• DocumentCode
    2784582
  • Title

    On the power of small-depth threshold circuits

  • Author

    Håstad, Johan ; Goldmann, Mikael

  • Author_Institution
    R. Inst. of Technol., Stockholm, Sweden
  • fYear
    1990
  • fDate
    22-24 Oct 1990
  • Firstpage
    610
  • Abstract
    The power of threshold circuits of small depth is investigated. In particular, functions that require exponential-size unweighted threshold circuits of depth 3 when the bottom fan-in is restricted are given. It is proved that there are monotone functions fk that can be computed on depth k and linear size AND, OR circuits but require exponential-size to be computed by a depth-(k-1) monotone weighted threshold circuit
  • Keywords
    combinatorial switching; threshold logic; AND; OR circuits; bottom fan-in; functions; monotone functions; monotone weighted threshold circuit; small-depth threshold circuits; Circuits; Complexity theory; Cost function; Polynomials; Probability distribution; Protocols;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Foundations of Computer Science, 1990. Proceedings., 31st Annual Symposium on
  • Conference_Location
    St. Louis, MO
  • Print_ISBN
    0-8186-2082-X
  • Type

    conf

  • DOI
    10.1109/FSCS.1990.89582
  • Filename
    89582
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2784582