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A Compiled Implementation of Normalization by Evaluation

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Theorem Proving in Higher Order Logics (TPHOLs 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5170))

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Abstract

We present a novel compiled approach to Normalization by Evaluation (NBE) for ML-like languages. It supports efficient normalization of open λ-terms w.r.t. β-reduction and rewrite rules. We have implemented NBE and show both a detailed formal model of our implementation and its verification in Isabelle. Finally we discuss how NBE is turned into a proof rule in Isabelle.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Swansea University, UK

    Klaus Aehlig

  2. Institut für Informatik, Technische Universität München, Germany

    Florian Haftmann & Tobias Nipkow

Authors
  1. Klaus Aehlig
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  2. Florian Haftmann
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  3. Tobias Nipkow
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, Concordia University, 1455 de Maisonneuve Blvd. W, H3G 1M8, Montreal, Quebec, Canada

    Otmane Ait Mohamed

  2. National Institute of Aerospace, 100 Exploration Way, VA 23666, Hampton, USA

    César Muñoz

  3. Dept. of Electrical & Computer Engineering, Concordia University, 1455 de Maisonette W, H3G 1M8, Montreal, Quebec, Canada

    Sofiène Tahar

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Aehlig, K., Haftmann, F., Nipkow, T. (2008). A Compiled Implementation of Normalization by Evaluation. In: Mohamed, O.A., Muñoz, C., Tahar, S. (eds) Theorem Proving in Higher Order Logics. TPHOLs 2008. Lecture Notes in Computer Science, vol 5170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71067-7_8

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  • DOI: https://doi.org/10.1007/978-3-540-71067-7_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71065-3

  • Online ISBN: 978-3-540-71067-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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