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» Polynomial Interpretations and the Complexity of Algorithms
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CORR
2012
Springer
207views Education» more  CORR 2012»
13 years 7 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 3 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 5 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 4 days 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»
15 years 6 months 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