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Boolean Differential Calculus

In: Logic Functions and Equations

Author

Listed:
  • Christian Posthoff

    (The University of The West Indies)

  • Bernd Steinbach

    (Freiberg University of Technology)

Abstract

The Boolean Differential Calculus is a powerful theory based on definitions of differentials of Boolean variables and several differential operations and derivatives of logic functions. A monograph [Bochmann, D., Posthoff, Ch. 1981] of this calculus was published in German language. An early comprehensive English edition is [Davio, M., Deschamps, J., Thayse, A. 1978] . A huge amount of relationships and theorems opens a wide area of applications of the Boolean differential calculus. Always when changes of the values of Boolean variables or logic functions are important in the context of the problem to be solved, the Boolean Differential Calculus can help to find a solution. Such problems occur in the analysis as well as in the synthesis of logic functions. Another important application area is the test of digital systems where the key topic consists in changes by faults.

Suggested Citation

  • Christian Posthoff & Bernd Steinbach, 2004. "Boolean Differential Calculus," Springer Books, in: Logic Functions and Equations, chapter 0, pages 101-142, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4020-2938-7_4
    DOI: 10.1007/978-1-4020-2938-7_4
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