• DocumentCode
    3477845
  • Title

    Hyperoperations on {0, 1, 2} based on Min, Max, and Universal Literal operations

  • Author

    Takagi, Noboru ; Nakashima, Kyoichi

  • Author_Institution
    Dept. of Electron. & Informatics, Toyama Prefectural Univ., Japan
  • fYear
    2003
  • fDate
    16-19 May 2003
  • Firstpage
    11
  • Lastpage
    16
  • Abstract
    This paper will discuss functions with hyperstructure based on Min, Max, and Universal Literal operations on {0, 1, 2}. These three types of operations will be expanded into operations on the set P3 of non-empty subsets of {0, 1, 2}. Then, the paper will define a special type of compositions, called formulas, and will show a necessary and sufficient condition for a function on P3 to be expressed by a formula.
  • Keywords
    set theory; ternary logic; Max operation; Min operation; Universal Literal operations; formulas; hyperoperations; nonempty subsets; Circuits; Cloning; Erbium; Hazards; Informatics; Multivalued logic; Strontium; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multiple-Valued Logic, 2003. Proceedings. 33rd International Symposium on
  • ISSN
    0195-623X
  • Print_ISBN
    0-7695-1918-0
  • Type

    conf

  • DOI
    10.1109/ISMVL.2003.1201378
  • Filename
    1201378
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3477845