CORE
🇺🇦Â
 make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
research
Boolean function monotonicity testing requires (almost)
n
1
/
2
n^{1/2}
n
1/2
non-adaptive queries
Authors
Xi Chen
Anindya De
Rocco A. Servedio
Li-Yang Tan
Publication date
17 December 2014
Publisher
Doi
Cite
View
on
arXiv
Abstract
We prove a lower bound of
Ω
(
n
1
/
2
−
c
)
\Omega(n^{1/2 - c})
Ω
(
n
1/2
−
c
)
, for all
c
>
0
c>0
c
>
0
, on the query complexity of (two-sided error) non-adaptive algorithms for testing whether an
n
n
n
-variable Boolean function is monotone versus constant-far from monotone. This improves a
Ω
~
(
n
1
/
5
)
\tilde{\Omega}(n^{1/5})
Ω
~
(
n
1/5
)
lower bound for the same problem that was recently given in [CST14] and is very close to
Ω
(
n
1
/
2
)
\Omega(n^{1/2})
Ω
(
n
1/2
)
, which we conjecture is the optimal lower bound for this model
Similar works
Full text
Available Versions
Crossref
See this paper in CORE
Go to the repository landing page
Download from data provider
info:doi/10.1145%2F2746539.274...
Last time updated on 03/08/2021