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.2015.288
URN: urn:nbn:de:0030-drops-51705
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5170/
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Redmond, Brian F.

Polynomial Time in the Parametric Lambda Calculus

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Abstract

In this paper we investigate Implicit Computational Complexity via the parametric lambda calculus of Ronchi Della Rocca and Paolini. We show that a particular instantiation of the set of input values leads to a characterization of polynomial time computations in a similar way to Lafont’s Soft Linear Logic. This characterization is manifestly type-free and does not require any ad hoc extensions to the pure lambda calculus. Moreover, there is a natural extension to nondeterminism with the addition of explicit products.

BibTeX - Entry

@InProceedings{redmond:LIPIcs:2015:5170,
  author =	{Brian F. Redmond},
  title =	{{Polynomial Time in the Parametric Lambda Calculus}},
  booktitle =	{13th International Conference on Typed Lambda Calculi and Applications (TLCA 2015)},
  pages =	{288--301},
  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/2015/5170},
  URN =		{urn:nbn:de:0030-drops-51705},
  doi =		{10.4230/LIPIcs.TLCA.2015.288},
  annote =	{Keywords: Parametric Lambda Calculus, Polynomial Time Complexity, Combinators, Nondeterminism and Explicit Products, Implicit Computational Complexity}
}

Keywords: Parametric Lambda Calculus, Polynomial Time Complexity, Combinators, Nondeterminism and Explicit Products, Implicit Computational Complexity
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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