The solution to the Boolean matrix question is reviewed. It is then shown how a transformation of Boolean variables may be considered as multiplication by a column-permuting, or “unitary”, matrix. The problem of how a synchronous recursive circuit can be designed given the sequence of output functions is solved through Boolean matrices. Boolean and Post multivalued-logic matrices are shown to analyze threshold-logic circuits and to effect a change in threshold.
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Ledley et al. (1964) studied this question.
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