A Dichotomy Theorem for Polynomial Evaluation - ENS de Lyon - École normale supérieure de Lyon Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2009

A Dichotomy Theorem for Polynomial Evaluation

Résumé

A dichotomy theorem for counting problems due to Creignou and Hermann states that or any nite set S of logical relations, the counting problem #SAT(S) is either in FP, or #P-complete. In the present paper we show a dichotomy theorem for polynomial evaluation. That is, we show that for a given set S, either there exists a VNP-complete family of polynomials associated to S, or the associated families of polynomials are all in VP. We give a concise characterization of the sets S that give rise to "easy" and "hard" polynomials. We also prove that several problems which were known to be #P-complete under Turing reductions only are in fact #P-complete under many-one reductions.
Fichier principal
Vignette du fichier
conference2.pdf (225.65 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

ensl-00360974 , version 1 (12-02-2009)
ensl-00360974 , version 2 (15-12-2009)

Identifiants

Citer

Irénée Briquel, Pascal Koiran. A Dichotomy Theorem for Polynomial Evaluation. 2009. ⟨ensl-00360974v1⟩
80 Consultations
227 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More