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Boolean Differential Calculus and its Application to Switching Theory
April 1973 (vol. 22 no. 4)
pp. 409-420
A. Thayse, Research Laboratory, Manufacture Belge de Lampes et de Materiel Electronique
After a brief outline of classical concepts relative to Boolean differential calculus, a theoretical study of the main differential operators is undertaken. Algebraic equations relating the classical concepts of prime implicants and of the discrete Fourier transform of a Boolean function to the differential operators are derived. Application of these concepts to several important problems arising in switching practice is mentioned.
Index Terms:
Boolean difference, Boolean differential calculus, discrete Fourier transform, fault diagnosis, hazard detection, prime implicants, simple decomposition, Taylor-Reed expansions.
Citation:
A. Thayse, M. Davio, "Boolean Differential Calculus and its Application to Switching Theory," IEEE Transactions on Computers, vol. 22, no. 4, pp. 409-420, April 1973, doi:10.1109/T-C.1973.223729
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