• DOI:10.1145/3209663
Corpus ID: 12910779

On Algebraic Branching Programs of Small Width

@article{Bringmann2018OnAB,
  title={On Algebraic Branching Programs of Small Width},
  author={K. Bringmann and Christian Ikenmeyer and Jeroen Zuiddam},
  journal={ArXiv},
  year={2018},
  volume={abs/1702.05328}
}

• K. Bringmann, Christian Ikenmeyer, Jeroen Zuiddam
• Published 2018
• Computer Science, Mathematics
• ArXiv

In 1979, Valiant showed that the complexity class VPe of families with polynomially bounded formula size is contained in the class VPs of families that have algebraic branching programs (ABPs) of polynomially bounded size. Motivated by the problem of separating these classes, we study the topological closure VPe, i.e., the class of polynomials that can be approximated arbitrarily closely by polynomials in VPe. We describe VPe using the well-known continuant polynomial (in characteristic… Expand

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