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cs.CC2017★ 8 cited
Towards an algebraic natural proofs barrier via polynomial identity testing
Joshua A. Grochow, Mrinal Kumar, Michael Saks +1
We observe that a certain kind of algebraic proof - which covers essentially all known algebraic circuit lower bounds to date - cannot be used to prove lower bounds against VP if a…
cs.CC2015★ 5 cited
Sums of products of polynomials in few variables : lower bounds and polynomial identity testing
Mrinal Kumar, Shubhangi Saraf
We study the complexity of representing polynomials as a sum of products of polynomials in few variables. More precisely, we study representations of the form $$P = \sum_{i = 1}^T…