Reduction from CNF-SAT to Multiple Local Alignment

FROM: CNF-SAT TO: Multiple Local Alignment

Implications

if: to-time: $N^{k-\epsilon}$ for some $\epsilon > {0}$ on $k$ binary strings of length $n$ with $k$-wise scoring
then: from-time: ${2}^{(n-\epsilon')}$ for some $\epsilon' > {0}$

Year

2014

Reference

Abboud, Amir, Virginia Vassilevska Williams, and Oren Weimann. "Consequences of faster alignment of sequences." In International Colloquium on Automata, Languages, and Programming, pp. 39-51. Springer, Berlin, Heidelberg, 2014.

https://link.springer.com/chapter/10.1007/978-3-662-43948-7_4