Publication detail

Simulations in Rank-Based Büchi Automata Complementation

CHEN, Y. HAVLENA, V. LENGÁL, O.

Original Title

Simulations in Rank-Based Büchi Automata Complementation

Type

conference paper

Language

English

Original Abstract

Complementation of Büchi automata is an essential technique used in some approaches for termination analysis of programs. The long search for an optimal complementation construction climaxed with the work of Schewe, who proposed a worst-case optimal rank-based procedure that generates complements of a size matching the theoretical lower bound of (0.76n)^n, modulo a polynomial factor of O(n^2). Although worst-case optimal, the procedure in many cases produces automata that are unnecessarily large. In this paper, we propose several ways of how to use the direct and delayed simulation relations to reduce the size of the automaton obtained in the rank-based complementation procedure. Our techniques are based on either (i) ignoring macrostates that cannot be used for accepting a word in the complement or (ii) saturating macrostates with simulation-smaller states, in order to decrease their total number. We experimentally showed that our techniques can indeed considerably decrease the size of the output of the complementation.

Keywords

Büchi automata, termination analysis, simulation, complementation, rank-based complementation

Authors

CHEN, Y.; HAVLENA, V.; LENGÁL, O.

Released

1. 12. 2019

Publisher

Springer International Publishing

Location

Nusa Dua

ISBN

0302-9743

Periodical

Lecture Notes in Computer Science

Number

11893

State

Federal Republic of Germany

Pages from

447

Pages to

467

Pages count

21

URL

https://www.fit.vut.cz/research/publication/12051/

BibTex

@inproceedings{BUT161460,
  author="Yu-Fang {Chen} and Vojtěch {Havlena} and Ondřej {Lengál}",
  title="Simulations in Rank-Based Büchi Automata Complementation",
  booktitle="Proceedings of 17th Asian Symposium on Programming Languages and Systems (APLAS)",
  year="2019",
  journal="Lecture Notes in Computer Science",
  number="11893",
  pages="447--467",
  publisher="Springer International Publishing",
  address="Nusa Dua",
  doi="10.1007/978-3-030-34175-6\{_}23",
  issn="0302-9743",
  url="https://www.fit.vut.cz/research/publication/12051/"
}

Documents

buchi-mata-aplas.pdf