Boolean Differential Calculus and its Application to Switching Theory

  • Authors:
  • A. Thayse;M. Davio

  • Affiliations:
  • Research Laboratory, Manufacture Belge de Lampes et de Materiel Electronique;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1973

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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.