Geodesic
Cardinality of the set of delta-closed classes of functions of а multi-valued logic
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2018), pp. 22-28 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {D. E. Starodubtsev},
     title = {Cardinality of the set of delta-closed classes of functions of {\cyra} multi-valued logic},
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D. E. Starodubtsev. Cardinality of the set of delta-closed classes of functions of а multi-valued logic. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2018), pp. 22-28. http://geodesic.mathdoc.fr/item/VMUMM_2018_5_a3/

[1] Yablonskii S.V., Vvedenie v diskretnuyu matematiku, Vysshaya shkola, M., 2001

[2] Lau D., Function algebras on finite sets: a basic course on many-valued logic and clone theory, Springer, Berlin, 2006 | MR | Zbl

[3] Post E.L., “Introduction to a general theory of elementary propositions”, Amer. J. Math., 43:3 (1921), 163–185 | DOI | MR | Zbl

[4] Post E.L., The two-valued iterative systems of mathematical logic, Ann. Math. Stud., 5, 1941 | MR | Zbl

[5] Yanov Yu.I., Muchnik A.A., “O suschestvovanii $k$-znachnykh zamknutykh klassov, ne imeyuschikh konechnogo bazisa”, Dokl. AN SSSR, 127:1 (1959), 44–46 | Zbl

[6] Ugolnikov A.B., “O nekotorykh zadachakh v oblasti mnogoznachnykh logik”, Mat-ly X Mezhdunar. seminara “Diskretnaya matematika i ee prilozheniya” (Moskva, MGU, 1–6 fevralya 2010 g.), ed. O. M. Kasim-Zade, Izd-vo TsPI pri mekh.-mat. f-te MGU, M., 2010, 18–34

[7] Starodubtsev D.E., “Klassy funktsii mnogoznachnoi logiki, zamknutye otnositelno operatsii superpozitsii i obrascheniya”, Vestn. Mosk. un-ta. Matem. Mekhan., 2017, no. 2, 3–6 | MR