by Alexander Razborov, Avi Wigderson
Information Processing Letters
http://www.cs.huji.ac.il/~avi/RaW.ps
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Abstract:
to appear in Information Processing Letters We present a function in ACC 0 such that any depth 3 threshold circuit which computes this function and has AND gates at the bottom must have size n\Omega\Gamma607 n)
Citations
|
157
|
Separating the polynomial-time hierarchy by oracles
– Yao
- 1985
|
|
125
|
Computational limitations on small depth circuits
– H˚astad
- 1986
|
|
115
|
Parity, circuits and the polynomial time hierarchy
– Furst, Saxe, et al.
- 1984
|
|
108
|
Threshold circuits of bounded depth
– Hajnal, Maass, et al.
- 1987
|
|
84
|
On ACC and threshold circuits
– Yao
- 1990
|
|
68
|
On the power of small-depth threshold circuits
– H˚astad, Goldmann
- 1991
|
|
66
|
Majority gates vs. general weighted threshold gates
– Goldmann, H˚astad, et al.
- 1992
|
|
48
|
Variation Ranks of Communication Matrices and Lower Bounds for Depth Two Circuits Having Symmetric Gates with Unbounded Fan-In. FOCS 777–782
– Krause, Waack
- 1991
|
|
44
|
Multiparty protocols and logspace-hard pseudorandom sequences
– Babai, Nisan, et al.
- 1989
|
|
22
|
On proving super-logarithmic depth lower bounds via the direct sum in communication complexity
– Karchmer, Raz, et al.
- 1991
|
|
14
|
Geometric arguments yield better bounds for threshold circuits and distributed computing
– Krause
- 1991
|
|
14
|
On small depth threshold circuits
– Razborov
- 1992
|
|
5
|
O metode poluqeni bolee qem kvadratiqnyh ninih ocenok dl slonosti -shem. Vestnik MGU, ser. matem i mehan., t
– Andreev
- 1987
|