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From: wij <wyniijj5@gmail.com>
Newsgroups: comp.lang.c
Subject: Re: Improved =?UTF-8?Q?=E2=84=99=E2=89=A0=E2=84=95=E2=84=99?= proof
Date: Thu, 06 Jun 2024 12:42:41 +0800
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On Mon, 2024-06-03 at 23:06 +0800, wij wrote:


=E2=84=99=E2=89=A0=E2=84=95=E2=84=99 Proved. https://sourceforge.net/projec=
ts/cscall/files/MisFiles/PNP-proof-en.txt/download
....[cut]
    Note: Another super short proof that =E2=84=99=E2=89=A0=E2=84=95=E2=84=
=99 (might be less constructive).
    Proof: If =E2=84=99=3D=E2=84=95=E2=84=99, then =E2=84=95=E2=84=99=E2=84=
=82=3D=E2=84=99. All the problems in =E2=84=95=E2=84=99 are Ptime reduciabl=
e.
           That means all the proofs that prove "Decide whether or not a gi=
ven
           number is even" is not a =E2=84=95=E2=84=99=E2=84=82 are false p=
roofs. Since such proofs are
           considered valid, =E2=84=95=E2=84=99=E2=84=82 and =E2=84=99 is n=
ot the same, therefore, =E2=84=99=E2=89=A0=E2=84=95=E2=84=99.