We present a purely functional implementation of the computational differentiation tools — the well known numeric (i.e., not symbolic) techniques which permit one to compute poin...
Data Dependence Abstractions for Loop Transformations Yi-Qing Yang Corinne Ancourt Francois Irigoin Ecole des Mines de Paris/CRI 77305 Fontainebleau Cedex France tractions of prog...
We provide two certificates of convexity for arbitrary basic closed semi-algebraic sets of Rn. The first one is based on a necessary and sufficient condition whereas the second one...
Abstract. The same methodology is used to develop 3 different applications. We begin by using a very expressive, appropriate Domain Specific Language, to write down precise problem...
Jacques Carette, Spencer Smith, John McCutchan, Ch...
Polyhedral analysis [9] is an abstract interpretation used for automatic discovery of invariant linear inequalities among numerical varia program. Convexity of this abstract domain...