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DOI: 10.4230/DROPS.MEMICS.2009.2349
URN: urn:nbn:de:0030-drops-23494
URL: http://drops.dagstuhl.de/opus/volltexte/2009/2349/
Gaiser, Andreas ; Schwoon, Stefan

Comparison of Algorithms for Checking Emptiness on Büchi Automata

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Abstract

We re-investigate the problem of LTL model-checking for finite-state systems. Typical solutions, like in Spin, work on the fly, reducing the problem to Büchi emptiness. This can be done in linear time, and a variety of algorithms with this property exist. Nonetheless, subtle design decisions can make a great difference to their actual performance in practice, especially when used on-the-fly. We compare a number of algorithms experimentally on a large benchmark suite, measure their actual run-time performance, and propose improvements. Compared with the algorithm implemented in Spin, our best algorithm is faster by about 33 % on average. We therefore recommend that, for on-the-fly explicit-state model checking, nested DFS should be replaced by better solutions.

BibTeX - Entry

@InProceedings{gaiser_et_al:OASIcs:2009:2349,
  author =	{Andreas Gaiser and Stefan Schwoon},
  title =	{Comparison of Algorithms for Checking Emptiness on B{\"u}chi Automata},
  booktitle =	{Annual Doctoral Workshop on Mathematical and Engineering Methods in Computer Science (MEMICS'09)},
  series =	{OpenAccess Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-15-6},
  ISSN =	{2190-6807},
  year =	{2009},
  volume =	{13},
  editor =	{Petr Hlinen{\'y} and V{\'a}clav Maty{\'a}{\v{s}} and Tom{\'a}{\v{s}} Vojnar},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2009/2349},
  URN =		{urn:nbn:de:0030-drops-23494},
  doi =		{http://dx.doi.org/10.4230/DROPS.MEMICS.2009.2349},
  annote =	{Keywords: LTL Model checking, Depth first search}
}

Keywords: LTL Model checking, Depth first search
Seminar: Annual Doctoral Workshop on Mathematical and Engineering Methods in Computer Science (MEMICS'09)
Issue date: 2009
Date of publication: 15.12.2009

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