Positively closed classes of three-valued logic generated by one-place functions
Diskretnaya Matematika, Tome 21 (2009) no. 3, pp. 37-44
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We consider the positive closure operator on the set $P_3$ of functions of three-valued logic. It is shown that in $P_3$ there are exactly 51 positively closed classes positively generated by one-place functions, 26 of these classes are generated by a single one-place function (including one of the positively precomplete in $P_3$ classes), and 25 classes are generated by two functions (including the class $P_3$ and the remaining 9 positively precomplete classes).
@article{DM_2009_21_3_a4,
author = {S. S. Marchenkov},
title = {Positively closed classes of three-valued logic generated by one-place functions},
journal = {Diskretnaya Matematika},
pages = {37--44},
publisher = {mathdoc},
volume = {21},
number = {3},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2009_21_3_a4/}
}
S. S. Marchenkov. Positively closed classes of three-valued logic generated by one-place functions. Diskretnaya Matematika, Tome 21 (2009) no. 3, pp. 37-44. http://geodesic.mathdoc.fr/item/DM_2009_21_3_a4/