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» A constructive version of Birkhoff's theorem
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CIE
2005
Springer
14 years 1 months ago
A Logical Approach to Abstract Algebra
L APPROACH TO ABSTRACT ALGEBRA THIERRY COQUAND AND HENRI LOMBARDI Recent work in constructive mathematics show that Hilbert’s program works rge part of abstract algebra. Using in...
Thierry Coquand
CIE
2006
Springer
13 years 9 months ago
Do Noetherian Modules Have Noetherian Basis Functions?
In Bishop-style constructive algebra it is known that if a module over a commutative ring has a Noetherian basis function, then it is Noetherian. Using countable choice we prove th...
Peter Schuster, Júlia Zappe
AMC
2006
89views more  AMC 2006»
13 years 7 months ago
A functional computation model for the duality of two-variable Lambda-Boolean functions
This paper presents a new functional computation model for developing a class of two-variable Lambda-Boolean functions, and describes the properties of the duality principle on th...
Tolga Güyer, Seref Mirasyedioglu
EUROCRYPT
2010
Springer
14 years 10 days ago
Converting Pairing-Based Cryptosystems from Composite-Order Groups to Prime-Order Groups
We develop an abstract framework that encompasses the key properties of bilinear groups of composite order that are required to construct secure pairing-based cryptosystems, and we...
David Mandell Freeman
SIAMAM
2002
129views more  SIAMAM 2002»
13 years 7 months ago
Periodic Wavelet Transforms and Periodicity Detection
The theory of periodic wavelet transforms presented here was originally developed to deal with the problem of epileptic seizure prediction. A central theorem in the theory is the c...
Götz E. Pfander, John J. Benedetto