In this book binary functions and their representation by
implicants or implicates are described. In particular minimal
representations by prime implicants or prime implicates are given.
Such representations generalize the minimal representations of the
usual Boolean functions. It is shown that implicants (implicates)
of discrete functions may be constructed with the help of
implicants (implicates) of binary functions. One substantial
application is the description of the reliability structure of
technical systems, another is the use of binary respectively
discrete functions to classify objects which are described by the
grades of certain attributes. Finally a class of Boolean algebras
of practical importance (set algebras, indicator algebras, algebras
of classes of propositions) are considered. The elements of such
algebras have representations which are strongly connected with the
representations of binary functions.
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