Publication detail

Automata Terms in a Lazy WSkS Decision Procedure (Technical Report)

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

Original Title

Automata Terms in a Lazy WSkS Decision Procedure (Technical Report)

Type

report

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

22. 5. 2019

Location

Ithaca

Pages from

1

Pages to

25

Pages count

25

URL

https://arxiv.org/abs/1905.08697

BibTex

@techreport{BUT161940,
  author="Vojtěch {Havlena} and Lukáš {Holík} and Ondřej {Lengál} and Tomáš {Vojnar}",
  title="Automata Terms in a Lazy WSkS Decision Procedure (Technical Report)",
  year="2019",
  address="Ithaca",
  pages="1--25",
  url="https://arxiv.org/abs/1905.08697"
}