EXORcist Boolean algebra and interactions between binary strings

Abstract

Carrying on the arithmetization of Euler diagrams by George Boole, with refinements by Augustus De Morgan and others, the full‐scale incorporation of binary strings into the scheme is discussed, with emphasis on the usefulness of the operator EXOR and its consequent EXORcism of what had remained unclear. Examples and applications are given. By this powerful extension of Boolean algebra Euler/Venn diagrams of class relations can be digitally computed. Its uses to system theory and cybernetics are manifold.

Citation

Musès, C. (1995), "EXORcist Boolean algebra and interactions between binary strings", Kybernetes, Vol. 24 No. 4, pp. 33-43. https://doi.org/10.1108/03684929510089330