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.ICALP.2019.123
URN: urn:nbn:de:0030-drops-106994
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/10699/
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Nguyen, Lê Thành Dung ; Pradic, Pierre

From Normal Functors to Logarithmic Space Queries

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LIPIcs-ICALP-2019-123.pdf (0.6 MB)


Abstract

We introduce a new approach to implicit complexity in linear logic, inspired by functional database query languages and using recent developments in effective denotational semantics of polymorphism. We give the first sub-polynomial upper bound in a type system with impredicative polymorphism; adding restrictions on quantifiers yields a characterization of logarithmic space, for which extensional completeness is established via descriptive complexity.

BibTeX - Entry

@InProceedings{nguyen_et_al:LIPIcs:2019:10699,
  author =	{Lê Th{\`a}nh Dung Nguyen and Pierre Pradic},
  title =	{{From Normal Functors to Logarithmic Space Queries}},
  booktitle =	{46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)},
  pages =	{123:1--123:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-109-2},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{132},
  editor =	{Christel Baier and Ioannis Chatzigiannakis and Paola Flocchini and Stefano Leonardi},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10699},
  URN =		{urn:nbn:de:0030-drops-106994},
  doi =		{10.4230/LIPIcs.ICALP.2019.123},
  annote =	{Keywords: coherence spaces, elementary linear logic, semantic evaluation}
}

Keywords: coherence spaces, elementary linear logic, semantic evaluation
Collection: 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)
Issue Date: 2019
Date of publication: 04.07.2019


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