Bounded alternitions formulas Ocs

11 SMonotone circuits

Formal correctness a yI µ

i

t HN n un

se K 1 Kc vs Nc

Perrin M II MiniDetCMI signed II mini 0k tire

t.it wPermrWeGiIsiu

2 Every arithmeticcivil of six S computing ply of degree d

caksimletedbysizepofcslgdepthochys.byffCxy0 ginsizes ii o EI

U

Perm n fCu gcn 2

Claim flu y aln t bln gacmtu.int v n

Perm n kiln Vick where ngedeglui E 2

ti

Observations deglui t degCvi n

A set of rows that contrib variable to uiC

B al hi X

rowsUi n

Dc Col vital

Fact Anc 01 Bnp _0

FA IAI IBI ICI IDI

of

Say deg nik ngE k E

2

Hui can generate at most

n k monomialsT kittens

Uh

einn 1

E k

so 57 g2N