Strong Exponential Time Hypothesis

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf computational complexity hypothesis
gptkbp:abbreviation SETH
gptkbp:citation many complexity theory papers
gptkbp:consequence If SETH is false, many problems in P can be solved faster than currently known.
If SETH is true, k-SAT cannot be solved in sub-exponential time for large k.
gptkbp:field theoretical computer science
https://www.w3.org/2000/01/rdf-schema#label Strong Exponential Time Hypothesis
gptkbp:implies gptkb:Exponential_Time_Hypothesis
gptkbp:proposedBy gptkb:Ramamohan_Paturi
gptkb:Russell_Impagliazzo
2001
gptkbp:relatedTo gptkb:Exponential_Time_Hypothesis
k-SAT problem
gptkbp:state For every ε > 0, there exists a k such that k-SAT cannot be solved in O(2^{(1-ε)n}) time.
gptkbp:usedIn fine-grained complexity theory
conditional lower bounds
gptkbp:bfsParent gptkb:Exponential_Time_Hypothesis
gptkbp:bfsLayer 7