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» Effective Set Membership in Computer Algebra and Beyond
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AISC
2008
Springer
13 years 6 months ago
Effective Set Membership in Computer Algebra and Beyond
Abstract. In previous work, we showed the importance of distinguishing "I know that X = Y " from "I don't know that X = Y ". In this paper we look at effec...
James H. Davenport
RELMICS
2009
Springer
13 years 11 months ago
Contact Relations with Applications
Using relation algebra, we generalize Aumann’s notion of a contact relation and that of a closure operation from powersets to general membership relations and their induced parti...
Gunther Schmidt, Rudolf Berghammer
IJAC
2002
128views more  IJAC 2002»
13 years 4 months ago
Computational Complexity of Generators and Nongenerators in Algebra
Abstract. We discuss the computational complexity of several problems concerning subsets of an algebraic structure that generate the structure. We show that the problem of determin...
Clifford Bergman, Giora Slutzki
CSR
2007
Springer
13 years 11 months ago
Equivalence Problems for Circuits over Sets of Natural Numbers
We investigate the complexity of equivalence problems for {∪, ∩, − , +, ×}-circuits computing sets of natural numbers. These problems were first introduced by Stockmeyer an...
Christian Glaßer, Katrin Herr, Christian Rei...
INFOCOM
2002
IEEE
13 years 9 months ago
Beyond Routing: An Algebraic Approach to Network Coding
Abstract— In this paper we consider the issue of network capacity. The recent work by Li and Yeung examined the network capacity of multicast networks and related capacity to cut...
Muriel Médard, Ralf Koetter