51 citations · 125 across the 28 of their papers we have counts for
15 papers · 1 filter
Pseudo-polynomial functions over finite distributive lattices
Miguel Couceiro, Tamás Waldhauser
In this paper we consider an aggregation model f: X1 x ... x Xn --> Y for arbitrary sets X1, ..., Xn and a finite distributive lattice Y, factorizable as f(x1, ..., xn) = p(u1(x1),…
A generalization of Goodstein's theorem: interpolation by polynomial functions of distributive lattices
Miguel Couceiro, Tamás Waldhauser
We consider the problem of interpolating functions partially defined over a distributive lattice, by means of lattice polynomial functions. Goodstein's theorem solves a particular…
Proofs of some binomial identities using the method of last squares
Mark Shattuck, Tamás Waldhauser
We give combinatorial proofs for some identities involving binomial sums that have no closed form.
Locally monotone Boolean and pseudo-Boolean functions
Miguel Couceiro, Jean-Luc Marichal, Tamás Waldhauser
We propose local versions of monotonicity for Boolean and pseudo-Boolean functions: say that a pseudo-Boolean (Boolean) function is p-locally monotone if none of its partial deriva…
Additive decomposability of functions over abelian groups
Miguel Couceiro, Erkko Lehtonen, Tamás Waldhauser
Abelian groups are classified by the existence of certain additive decompositions of group-valued functions of several variables with arity gap 2.
On the arity gap of polynomial functions
Miguel Couceiro, Erkko Lehtonen, Tamás Waldhauser
The authors' previous results on the arity gap of functions of several variables are refined by considering polynomial functions over arbitrary fields. We explicitly describe the p…