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Dependently-Typed Programming in Scientific Computing

Examples from Economic Modelling

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Implementation and Application of Functional Languages (IFL 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8241))

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Abstract

Computer simulations are essential in virtually every scientific discipline, even more so in those such as economics or climate change where the ability to make laboratory experiments is limited. Therefore, it is important to ensure that the models are implemented correctly, that they can be re-implemented and that the results can be reproduced. Typically, though, the models are described by a mixture of prose and mathematics which is insufficient for these purposes. We argue that using dependent types allows us to gradually reduce the gap between the mathematical description and the implementation, and we give examples from economic modelling. We discuss the consequences that our incremental approach has on programming style and the requirements it imposes on the dependently-typed programming languages used.

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Notes

  1. 1.

    And explore environments that could assist them in this task, such as Coq.

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Author information

Authors and Affiliations

  1. Potsdam Institute for Climate Impact Research, Potsdam, Germany

    Cezar Ionescu

  2. Chalmers University of Technology, Göteborg, Sweden

    Patrik Jansson

Authors
  1. Cezar Ionescu
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  2. Patrik Jansson
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Correspondence to Cezar Ionescu .

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Editors and Affiliations

  1. University of Oxford, Oxford, United Kingdom

    Ralf Hinze

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Ionescu, C., Jansson, P. (2013). Dependently-Typed Programming in Scientific Computing. In: Hinze, R. (eds) Implementation and Application of Functional Languages. IFL 2012. Lecture Notes in Computer Science(), vol 8241. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41582-1_9

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  • DOI: https://doi.org/10.1007/978-3-642-41582-1_9

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