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Diskr. Mat., 2015, Volume 27, Issue 1, Pages 73–97 (Mi dm1316)  

Complexity of implementation of parity functions in the implication–negation basis

Yu. A. Kombarov

Lomonosov Moscow State University

Abstract: The paper is concerned with circuits in the basis $\{x \to y, \overline{x}\}$. The exact value of the complexity of implementation of an even parity function is obtained and the minimal circuits implementing an odd parity function are described.

Keywords: circuit, parity function, minimal circuit, complexity circuits.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-00598


DOI: https://doi.org/10.4213/dm1316

Full text: PDF file (712 kB)
References: PDF file   HTML file

English version:
Discrete Mathematics and Applications, 2015, 25:4, 211–231

Bibliographic databases:

UDC: 519.714.4
Received: 17.09.2014

Citation: Yu. A. Kombarov, “Complexity of implementation of parity functions in the implication–negation basis”, Diskr. Mat., 27:1 (2015), 73–97; Discrete Math. Appl., 25:4 (2015), 211–231

Citation in format AMSBIB
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