Homogeneous Algebraic Complexity Theory and Algebraic Formulas

We study algebraic complexity classes and their complete polynomials under \emph{homogeneous linear} projections, not just under the usual affine linear projections that were originally introduced by Valiant in 1979. These reductions are weaker yet more natural from a geometric complexity theory (GC...

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Veröffentlicht in:	arXiv.org 2023-11
Hauptverfasser:	Dutta, Pranjal, Gesmundo, Fulvio, Ikenmeyer, Christian, Jindal, Gorav, Lysikov, Vladimir
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Complexity theory Computer Science - Computational Complexity Formulations Mathematical analysis Mathematics - Algebraic Geometry Matrices (mathematics) Polynomials
Online-Zugang:	Volltext
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