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Wellfounded Schematic Definitions

  • Conference paper
Automated Deduction - CADE-17 (CADE 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1831))

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Abstract

A program scheme looks like a recursive function definition, except that it has free variables ‘on the right hand side’. As is well-known, equalities between schemes can capture powerful program transformations, e.g., translation to tail-recursive form. In this paper, we present a simple and general way to define program schemes, based on a particular form of the wellfounded recursion theorem. Each program scheme specifies a schematic induction theorem, which is automatically derived by formal proof from the wellfounded induction theorem. We present a few examples of how formal program transformations are expressed and proved in our approach. The mechanization reported here has been incorporated into both the HOL and Isabelle/HOL systems.

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Authors and Affiliations

  1. Cambridge University Computer Laboratory,  

    Konrad Slind

Authors
  1. Konrad Slind
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Editors and Affiliations

  1. Toyota Technological Institute at Chicago, 1427 E. 60th Street, 60637, Chicago, Illinois

    David McAllester

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© 2000 Springer-Verlag Berlin Heidelberg

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Slind, K. (2000). Wellfounded Schematic Definitions. In: McAllester, D. (eds) Automated Deduction - CADE-17. CADE 2000. Lecture Notes in Computer Science(), vol 1831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10721959_4

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  • DOI: https://doi.org/10.1007/10721959_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67664-5

  • Online ISBN: 978-3-540-45101-3

  • eBook Packages: Springer Book Archive

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