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Groups > comp.theory > #106377
| From | wij <wyniijj5@gmail.com> |
|---|---|
| Newsgroups | comp.theory |
| Subject | Re: Improved ℙ≠ℕℙ proof |
| Date | 2024-06-06 12:45 +0800 |
| Organization | A noiseless patient Spider |
| Message-ID | <7628d0ddbfbe61abaec59f0ef77968b9f451d1e2.camel@gmail.com> (permalink) |
| References | <108d3c553ccae9c7e6eeb1b8b1a85a52b8b0b78d.camel@gmail.com> <eed8bcaeee2337a7d842401b4bd6e2e409ddc213.camel@gmail.com> <9bf939d70b9ee022a01a7b1dd9eaa705da397d88.camel@gmail.com> <8cfbbf143df2be693e8a4ca79c9c7376cf086741.camel@gmail.com> |
On Mon, 2024-06-03 at 23:04 +0800, wij wrote:
ℙ≠ℕℙ Proved. https://sourceforge.net/projects/cscall/files/MisFiles/PNP-proof-en.txt/download
...[cut]
Note: Another super short proof that ℙ≠ℕℙ (might be less constructive).
Proof: If ℙ=ℕℙ, then ℕℙℂ=ℙ. All the problems in ℕℙ are Ptime reduciable.
That means all the proofs that prove "Decide whether or not a given
number is even" is not a ℕℙℂ are false proofs. Since such proofs are
considered valid, ℕℙℂ and ℙ is not the same, therefore, ℙ≠ℕℙ.
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Improved ℙ≠ℕℙ proof wij <wyniijj5@gmail.com> - 2024-05-30 08:24 +0800
Re: Improved ℙ≠ℕℙ proof wij <wyniijj5@gmail.com> - 2024-05-31 23:07 +0800
Re: Improved ℙ≠ℕℙ proof immibis <news@immibis.com> - 2024-05-31 19:50 +0200
Re: Improved ℙ≠ℕℙ proof wij <wyniijj5@gmail.com> - 2024-06-01 06:33 +0800
Re: Improved ℙ≠ℕℙ proof immibis <news@immibis.com> - 2024-06-01 14:47 +0200
Re: Improved ℙ≠ℕℙ proof wij <wyniijj5@gmail.com> - 2024-06-02 06:18 +0800
Re: Improved ℙ≠ℕℙ proof wij <wyniijj5@gmail.com> - 2024-06-03 22:22 +0800
Re: Improved ℙ≠ℕℙ proof wij <wyniijj5@gmail.com> - 2024-06-03 23:04 +0800
Re: Improved ℙ≠ℕℙ proof wij <wyniijj5@gmail.com> - 2024-06-06 12:45 +0800
Re: Improved ℙ≠ℕℙ proof immibis <news@immibis.com> - 2024-06-04 16:14 +0200
Re: Improved ℙ≠ℕℙ proof wij <wyniijj5@gmail.com> - 2024-06-05 15:33 +0800
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