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When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.CCA.2009.2258
URN: urn:nbn:de:0030-drops-22581
URL: https://drops.dagstuhl.de/opus/volltexte/2009/2258/
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Berger, Ulrich
Contributed Papers

Realisability and Adequacy for (Co)induction

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Berger.2258.pdf (0.3 MB)

Abstract

We prove the correctness of a formalised realisability interpretation of extensions of first-order theories by inductive and coinductive definitions in an untyped $\lambda$-calculus with fixed-points. We illustrate the use of this interpretation for program extraction by some simple examples in the area of exact real number computation and hint at further non-trivial applications in computable analysis.

BibTeX - Entry

@InProceedings{berger:OASIcs:2009:2258,
  author =	{Ulrich Berger},
  title =	{{Realisability and Adequacy for (Co)induction}},
  booktitle =	{6th International Conference on Computability and Complexity in Analysis (CCA'09)},
  series =	{OpenAccess Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-12-5},
  ISSN =	{2190-6807},
  year =	{2009},
  volume =	{11},
  editor =	{Andrej Bauer and Peter Hertling and Ker-I Ko},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2009/2258},
  URN =		{urn:nbn:de:0030-drops-22581},
  doi =		{10.4230/OASIcs.CCA.2009.2258},
  annote =	{Keywords: Constructive Analysis, realisability, program extraction, semantics}
}

Keywords: Constructive Analysis, realisability, program extraction, semantics
Collection: 6th International Conference on Computability and Complexity in Analysis (CCA'09)
Issue Date: 2009
Date of publication: 25.11.2009

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