Advertisement

The complexity of symmetric functions in parity normal forms

  • Carsten Damm
Communications
Part of the Lecture Notes in Computer Science book series (LNCS, volume 452)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [Aj83]
    Ajtai, M.: ∑11-formulae on finite structures, Ann. Pure and Applied Logics 24(1983), 1–48Google Scholar
  2. [BW87]
    Brustmann, B., Wegener, I.: The complexity of symmetric functions in bounded depth circuits, Information Processing Letters 25(1987), 217–219Google Scholar
  3. [Di80]
    Diskrete Mathematik und mathematische Fragen der Kybernetik, ed. Burosch, G., Kiesewetter, H., Berlin 1980, 274–277Google Scholar
  4. [DM89]
    Damm,C.,Meinel,Ch.:Separating completely complexity classes related to polynomial size Ω-decision trees, Proc. FCT'89(Szeged), LNCS 380, 127–136Google Scholar
  5. [DGS86]
    Denenberg, L.,Gurevich, Y.,Shelah, S.:Definability by constant-depth polynomial-size circuits, Information and control 70(1986), 216–240Google Scholar
  6. [FKPS85]
    Fagin, R.,Klawe, M.,Pippenger, N.,Stockmeyer, L.: Bounded depth, polynomial size circuits for symmetric functions, Theoretical Computer Science 36(1985), 239–250Google Scholar
  7. [FSS81]
    Furst,M.,Saxe,J.,Sipser,M.:Parity, circuits and the polynomial time hierarchy, Proc. 22nd IEEE FOCS (1981), 260–270Google Scholar
  8. [Hå86]
    Håstad,J.:Almost optimal lower bounds for small depth circuits. Proc. 18th ACM STOC (1986), 6–20Google Scholar
  9. [Ra86]
    Razborov, A.:Lower bounds on the size of bounded depth circuits over the basis {Λ,⊕}, preprint Steklov Inst. for Math., Moscow 1986 (see also Mat. Zam. 41(1987), 598–607)(in Russian)Google Scholar
  10. [Yao85]
    Yao, A.C.: Separating the polynomial time hierarchy by oracles Proc. 26th IEEE FOCS (1985), 1–10Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Carsten Damm
    • 1
  1. 1.Sektion Mathematik, Humboldt-Universität zu BerlinBerlin

Personalised recommendations