On the interval between the clone of all Boolean operations preserving 0 and 1 and the clone of all multioperations

On the interval between the clone of all Boolean operations preserving 0 and 1 and the clone of all multioperations

(Russian, English abstract)

Panteleev V. I., Haltanova S. Yu.
Siberian Electronic Mathematical Reports, 22, 2, pp. 1566-1583 (2025)

УДК 519.716 
DOI: 10.33048/semi.2025.22.095  
MSC 08A40


Abstract:

The paper considers multioperations defined on a two-element set and describes the interval between the clone of Boolean operations preserving 0 and 1 and the clone of all multioperations. It is shown that this interval contains 108 clones.

Keywords: multifunction, multioperation, parametric closure, composition, completeness criterion, interval