• DocumentCode
    2299531
  • Title

    On Equational Definability of Function Classes

  • Author

    Couceiro, Miguel ; Lehtonen, Erkko ; Waldhauser, Tamás

  • Author_Institution
    Technol. & Commun., Univ. of Luxembourg, Luxemburg City, Luxembourg
  • fYear
    2011
  • fDate
    23-25 May 2011
  • Firstpage
    182
  • Lastpage
    186
  • Abstract
    We propose a notion of functional equation for functions of a fixed arity, which is based on a pair of clones. We present necessary conditions for a class of functions to be definable by such equations, and show that for certain choices of clones these conditions are also sufficient.
  • Keywords
    functional equations; set theory; equational definability; fixed arity function; function class; functional equation; Boolean functions; Cloning; Equations; Presses; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multiple-Valued Logic (ISMVL), 2011 41st IEEE International Symposium on
  • Conference_Location
    Tuusula
  • ISSN
    0195-623X
  • Print_ISBN
    978-1-4577-0112-2
  • Electronic_ISBN
    0195-623X
  • Type

    conf

  • DOI
    10.1109/ISMVL.2011.19
  • Filename
    5954230