21:05 -0400
              Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-23 01:19 -0700
                Software engineers can verify this halting problem proof refutation [ H(P,P) versus P(P) ] olcott <NoOne@NoWhere.com> - 2022-06-23 13:14 -0500
                Re: Software engineers can verify this halting problem proof refutation [ H(P,P) versus P(P) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2022-06-23 11:26 -0700
                Re: Software engineers can verify this halting problem proof refutation [ H(P,P) versus P(P) ] Richard Damon <Richard@Damon-Family.org> - 2022-06-23 19:00 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-06-23 23:44 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-23 20:38 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-24 00:53 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-24 08:07 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-24 09:18 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-24 06:34 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-24 09:32 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-24 12:07 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <polcott2@gmail.com> - 2022-06-24 10:50 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-24 09:09 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-24 11:32 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-24 12:46 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-24 11:52 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-24 15:55 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-24 10:29 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-24 12:42 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-24 12:34 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-24 15:20 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-24 16:00 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-06-24 20:42 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-24 13:25 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-24 15:35 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-24 16:59 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-06-24 23:16 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-24 17:25 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation "dklei...@gmail.com" <dkleinecke@gmail.com> - 2022-06-24 16:58 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-24 19:12 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-24 21:56 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation "dklei...@gmail.com" <dkleinecke@gmail.com> - 2022-06-24 21:50 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-24 23:59 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-24 21:01 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <polcott2@gmail.com> - 2022-06-24 23:33 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-24 22:09 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-25 00:24 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-25 00:32 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-25 09:28 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-25 10:03 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-25 16:09 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-25 10:19 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-25 16:21 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-25 10:54 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-25 16:59 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-25 11:06 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-25 17:25 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-25 11:32 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-25 20:12 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] olcott <NoOne@NoWhere.com> - 2022-06-25 14:20 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] Mr Flibble <flibble@reddwarf.jmc> - 2022-06-25 20:33 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-25 13:03 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation Python <python@example.invalid> - 2022-06-25 18:31 +0200
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-25 11:40 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-25 12:59 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-25 09:39 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-06-26 00:55 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-25 20:07 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-26 02:16 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-25 20:36 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-26 14:40 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-26 19:57 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-06-26 21:42 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-26 15:53 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-25 20:58 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-26 03:03 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-26 05:31 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-26 12:15 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-26 11:27 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-26 20:00 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-26 14:11 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-26 20:26 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-26 14:37 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-26 20:43 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-26 14:54 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-26 21:15 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-26 15:37 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-26 21:40 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-26 15:42 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-26 15:09 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-26 14:56 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-26 20:01 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-26 03:14 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-26 05:42 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-06-26 13:58 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-26 16:18 -0500
  Re: Technically competent Software engineers can verify this halting problem proof refutation Jeff Barnett <jbb@notatt.com> - 2022-06-22 11:11 -0600
    Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 13:10 -0500
      Re: Technically competent Software engineers can verify this halting problem proof refutation Jeff Barnett <jbb@notatt.com> - 2022-06-22 16:10 -0600
        Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-22 17:34 -0500
        Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 17:37 -0500
        Re: Technically competent Software engineers can verify this halting problem proof refutation Paul N <gw7rib@aol.com> - 2022-06-23 05:20 -0700
          Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-23 13:03 -0500
  Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-22 20:31 +0100
    Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 15:27 -0500
      Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-22 22:20 +0100
        Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 16:41 -0500
          Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-22 22:49 +0100
            Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 16:58 -0500
              Re: Technically competent Software engineers can verify this halting problem proof refutation Mr Flibble <flibble@reddwarf.jmc> - 2022-06-23 00:01 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation olcott <NoOne@NoWhere.com> - 2022-06-22 18:29 -0500
          Re: Technically competent Software engineers can verify this halting problem proof refutation Dennis Bush <dbush.mobile@gmail.com> - 2022-06-22 14:53 -0700
            Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-22 17:22 -0500
              Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Dennis Bush <dbush.mobile@gmail.com> - 2022-06-22 15:48 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-22 18:11 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Dennis Bush <dbush.mobile@gmail.com> - 2022-06-22 18:02 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-22 20:16 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Dennis Bush <dbush.mobile@gmail.com> - 2022-06-22 18:21 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-22 20:37 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Dennis Bush <dbush.mobile@gmail.com> - 2022-06-22 18:44 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-22 21:15 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 22:22 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-22 21:42 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 22:52 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Dennis Bush <dbush.mobile@gmail.com> - 2022-06-22 19:23 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-22 21:46 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Dennis Bush <dbush.mobile@gmail.com> - 2022-06-22 19:48 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-23 01:28 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 22:54 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-24 13:52 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Paul N <gw7rib@aol.com> - 2022-06-24 13:05 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-24 15:27 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Paul N <gw7rib@aol.com> - 2022-06-25 04:56 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-25 09:10 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Mr Flibble <flibble@reddwarf.jmc> - 2022-06-25 15:53 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Paul N <gw7rib@aol.com> - 2022-06-25 09:19 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-25 11:29 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Paul N <gw7rib@aol.com> - 2022-06-25 10:21 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] olcott <NoOne@NoWhere.com> - 2022-06-25 12:52 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] Paul N <gw7rib@aol.com> - 2022-06-25 11:58 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] olcott <NoOne@NoWhere.com> - 2022-06-25 14:15 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] Mr Flibble <flibble@reddwarf.jmc> - 2022-06-25 20:18 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] Richard Damon <Richard@Damon-Family.org> - 2022-06-25 16:11 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] Mr Flibble <flibble@reddwarf.jmc> - 2022-06-25 20:15 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-06-25 20:24 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Paul N <gw7rib@aol.com> - 2022-06-25 12:33 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-25 14:49 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Richard Damon <Richard@Damon-Family.org> - 2022-06-25 17:35 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-06-26 00:28 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Richard Damon <Richard@Damon-Family.org> - 2022-06-25 20:34 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] olcott <polcott2@gmail.com> - 2022-06-25 19:54 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] olcott <polcott2@gmail.com> - 2022-06-25 19:55 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <polcott2@gmail.com> - 2022-06-25 19:56 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] olcott <NoOne@NoWhere.com> - 2022-06-25 19:57 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] Richard Damon <Richard@Damon-Family.org> - 2022-06-25 21:47 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] olcott <NoOne@NoWhere.com> - 2022-06-25 14:39 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Richard Damon <Richard@Damon-Family.org> - 2022-06-25 19:21 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Mr Flibble <flibble@reddwarf.jmc> - 2022-06-26 00:42 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-06-24 23:23 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] olcott <NoOne@NoWhere.com> - 2022-06-24 17:58 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ] Richard Damon <Richard@Damon-Family.org> - 2022-06-24 22:00 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ truism ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 21:52 -0400
      Re: Technically competent Software engineers can verify this halting problem proof refutation Richard Damon <Richard@Damon-Family.org> - 2022-06-22 20:32 -0400
        Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-22 19:37 -0500
          Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 20:48 -0400
            Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-22 19:55 -0500
              Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Dennis Bush <dbush.mobile@gmail.com> - 2022-06-22 18:05 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-22 20:20 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 21:32 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Paul N <gw7rib@aol.com> - 2022-06-23 05:13 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-06-23 17:28 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-23 11:42 -0500
                Software engineers can verify this halting problem proof refutation [ H(P,P) versus P(P) ] olcott <NoOne@NoWhere.com> - 2022-06-23 12:44 -0500
              Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 21:14 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-22 20:29 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 21:36 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-22 20:41 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 21:45 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-22 21:18 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 22:34 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-22 21:55 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Richard Damon <Richard@Damon-Family.org> - 2022-06-22 23:41 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-23 00:13 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-23 00:19 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Richard Damon <Richard@Damon-Family.org> - 2022-06-23 07:20 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Mr Flibble <flibble@reddwarf.jmc> - 2022-06-23 20:41 +0100
                Software engineers [ not Flibble ] can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-23 14:56 -0500
                Re: Software engineers [ not Flibble ] can verify this halting problem proof refutation [ full closure ] Mr Flibble <flibble@reddwarf.jmc> - 2022-06-23 20:59 +0100
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] "dklei...@gmail.com" <dkleinecke@gmail.com> - 2022-06-23 16:55 -0700
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-23 20:38 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Richard Damon <Richard@Damon-Family.org> - 2022-06-23 21:59 -0400
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] olcott <NoOne@NoWhere.com> - 2022-06-23 21:10 -0500
                Re: Technically competent Software engineers can verify this halting problem proof refutation [ full closure ] Richard Damon <Richard@Damon-Family.org> - 2022-06-23 22:29 -0400
    Re: Technically competent Software engineers can verify this halting problem proof refutation [ nitwit rebuttals ] olcott <NoOne@NoWhere.com> - 2022-06-22 15:47 -0500
      Re: Technically competent Software engineers can verify this halting problem proof refutation [ nitwit rebuttals ] Mr Flibble <flibble@reddwarf.jmc> - 2022-06-22 22:13 +0100

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