P vs NP Problem

GPTKB entity

Statements (60)
Predicate Object
gptkbp:instance_of gptkb:chess_match
gptkbp:bfsLayer 5
gptkbp:bfsParent gptkb:Joseph_L._H._Smith
gptkb:Automata_I
gptkbp:challenges theoretical computer scientists
is often misunderstood
remains unresolved
has been extensively studied
has been the subject of many conjectures
has implications for data security
has implications for machine learning
has implications for software development
is often referenced in literature
has philosophical implications
has practical implications
is often discussed in academic circles
has not been resolved
affects various fields
has been explored in various contexts
has been the focus of many studies
has been the subject of many debates
has generated much interest
has implications for computational biology
has implications for network security
has significant consequences
is central to the field of algorithms
is fundamental to understanding computation
is often explored in research.
is often posed in theoretical discussions
is relevant to optimization problems
gptkbp:field gptkb:computer_science
gptkbp:first_appearance gptkb:1971
gptkbp:focuses_on algorithmic research
gptkbp:has not yet proven to be true or false
gptkbp:has_impact_on gptkb:Artificial_Intelligence
gptkb:currency
https://www.w3.org/2000/01/rdf-schema#label P vs NP Problem
gptkbp:is_a open problem
gptkbp:is_a_center_for computational complexity theory
gptkbp:is_a_solution_for gptkb:unknown
gptkbp:is_about the efficiency of algorithms
gptkbp:is_associated_with decision problems
gptkbp:is_cited_in computational limits
gptkbp:is_connected_to mathematical optimization
gptkbp:is_considered one of the most important unsolved problems in computer science
gptkbp:is_discussed_in gptkb:NP-completeness
gptkbp:is_fundamental_to gptkb:computer_science
gptkbp:is_linked_to mathematical logic
gptkbp:is_often_depicted_as gptkb:P_vs_NP
gptkbp:is_part_of gptkb:Millennium_Prize_Problems
gptkbp:is_related_to algorithm design
gptkbp:is_studied_in theoretical computer science
gptkbp:proposed_by gptkb:Stephen_Cook
gptkbp:related_to complexity theory
gptkbp:subject gptkb:academic_conferences
gptkb:Mathematician
numerous research papers
intense scrutiny
debate among computer scientists
gptkbp:visitors whether every problem whose solution can be verified quickly can also be solved quickly