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.2015.211
URN: urn:nbn:de:0030-drops-51655
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5165/
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Guerrieri, Giulio ; Paolini, Luca ; Ronchi Della Rocca, Simona

Standardization of a Call-By-Value Lambda-Calculus

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Abstract

We study an extension of Plotkin's call-by-value lambda-calculus by means of two commutation rules (sigma-reductions). Recently, it has been proved that this extended calculus provides elegant characterizations of many semantic properties, as for example solvability. We prove a standardization theorem for this calculus by generalizing Takahashi's approach of parallel reductions. The standardization property allows us to prove that our calculus is conservative with respect to the Plotkin's one. In particular, we show that the notion of solvability for this calculus coincides with that for Plotkin's call-by-value lambda-calculus.

BibTeX - Entry

@InProceedings{guerrieri_et_al:LIPIcs:2015:5165,
  author =	{Giulio Guerrieri and Luca Paolini and Simona Ronchi Della Rocca},
  title =	{{Standardization of a Call-By-Value Lambda-Calculus}},
  booktitle =	{13th International Conference on Typed Lambda Calculi and Applications (TLCA 2015)},
  pages =	{211--225},
  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/2015/5165},
  URN =		{urn:nbn:de:0030-drops-51655},
  doi =		{10.4230/LIPIcs.TLCA.2015.211},
  annote =	{Keywords: standardization,sequentialization,lambda-calculus,sigma-reduction,par- allel reduction, call-by-value, head reduction, internal reduction, solvability}
}

Keywords: standardization,sequentialization,lambda-calculus,sigma-reduction,par- allel reduction, call-by-value, head reduction, internal reduction, solvability
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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