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Co-NP

In computational complexity theory, co-NP is a complexity class. A decision problem X is a member of co-NP if and only if its complement X is in the complexity class NP. The class can be defined as follows: a decision problem is in co-NP if and only if for every no-instance we have a polynomial-length "certificate" and there is a polynomial-time…

Relationship to other classes, Co-NP-completeness & Complementary problems

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Overview

Complementary problems

Co-NP-completeness

Relationship to other classes

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Map overview Semantic statistics

Co-NP

Nodes24
Edges23
Triples33
Avg. degree1.92
Density0.083333
Components1

How this topic connects Entity context

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Co-NP

Top relations

related to Relationship to other classes · 17
Co-NP → Apple Chancery, Because, From, If, Lucida Calligraphy, Monotype Corsiva, NP, NP-complete, PH, Since, Suppose, Tex Gyre Chorus, The, This, Thus, Turing, URW Chancery
related to Integer factorization · 6
Co-NP → AKS, An, Integer, It, Membership, NP
is a · 3
Co-NP → complexity class, set of decision problems where there exists a polynomial, subset of PH
related to Complementary problems · 3
Co-NP → Any, NP, While
related to co-NP-completeness · 2
Co-NP → NP, NP-complete
related to Tautology reduction · 2
Co-NP → Determining, NP-complete

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Important terminology

np problem no-instance problems certificate class complement displaystyle every polynomial-time decision co-np-complete follows polynomial possible complexity complementary given yes-instance formula

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Co-NPis acomplexity class0.90text
Co-NPis aset of decision problems where there exists a polynomial0.90text
Co-NPis asubset of PH0.90text
Co-NPrelated to co-NP-completenessNP-complete0.60section
Co-NPrelated to co-NP-completenessNP0.60section
Co-NPrelated to Complementary problemsWhile0.60section
Co-NPrelated to Complementary problemsNP0.60section
Co-NPrelated to Complementary problemsAny0.60section
Co-NPrelated to Integer factorizationAn0.60section
Co-NPrelated to Integer factorizationNP0.60section
Co-NPrelated to Integer factorizationInteger0.60section
Co-NPrelated to Integer factorizationMembership0.60section

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