The logic of Boolean matrices
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چکیده
منابع مشابه
Boolean Matrices . . . Neither Boolean nor Matrices
Boolean matrices, the incidence matrices of a graph, are known not to be the (universal) matrices of a Boolean algebra. Here, we also show that their usual composition cannot make them the matrices of any algebra. Yet, later on, we “show” that it can. This seeming paradox comes from the hidden intrusion of a widespread set-theoretical (mis) definition and notation and denies its harmlessness. A...
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where (~xn) ∈ B and B is a Boolean algebra. Only finite Boolean algebras are considered. The Boolean logic presented is based on the abstract Boolean algebra given by Huntington’s [14] postulates and on a special canonical form for a Boolean function given by Archie Blake [2]. The theory of reasoning is divided into functional and general parts, both of which seek antecedents or consequents of ...
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ژورنال
عنوان ژورنال: The Computer Journal
سال: 1972
ISSN: 0010-4620,1460-2067
DOI: 10.1093/comjnl/15.3.247