Lower Bounds for the Permanent in Arithmetic Circuits
an n^4/log n formula lower bound; VP vs VNP remains wide open
theoretical-computer-science / Algebraic complexity
How large must arithmetic circuits and formulas computing the $n \times n$ permanent be? New lower bounds include an arithmetic-formula bound of order $n^4/\log n$, far beyond the quadratic barrier that stood for decades.
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an n^4/log n formula lower bound; VP vs VNP remains wide open
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How large must arithmetic circuits and formulas computing the $n \times n$ permanent be? New lower bounds include an arithmetic-formula bound of order $n^4/\log n$, far beyond the quadratic barrier that stood for decades.
an n^4/log n formula lower bound; VP vs VNP remains wide open
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