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Computer Science > Formal Languages and Automata Theory

arXiv:2307.04235 (cs)
[Submitted on 9 Jul 2023]

Title:Optimizing an LTS-Simulation Algorithm (Technical Report)

Authors:Lukáš Holík, Jiří Šimáček
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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 noticeable time and space complexity blow-up proportional to the size of the alphabet of an LTS. In this paper, we present optimizations that suppress this increase of complexity 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 derived from a tree automaton.
Subjects: Formal Languages and Automata Theory (cs.FL)
Report number: FIT-TR-2009-03
Cite as: arXiv:2307.04235 [cs.FL]
  (or arXiv:2307.04235v1 [cs.FL] for this version)
  https://doi.org/10.48550/arXiv.2307.04235
Journal reference: Lukáš Holík and Jiří Šimáček, Optimizing an LTS-simulation algorithm. Computing and Informatics, 2010(7):1337-1348, 2010

Submission history

From: Lukas Holik [view email]
[v1] Sun, 9 Jul 2023 17:43:04 UTC (30 KB)
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