Publication detail

Reducing (to) the Ranks: Efficient Rank-based Büchi Automata Complementation (Technical Report)

HAVLENA, V. LENGÁL, O.

Original Title

Reducing (to) the Ranks: Efficient Rank-based Büchi Automata Complementation (Technical Report)

Type

report

Language

English

Original Abstract

This paper provides several optimizations of the rank-based approach for complementing Büchi automata. We start with Schewe's theoretically optimal construction and develop a set of techniques for pruning its state space that are key to obtaining small complement automata in practice. In particular, the reductions (except one) have the property that they preserve (at least some) so-called super-tight runs, which are runs whose ranking is as tight as possible. Our evaluation on a large benchmark shows that the optimizations indeed significantly help the rank-based approach and that, in a large number of cases, the obtained complement is the smallest from those produced by state-of-the-art tools for Büchi complementation.

Keywords

Büchi automata,rank-based complementation,super-tight runs

Authors

HAVLENA, V.; LENGÁL, O.

Released

21. 7. 2021

Location

Ithaca

Pages from

1

Pages to

28

Pages count

28

URL

https://arxiv.org/abs/2010.07834

BibTex

@techreport{BUT175802,
  author="Vojtěch {Havlena} and Ondřej {Lengál}",
  title="Reducing (to) the Ranks: Efficient Rank-based Büchi Automata Complementation (Technical Report)",
  year="2021",
  address="Ithaca",
  pages="1--28",
  url="https://arxiv.org/abs/2010.07834"
}