Wednesday, April 6, 2011

The emergence of P and NP

P :   " This is the set of all decision problems solvable by deterministic algorithms in polynomial time "
NP: " This is the set of all decision problems solvable by non- deterministic algorithms in polynomial time "

Since Deterministic algorithms are special case of Non deterministic ones, We conclude that P C NP.

COOKS THEOREM:

Cooks  theorem is better known as cooks question. Is there any single problem in NP such that if it is showed to be in P then it would imply that P=NP ?  also


Satisfiability is in P iff P=NP
 

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