Erkko Lehtonen

Descending chains and antichains of the unary, linear, and monotone subfunction relations

The

Generalizations of Świerczkowski's lemma and the arity gap of finite functions

{\mathcal C}

Equivalence of operations with respect to discriminator clones

-subfunction relations on the set of operations on a finite base set

On the effect of variable identification on the essential arity of functions on finite sets

A

Labeled posets are universal

defined by function classes

Associative string functions

{\mathcal C}

Decompositions of functions based on arity gap

are examined. For certain clones

Galois theory for sets of operations closed under permutation, cylindrification, and composition

{\mathcal C}

On the homomorphism order of labeled posets

on

The Arity Gap of Polynomial Functions over Bounded Distributive Lattices

A