Mathematics > Combinatorics
[Submitted on 11 Sep 2022 (v1), last revised 3 Oct 2023 (this version, v2)]
Title:Nearly all $k$-SAT functions are unate
View PDFAbstract:We prove that $1-o(1)$ fraction of all $k$-SAT functions on $n$ Boolean variables are unate (i.e., monotone after first negating some variables), for any fixed positive integer $k$ and as $n \to \infty$. This resolves a conjecture by Bollobás, Brightwell, and Leader from 2003.
Submission history
From: Nitya Mani [view email][v1] Sun, 11 Sep 2022 15:28:54 UTC (10 KB)
[v2] Tue, 3 Oct 2023 14:52:48 UTC (43 KB)
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