Strong Exponential Time Hypothesis (SETH)

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Target Problem

k-SAT

Description

For every $\epsilon > 0$, there exists an integer $k \geq 3$ such that $k$-SAT cannot be solved in $O(2^{(1-\epsilon) n})$ time.

Implies the following Hypothesis

MBETH, ETH

Implied by the following Hypothesis

OVH, UOVH

Computation Model

Word-RAM on $\log(n)$ bit words

Proven?

No

Year

References/Citation

Impagliazzo, Paturi, and Zane