Decisive venn diagrams

George Epstein · International Symposium on Multiple-Valued Logic · 1976

The use of Venn diagrams as a pictorial aid in representing Boolean functions is well known. For n variables, 2n regions are pictured, each of which can assume one of two possible values. Such representations aid in the simplification or identification of Boolean functions, as do Karnaugh maps and other kinds of pictorial aids which are in current use. Attempts to modify these 2-valued Venn diagrams are generally based upon approaches which either (1) change the number of values which can be assumed in each region, or (2) change the number of regions themselves. Decisive Venn diagrams fall into this latter class, where the number of regions can be changed but only 2 values can be assumed in each region. These diagrams are referred to as decisive, after a similar usage by N. Rescher for truth tables [p. 61, 14].

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