Publication Details

Optimizing an LTS-Simulation Algorithm

HOLÍK, L.; ŠIMÁČEK, J. Optimizing an LTS-Simulation Algorithm. 5th Doctoral Workshop on Mathematical and Engineering Methods in Computer Science. Znojmo: Faculty of Informatics MU, 2009. p. 93-101. ISBN: 978-3-939897-15-6.
Czech title
Optimalizace algoritmu pro výpočet relace simulace
Type
conference paper
Language
English
Authors
Holík Lukáš, doc. Mgr., Ph.D. (DITS)
Šimáček Jiří, Ing., Ph.D.
URL
Keywords

simulation, labeled transition system, finite automata, tree automata

Abstract

When comparing the fastest algorithm for computing the largest simulation preorder over Kripke structures with the one for labeled transition systems (LTS), there is a notable time and space complexity blow-up proportional to the size of the alphabet of an LTS.  In this paper, we present optimizations that lower this blow-up and may turn a large alphabet of an LTS to an advantage. Our experimental results show significant speed-ups and memory savings. Moreover, the optimized algorithm allows one to improve asymptotic complexity of procedures for computing simulations over tree automata using recently proposed algorithms based on computing simulation over certain special LTS.

Annotation

When comparing the fastest algorithm for computing the largest simulation preorder over
Kripke structures with the one for labeled transition systems (LTS), there is
a notable time and space complexity blow-up proportional to the size of the
alphabet of an LTS.  In this paper, we present optimizations that lower this
blow-up and may turn a large alphabet of an LTS to an advantage. Our
experimental results show significant speed-ups and memory savings. Moreover,
the optimized algorithm allows one to improve asymptotic complexity of
procedures for computing simulations over tree automata using recently proposed
algorithms based on computing simulation over certain special LTS.

Published
2009
Pages
93–101
Proceedings
5th Doctoral Workshop on Mathematical and Engineering Methods in Computer Science
ISBN
978-3-939897-15-6
Publisher
Faculty of Informatics MU
Place
Znojmo
BibTeX 
@inproceedings{BUT30855,
  author="Lukáš {Holík} and Jiří {Šimáček}",
  title="Optimizing an LTS-Simulation Algorithm",
  booktitle="5th Doctoral Workshop on Mathematical and Engineering Methods in Computer Science",
  year="2009",
  pages="93--101",
  publisher="Faculty of Informatics MU",
  address="Znojmo",
  isbn="978-3-939897-15-6",
  url="http://www.fit.vutbr.cz/~holik/pub/FIT-TR-2009-03.pdf"
}
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