We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The socalled Polynomial Modular Number System (PMNS) allows for fast polyn...
Jean-Claude Bajard, Laurent Imbert, Thomas Plantar...
We describe a very simple “somewhat homomorphic” encryption scheme using only elementary modular arithmetic, and use Gentry’s techniques to convert it into a fully homomorph...
Marten van Dijk, Craig Gentry, Shai Halevi, Vinod ...
Usually, ranking function synthesis and invariant generation oop with integer variables involves abstracting the loop to have real variables. Integer division and modulo arithmetic...
Abstract. Shape analyses are often imprecise in their numerical reasoning, whereas numerical static analyses are often largely unaware of the shape of a program’s heap. In this p...
Stephen Magill, Josh Berdine, Edmund M. Clarke, By...
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...