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DAGSTUHL
2006
15 years 4 months ago
Challenges in Computational Commutative Algebra
In this paper we consider a number of challenges from the point of view of the CoCoA project one of whose tasks is to develop software specialized for computations in commutative a...
John Abbott
JSC
2006
64views more  JSC 2006»
15 years 3 months ago
Computing the support of local cohomology modules
For a polynomial ring R = k[x1, ..., xn], we present a method to compute the characteristic cycle of the localization Rf for any nonzero polynomial f R that avoids a direct comput...
Josep Àlvarez Montaner, Anton Leykin
LOGCOM
2010
123views more  LOGCOM 2010»
15 years 1 months ago
The Hyper Tableaux Calculus with Equality and an Application to Finite Model Computation
In most theorem proving applications, a proper treatment of equational theories or equality is mandatory. In this paper we show how to integrate a modern treatment of equality in ...
Peter Baumgartner, Ulrich Furbach, Björn Pelz...
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DCC
2006
IEEE
16 years 2 months ago
Efficient Computation of Roots in Finite Fields
We present an algorithm to compute r-th roots in Fqm with complexity O((log m + r log q)m2 log2 q) for certain choices of m and q. This compares well to previously known algorithms...
Paulo S. L. M. Barreto, José Felipe Voloch
JOC
2006
71views more  JOC 2006»
15 years 3 months ago
Private Computation: k-Connected versus 1-Connected Networks
We study the role of connectivity of communication networks in private computations under information theoretic settings. It will be shown that some functions can be computed by pr...
Markus Bläser, Andreas Jakoby, Maciej Liskiew...