Issue No. 03 - March (1974 vol. 23)

ISSN: 0018-9340

pp: 294-300

R.S. Nutter , Accounting Computer Division, National Cash Register

ABSTRACT

Four commonly used multivalued algebras, the disjoint system of Post algebra developed by Epstein, the monotonic system of algebra called Muehldorf by some authors, the free system of algebra introduced by Braddock and Epstein, and the Herrmann system of algebra generalized here from its original three element algebra, are shown to be isomorphic. Transformations are then developed for transforming from one algebra to another. An example problem is presented to illustrate transforming from any of the above to the disjoint system of Post algebra.

INDEX TERMS

Disjoint system of algebra, logic simplification, many-valued logic, multiple-valued switching functions, multivalued logic, nonbinary logic, Post algebra.

CITATION

R.S. Nutter, R.E. Swartwout, D.C. Rine, "Equivalence and Transformations for Post Multivalued Algebras",

*IEEE Transactions on Computers*, vol. 23, no. , pp. 294-300, March 1974, doi:10.1109/T-C.1974.223925CITATIONS