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.TYPES.2014.221
URN: urn:nbn:de:0030-drops-54995
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5499/
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Polonsky, Andrew

Extensionality of lambda-*

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Abstract

We prove an extensionality theorem for the "type-in-type" dependent type theory with Sigma-types. We suggest that in type theory the notion of extensional equality be identified with the logical equivalence relation defined by induction on type structure.

BibTeX - Entry

@InProceedings{polonsky:LIPIcs:2015:5499,
  author =	{Andrew Polonsky},
  title =	{{Extensionality of lambda-*}},
  booktitle =	{20th International Conference on Types for Proofs and Programs (TYPES 2014)},
  pages =	{221--250},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-88-0},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{39},
  editor =	{Hugo Herbelin and Pierre Letouzey and Matthieu Sozeau},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5499},
  URN =		{urn:nbn:de:0030-drops-54995},
  doi =		{10.4230/LIPIcs.TYPES.2014.221},
  annote =	{Keywords: Extensionality, logical relations, type theory, lambda calculus, reflection}
}

Keywords: Extensionality, logical relations, type theory, lambda calculus, reflection
Collection: 20th International Conference on Types for Proofs and Programs (TYPES 2014)
Issue Date: 2015
Date of publication: 12.10.2015

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