Advertisement

A safe recursion scheme for exponential time

  • Peter Clote
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1234)

Abstract

Using a function algebra characterization of exponential time due to Monien [5], in the style of Bellantoni-Cook [2], we characterize exponential time functions of linear growth via a safe course-of-values recursion scheme.

Key words and phrases

exponential time safe recursion function algebra 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    S. Bellantoni. Predicative recursion and computational complexity. Technical Report 264/92, University of Toronto, Computer Science Department, September 1992. 164 pages.Google Scholar
  2. 2.
    S. Bellantoni and S. Cook. A new recursion-theoretic characterization of the polytime functions. Computational Complexity, 2:97–110, 1992.Google Scholar
  3. 3.
    S. Bloch. Function-algebraic characterizations of log and polylog parallel time. Computational Complexity, 4(2):175–205, 1994.Google Scholar
  4. 4.
    P. Clote. Computation models and function algebras. In E. Griffor, editor, Handbook of Recursion Theory. North Holland, in preparation.Google Scholar
  5. 5.
    B. Morden. A recursive and grammatical characterization of exponential time languages. Theoretical Computer Science, 3:61–74, 1977.Google Scholar
  6. 6.
    K. Wagner and G. Wechsung. Computational Complexity. Reidel Publishing Co., 1986.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Peter Clote
    • 1
  1. 1.Institut für InformatikLudwig-Maximilians-Universität MünchenMünchenGermany

Personalised recommendations