Abstract :
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.
Keywords :
Boolean difference, Boolean differential calculus, discrete Fourier transform, fault diagnosis, hazard detection, prime implicants, simple decomposition, Taylor-Reed expansions.; Boolean functions; Calculus; Differential algebraic equations; Discrete Fourier transforms; Fault detection; Fault diagnosis; Hazards; Manufacturing; Matrices; Switching circuits; Boolean difference, Boolean differential calculus, discrete Fourier transform, fault diagnosis, hazard detection, prime implicants, simple decomposition, Taylor-Reed expansions.;
