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» Algorithmic uses of the Feferman-Vaught Theorem
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JSYML
2000
66views more  JSYML 2000»
13 years 7 months ago
A Finite Basis Theorem for Residually Finite, Congruence Meet-Semidistributive Varieties
We derive a Mal'cev condition for congruence meet-semidistributivity and then use it to prove two theorems. Theorem A: if a variety in a finite language is congruence meet-sem...
Ross Willard
CORR
2011
Springer
169views Education» more  CORR 2011»
13 years 2 months ago
Linear-Time Algorithms for Graphs of Bounded Rankwidth: A Fresh Look Using Game Theory
d Abstract) Alexander Langer, Peter Rossmanith, and Somnath Sikdar RWTH Aachen University, 52074 Aachen, Germany. We present an alternative proof of a theorem by Courcelle, Makowsk...
Alexander Langer, Peter Rossmanith, Somnath Sikdar
JSC
2000
68views more  JSC 2000»
13 years 7 months ago
New Structure Theorem for Subresultants
We give a new structure theorem for subresultants precising their gap structure and derive from it a new algorithm for computing them. If d is a bound on the degrees and a bound o...
Henri Lombardi, Marie-Françoise Roy, Mohab ...
CORR
2010
Springer
131views Education» more  CORR 2010»
13 years 6 months ago
Ideal forms of Coppersmith's theorem and Guruswami-Sudan list decoding
: We develop a framework for solving polynomial equations with size constraints on solutions. We obtain our results by showing how to apply a technique of Coppersmith for finding ...
Henry Cohn, Nadia Heninger
TOC
2010
155views Management» more  TOC 2010»
13 years 2 months ago
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
Abstract: We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of the adversary method, by analyzing the eigenspace structur...
Andris Ambainis