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Subpolynomial complexity classes of real functions and real numbers

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Automata, Languages and Programming (ICALP 1986)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 226))

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Abstract

In this paper a definition of computability and complexity of real functions and real numbers is given which is open to methods of recursive function theory as well as to methods of numerical analysis. As an example of application we study the computational complexity of roots and thereby establish a subpolynomial hierarchy of real closed fields.

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Laurent Kott

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© 1986 Springer-Verlag Berlin Heidelberg

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Müller, N.T. (1986). Subpolynomial complexity classes of real functions and real numbers. In: Kott, L. (eds) Automata, Languages and Programming. ICALP 1986. Lecture Notes in Computer Science, vol 226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16761-7_78

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  • DOI: https://doi.org/10.1007/3-540-16761-7_78

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16761-7

  • Online ISBN: 978-3-540-39859-2

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