Sujet : Re: Proof of P and NP
De : ben (at) *nospam* bsb.me.uk (Ben Bacarisse)
Groupes : sci.mathDate : 24. May 2025, 01:15:22
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <87sekux3s5.fsf@bsb.me.uk>
References : 1
User-Agent : Gnus/5.13 (Gnus v5.13)
Suresh Devanathan <
idatarm@NOJUNKgmx.com> writes:
Suppose you are trying to solve a Boolean satisfiability problem C[x]. Now
convert the problem into probabilistic domain.
>
For probability vector x
C[x] = p
= p + 0*K*(B - p)
= lim K->infinity p + 1/K*K(B- p)
= B
>
>
For friend
in case a satisfiability, B = 1
in case untestable, assume x_n= 0.5, B = 0
>
For enemy,
in case a satisfiability, B = 0
in case untestable, assume x_n = 0.5, B = 1
>
>
since by cook's thesis, even in 1 problem in NP proven to be P , every
problem proven P.
Not right. If a problem proven to be NP-complete is shown to be in P,
then P = NP.
If
reverse result is always true of enemy, the number of permutation is at
least as great as 2^N
where N is number of inputs, showing problem is be NP.
The problem must be NP-complete, not just in NP.
complete proof
Not yet.
-- Ben.