RUS  ENG
Full version
JOURNALS // Intelligent systems. Theory and applications // Archive

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

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.



© Steklov Math. Inst. of RAS, 2024