On read-once closed classes of Boolean functions inducing some transformations of rational probabilities

E. E. Trifonova

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow

Abstract: We consider classes of Boolean functions inducing different types of probability functions. We prove that each of this classes is read-once closed. We study various properties of these classes, including their place in the Post's lattice.

Keywords: read-once closed class of Boolean functions, Bernoulli random variable, random variable transformation.

UDC: 519.716.5

Received: 02.12.2024

DOI: 10.4213/dm1858