More Believable Exponential Time Hypothesis (MBETH)

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Revision as of 11:30, 15 February 2023 by Admin (talk | contribs) (Created page with "== Target Problem == k-SAT == Description == There exists a $k \geq 3$ and a $\delta > 0$ so that $k$-SAT on $n$ variables cannot be solved in $O(2^{\delta n})$ == Implies the following Hypothesis == ETH == Implied by the following Hypothesis == ETH, SETH == Computation Model == Word-Ram on $\log(n)$ bit words == Proven? == No ==...")
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Target Problem

k-SAT

Description

There exists a $k \geq 3$ and a $\delta > 0$ so that $k$-SAT on $n$ variables cannot be solved in $O(2^{\delta n})$

Implies the following Hypothesis

ETH

Implied by the following Hypothesis

ETH, SETH

Computation Model

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

Proven?

No

Year

References/Citation

https://people.csail.mit.edu/virgi/6.s078/lect2.pdf