• DocumentCode
    1114934
  • Title

    Equivalence and Transformations for Post Multivalued Algebras

  • Author

    Nutter, Roy S. ; Swartwout, Robert E. ; Rine, David C.

  • Author_Institution
    Accounting Computer Division, National Cash Register
  • Issue
    3
  • fYear
    1974
  • fDate
    3/1/1974 12:00:00 AM
  • Firstpage
    294
  • Lastpage
    300
  • 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.
  • Keywords
    Disjoint system of algebra, logic simplification, many-valued logic, multiple-valued switching functions, multivalued logic, nonbinary logic, Post algebra.; Algebra; Computer science; Logic functions; Multivalued logic; Registers; Switching systems; Disjoint system of algebra, logic simplification, many-valued logic, multiple-valued switching functions, multivalued logic, nonbinary logic, Post algebra.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1974.223925
  • Filename
    1672518