Publication Details

Sky Is Not the Limit: Tighter Rank Bounds for Elevator Automata in Buchi Automata Complementation

HAVLENA Vojtěch, LENGÁL Ondřej and ŠMAHLÍKOVÁ Barbora. Sky Is Not the Limit: Tighter Rank Bounds for Elevator Automata in Buchi Automata Complementation. In: Proceedings of TACAS'22. Munich: Springer Verlag, 2022, pp. 118-136. ISBN 978-3-030-99526-3. ISSN 0302-9743.
Czech title
Nebe není hranice: těsnější omezení na úrovně pro výtahové automaty při komplementaci Büchiho automatů
Type
conference paper
Language
english
Authors
Havlena Vojtěch, Ing., Ph.D. (DITS FIT BUT)
Lengál Ondřej, Ing., Ph.D. (DITS FIT BUT)
Šmahlíková Barbora, Ing. (FIT BUT)
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
118-136
Journal
Lecture Notes in Computer Science, no. 13244, ISSN 0302-9743
Proceedings
Proceedings of TACAS'22
Conference
European Joint Conferences on Theory and Practice of Software -- ETAPS'22 (TACAS'22), Munich, DE
ISBN
978-3-030-99526-3
Publisher
Springer Verlag
Place
Munich, DE
DOI
UT WoS
000782398900007
EID Scopus
BibTeX
@INPROCEEDINGS{FITPUB12644,
   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",
   pages = "118--136",
   booktitle = "Proceedings of TACAS'22",
   journal = "Lecture Notes in Computer Science",
   number = 13244,
   year = 2022,
   location = "Munich, DE",
   publisher = "Springer Verlag",
   ISBN = "978-3-030-99526-3",
   ISSN = "0302-9743",
   doi = "10.1007/978-3-030-99527-0\_7",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12644"
}
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