Detail publikace

Modular Mix-and-Match Complementation of Büchi Automata

HAVLENA, V. ŠMAHLÍKOVÁ, B. LENGÁL, O. LI, Y. TURRINI, A.

Originální název

Modular Mix-and-Match Complementation of Büchi Automata

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

Complementation of nondeterministic Büchi automata (BAs) is an important problem in automata theory with numerous applications in formal verification, such as termination analysis of programs, model checking, or in decision procedures of some logics. We build on ideas from a recent work on BA determinization by Li et al. and propose a new modular algorithm for BA complementation. Our algorithm allows to combine several BA complementation procedures together, with one procedure for a subset of the BAs strongly connected components (SCCs). In this way, one can exploit the structure of particular SCCs (such as when they are inherently weak or deterministic) and use more efficient specialized algorithms, regardless of the structure of the whole BA. We give a general framework into which partial complementation procedures can be plugged in, and its instantiation with several algorithms. The framework can, in general, produce a complement with an Emerson-Lei acceptance condition, which can often be more compact. Using the algorithm, we were able to establish an exponentially better new upper bound of O(4^n) for complementation of the recently introduced class of elevator automata. We implemented the algorithm in a prototype and performed a comprehensive set of experiments on a large set of benchmarks, showing that our framework complements well the state of the art and that it can serve as a basis for future efficient BA complementation and inclusion checking algorithms.

Klíčová slova

Büchi automata, omega regular languages, complementation

Autoři

HAVLENA, V.; ŠMAHLÍKOVÁ, B.; LENGÁL, O.; LI, Y.; TURRINI, A.

Vydáno

22. 4. 2023

Nakladatel

Springer Verlag

Místo

Paris

ISSN

0302-9743

Periodikum

Lecture Notes in Computer Science

Číslo

13993

Stát

Spolková republika Německo

Strany od

249

Strany do

270

Strany počet

22

BibTex

@inproceedings{BUT182441,
  author="HAVLENA, V. and ŠMAHLÍKOVÁ, B. and LENGÁL, O. and LI, Y. and TURRINI, A.",
  title="Modular Mix-and-Match Complementation of Büchi Automata",
  booktitle="Proceedings of TACAS'23",
  year="2023",
  journal="Lecture Notes in Computer Science",
  number="13993",
  pages="249--270",
  publisher="Springer Verlag",
  address="Paris",
  issn="0302-9743"
}