Publication detail

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

HAVLENA, V. LENGÁL, O. ŠMAHLÍKOVÁ, B.

Original Title

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

Type

report

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

27. 1. 2022

Location

Ithaca

Pages count

27

URL

https://arxiv.org/abs/2110.10187

BibTex

@techreport{BUT177117,
  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 (Technical Report)",
  year="2022",
  address="Ithaca",
  pages="27",
  url="https://arxiv.org/abs/2110.10187"
}