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Monotone Boolean functions capture their primes

2012/11/28 by Jean Bourgain, Bourgain, Jean
Computer Science · Mathematics · #semigroups and automata theory #Advanced Algebra and Logic #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.1211.6760

Abstract

It is shown that monotone Boolean functions on the Boolean cube capture the expected number of primes, under he usual identification by binary expansion. This answers a question posed by G.Kalai.

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