×

Vector expansion transformation of logic algebra. (English) Zbl 0559.94012

Multiple-valued logic, Proc. 13th Int. Symp., Kyoto/Jap. 1983, 177-182 (1983).
[For the entire collection see Zbl 0553.00002.]
We analyse the mathematical structure of the vector expression of star algorithm, where the concept of vector expansion transformation is presented. We also describe this transformation which can be generalized to the general Boolean algebra as well as other logic systems. Virtually we demonstrate that the operation problems of general logic values can be transformed into those of binary Boolean expressions and advance calculation formulas of transformation under various situations. It is proved that this method is of certain significance in switching theory and in practical applications.

MSC:

94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010)

Citations:

Zbl 0553.00002