Partial Match (Partial Match)

Description

In the Partial Match problem, we are given a "database" of $n$ binary strings, and a list of $n$ "queries" which are strings in $\{0,1,?\}^*$. (Here, "?" represents a wildcard.) We say that a query $q=q_1,...,q_d$ matches a string $x=x_1,...,x_d$ if for all $i=1,...,d$, if $q_i$ in $\{0,1\}$ then $q_i = x_i$. Output: Determine for all $n$ queries, which of them match some string in the database.

Parameters

$n$: number of binary strings/queries

$d$: length of strings/queries

Table of Algorithms

Currently no algorithms in our database for the given problem.

Reductions TO Problem

Problem	Implication	Year	Citation	Reduction
OV	If: to-time: $n^{2-\epsilon}*poly(d)$ for some $\epsilon > {0}$ Then: from-time: $n^{2-\epsilon'}*poly(d)$ for some $\epsilon' > {0}$	2020	https://people.csail.mit.edu/virgi/6.s078/lecture6-post.txt	link

Reductions FROM Problem

Problem	Implication	Year	Citation	Reduction
OV	If: to-time: $n^{2-\epsilon}*poly(d)$ for some $\epsilon > {0}$ Then: from-time: $n^{2-\epsilon'}*poly(d)$ for some $\epsilon' > {0}$	2020	https://people.csail.mit.edu/virgi/6.s078/lecture6-post.txt	link