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NDJFL
2010
12 years 11 months ago
Decidability and Computability of Certain Torsion-Free Abelian Groups
We study completely decomposable torsion-free abelian groups of the form GS := nSQpn for sets S . We show that GS has a decidable copy if and only if S is 0 2 and has a computable...
Rodney G. Downey, Sergei S. Goncharov, Asher M. Ka...
QCQC
1998
Springer
110views Communications» more  QCQC 1998»
13 years 8 months ago
The Hidden Subgroup Problem and Eigenvalue Estimation on a Quantum Computer
Abstract. A quantum computer can efficiently find the order of an element in a group, factors of composite integers, discrete logarithms, stabilisers in Abelian groups, and hidden ...
Michele Mosca, Artur Ekert
CIE
2010
Springer
13 years 4 months ago
Computable Ordered Abelian Groups and Fields
Abstract. We present transformations of linearly ordered sets into ordered abelian groups and ordered fields. We study effective properties of the transformations. In particular, w...
Alexander G. Melnikov
RTA
2009
Springer
13 years 11 months ago
Protocol Security and Algebraic Properties: Decision Results for a Bounded Number of Sessions
Abstract. We consider the problem of deciding the security of cryptographic protocols for a bounded number of sessions, taking into account some algebraic properties of the securit...
Sergiu Bursuc, Hubert Comon-Lundh
BIRTHDAY
2006
Springer
13 years 8 months ago
Finitely Presented Abelian Lattice-Ordered Groups
We give necessary and sufficient conditions for the first-order theory of a finitely presented abelian lattice-ordered group to be decidable. We also show that if the number of gen...
Andrew M. W. Glass, Françoise Point