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Sparse language

In computational complexity theory, a sparse language is a formal language (a set of strings) such that the complexity function, counting the number of strings of length n in the language, is bounded by a polynomial function of n. They are used primarily in the study of the relationship of the complexity class NP with other classes. The complexity class…

Relationships to other complexity classes, Examples & Overview

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Relationships to other complexity classes

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Map overview Semantic statistics

Sparse language

Nodes27
Edges26
Triples29
Avg. degree1.93
Density0.074074
Components1

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Sparse language

Top relations

related to Relationships to other complexity classes · 12
Sparse language → Delta, If, Karp, Lipton, NE, NP, NP-hard, PH, SPARSE, TALLY, This, Turing
related to Mahaney's theorem · 8
Sparse language → Fortune, Mahaney, Mahaney's, NP, NP-complete, NP-hard, Ogihara, Watanabe
related to P/poly · 8
Sparse language → Although, Karp, Mahaney's, NP, NP-complete, P/poly, There, Turing
is a · 1
Sparse language → formal language

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Important terminology

sparse language languages complexity np displaystyle strings mahaney's theorem length used class unary set called np-complete poly classes turing reduction

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Sparse languageis aformal language0.90text
Sparse languagerelated to Mahaney's theoremFortune0.60section
Sparse languagerelated to Mahaney's theoremNP-complete0.60section
Sparse languagerelated to Mahaney's theoremNP0.60section
Sparse languagerelated to Mahaney's theoremMahaney0.60section
Sparse languagerelated to Mahaney's theoremMahaney's0.60section
Sparse languagerelated to Mahaney's theoremNP-hard0.60section
Sparse languagerelated to Mahaney's theoremOgihara0.60section
Sparse languagerelated to Mahaney's theoremWatanabe0.60section
Sparse languagerelated to P/polyAlthough0.60section
Sparse languagerelated to P/polyP/poly0.60section
Sparse languagerelated to P/polyTuring0.60section

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