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![](/common/images/spacer.gif) Monotone Modulo-m Functions: Using Mathematica to Find the Number of Monotone Modulo-m Functions for v Number of Variables
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Organization: | Columbus State University |
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![](/common/images/spacer.gif) 2006 Wolfram Technology Conference
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![](/common/images/spacer.gif) Champaign IL
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![](/common/images/spacer.gif) Every set of Boolean Functions of v variables has a subset of functions called Monotone Boolean Functions of v variables. A Boolean function m belongs to this subset if and only if
a <= b -> m[a] <= m[b]
In 1897, Richard Dedekind asked the question: How many Monotone Boolean Functions of a given number of variables are there?
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![](/common/images/spacer.gif) boolean functions
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| TechConf2006_Obando_presentation.nb (946.1 KB) - Mathematica Notebook [for Mathematica 5.2] |
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