On two intervals in the lattice of partial ultraclones of rank 2
Keywords:
multifunction, Boolean function, monotone function, self-dual function, superposition, closed set, clone, partial ultraclone, lattice, interval of latticeAbstract
In article the intervals in the lattice of partial ultraclones
of rank 2 are considered. The well-known classes of all monotone M and
all self-dual S Boolean functions are partial ultraclones of rank 2. We
proved that each of the intervals I(M,M2 ) and I(S,M2 ), where M2 is
complete partial ultraclone of rank 2, is finite.
Published
2024-01-28
Issue
Section
Mathematical logic, algebra and number theory
