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When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2013.634
URN: urn:nbn:de:0030-drops-42233
URL: http://drops.dagstuhl.de/opus/volltexte/2013/4223/
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Statman, Rick

A New Type Assignment for Strongly Normalizable Terms

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Abstract

We consider an operator definable in the intuitionistic theory of monadic predicates and we axiomatize some of its properties in a definitional extension of that monadic logic. The axiomatization lends itself to a natural deduction formulation to which the Curry-Howard isomorphism can be applied. The resulting Church style type system has the property that an untyped term is typable if and only if it is strongly normalizable.

BibTeX - Entry

@InProceedings{statman:LIPIcs:2013:4223,
  author =	{Rick Statman},
  title =	{{A New Type Assignment for Strongly Normalizable Terms}},
  booktitle =	{Computer Science Logic 2013 (CSL 2013)},
  pages =	{634--652},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-60-6},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{23},
  editor =	{Simona Ronchi Della Rocca},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2013/4223},
  URN =		{urn:nbn:de:0030-drops-42233},
  doi =		{10.4230/LIPIcs.CSL.2013.634},
  annote =	{Keywords: lambda calculus}
}

Keywords: lambda calculus
Seminar: Computer Science Logic 2013 (CSL 2013)
Issue Date: 2013
Date of publication: 27.08.2013


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