P-NP-Problem

GPTKB entity

Statements (28)
Predicate Object
gptkbp:instanceOf computational complexity problem
gptkbp:abbreviation gptkb:P_vs_NP
gptkbp:asksWhether P equals NP
gptkbp:award 1 million USD
gptkbp:centralTo theoretical computer science
gptkbp:describes relationship between P and NP complexity classes
gptkbp:field gptkb:mathematics
theoretical computer science
gptkbp:formedBy gptkb:Stephen_Cook
gptkb:Leonid_Levin
1971
gptkbp:hasNoKnownSolution true
gptkbp:hasOpenQuestion P = NP?
https://www.w3.org/2000/01/rdf-schema#label P-NP-Problem
gptkbp:implies gptkb:artificial_intelligence
cryptography
optimization
algorithm design
gptkbp:importantFor fundamental question in computer science
gptkbp:includedIn gptkb:Clay_Mathematics_Institute_Millennium_Prize_Problems
gptkbp:isMillenniumPrizeProblem true
gptkbp:relatedTo NP class
NP-complete
P class
gptkbp:status unsolved
gptkbp:type Is every problem whose solution can be quickly verified by a computer also quickly solvable by a computer?
gptkbp:bfsParent gptkb:Mathematische_Probleme
gptkbp:bfsLayer 5