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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018 Number 5, Pages 22–28 (Mi vmumm571)

Mathematics

Cardinality of the set of delta-closed classes of functions of à multi-valued logic

D. E. Starodubtsev

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: On the set of functions of $k$-valued logic, a closure under composition operation and light version of inversion operation is considered. The cardinality of the set of all such closed classes is calculated.

Key words: $k$-valued logic, closed classes, closure operator, inversion operation, extension of composition operation.

UDC: 519.716.5

Received: 29.11.2017


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2018, 73:5, 190–195

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© Steklov Math. Inst. of RAS, 2024