Titlebook: Boolean Functions; With Engineering App Winfrid G. Schneeweiss Book 1989 Springer-Verlag Berlin Heidelberg 1989 Algebra.Markov.Markov model

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Fundamental Concepts,In this introductory chapter a number of basic concepts, which are needed in almost all of the following chapters, are presented. Among these concepts are, first of all, those of Boolean variables and Boolean functions of these variables. Next, axioms and further fundamental laws of Boolean algebra are discussed.

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Minimal Disjunctive Normal Forms,The optimization of Boolean functions is a wide field. One of the few regions where results have achieved a definite appraisal is the minimization of DNFs. Primarily developed for switching circuit synthesis, it has become of some importance also in fault tree analysis (in reliability theory).

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Representations (Forms) and Types of Boolean Functions,he search for canonical representations, which are unique. Hence two different representations can be shown to be the same function by transforming them to the same canonical form. (The function table would be a trivial ultima ratio to this end.)