English

Near-unanimity-closed minions of Boolean functions

Rings and Algebras 2024-12-02 v2 Combinatorics

Abstract

The near-unanimity-closed minions of Boolean functions, i.e., the clonoids whose target algebra contains a near-unanimity function, are completely described. The key concept towards this result is the minorant-minor partial order and its order ideals.

Keywords

Cite

@article{arxiv.2305.12904,
  title  = {Near-unanimity-closed minions of Boolean functions},
  author = {Erkko Lehtonen},
  journal= {arXiv preprint arXiv:2305.12904},
  year   = {2024}
}

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45 pages