NP-hard Problem

GPTKB entity

Statements (34)
Predicate Object
gptkbp:instanceOf Computational Complexity Class
gptkbp:characterizedBy At least as hard as the hardest problems in NP
gptkbp:contrastsWith NP Problem
NP-complete Problem
NP-easy Problem
P Problem
gptkbp:definedIn Computational Complexity Theory
gptkbp:example gptkb:Decision_Problem
Optimization Problem
Search Problem
gptkbp:hasProperty No known polynomial-time solution
Verification may not be in polynomial time
gptkbp:hasSuperClass EXPTIME-hard Problem
PSPACE-hard Problem
https://www.w3.org/2000/01/rdf-schema#label NP-hard Problem
gptkbp:includes gptkb:Traveling_Salesman_Problem_(optimization_version)
Halting Problem
NP-complete Problem
Boolean Satisfiability Problem (optimization version)
gptkbp:introduced gptkb:Richard_Karp
gptkb:Stephen_Cook
gptkbp:introducedIn 1970s
gptkbp:mayNotBe In NP
gptkbp:notSolvableBy Polynomial Time Algorithms (unless P=NP)
gptkbp:relatedTo gptkb:P_vs_NP_Problem
NP-complete Problem
gptkbp:solvedBy Exponential Time Algorithms
gptkbp:subclassOf NP-complete Problem
gptkbp:usedIn gptkb:Algorithm_Design
Cryptography
Operations Research
Theoretical Computer Science
gptkbp:bfsParent gptkb:Knapsack_Problem
gptkbp:bfsLayer 7