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Intelligent systems. Theory and applications, 2018, Volume 22, Issue 2, Pages 83–112 (Mi ista19)  

The lattice of all clones on the three-element set containing functions $0, 1, 2, \min, \max$

S. V. Moiseev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: His paper describes the lattice of all clones on the three-element set that contain all constant functions $0, 1, 2$ and functions $\min, \max$. The clones are characterized as sets of predicates being preserved by them.
Keywords: clone theory, lattice of clones, three-valued logic.
Document Type: Article
Language: Russian
Citation: S. V. Moiseev, “The lattice of all clones on the three-element set containing functions $0, 1, 2, \min, \max$”, Intelligent systems. Theory and applications, 22:2 (2018), 83–112
Citation in format AMSBIB
\Bibitem{Moi18}
\by S.~V.~Moiseev
\paper The lattice of all clones on the three-element set containing functions $0, 1, 2, \min, \max$
\jour Intelligent systems. Theory and applications
\yr 2018
\vol 22
\issue 2
\pages 83--112
\mathnet{http://mi.mathnet.ru/ista19}
Linking options:
  • https://www.mathnet.ru/eng/ista19
  • https://www.mathnet.ru/eng/ista/v22/i2/p83
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    Intelligent systems. Theory and applications
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