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» Algorithmic uses of the Feferman-Vaught Theorem
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JSC
2010
96views more  JSC 2010»
13 years 5 months ago
On a generalization of Stickelberger's Theorem
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
Peter Scheiblechner
JCT
1998
99views more  JCT 1998»
13 years 7 months ago
From Hall's Matching Theorem to Optimal Routing on Hypercubes
We introduce a concept of so-called disjoint ordering for any collection of finite sets. It can be viewed as a generalization of a system of distinctive representatives for the s...
Shuhong Gao, Beth Novick, Ke Qiu
SIAMCOMP
2010
147views more  SIAMCOMP 2010»
13 years 5 months ago
Uniform Direct Product Theorems: Simplified, Optimized, and Derandomized
The classical direct product theorem for circuits says that if a Boolean function f : {0, 1}n → {0, 1} is somewhat hard to compute on average by small circuits, then the correspo...
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...
CONSTRAINTS
1999
105views more  CONSTRAINTS 1999»
13 years 7 months ago
Algorithmic Power from Declarative Use of Redundant Constraints
Interval constraints can be used to solve problems in numerical analysis. In this paper we show that one can improve the performance of such an interval constraint program by the ...
Maarten H. van Emden
SIAMCOMP
2008
95views more  SIAMCOMP 2008»
13 years 7 months ago
On the Algorithmic Aspects of Discrete and Lexicographic Helly-Type Theorems and the Discrete LP-Type Model
Helly's theorem says that, if every d+1 elements of a given finite set of convex objects in Rd have a common point, there is a point common to all of the objects in the set. I...
Nir Halman