Publication detail

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

HAVLENA, V. LENGÁL, O. ŠMAHLÍKOVÁ, B.

Original Title

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

Type

conference paper

Language

English

Original 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.

Keywords

Büchi automata, complementation, elevator automata, model checking

Authors

HAVLENA, V.; LENGÁL, O.; ŠMAHLÍKOVÁ, B.

Released

2. 4. 2022

Publisher

Springer Verlag

Location

Munich

ISBN

978-3-030-99526-3

Book

Proceedings of TACAS'22

ISBN

0302-9743

Periodical

Lecture Notes in Computer Science

Number

13244

State

Federal Republic of Germany

Pages from

118

Pages to

136

Pages count

19

BibTex

@inproceedings{BUT175859,
  author="Vojtěch {Havlena} and Ondřej {Lengál} and Barbora {Šmahlíková}",
  title="Sky Is Not the Limit: Tighter Rank Bounds for Elevator Automata in Buchi Automata Complementation",
  booktitle="Proceedings of TACAS'22",
  year="2022",
  journal="Lecture Notes in Computer Science",
  number="13244",
  pages="118--136",
  publisher="Springer Verlag",
  address="Munich",
  doi="10.1007/978-3-030-99527-0\{_}7",
  isbn="978-3-030-99526-3",
  issn="0302-9743"
}