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URN: urn:nbn:de:0030-drops-65815
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The Relational Model Is Injective for Multiplicative Exponential Linear Logic

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Abstract

We prove a completeness result for Multiplicative Exponential Linear Logic (MELL): we show that the relational model is injective for MELL proof-nets, i.e. the equality between MELL proof-nets in the relational model is exactly axiomatized by cut-elimination.

BibTeX - Entry

@InProceedings{decarvalho:LIPIcs:2016:6581,
  author =	{Daniel de Carvalho},
  title =	{{The Relational Model Is Injective for Multiplicative Exponential Linear Logic}},
  booktitle =	{25th EACSL Annual Conference on Computer Science Logic (CSL 2016)},
  pages =	{41:1--41:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-022-4},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{62},
  editor =	{Jean-Marc Talbot and Laurent Regnier},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6581},
  URN =		{urn:nbn:de:0030-drops-65815},
  doi =		{10.4230/LIPIcs.CSL.2016.41},
  annote =	{Keywords: Linear Logic, Denotational semantics, Proof-nets}
}

Keywords: Linear Logic, Denotational semantics, Proof-nets
Seminar: 25th EACSL Annual Conference on Computer Science Logic (CSL 2016)
Issue date: 2016
Date of publication: 2016


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