Publication detail

Automata Terms in a Lazy WSkS Decision Procedure

HAVLENA, V. HOLÍK, L. LENGÁL, O. VOJNAR, T.

Original Title

Automata Terms in a Lazy WSkS Decision Procedure

Type

journal article in Web of Science

Language

English

Original Abstract

We propose a lazy decision procedure for the logic WSkS. It builds a term-based symbolic representation of the state space of the tree automaton (TA) constructed by the classical WSkS decision procedure. The classical decision procedure transforms the symbolic representation into a TA via a bottom-up traversal and then tests its language non-emptiness, which corresponds to satisfiability of the formula. On the other hand, we start evaluating the representation from the top, construct the state space on the fly, and utilize opportunities to prune away parts of the state space irrelevant to the language emptiness test. In order to do so, we needed to extend the notion of language terms (denoting language derivatives) used in our previous procedure for the linear fragment of the logic (the so-called WS1S) into automata terms. We implemented our decision procedure and identified classes of formulae on which our prototype implementation is significantly faster than the classical procedure implemented in the MONA tool.

Keywords

WSkS,Tree automata,Automata term,Finite automata,Monadic second-order logic

Authors

HAVLENA, V.; HOLÍK, L.; LENGÁL, O.; VOJNAR, T.

Released

4. 8. 2021

ISBN

0168-7433

Periodical

JOURNAL OF AUTOMATED REASONING

Year of study

65

Number

7

State

Kingdom of the Netherlands

Pages from

971

Pages to

999

Pages count

29

URL

https://www.fit.vut.cz/research/publication/12557/

BibTex

@article{BUT175811,
  author="Vojtěch {Havlena} and Lukáš {Holík} and Ondřej {Lengál} and Tomáš {Vojnar}",
  title="Automata Terms in a Lazy WSkS Decision Procedure",
  journal="JOURNAL OF AUTOMATED REASONING",
  year="2021",
  volume="65",
  number="7",
  pages="971--999",
  doi="10.1007/s10817-021-09597-w",
  issn="0168-7433",
  url="https://www.fit.vut.cz/research/publication/12557/"
}