• DocumentCode
    2993428
  • Title

    Clarifying the axioms of Kleene algebra based on the method of indeterminate coefficients

  • Author

    Ninomiya, Tomoko ; Mukaidono, Masao

  • Author_Institution
    Inf. Sci. Center, Meiji Univ., Japan
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    125
  • Lastpage
    130
  • Abstract
    After introducing the method of indeterminate coefficients, by which we can derive all finite models satisfying a given set of axioms, we derive all models of 8 elements of Kleene algebra by using the method, and find out many examples of a set of independent and complete axioms of Kleene algebra by checking whether each axiom in Kleene algebra is independent from others or not based on the method
  • Keywords
    Boolean algebra; fuzzy logic; multivalued logic; Kleene algebra; axioms; finite models; indeterminate coefficients; Algebra; Counting circuits; Equations; Fuzzy logic; Fuzzy set theory; Humans; Logic functions; Read only memory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multiple-Valued Logic, 1999. Proceedings. 1999 29th IEEE International Symposium on
  • Conference_Location
    Freiburg
  • ISSN
    0195-623X
  • Print_ISBN
    0-7695-0161-3
  • Type

    conf

  • DOI
    10.1109/ISMVL.1999.779706
  • Filename
    779706