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• W2039921034 abstract "The class composition C ∘ K of Boolean clones, being the set of composite functions f ( g 1 , … , g n ) with f ∈ C , g 1 , … , g n ∈ K , is investigated. This composition C ∘ K is either the join C ∨ K in the Post Lattice or it is not a clone, and all pairs of clones C , K are classified accordingly. Factorizations of the clone Ω of all Boolean functions as a composition of minimal clones are described and seen to correspond to normal form representations of Boolean functions. The median normal form, arising from the factorization of Ω with the clone SM of self-dual monotone functions as the leftmost composition factor, is compared in terms of complexity with the well-known DNF, CNF, and Zhegalkin (Reed–Muller) polynomial representations, and it is shown to provide a more efficient normal form representation." @default.
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• W2039921034 date "2006-12-01" @default.
• W2039921034 modified "2023-09-29" @default.
• W2039921034 title "Composition of Post classes and normal forms of Boolean functions" @default.
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• W2039921034 doi "https://doi.org/10.1016/j.disc.2006.06.014" @default.
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