• DocumentCode
    1347550
  • Title

    On the polynomial form of Boolean functions: derivations and applications

  • Author

    Schneeweiss, Winfrid G.

  • Author_Institution
    Dept. of Comput. Sci., Fern Univ., Hagen, Germany
  • Volume
    47
  • Issue
    2
  • fYear
    1998
  • fDate
    2/1/1998 12:00:00 AM
  • Firstpage
    217
  • Lastpage
    221
  • Abstract
    After discussing a few derivations of the canonical, i.e., unique, polynomial form of a Boolean function, various interesting applications of this form are discussed. Mainly, the polynomial form is shown to be very useful for a deeper understanding of switching functions with emphasis on fault tolerant electronics systems
  • Keywords
    Boolean functions; fault tolerant computing; switching functions; Bonferroni inequalities; Boolean functions; Reed-Muller form; Shannon expansion; derivations; fault tolerance; fault tolerant; polynomial form; switching functions; Boolean algebra; Boolean functions; Equations; Failure analysis; Fault tolerance; Fault tolerant systems; Fault trees; Logic design; Polynomials; Probability;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/12.663768
  • Filename
    663768
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1347550