• DocumentCode
    1697537
  • Title

    Counting Problems and Clones of Functions

  • Author

    Bulatov, Andrei A.

  • Author_Institution
    Simon Fraser Univ., Fraser, MI
  • fYear
    2009
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    Counting solutions of various combinatorial problems is a well established and intensively studied area of theoretical computer science. Its applications range from networking to statistical physics. The central question in this area is the complexity of and algorithms for problems of this type. It turns out that in many important cases these questions can be answered with aid of certain clones of functions of multi-valued logic. We show the connection between the two areas and survey recent advances in this research direction.
  • Keywords
    combinatorial mathematics; computational complexity; formal logic; clones of functions; combinatorial problems; counting problems; multi-valued logic; statistical physics; Application software; Cloning; Combinatorial mathematics; Computer science; Equations; Graph theory; Multivalued logic; Physics; Quantum computing; Quantum mechanics; clones; complexity; counting problems; multi-valued functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multiple-Valued Logic, 2009. ISMVL '09. 39th International Symposium on
  • Conference_Location
    Naha, Okinawa
  • ISSN
    0195-623X
  • Print_ISBN
    978-1-4244-3841-9
  • Electronic_ISBN
    0195-623X
  • Type

    conf

  • DOI
    10.1109/ISMVL.2009.47
  • Filename
    5010365