Posets of minors of functions in multiple-valued logic
Lehtonen, Erkko; Waldhauser, Tamás
2017 IEEE 47th International Symposium on Multiple-Valued Logic (ISMVL 2017), IEEE Computer Society, Los Alamitos, (2017), 43–48
We study the structure of the partially ordered set of minors of an arbitrary function of several variables. We give an abstract characterization of such "minor posets" in terms of colorings of partition lattices, and we also present infinite families of examples as well as constructions that can be used to build new minor posets.