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Towards Generic Programming with Sized Types

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Book cover Mathematics of Program Construction (MPC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4014))

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Abstract

Instances of a polytypic or generic program for a concrete recursive type often exhibit a recursion scheme that is derived from the recursion scheme of the instantiation type. In practice, the programs obtained from a generic program are usually terminating, but the proof of termination cannot be carried out with traditional methods as term orderings alone, since termination often crucially relies on the program type. This problem is tackled by an adaption of type-based termination to generic programming, and a framework for sized polytypic programming is described.

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Authors and Affiliations

  1. Institut für Informatik, Ludwigs-Maximilians-Universität München, Oettingenstr. 67, D-80538, München, Germany

    Andreas Abel

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  1. Andreas Abel
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Editors and Affiliations

  1. Institute of Cybernetics at Tallinn University of Technology, Akadeemia tee 21, EE-12618, Tallinn, Estonia

    Tarmo Uustalu

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Abel, A. (2006). Towards Generic Programming with Sized Types. In: Uustalu, T. (eds) Mathematics of Program Construction. MPC 2006. Lecture Notes in Computer Science, vol 4014. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11783596_4

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  • DOI: https://doi.org/10.1007/11783596_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35631-8

  • Online ISBN: 978-3-540-35632-5

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