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Titlebook: Boolean Reasoning; The Logic of Boolean Frank Markham Brown Book 1990 Springer Science+Business Media New York 1990 Algebra of Logic.circui

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期刊全称Boolean Reasoning
期刊简称The Logic of Boolean
影响因子2023Frank Markham Brown
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图书封面Titlebook: Boolean Reasoning; The Logic of Boolean Frank Markham Brown Book 1990 Springer Science+Business Media New York 1990 Algebra of Logic.circui
影响因子This book is about the logic of Boolean equations. Such equations were central in the "algebra of logic" created in 1847 by Boole [12, 13] and devel­ oped by others, notably Schroder [178], in the remainder of the nineteenth century. Boolean equations are also the language by which digital circuits are described today. Logicians in the twentieth century have abandoned Boole‘s equation­ based logic in favor of the more powerful predicate calculus. As a result, digital engineers-and others who use Boole‘s language routinely-remain largely unaware of its utility as a medium for reasoning. The aim of this book, accordingly, is to is to present a systematic outline of the logic of Boolean equations, in the hope that Boole‘s methods may prove useful in solving present-day problems. Two Logical Languages Logic seeks to reduce reasoning to calculation. Two main languages have been developed to achieve that object: Boole‘s "algebra of logic" and the predicate calculus. Boole‘s approach was to represent classes (e. g. , happy creatures, things productive of pleasure) by symbols and to represent logical statements as equations to be solved. His formulation proved inadequate, however, to repre
Pindex Book 1990
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Springer Series in Solid-State Sciencesignals. We assume the circuit to be ., by which we mean that the value of . at any time is a function of the value of . at that time. A . circuit, on the other hand, is one for which the value of . may depend on past values of . as well as on its present value.
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Boolean Algebras, [35], Hohn [86], Kuntzmann [110], Svoboda . White [193], or Whitesitt [214]. Rudeanu’s text [172] is unique as a complete and modern treatment of Boolean functions and the solution of Boolean equations.
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The Blake Canonical Form,er 4). He chose the standard reduced form . = 0, where . is a Boolean function. Reasoning is carried out in Boole’s formulation by solving that equation for certain of its arguments in terms of others.
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Book 1990oped by others, notably Schroder [178], in the remainder of the nineteenth century. Boolean equations are also the language by which digital circuits are described today. Logicians in the twentieth century have abandoned Boole‘s equation­ based logic in favor of the more powerful predicate calculus.
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