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From: olcott <polcott333@gmail.com>
Newsgroups: comp.lang.c,comp.lang.c++
Subject: Will Paypal $10 to the first person finding a valid counter-example
Date: Thu, 23 May 2024 14:00:26 -0500
Organization: A noiseless patient Spider
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typedef int (*ptr)();  // ptr is pointer to int function in C
00       int H(ptr p, ptr i);
01       int D(ptr p)
02       {
03         int Halt_Status = H(p, p);
04         if (Halt_Status)
05           HERE: goto HERE;
06         return Halt_Status;
07       }
08
09       int main()
10       {
11         H(D,D);
12         return 0;
13       }

The above template refers to an infinite set of H/D pairs where D is
correctly simulated by pure function H. This was done because many
reviewers used the shell game ploy to endlessly switch which H/D pair
was being referred to. Every H returns the meaningless integer 56.

*Pure Function Defined*
    (1) the function return values are identical for identical arguments
    (no variation with local static variables, non-local variables,
    mutable reference arguments or input streams, i.e., referential
    transparency),
    and

    (2) the function has no side effects (no mutation of local static
    variables, non-local variables, mutable reference arguments or
    input/output streams).
    https://en.wikipedia.org/wiki/Pure_function#

*Correct Simulation Defined*
    This is provided because many reviewers had a different
    notion of correct simulation that diverges from this notion.

    A simulator is an x86 emulator that correctly emulates at least one
    of the x86 instructions of D in the order specified by the x86
    instructions of D.

    This may include correctly emulating the x86 instructions of H in the
    order specified by the x86 instructions of H thus calling H(D,D) in
    recursive simulation.

*Execution Trace*
    Line 11: main() invokes H(D,D); H(D,D) simulates lines 01, 02, and 03
    of D. This invokes H(D,D) again to repeat the process in endless
    recursive simulation.

Will Paypal $10 to the first person finding a valid counter-example
where D correctly simulated by pure function H reaches is own line 06
and halts. This offer expires after 30 days. This offer only applies to
the first valid counter-example. This offer may be extended.


-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer