Reversible k-valued logic circuits are finitely generated for odd k

preprint2016arXivOpen access

Abstract

In his 2003 paper "Towards an algebraic theory of Boolean circuits", Lafont notes that the class of reversible circuits over a set of k truth values is finitely generated when k is odd. He cites a private communication for the proof. The purpose of this short note is to make the content of that communication available.

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