Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en Mazza, Damiano http://www.dagstuhl.de/lipics License
when quoting this document, please refer to the following
DOI:
URN: urn:nbn:de:0030-drops-54053
URL:

Simple Parsimonious Types and Logarithmic Space

pdf-format:


Abstract

We present a functional characterization of deterministic logspace-computable predicates based on a variant (although not a subsystem) of propositional linear logic, which we call parsimonious logic. The resulting calculus is simply-typed and contains no primitive besides those provided by the underlying logical system, which makes it one of the simplest higher-order languages capturing logspace currently known. Completeness of the calculus uses the descriptive complexity characterization of logspace (we encode first-order logic with deterministic closure), whereas soundness is established by executing terms on a token machine (using the geometry of interaction).

BibTeX - Entry

@InProceedings{mazza:LIPIcs:2015:5405,
  author =	{Damiano Mazza},
  title =	{{Simple Parsimonious Types and Logarithmic Space}},
  booktitle =	{24th EACSL Annual Conference on Computer Science Logic (CSL 2015)},
  pages =	{24--40},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-90-3},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{41},
  editor =	{Stephan Kreutzer},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5405},
  URN =		{urn:nbn:de:0030-drops-54053},
  doi =		{10.4230/LIPIcs.CSL.2015.24},
  annote =	{Keywords: implicit computational complexity, linear logic, geometry of interaction}
}

Keywords: implicit computational complexity, linear logic, geometry of interaction
Seminar: 24th EACSL Annual Conference on Computer Science Logic (CSL 2015)
Issue date: 2015
Date of publication: 2015


DROPS-Home | Fulltext Search | Imprint | Privacy Published by LZI