License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.TLCA.2015.273
URN: urn:nbn:de:0030-drops-51699
URL: https://drops.dagstuhl.de/opus/volltexte/2015/5169/
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Pientka, Brigitte ; Abel, Andreas

Well-Founded Recursion over Contextual Objects

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Abstract

We present a core programming language that supports writing well-founded structurally recursive functions using simultaneous pattern matching on contextual LF objects and contexts. The main technical tool is a coverage checking algorithm that also generates valid recursive calls. To establish consistency, we define a call-by-value small-step semantics and prove that every well-typed program terminates using a reducibility semantics. Based on the presented methodology we have implemented a totality checker as part of the programming and proof environment Beluga where it can be used to establish that a total Beluga program corresponds to a proof.

BibTeX - Entry

@InProceedings{pientka_et_al:LIPIcs:2015:5169,
  author =	{Brigitte Pientka and Andreas Abel},
  title =	{{Well-Founded Recursion over Contextual Objects}},
  booktitle =	{13th International Conference on Typed Lambda Calculi and Applications (TLCA 2015)},
  pages =	{273--287},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-87-3},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{38},
  editor =	{Thorsten Altenkirch},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5169},
  URN =		{urn:nbn:de:0030-drops-51699},
  doi =		{10.4230/LIPIcs.TLCA.2015.273},
  annote =	{Keywords: Type systems, Dependent Types, Logical Frameworks}
}

Keywords: Type systems, Dependent Types, Logical Frameworks
Collection: 13th International Conference on Typed Lambda Calculi and Applications (TLCA 2015)
Issue Date: 2015
Date of publication: 15.06.2015


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