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.CSL.2013.101
URN: urn:nbn:de:0030-drops-41925
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2013/4192/
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Boudes, Pierre ; He, Fanny ; Pagani, Michele

A characterization of the Taylor expansion of lambda-terms

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Abstract

The Taylor expansion of lambda-terms, as introduced by Ehrhard and Regnier, expresses a lambda-term as a series of multi-linear terms, called simple terms, which capture bounded computations. Normal forms of Taylor expansions give a notion of infinitary normal forms, refining the notion of Böhm trees in a quantitative setting.
We give the algebraic conditions over a set of normal simple terms which characterize the property of being the normal form of the Taylor expansion of a lambda-term. From this full completeness result, we give further conditions which semantically describe normalizable and total lambda-terms.

BibTeX - Entry

@InProceedings{boudes_et_al:LIPIcs:2013:4192,
  author =	{Pierre Boudes and Fanny He and Michele Pagani},
  title =	{{A characterization of the Taylor expansion of lambda-terms}},
  booktitle =	{Computer Science Logic 2013 (CSL 2013)},
  pages =	{101--115},
  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/2013/4192},
  URN =		{urn:nbn:de:0030-drops-41925},
  doi =		{10.4230/LIPIcs.CSL.2013.101},
  annote =	{Keywords: Lambda-Calculus, B{\"o}hm trees, Differential Lambda-Calculus, Linear Logic}
}

Keywords: Lambda-Calculus, Böhm trees, Differential Lambda-Calculus, Linear Logic
Collection: Computer Science Logic 2013 (CSL 2013)
Issue Date: 2013
Date of publication: 02.09.2013

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