An Almost Cubic Lower Bound for ΣΠΣ Circuits Computing a Polynomial in VP

نویسندگان

  • Nikhil Balaji
  • Nutan Limaye
  • Srikanth Srinivasan
چکیده

In this note, we prove that there is an explicit polynomial in VP such that any ΣΠΣ arithmetic circuit computing it must have size at least n3−o(1). Up to n factors, this strengthens a recent result of Kayal, Saha and Tavenas (ICALP 2016) which gives a polynomial in VNP with the property that any ΣΠΣ arithmetic circuit computing it must have size Ω̃(n).

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عنوان ژورنال:
  • Electronic Colloquium on Computational Complexity (ECCC)

دوره 23  شماره 

صفحات  -

تاریخ انتشار 2016