Titlebook: Lattice Functions and Equations; Sergiu Rudeanu Book 2001 Springer-Verlag London 2001 Algebra.Boolean Algebras.Boolean algebra.Boolean fun

现晕光

its organization and relations with the following chapters..This book provides an introduction to complex analysis in several variables. The viewpoint of integral representation theory together with Grauert‘s bumping method offers a natural extension of single variable techniques to several variabl

随意

Exotic equations,bout equations in general, with no specification at all. Yet we are going to show that the fundamental concepts of reproductive solution and general reproductive solution, extensively studied in the theory of Boolean equations, apply to the most general concept of equation as well, yielding actually

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Lattices, class of bounded distributive lattices and in certain subclasses, mainly (relatively) pseudocomplemented lattices, Post algebras and Boolean algebras. The aim of the present chapter is to carry out this program for bounded distributive lattices, pseudocomplemented distributive lattices, relatively

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Post algebras,ebras. Ever since then Post algebras and their generalizations have been intensively studied; see e.g. Serfati [1973b], Balbes and Dwinger [1974], Rasiowa [1974], Boicescu, Filipoiu, Georgescu and Rudeanu [1991] and the literature quoted therein.

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Closure operators on Boolean functions,ning all necessary prerequisites on closure operators in general. Then we present, within the framework of arbitrary Boolean functions, some specific closures (increasing, decreasing, independent and simple) with an application to the problem of determining a partially defined Boolean function from

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Boolean transformations,r we use the same tool in order to study functional dependence of Boolean functions. We point out a natural concept of dependence of a family of Boolean functions and a stronger concept which turns out to be the Moore-Marczewski concept of dependence. Then we investigate Boolean transformations . →

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Decomposition of Boolean functions,nsive study of the decomposition of truth functions (usually referred to as Boolean functions). Roughly speaking, this problem consists in expressing an arbitrary truth function by means of other (convenient) truth functions. In BFE, Chapter 16, §1, we have reported a few methods and results in this