Lower Bound of Circuit Complexity of Parity Function in a Basis of Unbounded Fan-In

The paper is focused on the implementation of parity functions by circuits in the basis . This basis consists of all gates that implement functions of the form . It is proved that every circuit in implementing a parity function of variables contains at least gates.

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Vydané v:Moscow University mathematics bulletin Ročník 76; číslo 6; s. 266 - 270
Hlavný autor: Kombarov, Yu. A.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Moscow Pleiades Publishing 01.12.2021
Springer Nature B.V
Predmet:
Analysis
Gates (circuits)
Lower bounds
Mathematical analysis
Mathematics
Mathematics and Statistics
Parity
circuit complexity
parity function
minimal circuit
Boolean circuits
ISSN:0027-1322, 1934-8444
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Shrnutí:The paper is focused on the implementation of parity functions by circuits in the basis . This basis consists of all gates that implement functions of the form . It is proved that every circuit in implementing a parity function of variables contains at least gates.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0027-1322
1934-8444
DOI:10.3103/S002713222106005X