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

conference paper

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, weak second-order logic, tree automata, lazy evaluation

Authors

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

Released

30. 8. 2019

Publisher

Springer Verlag

Location

Natal

ISBN

0302-9743

Periodical

Lecture Notes in Computer Science

Year of study

11716

Number

11716

State

Federal Republic of Germany

Pages from

300

Pages to

318

Pages count

19

URL

https://www.fit.vut.cz/research/publication/11973/

BibTex

@inproceedings{BUT159972,
  author="Vojtěch {Havlena} and Lukáš {Holík} and Ondřej {Lengál} and Tomáš {Vojnar}",
  title="Automata Terms in a Lazy WSkS Decision Procedure",
  booktitle="Proceedings of 27th International Conference on Automated Deduction (CADE-27)",
  year="2019",
  journal="Lecture Notes in Computer Science",
  volume="11716",
  number="11716",
  pages="300--318",
  publisher="Springer Verlag",
  address="Natal",
  doi="10.1007/978-3-030-29436-6\{_}18",
  issn="0302-9743",
  url="https://www.fit.vut.cz/research/publication/11973/"
}