English

Set-reconstructibility of Post classes

Combinatorics 2016-11-22 v1 Rings and Algebras

Abstract

The clones of Boolean functions are classified in regard to set-reconstructibility via a strong dichotomy result: the clones containing only affine functions, conjunctions, disjunctions or constant functions are set-reconstructible, whereas the remaing clones are not weakly reconstructible.

Cite

@article{arxiv.1310.7797,
  title  = {Set-reconstructibility of Post classes},
  author = {Miguel Couceiro and Erkko Lehtonen and Karsten Schölzel},
  journal= {arXiv preprint arXiv:1310.7797},
  year   = {2016}
}

Comments

8 pages. arXiv admin note: text overlap with arXiv:1306.5578

R2 v1 2026-06-22T01:56:33.404Z