An \(\Omega (n^{4/3})\) lower bound on the monotone network complexity of the \(n\)-th degree convolution (Q1066118)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: An \(\Omega (n^{4/3})\) lower bound on the monotone network complexity of the \(n\)-th degree convolution |
scientific article; zbMATH DE number 3924678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An \(\Omega (n^{4/3})\) lower bound on the monotone network complexity of the \(n\)-th degree convolution |
scientific article; zbMATH DE number 3924678 |
Statements
An \(\Omega (n^{4/3})\) lower bound on the monotone network complexity of the \(n\)-th degree convolution (English)
0 references
1985
0 references
The main result establishes an \(\Omega (n^{4/3})\) lower bound on the number of \(\wedge\)-gates in any monotone network computing Boolean convolution of two Boolean n-vectors. The proof is based on a normal form of monotone networks introduced by the author.
0 references
Boolean function
0 references
and-gate
0 references
Boolean vector
0 references
Boolean convolution
0 references
normal form
0 references
