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A safe recursion scheme for exponential time

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Part of the book series: Lecture Notes in Computer Science ((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.

Research supported in part by NSF CCR-9408090, US-Czech Science and Technology Grant 93-025 and by the Volkswagen Stiftung.

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References

  1. S. Bellantoni. Predicative recursion and computational complexity. Technical Report 264/92, University of Toronto, Computer Science Department, September 1992. 164 pages.

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  2. S. Bellantoni and S. Cook. A new recursion-theoretic characterization of the polytime functions. Computational Complexity, 2:97–110, 1992.

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  3. S. Bloch. Function-algebraic characterizations of log and polylog parallel time. Computational Complexity, 4(2):175–205, 1994.

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  4. P. Clote. Computation models and function algebras. In E. Griffor, editor, Handbook of Recursion Theory. North Holland, in preparation.

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  5. B. Morden. A recursive and grammatical characterization of exponential time languages. Theoretical Computer Science, 3:61–74, 1977.

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Sergei Adian Anil Nerode

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© 1997 Springer-Verlag Berlin Heidelberg

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Clote, P. (1997). A safe recursion scheme for exponential time. In: Adian, S., Nerode, A. (eds) Logical Foundations of Computer Science. LFCS 1997. Lecture Notes in Computer Science, vol 1234. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63045-7_5

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  • DOI: https://doi.org/10.1007/3-540-63045-7_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63045-6

  • Online ISBN: 978-3-540-69065-8

  • eBook Packages: Springer Book Archive

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