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.STACS.2015.62
URN: urn:nbn:de:0030-drops-49042
URL: https://drops.dagstuhl.de/opus/volltexte/2015/4904/
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Avanzini, Martin ; Dal Lago, Ugo

On Sharing, Memoization, and Polynomial Time

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Abstract

We study how the adoption of an evaluation mechanism with sharing and memoization impacts the class of functions which can be computed in polynomial time. We first show how a natural cost model in which lookup for an already computed result has no cost is indeed invariant. As a corollary, we then prove that the most general notion of ramified recurrence is sound for polynomial time, this way settling an open problem in implicit computational complexity.

BibTeX - Entry

@InProceedings{avanzini_et_al:LIPIcs:2015:4904,
  author =	{Martin Avanzini and Ugo Dal Lago},
  title =	{{On Sharing, Memoization, and Polynomial Time}},
  booktitle =	{32nd International Symposium on Theoretical Aspects of Computer Science (STACS 2015)},
  pages =	{62--75},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-78-1},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{30},
  editor =	{Ernst W. Mayr and Nicolas Ollinger},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/4904},
  URN =		{urn:nbn:de:0030-drops-49042},
  doi =		{10.4230/LIPIcs.STACS.2015.62},
  annote =	{Keywords: implicit computational complexity, data-tiering, polynomial time}
}

Keywords: implicit computational complexity, data-tiering, polynomial time
Collection: 32nd International Symposium on Theoretical Aspects of Computer Science (STACS 2015)
Issue Date: 2015
Date of publication: 26.02.2015


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