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COCO
2008
Springer
100views Algorithms» more  COCO 2008»
14 years 1 months ago
Detecting Rational Points on Hypersurfaces over Finite Fields
We study the complexity of deciding whether a given homogeneous multivariate polynomial has a nontrivial root over a finite field. Given a homogeneous algebraic circuit C that com...
Swastik Kopparty, Sergey Yekhanin
COCO
2008
Springer
129views Algorithms» more  COCO 2008»
14 years 1 months ago
Constraint Logic: A Uniform Framework for Modeling Computation as Games
We introduce a simple game family, called Constraint Logic, where players reverse edges in a directed graph while satisfying vertex in-flow constraints. This game family can be in...
Erik D. Demaine, Robert A. Hearn
COCO
2008
Springer
118views Algorithms» more  COCO 2008»
14 years 1 months ago
Quantum Expanders: Motivation and Constructions
: We define quantum expanders in a natural way. We give two constructions of quantum expanders, both based on classical expander constructions. The first construction is algebraic,...
Avraham Ben-Aroya, Oded Schwartz, Amnon Ta-Shma
COCO
2008
Springer
81views Algorithms» more  COCO 2008»
14 years 1 months ago
Amplifying Lower Bounds by Means of Self-Reducibility
Eric Allender, Michal Koucký
COCO
2008
Springer
91views Algorithms» more  COCO 2008»
14 years 1 months ago
Amplifying ZPP^SAT[1] and the Two Queries Problem
This paper shows a complete upward collapse in the Polynomial Hierarchy (PH) if for ZPP, two queries to a SAT oracle is equivalent to one query. That is, ZPPSAT[1] = ZPPSAT [2] = ...
Richard Chang, Suresh Purini
COCO
2008
Springer
74views Algorithms» more  COCO 2008»
14 years 1 months ago
Approximation Resistant Predicates from Pairwise Independence
We study the approximability of predicates on k variables from a domain [q], and give a new sufficient condition for such predicates to be approximation resistant under the Unique...
Per Austrin, Elchanan Mossel
COCO
2008
Springer
84views Algorithms» more  COCO 2008»
14 years 1 months ago
New Results on Noncommutative and Commutative Polynomial Identity Testing
Vikraman Arvind, Partha Mukhopadhyay, Srikanth Sri...