English

Counting interval sizes in the poset of monotone Boolean functions

Combinatorics 2023-11-27 v2

Abstract

We focus on the computational aspects of counting interval sizes in the poset DnD_n, which represents all monotone Boolean functions of nn variables. We present a resource-aware algorithm enabling the calculation of interval sizes in D7D_7.

Keywords

Cite

@article{arxiv.2311.11744,
  title  = {Counting interval sizes in the poset of monotone Boolean functions},
  author = {Bartłomiej Pawelski},
  journal= {arXiv preprint arXiv:2311.11744},
  year   = {2023}
}