• DocumentCode
    2180730
  • Title

    Length of predicate calculus formulas as a new complexity measure

  • Author

    Immerman, Neil

  • fYear
    1979
  • fDate
    29-31 Oct. 1979
  • Firstpage
    337
  • Lastpage
    347
  • Abstract
    We introduce a new complexity measure, QR[f(n)], which clocks the size of formulas from predicate calculus needed to express a given property. Techniques from logic are used to prove sharp lower bounds in the measure. These results demonstrate space requirements for computations and may provide techniques for seperating Time and Space complexity classes because we show that: NSPACE[f(n)] ⊆ QR[(f(n))2/log(n)] ⊆ DSPACE[f(n)2].
  • Keywords
    Calculus; Clocks; Computer science; Extraterrestrial measurements; Length measurement; Logic; Size measurement; Testing; Time measurement; Turing machines;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Foundations of Computer Science, 1979., 20th Annual Symposium on
  • Conference_Location
    San Juan, Puerto Rico
  • ISSN
    0272-5428
  • Type

    conf

  • DOI
    10.1109/SFCS.1979.21
  • Filename
    4568029