English

Majority-closed minions of Boolean functions

Rings and Algebras 2021-02-04 v1 Combinatorics

Abstract

The 93 minions of Boolean functions stable under left composition with the clone of self-dual monotone functions are described. As an easy consequence, all (C1,C2)(C_1,C_2)-stable classes of Boolean functions are determined for an arbitrary clone C1C_1 and for any clone C2C_2 containing the clone of self-dual monotone functions.

Cite

@article{arxiv.2102.01959,
  title  = {Majority-closed minions of Boolean functions},
  author = {Erkko Lehtonen},
  journal= {arXiv preprint arXiv:2102.01959},
  year   = {2021}
}

Comments

37 pages, 3 figures, 1 table

R2 v1 2026-06-23T22:47:40.098Z