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» Polynomial Interpretations and the Complexity of Algorithms
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CORR
2012
Springer
207views Education» more  CORR 2012»
14 years 1 months ago
A baby step-giant step roadmap algorithm for general algebraic sets
Abstract. Let R be a real closed field and D ⊂ R an ordered domain. We give an algorithm that takes as input a polynomial Q ⊂ D[X1, . . . , Xk], and computes a description of ...
Saugata Basu, Marie-Françoise Roy, Mohab Sa...
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
15 years 10 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
CHES
2005
Springer
83views Cryptology» more  CHES 2005»
15 years 11 months ago
Fast Truncated Multiplication for Cryptographic Applications
The Truncated Multiplication computes a truncated product, a contiguous subsequence of the digits of the product of 2 integers. A few truncated polynomial multiplication algorithms...
Laszlo Hars
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
16 years 6 months ago
Extractors for a constant number of polynomially small min-entropy independent sources
We consider the problem of randomness extraction from independent sources. We construct an extractor that can extract from a constant number of independent sources of length n, ea...
Anup Rao
DATE
2007
IEEE
101views Hardware» more  DATE 2007»
16 years 4 days ago
Polynomial-time subgraph enumeration for automated instruction set extension
This paper proposes a novel algorithm that, given a data-flow graph and an input/output constraint, enumerates all convex subgraphs under the given constraint in polynomial time ...
Paolo Bonzini, Laura Pozzi