English

The Dayenu Boolean Function Is Almost Always True!

History and Overview 2017-04-14 v1

Abstract

The Boolean function implicit in the famous Dayenu song, sung at the Passover meal, is expressed in full conjunctive normal form, and it is proved that if there are n miracles the number of truth-vectors satisfying it is 2n(n+1)2^n -(n+1).

Cite

@article{arxiv.1704.04143,
  title  = {The Dayenu Boolean Function Is Almost Always True!},
  author = {Doron Zeilberger},
  journal= {arXiv preprint arXiv:1704.04143},
  year   = {2017}
}

Comments

3 pages

R2 v1 2026-06-22T19:16:45.369Z