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Intractability of Hilbert's Nullstellensatz implies algebraic hardness of permanent
We study the logical relation of the P-NP separation conjecture in the Blum-Shub-Smale-model over the complex numbers with the P-NP separation conjecture in Valiant's algebraic model. This amounts to comparing Hilbert's Nullstellensatz Problem, that is, deciding feasibility of a given system of poly
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