On the Structure of Valiant's Complexity Classes

In Valiant developed an algebraic analogue of the theory of NP-completeness for computations of polynomials over a field. We further develop this theory in the spirit of structural complexity and obtain analogues of well-known results by Baker, Gill, and Solovay, Ladner, and Schöning. We show...

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Bibliographic Details
Main Author: Peter Bürgisser
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 1999-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/99

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