Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Czajka, Lukasz https://www.dagstuhl.de/lipics License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
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URN: urn:nbn:de:0030-drops-91831
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Term Rewriting Characterisation of LOGSPACE for Finite and Infinite Data

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Abstract

We show that LOGSPACE is characterised by finite orthogonal tail-recursive cons-free constructor term rewriting systems, contributing to a line of research initiated by Neil Jones. We describe a LOGSPACE algorithm which computes constructor normal forms. This algorithm is used in the proof of our main result: that simple stream term rewriting systems characterise LOGSPACE-computable stream functions as defined by Ramyaa and Leivant. This result concerns characterising logarithmic-space computation on infinite streams by means of infinitary rewriting.

BibTeX - Entry

@InProceedings{czajka:LIPIcs:2018:9183,
  author =	{Lukasz Czajka},
  title =	{{Term Rewriting Characterisation of LOGSPACE for Finite and Infinite Data}},
  booktitle =	{3rd International Conference on Formal Structures for  Computation and Deduction (FSCD 2018)},
  pages =	{13:1--13:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-077-4},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{108},
  editor =	{H{\'e}l{\`e}ne Kirchner},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9183},
  URN =		{urn:nbn:de:0030-drops-91831},
  doi =		{10.4230/LIPIcs.FSCD.2018.13},
  annote =	{Keywords: LOGSPACE, implicit complexity, term rewriting, infinitary rewriting, streams}
}

Keywords: LOGSPACE, implicit complexity, term rewriting, infinitary rewriting, streams
Seminar: 3rd International Conference on Formal Structures for Computation and Deduction (FSCD 2018)
Issue date: 2018
Date of publication: 04.07.2018


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