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» The Proof Complexity of Polynomial Identities
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COMBINATORICS
2006
101views more  COMBINATORICS 2006»
13 years 5 months ago
Optimal Penney Ante Strategy via Correlation Polynomial Identities
In the game of Penney Ante two players take turns publicly selecting two distinct words of length n using letters from an alphabet of size q. They roll a fair q sided die having ...
Daniel Felix
CADE
1992
Springer
13 years 9 months ago
Polynomial Interpretations and the Complexity of Algorithms
The ability to use a polynomial iterpretation to prove termination of a rewrite system naturally prompts the question as to what restriction on complexity this imposes. The main r...
Adam Cichon, Pierre Lescanne
SODA
2003
ACM
143views Algorithms» more  SODA 2003»
13 years 6 months ago
Deterministic identity testing for multivariate polynomials
In this paper we present a simple deterministic algorithm for testing whether a multivariate polynomial f(x1, . . . , xn) is identically zero, in time polynomial in m, n, log(d + ...
Richard J. Lipton, Nisheeth K. Vishnoi
STOC
2005
ACM
132views Algorithms» more  STOC 2005»
14 years 5 months ago
Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits
In this work we study two, seemingly unrelated, notions. Locally Decodable Codes (LDCs) are codes that allow the recovery of each message bit from a constant number of entries of ...
Zeev Dvir, Amir Shpilka
LICS
2008
IEEE
13 years 11 months ago
On the Asymptotic Nullstellensatz and Polynomial Calculus Proof Complexity
We show that the asymptotic complexity of uniformly generated (expressible in First-Order (FO) logic) propositional tautologies for the Nullstellensatz proof system (NS) as well a...
Søren Riis