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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 1, Pages 135–144
DOI: https://doi.org/10.7868/S0044466915010196 (Mi zvmmf10141) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Binary functions of multivalued arguments: generalization and investigation of disjunctive normal forms for such functions

A. V. Panov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia
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DOI: https://doi.org/10.7868/S0044466915010196
Abstract: The theory of disjunctive normal forms is generalized to binary functions of multivalued arguments. Fundamental concepts and properties of these generalizations are considered. An efficient method for constructing disjunctive normal forms for binary functions of multivalued arguments with a small number of zeros is proposed. Disjunctive normal forms of an analogue of the Yablonsky function are studied in detail.
Key words: disjunctive normal forms, binary functions of multivalued arguments, Boolean functions, $k$-valued logic, functions with few zeros, Yablonsky’s formula.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00824
14-07-00965
Received: 05.03.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 1, Pages 131–139
DOI: https://doi.org/10.1134/S0965542515010194
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: A. V. Panov, “Binary functions of multivalued arguments: generalization and investigation of disjunctive normal forms for such functions”, Zh. Vychisl. Mat. Mat. Fiz., 55:1 (2015), 135–144; Comput. Math. Math. Phys., 55:1 (2015), 131–139
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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