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...
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 ...
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...
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...
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...