Circuits arithmétiques et calculs tensoriels
Guillaume Malod · Journal of the Institute of Mathematics of Jussieu · 2008
Abstract The classes in Valiant's theory are classes of polynomials defined by arithmetic circuits. We characterize them by different notions of tensor calculus, in the vein of Damm, Holzer and McKenzie. This characterization underlines in particular the role played by properties of parallelization in these classes. We also give a first natural complete sequence for the class VPnb, the analogue of the class P in this context.