Majority-closed minions of Boolean functions

preprint2021arXivOpen access

Abstract

The 93 minions of Boolean functions stable under left composition with the clone of self-dual monotone functions are described. As an easy consequence, all (C1,C2)(C_1,C_2)-stable classes of Boolean functions are determined for an arbitrary clone C1C_1 and for any clone C2C_2 containing the clone of self-dual monotone functions.

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