Publication Details

Sky Is Not the Limit: Tighter Rank Bounds for Elevator Automata in Buchi Automata Complementation (Technical Report)

HAVLENA Vojtěch, LENGÁL Ondřej and ŠMAHLÍKOVÁ Barbora. Sky Is Not the Limit: Tighter Rank Bounds for Elevator Automata in Buchi Automata Complementation (Technical Report). Ithaca, 2022. Available from: https://arxiv.org/abs/2110.10187
Czech title
Nebe není hranice: těsnější omezení na úrovně pro výtahové automaty při komplementaci Büchiho automatů (technická zpráva)
Type
technical report
Language
english
Authors
Havlena Vojtěch, Ing., Ph.D. (DITS FIT BUT)
Lengál Ondřej, Ing., Ph.D. (DITS FIT BUT)
Šmahlíková Barbora, Ing. (FIT BUT)
URL
Keywords

Büchi automata, complementation, elevator automata, model checking

Abstract

We propose several heuristics for mitigating one of the main causes of combinatorial explosion in rank-based complementation of Büchi automata (BAs): unnecessarily high bounds on the ranks of states. First, we identify elevator automata, which is a large class of BAs (generalizing semi-deterministic BAs), occurring often in practice, where ranks of states are bounded according to the structure of strongly connected components. The bounds for elevator automata also carry over to general BAs that contain elevator automata as a sub-structure. Second, we introduce two techniques for refining bounds on the ranks of BA states using data-flow analysis of the automaton. We implement out techniques as an extension of the tool Ranker for BA complementation and show that they indeed greatly prune the generated state space, obtaining significantly better results and outperforming other state-of-the-art tools on a large set of benchmarks.

Published
2022
Pages
27
Place
Ithaca, US
BibTeX
@TECHREPORT{FITPUB12669,
   author = "Vojt\v{e}ch Havlena and Ond\v{r}ej Leng\'{a}l and Barbora \v{S}mahl\'{i}kov\'{a}",
   title = "Sky Is Not the Limit: Tighter Rank Bounds for Elevator Automata in Buchi Automata Complementation (Technical Report)",
   pages = 27,
   year = 2022,
   location = "Ithaca, US",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12669"
}
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