Abstract:Recently Hrubeš and Yehudayoff [HY21] showed a connection between the monotone algebraic circuit complexity of transparent polynomials and a geometric complexity measure of their Newton polytope. They then used this connection to prove lower bounds against monotone VP (mVP). We extend their work by showing that their technique can be used to prove lower bounds against classes that are seemingly more powerful than monotone VNP (mVNP).In the process, we define a natural monotone analogue of VPSPACE -a well-studi… Show more
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