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Circuits arithmétiques et calculs tensoriels

  • Guillaume Malod (a1)
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.

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* Adresse actuelle : Équipe de logique mathématique, Université Paris Diderot, UFR de mathématiques case 7012, site Chevaleret, 75205 Paris Cedex 13, France (). Ce travail a été effectué durant un séjour postdoctoral à l'université de Kyoto (Japon), financé par une bourse de la JSPS.

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Journal of the Institute of Mathematics of Jussieu
  • ISSN: 1474-7480
  • EISSN: 1475-3030
  • URL: /core/journals/journal-of-the-institute-of-mathematics-of-jussieu
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