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DOI: 10.4230/LIPIcs.CSL.2011.1
URN: urn:nbn:de:0030-drops-32152
URL: http://drops.dagstuhl.de/opus/volltexte/2011/3215/

Ehrhard, Thomas

Resource Lambda-Calculus: the Differential Viewpoint

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Abstract

We present differential linear logic and its models, the associated resource and differential lambda-calculi, and the Taylor expansion of promotion boxes. We also describe an antiderivative which seems to be available in many models of differential Linear Logic, and we present a very simple categorical axiom for this operation.

BibTeX - Entry

@InProceedings{ehrhard:LIPIcs:2011:3215,
  author =	{Thomas Ehrhard},
  title =	{{Resource Lambda-Calculus: the Differential Viewpoint}},
  booktitle =	{Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL},
  pages =	{1--1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-32-3},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{12},
  editor =	{Marc Bezem},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2011/3215},
  URN =		{urn:nbn:de:0030-drops-32152},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.CSL.2011.1},
  annote =	{Keywords: proof theory, lambda-calculus,  linear logic, denotational semantics}
}

Keywords: proof theory, lambda-calculus, linear logic, denotational semantics
Seminar: Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL
Issue date: 2011
Date of publication: 31.08.2011


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