Detail publikace

Simulations in Rank-Based Büchi Automata Complementation

CHEN, Y. HAVLENA, V. LENGÁL, O.

Originální název

Simulations in Rank-Based Büchi Automata Complementation

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

CHEN, Y.; HAVLENA, V.; LENGÁL, O.

Vydáno

1. 12. 2019

Nakladatel

Springer International Publishing

Místo

Nusa Dua

ISSN

0302-9743

Periodikum

Lecture Notes in Computer Science

Číslo

11893

Stát

Spolková republika Německo

Strany od

447

Strany do

467

Strany počet

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/"
}