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This article is cited in 4 scientific papers (total in 4 papers)
The predicate method to construct the Post lattice
D. N. Zhuk
Abstract:
We suggest a new way to construct the structure of all closed classes of two-valued logic. In contrast to classical approaches, in this research the functions of two-valued logic are auxiliary objects and the construction starts from the set of predicates.
DOI:
https://doi.org/10.4213/dm1147
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English version:
Discrete Mathematics and Applications, 2011, 21:3, 329–344
Bibliographic databases:
  
UDC:
519.7
Received: 28.01.2011
Citation:
D. N. Zhuk, “The predicate method to construct the Post lattice”, Diskr. Mat., 23:2 (2011), 115–128; Discrete Math. Appl., 21:3 (2011), 329–344
Citation in format AMSBIB
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\paper The predicate method to construct the Post lattice
\jour Diskr. Mat.
\yr 2011
\vol 23
\issue 2
\pages 115--128
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\crossref{https://doi.org/10.4213/dm1147}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2865913}
\elib{http://elibrary.ru/item.asp?id=20730390}
\transl
\jour Discrete Math. Appl.
\yr 2011
\vol 21
\issue 3
\pages 329--344
\crossref{https://doi.org/10.1515/DMA.2011.022}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79961074481}
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http://mi.mathnet.ru/eng/dm1147https://doi.org/10.4213/dm1147 http://mi.mathnet.ru/eng/dm/v23/i2/p115
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This publication is cited in the following articles:
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Zhuk D., “The cardinality of the set of all clones containing a given minimal clone”, 42nd IEEE International Symposium on Multiple-Valued Logic (ISMVL), International Symposium on Multiple-Valued Logic, 2012, 281–286
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Zhuk D., Moiseev S., “On the Clones Containing a Near-Unanimity Function”, 2013 IEEE 43rd International Symposium on Multiple-Valued Logic (Ismvl 2013), International Symposium on Multiple-Valued Logic, IEEE, 2013, 129–134
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Zhuk D.N., “Key (critical) relations preserved by a weak near-unanimity function”, Algebr. Universalis, 77:2 (2017), 191–235
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S. A. Komkov, “Moschnosti generiruyuschikh mnozhestv po operatsiyam iz klassov reshetki Posta”, Diskret. matem., 30:1 (2018), 19–38
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