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On Lexicographic Termination Ordering with Space Bound Certifications

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Perspectives of System Informatics (PSI 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2244))

Abstract

We propose a method to analyse the program space complexity, based on termination orderings. This method can be implemented to certify the runspace of programs. We demonstrate that the class of functions computed by first order functional programs over free algebras which terminate by Lexicographic Path Ordering and admit a polynomial quasi-interpretation, is exactly the class of functions computable in polynomial space.

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Author information

Authors and Affiliations

  1. Loria, Calligramme project, B.P. 239, 54506, Vandœuvre-lès-Nancy Cedex, France

    Guillaume Bonfante, Jean-Yves Marion & Jean-Yves Moyen

Authors
  1. Guillaume Bonfante
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  2. Jean-Yves Marion
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  3. Jean-Yves Moyen
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Editor information

Editors and Affiliations

  1. Informatics and Mathematical Modelling, Technical University of Denmark, Bldg.322, 106-108, Richard Petersens Plads, 2800, Lyngby, Denmark

    Dines Bjørner

  2. Computer Science Department, Technical University of Munich, Arcisstr.21, 80290, Munich, Germany

    Manfred Broy

  3. A.P.Ershov Institute of Informatics Systems, Acad.Lavrentjev ave.,6, 630090, Novosibirsk, Russia

    Alexandre V. Zamulin

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© 2001 Springer-Verlag Berlin Heidelberg

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Bonfante, G., Marion, JY., Moyen, JY. (2001). On Lexicographic Termination Ordering with Space Bound Certifications. In: Bjørner, D., Broy, M., Zamulin, A.V. (eds) Perspectives of System Informatics. PSI 2001. Lecture Notes in Computer Science, vol 2244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45575-2_46

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  • DOI: https://doi.org/10.1007/3-540-45575-2_46

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43075-9

  • Online ISBN: 978-3-540-45575-2

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