Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ ACM Transactions on ...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ACM Transactions on Computation Theory
Article
Data sources: UnpayWall
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
arXiv.org e-Print Archive
Preprint . 2019
Data sources: arXiv.org e-Print Archive
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
ACM Transactions on Computation Theory
Article . 2020 . Peer-reviewed
License: https://www.acm.org/publications/policies/copyright_policy#Background
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2019
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
DBLP
Article . 2022
Data sources: DBLP
DBLP
Article . 2023
Data sources: DBLP
DBLP
Article . 2019
Data sources: DBLP
https://dx.doi.org/10.1145/341...
Article
Data sources: Microsoft Academic Graph
 View all 6 versions
Claim

Strongly Exponential Separation between Monotone VP and Monotone VNP

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Sep 2020Embargo end date: 01 Jan 2019 English Publisher:Association for Computing Machinery (ACM)Journal:ACM Transactions on Computation Theory, volume 12, pages 1-12 (issn: 1942-3454, eissn: 1942-3462, Copyright policy )
Authors: Srikanth Srinivasan 0001;

doi: 10.1145/3417758 , 10.48550/arxiv.1903.01630

arXiv: 1903.01630

Strongly Exponential Separation between Monotone VP and Monotone VNP

Abstract

We show that there is a sequence of explicit multilinear polynomials P n (x 1 , … ,x n ) ϵ R [x 1 , … ,x n ] with non-negative coefficients that lies in monotone VNP such that any monotone algebraic circuit for P n must have size exp (Ω ( n )) This builds on (and strengthens) a result of Yehudayoff (STOC 2019) who showed a lower bound of exp (Ω(√n)).

Related Organizations
Keywords

FOS: Computer and information sciences, Computer Science - Computational Complexity, Computational Complexity (cs.CC)

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 3
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
bronze