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.2017.98
URN: urn:nbn:de:0030-drops-74470
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7447/
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Datta, Samir ; Mukherjee, Anish ; Schwentick, Thomas ; Vortmeier, Nils ; Zeume, Thomas

A Strategy for Dynamic Programs: Start over and Muddle Through

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LIPIcs-ICALP-2017-98.pdf (0.6 MB)

Abstract

A strategy for constructing dynamic programs is introduced that utilises periodic computation of auxiliary data from scratch and the ability to maintain a query for a limited number of change steps. It is established that if some program can maintain a query for log n change steps after an AC^1-computable initialisation, it can be maintained by a first-order dynamic program as well, i.e., in DynFO. As an application, it is shown that decision and optimisation problems defined by monadic second-order (MSO) and guarded second-order logic (GSO) formulas are in DynFO, if only change sequences that produce graphs of bounded treewidth are allowed. To establish this result, Feferman-Vaught-type composition theorems for MSO and GSO are established that might be useful in their own right.

BibTeX - Entry

@InProceedings{datta_et_al:LIPIcs:2017:7447,
  author =	{Samir Datta and Anish Mukherjee and Thomas Schwentick and Nils Vortmeier and Thomas Zeume},
  title =	{{A Strategy for Dynamic Programs: Start over and Muddle Through}},
  booktitle =	{44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)},
  pages =	{98:1--98:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-041-5},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{80},
  editor =	{Ioannis Chatzigiannakis and Piotr Indyk and Fabian Kuhn and Anca Muscholl},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7447},
  URN =		{urn:nbn:de:0030-drops-74470},
  doi =		{10.4230/LIPIcs.ICALP.2017.98},
  annote =	{Keywords: dynamic complexity, treewidth, monadic second order logic}
}

Keywords: dynamic complexity, treewidth, monadic second order logic
Collection: 44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)
Issue Date: 2017
Date of publication: 07.07.2017

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