• DocumentCode
    2295915
  • Title

    The radii of Sheffer functions over E(3)

  • Author

    Beckman, Jeffrey ; Wesselkamper, T.C.

  • Author_Institution
    Graduate Sch., City Univ. of New York, NY, USA
  • fYear
    1995
  • fDate
    23-25 May 1995
  • Firstpage
    72
  • Lastpage
    77
  • Abstract
    If f is a two place function over E(k) that is either Sheffer or Sheffer with constants, then the radius of f is that least natural number r such that each two place function over E(k) can be defined as the composition of r or fewer copies of f. The radii of the 322 isotopy classes of Sheffer functions over E(3) are calculated. A sequence of useful conditions that a Sheffer function have small radius is developed; a sequence of useful conditions that a symmetric Sheffer function have small radius is developed
  • Keywords
    functions; multivalued logic; E(3); Sheffer functions radii; isotopy classes; least natural number; symmetric Sheffer function; two place function; Circuits; Educational institutions; Performance evaluation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multiple-Valued Logic, 1995. Proceedings., 25th International Symposium on
  • Conference_Location
    Bloomington, IN
  • ISSN
    0195-623X
  • Print_ISBN
    0-8186-7118-1
  • Type

    conf

  • DOI
    10.1109/ISMVL.1995.513512
  • Filename
    513512